#include <bits/stdc++.h>
using namespace std;
struct fast_ios { fast_ios(){ cin.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(20); }; } fast_ios_;
#define FOR(i, begin, end) for(int i=(begin);i<(end);i++)
#define REP(i, n) FOR(i,0,n)
#define IFOR(i, begin, end) for(int i=(end)-1;i>=(begin);i--)
#define IREP(i, n) IFOR(i,0,n)
#define Sort(v) sort(v.begin(), v.end())
#define Reverse(v) reverse(v.begin(), v.end())
#define all(v) v.begin(),v.end()
#define SZ(v) ((int)v.size())
#define Lower_bound(v, x) distance(v.begin(), lower_bound(v.begin(), v.end(), x))
#define Upper_bound(v, x) distance(v.begin(), upper_bound(v.begin(), v.end(), x))
#define Max(a, b) a = max(a, b)
#define Min(a, b) a = min(a, b)
#define bit(n) (1LL<<(n))
#define bit_exist(x, n) ((x >> n) & 1)
#define debug(x) cout << #x << "=" << x << endl;
#define vdebug(v) cout << #v << "=" << endl; REP(i, v.size()){ cout << v[i] << ","; } cout << endl;
#define mdebug(m) cout << #m << "=" << endl; REP(i, m.size()){ REP(j, m[i].size()){ cout << m[i][j] << ","; } cout << endl;}
#define pb push_back
#define f first
#define s second
#define int long long
#define INF 1000000000000000000
template<typename T> istream &operator>>(istream &is, vector<T> &v){ for (auto &x : v) is >> x; return is; }
template<typename T> ostream &operator<<(ostream &os, vector<T> &v){ for(int i = 0; i < v.size(); i++) { cout << v[i]; if(i != v.size() - 1) cout << endl; }; return os; }
template<typename T> void Out(T x) { cout << x << endl; }
template<typename T1, typename T2> void Ans(bool f, T1 y, T2 n) { if(f) Out(y); else Out(n); }

using vec = vector<int>;
using mat = vector<vec>;
using Pii = pair<int, int>;
using PiP = pair<int, Pii>;
using PPi = pair<Pii, int>;
using bools = vector<bool>;
using pairs = vector<Pii>;

//int dx[4] = {1,0,-1,0};
//int dy[4] = {0,1,0,-1};
//char d[4] = {'D','R','U','L'};

const int mod = 1000000007;
//const int mod = 998244353;
#define Add(x, y) x = (x + (y)) % mod
#define Mult(x, y) x = (x * (y)) % mod

template<long long MOD>
struct ModInt{

    using ll = long long;
    ll val;

    void setval(ll v) { val = v % MOD; };
    ModInt(): val(0) {}
    ModInt(ll v) { setval(v); };

    ModInt operator+(const ModInt &x) const { return ModInt(val + x.val); }
    ModInt operator-(const ModInt &x) const { return ModInt(val - x.val + MOD); }
    ModInt operator*(const ModInt &x) const { return ModInt(val * x.val); }
    ModInt operator/(const ModInt &x) const { return *this * x.inv(); }
    ModInt operator-() const { return ModInt(MOD - val); }
    ModInt operator+=(const ModInt &x) { return *this = *this + x; };
    ModInt operator-=(const ModInt &x) { return *this = *this - x; };
    ModInt operator*=(const ModInt &x) { return *this = *this * x; };
    ModInt operator/=(const ModInt &x) { return *this = *this / x; };

    friend ostream& operator<<(ostream &os, const ModInt &x) { os << x.val; return os; }
    friend istream& operator>>(istream &is, ModInt &x) { is >> x.val; x.val = (x.val % MOD + MOD) % MOD; return is; }

    ModInt pow(ll n) const {
        ModInt a = 1;
        if(n == 0) return a;
        int i0 = 64 - __builtin_clzll(n);
        for(int i = i0 - 1; i >= 0; i--){
            a = a * a;
            if((n >> i) & 1) a *= (*this); 
        }
        return a;
    }
    ModInt inv() const { return this->pow(MOD - 2); }
};

using mint = ModInt<mod>; mint pow(mint x, long long n) { return x.pow(n); }
//using mint = double; //for debug
using mvec = vector<mint>;
using mmat = vector<mvec>;

struct Combination{

    vector<mint> fact, invfact;

    Combination(int N){
        fact = vector<mint>({mint(1)});
        invfact = vector<mint>({mint(1)});
        fact_initialize(N);
    }

    void fact_initialize(int N){
        int i0 = fact.size();
        if(i0 >= N + 1) return;
        fact.resize(N + 1);
        invfact.resize(N + 1);
        for(int i = i0; i <= N; i++) fact[i] = fact[i - 1] * i;
        invfact[N] = (mint)1 / fact[N];
        for(int i = N - 1; i >= i0; i--) invfact[i] = invfact[i + 1] * (i + 1); 
    }

    mint nCr(int n, int r){
        if(n < 0 || r < 0 || r > n) return mint(0);
        if(fact.size() < n + 1) fact_initialize(n);
        return fact[n] * invfact[r] * invfact[n - r];
    }

    mint nPr(int n, int r){
        if(n < 0 || r < 0 || r > n) return mint(0);
        if(fact.size() < n + 1) fact_initialize(n);
        return fact[n] * invfact[n - r];
    }

};

class UnionFind
{
public:
    vector<int> par;
    vector<int> sz;

    UnionFind(int N){
        par = vector<int>(N);
        REP(i, N) par[i] = i;
        sz = vector<int>(N, 1);
    }

    int find(int x){
        if(par[x] == x) return x;
        else return par[x] = find(par[x]);
    }

    void unite(int x, int y){
        x = find(x);
        y = find(y);
        if(x == y) return;

        if(sz[x] < sz[y]) swap(x, y);

        par[y] = x;
        sz[x] += sz[y];
    }

    bool is_union(int x, int y){
        x = find(x);
        y = find(y);
        return x == y;
    }

    int union_size(int x){
        return sz[find(x)];
    }

};

struct edge { int to, cap, rev; };

class Graph
{
public:
    int N;
    vector<vector<edge>> G;
    vec level, iter;

    Graph(int N): N(N){
        G = vector<vector<edge>>(N, vector<edge>(0));
        level = vec(N);
        iter = vec(N);
    }

    void add_edge(int from, int to, int cap){
        G[from].push_back((edge){to, cap, G[to].size()});
        G[to].push_back((edge){from, 0, G[from].size() - 1});
    }

    void bfs(int s){
        memset(&level[0], -1, sizeof(level[0]) * level.size());
        queue<int> que;
        level[s] = 0;
        que.push(s);
        while(!que.empty()){
            int v = que.front(); que.pop();
            REP(i, G[v].size()){
                edge &e = G[v][i];
                if(e.cap > 0 && level[e.to] < 0){
                    level[e.to] = level[v] + 1;
                    que.push(e.to);
                }
            }
        }
    }

    int dfs(int v, int t, int f){
        if(v == t) return f;
        for(int &i = iter[v]; i < G[v].size(); i++){
            edge &e = G[v][i];
            if(e.cap > 0 && level[v] < level[e.to]){
                int d = dfs(e.to, t, min(f, e.cap));
                if(d > 0){
                    e.cap -= d;
                    G[e.to][e.rev].cap += d;
                    return d;
                }
            }
        }
        return 0;
    }

    int max_flow(int s, int t){
        int flow = 0;
        for(;;){
            bfs(s);
            if(level[t] < 0) return flow;
            memset(&iter[0], 0, sizeof(iter[0]) * iter.size());
            int f;
            while((f = dfs(s, t, INF)) > 0) flow += f;
        }
    }

};

int extgcd(int a, int b, int &x, int &y){
    int d = a;
    if(b != 0){
        d = extgcd(b, a % b, y, x);
        y -= (a / b) * x;
    }else{
        x = 1;
        y = 0;
    }
    return d;
}

mint calcnum(int N, int K){
    mint a = pow((mint)K, N);
    int x, y;
    FOR(i, 1, N){
        int g = extgcd(i, N, x, y);
        a += pow((mint)K, g);
    }
    return a / (mint)N;
}

signed main(){

    int N, M, K; cin >> N >> M >> K;
    vec a(M), b(M);
    mat m(N, vec(N, -1));
    REP(i, M){
        cin >> a[i] >> b[i];
        a[i]--; b[i]--;
        m[a[i]][b[i]] = i;
        m[b[i]][a[i]] = i;
    }
    UnionFind UF(M);
    REP(i, N) REP(j, N) REP(k, j){
        if(m[i][j] != -1 && m[i][k] != -1){
            Graph G(N);
            REP(l, M) if(a[l] != i && b[l] != i){
                G.add_edge(a[l], b[l], 1);
                G.add_edge(b[l], a[l], 1);
            }
            int f = G.max_flow(j, k);
            if(f > 0) UF.unite(m[i][j], m[i][k]);
        }
    }

    Combination C(K + M);
    mint ans = 1;
    REP(i, M) if(UF.find(i) == i){
        int sz = 0;
        set<int> s;
        REP(j, M) if(UF.find(j) == i){
            sz++;
            s.insert(a[j]);
            s.insert(b[j]);
        }
        if(s.size() == sz) ans *= calcnum(sz, K);
        else ans *= C.nCr(sz + K - 1, K - 1);
    }
    Out(ans);

    return 0;
}


Measured memory_bytes: 256