#pragma GCC target("avx")  // CPU 処理並列化
#pragma GCC optimize("O3")  // CPU 処理並列化
#pragma GCC optimize("unroll-loops")  // 条件処理の呼び出しを減らす
// #define BEGIN_STACK_EXTEND(size) void * stack_extend_memory_ = malloc(size);void * stack_extend_origin_memory_;char * stack_extend_dummy_memory_ = (char*)alloca((1+(int)(((long long)stack_extend_memory_)&127))*16);*stack_extend_dummy_memory_ = 0;asm volatile("mov %%rsp, %%rbx\nmov %%rax, %%rsp":"=b"(stack_extend_origin_memory_):"a"((char*)stack_extend_memory_+(size)-1024));
// #define END_STACK_EXTEND asm volatile("mov %%rax, %%rsp"::"a"(stack_extend_origin_memory_));free(stack_extend_memory_);

#include<stdio.h>
#include<math.h>
#include<algorithm>
#include<queue>
#include<deque>
#include<stack>
#include<string>
#include<string.h>
#include<vector>
#include<set>
#include<map>
#include<bitset>
#include<stdlib.h>
#include<cassert>
#include<time.h>
#include<bitset>
#include<numeric>
#include<unordered_set>
#include<unordered_map>
#include<complex>
using namespace std;
const long long mod=1000000007;
const long long inf=mod*mod;
const long long d2=(mod+1)/2;
const double EPS=1e-11;
const double INF=1e+10;
const double PI=acos(-1.0);
const int C_SIZE = 11100000;
const int UF_SIZE = 3100000;
namespace{
	long long fact[C_SIZE];
	long long finv[C_SIZE];
	long long inv[C_SIZE];
	inline long long Comb(int a,int b){
	 	if(a<b||b<0)return 0;
	 	return fact[a]*finv[b]%mod*finv[a-b]%mod;
	}
	void init_C(int n){
		fact[0]=finv[0]=inv[1]=1;
		for(int i=2;i<n;i++){
			inv[i]=(mod-(mod/i)*inv[mod%i]%mod)%mod;
		}
		for(int i=1;i<n;i++){
			fact[i]=fact[i-1]*i%mod;
			finv[i]=finv[i-1]*inv[i]%mod;
		}
	}
	long long pw(long long a,long long b){
		if(a<0LL)return 0;
		if(b<0LL)return 0;
		long long ret=1;
		while(b){
			if(b%2)ret=ret*a%mod;
			a=a*a%mod;
			b/=2;
		}
		return ret;
	}
	long long pw_mod(long long a,long long b,long long M){
		if(a<0LL)return 0;
		if(b<0LL)return 0;
		long long ret=1;
		while(b){
			if(b%2)ret=ret*a%M;
			a=a*a%M;
			b/=2;
		}
		return ret;
	}
	int pw_mod_int(int a,int b,int M){
		if(a<0)return 0;
		if(b<0)return 0;
		int ret=1;
		while(b){
			if(b%2)ret=(long long)ret*a%M;
			a=(long long)a*a%M;
			b/=2;
		}
		return ret;
	}
	int ABS(int a){return max(a,-a);}
	long long ABS(long long a){return max(a,-a);}
	double ABS(double a){return max(a,-a);}
	int sig(double r) { return (r < -EPS) ? -1 : (r > +EPS) ? +1 : 0; }
	int UF[UF_SIZE];
	void init_UF(int n){
		for(int i=0;i<n;i++)UF[i]=-1;
	}
	int FIND(int a){
		if(UF[a]<0)return a;
		return UF[a]=FIND(UF[a]);
	}
	void UNION(int a,int b){
		a=FIND(a);b=FIND(b);if(a==b)return;
		if(UF[a]>UF[b])swap(a,b);
		UF[a]+=UF[b];UF[b]=a;
	}
}
// ここから編集しろ
long long dp[1<<15];
int p3[16];
int n;
int g[20][20];
int C[16][1<<15];
long long calc(int a){
	if(~dp[a])return dp[a];
	long long ret=1;
	int t=0;
	if(!(a&1))t=1;
	int tmp=a;
	while(tmp){
		if(tmp!=a&&(tmp&(1<<t))){
			int cnt=0;
			for(int i=0;i<n;i++){
				if(!(tmp&(1<<i)))continue;
				cnt+=C[i][a-tmp];
			}
			ret=(ret+mod-calc(tmp)*pw(d2,cnt)%mod)%mod;
		}
		tmp=(tmp-1)&a;
	}
	// printf("%d: %lld\n",a,ret);
	return dp[a]=ret;
}
int main(){
	int a,b;scanf("%d%d",&a,&b);n=a;
	for(int i=0;i<b;i++){
		int s,t;scanf("%d%d",&s,&t);s--;t--;
		g[s][t]=g[t][s]=1;
	}
	for(int i=0;i<a;i++){
		for(int j=0;j<(1<<a);j++){
			for(int k=0;k<a;k++){
				if(j&(1<<k)){
					if(g[i][k])C[i][j]++;
				}
			}
		}
	}
	long long ret=0;
	p3[0]=1;
	for(int i=0;i<(1<<a);i++)dp[i]=-1;
	for(int i=1;i<16;i++)p3[i]=p3[i-1]*3;
	for(int i=0;i<p3[a];i++){
		int A=0;
		int B=0;
		for(int j=0;j<a;j++){
			if(i/p3[j]%3==1)A+=(1<<j);
			if(i/p3[j]%3==2)B+=(1<<j);
		}
		if(!(A&1))continue;
		if(!(B&2))continue;
		bool ok=true;
		int cnt=0;
		for(int j=0;j<a;j++){
			if(!(A&(1<<j)))continue;
			if(C[j][B])ok=false;
			
		}
		if(!ok)continue;
		for(int j=0;j<a;j++){
			if(!(A&(1<<j)))continue;
			cnt+=C[j][(1<<a)-1-A];
		}
		for(int j=0;j<a;j++){
			if(!(B&(1<<j)))continue;
			cnt+=C[j][(1<<a)-1-B];
		}
		// printf("%d: %lld\n",i,pw(d2,cnt)*calc(A)%mod*calc(B)%mod);
		ret=(ret+pw(d2,cnt)*calc(A)%mod*calc(B))%mod;
	}
	ret=(1+mod-ret)%mod;
	ret=ret*pw(2,b)%mod;
	printf("%lld\n",ret);
}

Measured memory_bytes: 2304