#include <bits/stdc++.h>
                                                #include<iostream>
                                                #include<cstdio>
                                                #include<vector>
                                                #include<queue>
                                                #include<map>
                                                #include<cstring>
                                                #include<string>
                                                #include <math.h>
                                                #include<algorithm>
                                            //    #include <boost/multiprecision/cpp_int.hpp>
                                                #include<functional>
                                       #define int long long
                                                #define inf  1000000007
                                               #define pa pair<int,int>
                                         //       #define pa pair<double,double>
                                                #define ll long long
                                                #define pal pair<double,double>
                                                #define ppap pair<pa,int>
                                          #define PI 3.14159265358979323846
                                                #define paa pair<int,char>
                                                #define  mp make_pair
                                                #define  pb push_back
                                                #define EPS (1e-10)
                                                #define equals(a,b) (fabs((a)-(b))<EPS)
        int dx[4]={0,-1,0,1};
        int dy[4]={1,0,-1,0};
                                                using namespace std;
                                       			class pa3{
                                                	public:
                                                	int x,y,z;
                                                	pa3(int x=0,int y=0,int z=0):x(x),y(y),z(z) {}
                                                	bool operator < (const pa3 &p) const{
                                                		if(x!=p.x) return x<p.x;
                                                		if(y!=p.y) return y<p.y;
                                                		 return z<p.z;
                                                		//return x != p.x ? x<p.x: y<p.y;
                                                	}
                                       				bool operator > (const pa3 &p) const{
                                                		if(x!=p.x) return x>p.x;
                                                		if(y!=p.y) return y>p.y;
                                                		 return z>p.z;
                                                		//return x != p.x ? x<p.x: y<p.y;
                                                	}
                                                	bool operator == (const pa3 &p) const{
                                                		return x==p.x && y==p.y && z==p.z;
                                                	}
                                                		bool operator != (const pa3 &p) const{
                                                			return !( x==p.x && y==p.y && z==p.z);
                                                	}
                                                
                                                };
                                                
                                                class pa4{
                                                	public:
                                                	int x;
                                                	int y,z,w;
                                                	pa4(int x=0,int y=0,int z=0,int w=0):x(x),y(y),z(z),w(w) {}
                                                	bool operator < (const pa4 &p) const{
                                                		if(x!=p.x) return x<p.x;
                                                		if(y!=p.y) return y<p.y;
                                                		if(z!=p.z)return z<p.z;
                                                		return w<p.w;
                                                		//return x != p.x ? x<p.x: y<p.y;
                                                	}
                                                	bool operator > (const pa4 &p) const{
                                                		if(x!=p.x) return x>p.x;
                                                		if(y!=p.y) return y>p.y;
                                                		if(z!=p.z)return z>p.z;
                                                		return w>p.w;
                                                		//return x != p.x ? x<p.x: y<p.y;
                                                	}
                                                	bool operator == (const pa4 &p) const{
                                                		return x==p.x && y==p.y && z==p.z &&w==p.w;
                                                	}
                                                	
                                                	bool operator != (const pa4 &p) const{
                                                		return !(x==p.x && y==p.y && z==p.z &&w==p.w);
                                                	}
                                                		
                                                
                                                };
                                                class pa2{
                                                	public:
                                                	int x,y;
                                                	pa2(int x=0,int y=0):x(x),y(y) {}
                                                	pa2 operator + (pa2 p) {return pa2(x+p.x,y+p.y);}
                                                	pa2 operator - (pa2 p) {return pa2(x-p.x,y-p.y);}
                                                	bool operator < (const pa2 &p) const{
                                                		return x!= p.x ? x<p.x: y<p.y;
                                                	}
                                                	bool operator > (const pa2 &p) const{
                                                		return x != p.x ? x>p.x: y>p.y;
                                                	}
                                                	bool operator == (const pa2 &p) const{
                                                		return abs(x-p.x)==0 && abs(y-p.y)==0;
                                                	}
                                                	bool operator != (const pa2 &p) const{
                                                		return !(abs(x-p.x)==0 && abs(y-p.y)==0);
                                                	}
                                                		
                                                
                                                };
                                                
                                                       #define ppa pair<int,pas>
                                                class Point{
                                                	public:
                                                	double x,y;
                                                	Point(double x=0,double y=0):x(x),y(y) {}
                                                	Point operator + (Point p) {return Point(x+p.x,y+p.y);}
                                                	Point operator - (Point p) {return Point(x-p.x,y-p.y);}
                                                	Point operator * (double a) {return Point(x*a,y*a);}
                                                	Point operator / (double a) {return Point(x/a,y/a);}
                                                	double absv() {return sqrt(norm());}
                                                	double norm() {return x*x+y*y;}
                                                	bool operator < (const Point &p) const{
                                                		return x != p.x ? x<p.x: y<p.y;
                                                	}
                                                	bool operator == (const Point &p) const{
                                                		return fabs(x-p.x)<EPS && fabs(y-p.y)<EPS;
                                                	}
                                                };
                                                typedef Point Vector;
                                         #define pl pair<int,pas>
                                                struct Segment{
                                                Point p1,p2;
                                                };
                                                 double dot(Vector a,Vector b){
                                                	return a.x*b.x+a.y*b.y;
                                                }
                                                double cross(Vector a,Vector b){
                                                	return a.x*b.y-a.y*b.x;
                                                }
                                            
                    bool parareru(Point a,Point b,Point c,Point d){
                    //	if(abs(cross(a-b,d-c))<EPS)cout<<"dd "<<cross(a-b,d-c)<<endl;
                    	return abs(cross(a-b,d-c))<EPS;
                    }
                    double distance_ls_p(Point a, Point b, Point c) {
                      if ( dot(b-a, c-a) < EPS ) return (c-a).absv();
                      if ( dot(a-b, c-b) < EPS ) return (c-b).absv();
                      return abs(cross(b-a, c-a)) / (b-a).absv();
                    }
                    bool is_intersected_ls(Segment a,Segment b) {
                    	if(a.p1==b.p1||a.p2==b.p1||a.p1==b.p2||a.p2==b.p2) return false;
                    	if(parareru((a.p2),(a.p1),(a.p1),(b.p2))&&parareru((a.p2),(a.p1),(a.p1),(b.p1))){
                    //		cout<<"sss"<<endl;
                    		if(dot(a.p1-b.p1,a.p1-b.p2)<EPS) return true;
                    		if(dot(a.p2-b.p1,a.p2-b.p2)<EPS) return true;
                    		if(dot(a.p1-b.p1,a.p2-b.p1)<EPS) return true;
                    		if(dot(a.p1-b.p2,a.p2-b.p2)<EPS) return true;
                    		return false;
                    	}
                      else return ( cross(a.p2-a.p1, b.p1-a.p1) * cross(a.p2-a.p1, b.p2-a.p1) < EPS ) && ( cross(b.p2-b.p1, a.p1-b.p1) * cross(b.p2-b.p1, a.p2-b.p1) < EPS );
                    }
                     
                    double segment_dis(Segment a,Segment b){
                    	if(is_intersected_ls(a,b))return 0;
                    	double r=distance_ls_p(a.p1, a.p2, b.p1);
                    	r=min(r,distance_ls_p(a.p1, a.p2, b.p2));
                    	r=min(r,distance_ls_p(b.p1, b.p2, a.p2));
                    	r=min(r,distance_ls_p(b.p1, b.p2, a.p1));
                    	return r;
                    }
                    Point intersection_ls(Segment a, Segment b) {
                      Point ba = b.p2-b.p1;
                      double d1 = abs(cross(ba, a.p1-b.p1));
                      double d2 = abs(cross(ba, a.p2-b.p1));
                      double t = d1 / (d1 + d2);
                     
                      return a.p1 + (a.p2-a.p1) * t;
                    }
                     
                                    string itos( int i ) {
                                    ostringstream s ;
                                    s << i ;
                                    return s.str() ;
                                    }
                                     
                                    int gcd(int v,int b){
                                    	if(v>b) return gcd(b,v);
                                    	if(v==b) return b;
                                    	if(b%v==0) return v;
                                    	return gcd(v,b%v);
                                    }
                     
                                    double distans(double x1,double y1,double x2,double y2){
                                    	double rr=(x1-x2)*(x1-x2)+(y1-y2)*(y1-y2);
                                    	return sqrt(rr);
                                    	
                                    }
                                    int mod;
                    int pr[201000];
                    int inv[201000];
                   
                    int beki(int wa,int rr,int warukazu){
                    	if(rr==0) return 1%warukazu;
                    	if(rr==1) return wa%warukazu;
                    	if(rr%2==1) return (beki(wa,rr-1,warukazu)*wa)%warukazu;
                    	int zx=beki(wa,rr/2,warukazu);
                    	return (zx*zx)%warukazu;
                    }
                    /*
        double bekid(double w,int r){
        	if(r==0) return 1.0;
        	if(r==1) return w;
        	if(r%2) return bekid(w,r-1)*w;
        	double f=bekid(w,r/2);
        	return f*f;
        }*/
           /*       
        			int comb(int nn,int rr){
        				int r=pr[nn]*inv[rr];
        				r%=mod;
        				r*=inv[nn-rr];
        				r%=mod;
        				return r;
        			}
                  
                    void gya(int ert){
                    	pr[0]=1;
                    	for(int i=1;i<ert;i++){
                    		pr[i]=(pr[i-1]*i)%mod;
                    	}
                    	for(int i=0;i<ert;i++) inv[i]=beki(pr[i],mod-2,mod);
                    	
                    }
             */       
                  //   cin.tie(0);
        		//	ios::sync_with_stdio(false);
        			//priority_queue<pa3,vector<pa3>,greater<pa3>> pq;            
                     //sort(ve.begin(),ve.end(),greater<int>());
                                             //----------------kokomade tenpure------------

int d[20][20]={0};

int hami[1<<15]={0};
int nai[1<<15]={0};
int tori[1<<15]={0};
 int n,m;
int w(int r1,int r2){
	if(r1&r2) exit(1);
int ans=0;	
	for(int i=0;i<n;i++)for(int j=i+1;j<n;j++)if(d[i][j]){
		int g1=0,g2=0;
		if((r1&(1<<i))>0 &&(r2&(1<<j))>0)ans++;
		if((r2&(1<<i))>0 &&(r1&(1<<j))>0)ans++;

	}
	return ans;
}

void hnhn(int r){
	for(int i=0;i<n;i++)for(int j=i+1;j<n;j++)if(d[i][j]){
		int g1=0,g2=0;
		if((r&(1<<i))>0)g1++;
		if((r&(1<<j))>0)g2++;
		if(g1+g2==2) nai[r]++;
		if(g1+g2==1) hami[r]++;
	}
}
int zen;
int gya[300];
void we(int r,int moto){
	int rr=r;
	rr=((rr-4)&r);
	int ans=zen;
	while(1){
		
		int g=w(rr,(rr^r));
	//	cout<<bitset<4>(rr)<<" "<<bitset<4>(rr^r)<<" "<<g<<endl;
		int hoge=(tori[rr]*gya[g])%inf;
		
	//	cout<<bitset<4>(rr)<<" "<<bitset<4>(rr^r)<<" "<<g<<" "<<hoge<<endl;
		ans+=(inf-hoge);
		ans%=inf;
		if(rr==(1<<moto)) break;
	rr=((rr-4)&r);
	
	
	}
//	cout<<bitset<4>(r)<<" "<<ans<<endl;
	tori[r]=ans;
	
	return;
}

int kasan(int r1,int r2){
	if(w(r1,r2)) return 0;
//	cout<<bitset<4>(r1)<<" "<<bitset<4>(r2)<<" " <<tori[r1]<<" "<<tori[r2]<<" "<<hami[r1]<<" "<<hami[r2]<<endl;
	int y=(tori[r1]*tori[r2])%inf;
	y*=gya[m];
	y%=inf;
	y*=gya[hami[r1]+hami[r2]];
	y%=inf;
	return y;
}
  signed main(){
    	       cin.tie(0);
    			ios::sync_with_stdio(false);

  	cin>>n>>m;
  	int inv=beki(2,inf-2,inf);
  	gya[0]=1;
  	for(int i=1;i<300;i++)gya[i]=(gya[i-1]*inv)%inf;
  	zen=beki(2,m,inf);
  	for(int i=0;i<m;i++){
  		int a,b;
  		cin>>a>>b;
  		a--;b--;
  		d[a][b]=1;
  	}
  	for(int i=0;i<(1<<n);i++){
  		if(i%4==1 ||i%4==2  ){
  			hnhn(i);
  		}
  	}
  		
 // 	tori[1<<0]=1;
  //	tori[1<<1]=1;
  	
  	for(int i=1;i<(1<<n);i+=4){
  		we(i,0);
  	}
  	for(int i=2;i<(1<<n);i+=4){
  		we(i,1);
  	}
  
  	
  	int ans=0;
  //	cout<<"d"<<endl;
  	for(int i=0;i<(1<<n);i+=4){
  		int r=i;
  		
  		while(1){
  			
  			ans+=kasan(r+1,(i^r)+2);
  			if(r==0) break;
  			r=((r-4)&i);
  			ans%=inf;
  		}
  		
  	}
  	
  	ans=zen+inf-ans;
  	cout<<ans%inf<<endl;
        	return 0;
                }

Measured memory_bytes: 1152