#include <bits/stdc++.h>
#define ADD(a, b) a = (a + ll(b)) % mod
#define MUL(a, b) a = (a * ll(b)) % mod
#define MAX(a, b) a = max(a, b)
#define MIN(a, b) a = min(a, b)
#define rep(i, a, b) for(int i = int(a); i < int(b); i++)
#define rer(i, a, b) for(int i = int(a) - 1; i >= int(b); i--)
#define all(a) (a).begin(), (a).end()
#define sz(v) (int)(v).size()
#define pb push_back
#define sec second
#define fst first
#define debug(fmt, ...) Debug(__LINE__, ":", fmt, ##__VA_ARGS__)
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef pair<int, int> pi;
typedef pair<ll, ll> pl;
typedef pair<int, pi> ppi;
typedef vector<int> vi;
typedef vector<ll> vl;
typedef vector<vl> mat;
typedef complex<double> comp;
void Debug() {cerr << '\n'; }
template<class FIRST, class... REST>void Debug(FIRST arg, REST... rest){
	cerr<<arg<<" ";Debug(rest...);}
template<class T>ostream& operator<<(ostream& out,const vector<T>& v) {
	out<<"[";if(!v.empty()){rep(i,0,sz(v)-1)out<<v[i]<<", ";out<<v.back();}out<<"]";return out;}
template<class S, class T>ostream& operator<<(ostream& out,const pair<S, T>& v){
	out<<"("<<v.first<<", "<<v.second<<")";return out;}
const int MAX_N = 500010;
const int MAX_V = 100010;
const double eps = 1e-6;
const ll mod = 1000000007;
const int inf = (1 << 30) - 1;
const ll linf = 1LL << 60;
const double PI = 3.14159265358979323846;
mt19937 rng; //use it by rng() % mod, shuffle(all(vec), rng)
///////////////////////////////////////////////////////////////////////////////////////////////////

ll fac[MAX_N], inv[MAX_N], fiv[MAX_N]; //fiv:inv(fac(i))

ll mod_pow(ll a, ll n) {
	if(n == 0) return 1;
	ll res = mod_pow(a, n / 2);
	if(n % 2 == 0) return res * res % mod;
	else return a * res % mod * res % mod;
}

ll invf(ll a) {
	return mod_pow(a, mod - 2);
}


void C_init(int n) {
	fac[0] = fac[1] = 1; inv[1] = 1;
	fiv[0] = fiv[1] = 1;
	rep(i, 2, n + 1) {
		fac[i] = fac[i - 1] * i % mod;
		inv[i] = mod - inv[mod % i] * (mod / i) % mod;
		fiv[i] = fiv[i - 1] * inv[i] % mod;
	}
}

ll Comb(int a, int b) { //assume a >= b
	if(a < b || a < 0 || b < 0) return 0;
	return fac[a] * fiv[b] % mod * fiv[a - b] % mod;
}


int N, M, K;
int E[110][110];
int R[110][110];
int A[110], B[110];
int C[110], D[110];// num of vertex and num of edges in it
int used[110];
ll dp[MAX_N];

void loop(int u, int no) {
	used[u] = 1;
	if(no == u) return;
	rep(n, 0, N) {
		if(!E[u][n]) continue;
		if(!used[n]) loop(n, no);
	}
}


void solve() {
	cin >> N >> M >> K;
	C_init(N + K + M);
	rep(i, 0, M) {
		int a, b; cin >> a >> b; a--; b--;
		A[i] = a;
		B[i] = b;
		E[a][b] = 1;
		E[b][a] = 1;
	}
	rep(i, 0, N) {
		int G[110];
		rep(j, 0, N) G[j] = 1;
		rep(j, 0, N) {
			if(i == j) continue;
			memset(used, 0, sizeof(used));
			loop(i, j);
			rep(k, 0, N) {
				G[k] &= used[k];
			}
			// debug(i, j, vi(G, G + N));
		}
		rep(j, 0, N) {
			R[i][j] = G[j];
		}
	}
	set<vi> S;
	rep(i, 0, N) {
		rep(j, i + 1, N) {
			if(R[i][j]) {
				vi vec;
				vec.pb(i); vec.pb(j);
				rep(k, 0, N) {
					if(i == k || j == k) continue;
					if(R[i][k] && R[j][k]) {
						vec.pb(k);
					}
				}
				sort(all(vec));
				S.insert(vec);
			}
		}
	}
	int L = 0;
	for(auto vec: S) {
		C[L] = sz(vec);
		rep(i, 0, M) {
			if(count(all(vec), A[i]) && count(all(vec), B[i])) {
				D[L]++;
			}
		}
		// debug(L, C[L], D[L]);
		L++;
	}
	ll ans = 1;
	rep(i, 0, L) {
		if(C[i] != D[i]) {
			MUL(ans, Comb(D[i] + K - 1, K - 1));
		}
		else {
			fill(dp, dp + C[i] + 1, 0);
			rer(j, C[i] + 1, 1) {
				if(C[i] % j) continue;
				dp[j] = mod_pow(K, C[i] / j);
				for(int k = j * 2; k <= C[i]; k += j) {
					ADD(dp[j], mod - dp[k]);
				}
			}
			ll coef = 0;
			rep(j, 1, C[i] + 1) {
				ADD(coef, dp[j] * inv[C[i] / j] % mod);
			}
			MUL(ans, coef);
		}
	}
	cout << ans << "\n";
}

uint32_t rd() {
	uint32_t res;
#ifdef __MINGW32__
	asm volatile("rdrand %0" :"=a"(res) ::"cc");
#else
	res = std::random_device()();
#endif
	return res;
}

int main() {
#ifndef LOCAL
	ios::sync_with_stdio(false);
    cin.tie(0);
#endif
    cout << fixed;
	cout.precision(20);
    cerr << fixed;
	cerr.precision(6);
	rng.seed(rd());
#ifdef LOCAL
	//freopen("in.txt", "wt", stdout); //for tester
	if(!freopen("in.txt", "rt", stdin)) return 1;
#endif	
	solve();
    cerr << "Time: " << 1.0 * clock() / CLOCKS_PER_SEC << " s.\n";
	return 0;
}



Measured memory_bytes: 6528