/**
 * code generated by JHelper
 * More info: https://github.com/AlexeyDmitriev/JHelper
 * @author majk
 */

#ifndef MAJK_LIB
#define MAJK_LIB

#include <vector>
#include <stack>
#include <iostream>
#include <unordered_map>
#include <unordered_set>
#include <map>
#include <iomanip>
#include <set>
#include <functional>
#include <fstream>
#include <algorithm>
#include <cassert>
#include <cmath>
#include <string>
#include <sstream>
#include <queue>
#include <bitset>
using namespace std;

#define x first
#define y second
typedef std::pair<int,int> pii; typedef long long ll; typedef unsigned long long ull; typedef unsigned int ui; typedef pair<ui,ui> puu;

template <typename T, typename U> std::istream&operator>>(std::istream&i, pair<T,U>&p) {i >> p.x >> p.y; return i;}
template<typename T>std::istream&operator>>(std::istream&i,vector<T>&t) {for(auto&v:t){i>>v;}return i;}
template <typename T, typename U> std::ostream&operator<<(std::ostream&o, const pair<T,U>&p) {o << p.x << ' ' << p.y; return o;}
template<typename T>std::ostream&operator<<(std::ostream&o,const vector<T>&t) {if(t.empty())o<<'\n';for(size_t i=0;i<t.size();++i){o<<t[i]<<" \n"[i == t.size()-1];}return o;}
template<typename T> using minheap = priority_queue<T, vector<T>, greater<T>>;
template<typename T> using maxheap = priority_queue<T, vector<T>, less<T>>;
template <typename T> bool in(T a, T b, T c) { return a <= b && b < c; }
ui logceil(int x) { return 8*sizeof(int)-__builtin_clz(x); }

namespace std {
    template<typename T,typename U>struct hash<pair<T,U>>{hash<T>t;hash<U>u;size_t operator()(const pair<T,U>&p)const{return t(p.x)^(u(p.y)<<7);}};
}
template<typename T,typename F>T bsh(T l,T h,const F&f){T r=-1,m;while(l<=h){m=(l+h)/2;if(f(m)){l=m+1;r=m;}else{h=m-1;}}return r;}
template<typename F> double bshd(double l,double h,const F&f,double p=1e-9){ui r=3+(ui)log2((h-l)/p);while(r--){double m=(l+h)/2;if(f(m)){l=m;}else{h=m;}}return (l+h)/2;}
template<typename T,typename F>T bsl(T l,T h,const F&f){T r=-1,m;while(l<=h){m=(l+h)/2;if(f(m)){h=m-1;r=m;}else{l=m+1;}}return r;}
template<typename F> double bsld(double l,double h,const F&f,double p=1e-9){ui r=3+(ui)log2((h-l)/p);while(r--){double m=(l+h)/2;if(f(m)){h=m;}else{l=m;}}return (l+h)/2;}
template<typename T> T gcd(T a,T b) { if (a<b) swap(a,b); return b?gcd(b,a%b):a; }

template<typename T>class vector2:public vector<vector<T>>{public:vector2(){} vector2(size_t a,size_t b,T t=T()):vector<vector<T>>(a,vector<T>(b,t)){}};
template<typename T>class vector3:public vector<vector2<T>>{public:vector3(){} vector3(size_t a,size_t b,size_t c,T t=T()):vector<vector2<T>>(a,vector2<T>(b,c,t)){}};
template<typename T>class vector4:public vector<vector3<T>>{public:vector4(){} vector4(size_t a,size_t b,size_t c,size_t d,T t=T()):vector<vector3<T>>(a,vector3<T>(b,c,d,t)){}};
template<typename T>class vector5:public vector<vector4<T>>{public:vector5(){} vector5(size_t a,size_t b,size_t c,size_t d,size_t e,T t=T()):vector<vector4<T>>(a,vector4<T>(b,c,d,e,t)){}};
template <typename T> struct bounded_priority_queue {
	inline bounded_priority_queue(ui X) : A(X), B(0), s(0) {}
	inline void push(ui L, T V) { B = max(B, L); A[L].push(V); ++s; }
	inline const T &top() const { return A[B].front(); }
	inline void pop() { --s; A[B].pop(); while (B > 0 && A[B].empty()) --B; }
	inline bool empty() const { return A[B].empty(); }
	inline void clear() { s = B = 0; for (auto &a: A) a = queue<T>(); }
	inline ui size() const { return s; }
private:
	vector<queue<T>> A; ui B; int s;
};


#endif
#ifndef MOD_H
#define MOD_H



template <unsigned int N> class Field {
    typedef unsigned int ui;
    typedef unsigned long long ull;
	inline ui pow(ui a, ui p){ui r=1,e=a;while(p){if(p&1){r=((ull)r*e)%N;}e=((ull)e*e)%N;p>>=1;}return r;}
	/*extended GCD(slow):ll t=0,nt=1,r=N,nr=a;while(nr){ll q=r/nr;t-=q*nt;swap(t,nt);r-=q*nr;swap(r,nr);}assert(r<=1);return(t<0)?t+N:t;*/
	inline ui inv(ui a){return pow(a,N-2);}
public:
    inline Field(int x = 0) : v(x) {}
	inline Field<N> pow(int p){return (*this)^p; }
	inline Field<N> operator^(int p){return {(int)pow(v,(ui)p)};}
    inline Field<N>&operator+=(const Field<N>&o) {if ((ll)v+o.v >= N) v += o.v - N; else v += o.v; return *this; }
    inline Field<N>&operator-=(const Field<N>&o) {if (v<o.v) v -= o.v-N; else v-=o.v; return *this; }
    inline Field<N>&operator*=(const Field<N>&o) {v=(ull)v*o.v % N; return *this; }
    inline Field<N>&operator/=(const Field<N>&o) { return *this*=inv(o.v); }
    inline Field<N> operator+(const Field<N>&o) const {Field<N>r{*this};return r+=o;}
    inline Field<N> operator-(const Field<N>&o) const {Field<N>r{*this};return r-=o;}
    inline Field<N> operator*(const Field<N>&o) const {Field<N>r{*this};return r*=o;}
    inline Field<N> operator/(const Field<N>&o) const {Field<N>r{*this};return r/=o;}
    inline Field<N> operator-() {if(v) return {(int)(N-v)}; else return {0};};
    inline Field<N>& operator++() { ++v; if (v==N) v=0; return *this; }
    inline Field<N> operator++(int) { Field<N>r{*this}; ++*this; return r; }
    inline Field<N>& operator--() { --v; if (v==-1) v=N-1; return *this; }
    inline Field<N> operator--(int) { Field<N>r{*this}; --*this; return r; }
    inline bool operator==(const Field<N>&o) const { return o.v==v; }
	inline bool operator!=(const Field<N>&o) const { return o.v!=v; }
	inline explicit operator ui() const { return v; }
	inline static vector<Field<N>>fact(int t){vector<Field<N>>F(t+1,1);for(int i=2;i<=t;++i){F[i]=F[i-1]*i;}return F;}
	inline static vector<Field<N>>invfact(int t){vector<Field<N>>F(t+1,1);Field<N> X{1};for(int i=2;i<=t;++i){X=X*i;}F[t]=1/X;for(int i=t-1;i>=2;--i){F[i]=F[i+1]*(i+1);}return F;}
private: ui v;
};
template<unsigned int N>istream &operator>>(std::istream&is,Field<N>&f){unsigned int v;is>>v;f=v;return is;}
template<unsigned int N>ostream &operator<<(std::ostream&os,const Field<N>&f){return os<<(unsigned int)f;}
template<unsigned int N>Field<N> operator+(int i,const Field<N>&f){return Field<N>(i)+f;}
template<unsigned int N>Field<N> operator-(int i,const Field<N>&f){return Field<N>(i)-f;}
template<unsigned int N>Field<N> operator*(int i,const Field<N>&f){return Field<N>(i)*f;}
template<unsigned int N>Field<N> operator/(int i,const Field<N>&f){return Field<N>(i)/f;}


typedef Field<1000000007> FieldMod;

struct Ring {
	static int div(int p, int q, int N) {
		ll t=0,nt=1,r=N,nr=q;
		while(nr){ ll q=r/nr;t-=q*nt;r-=q*nr;swap(t,nt);swap(r,nr); }
		t=(t<0)?t+N:t;
		r=(r<0)?r+N:r;
		if (gcd(p,N)%r) { return 0; }
		return (int)(((ll)t*(ll)p/r)%N);
	}
};
#endif



struct 	UnionFind {
	UnionFind(size_t N) : P(N, -1), comp(N) {}
	int find(int x) { while (P[x]>=0){x = P[x];}return x; }
	bool united(int x, int y) { return find(x) == find(y); }
	bool unite(int x, int y) { x=find(x);y=find(y);if(x==y){return false;}--comp;if(P[x]>P[y]){swap(x,y);}P[x]+=P[y];P[y]=x;return true;}
	vector<int> P;
	size_t comp;
};

/** Product of two 64-bit numbers modulo another. */
ull mulull(ull a, ull z, ull mod) {
#ifdef __SIZEOF_INT128__
	__int128 result = ((__int128) a * (__int128) z) % (__int128) mod;
	return (ull) result;
#else
    // schrage method
	ull q = mod / a, r = mod % a;
	ull rzq = (r < q) ? r * (z/q) : mulull(r, z/q, mod);
	ull azq = a * (z % q);
	if (azq >= rzq) return azq-rzq; else return azq-rzq+mod;
#endif
}

/** Multiply two 64-bit unsigned integers to get a 128-bit unsigned integer (as a pair of ull) */
pair<ull,ull> mulull(ull a, ull b) {
#ifdef __SIZEOF_INT128__
	__int128 result = (__int128) a * (__int128) b;
	return {(ull) (result >> 64), (ull) result};
#else
	ull c = (ui)a, d = a>>32, e = (ui)b, f = b>>32, g = d*f, h = d*e, i = f*c, j = c*e, k = (j>>32)+(ui)h+(ui)i, l = g+(h>>32)+(i>>32)+(k>>32);
	return {l, ((h+i) << 32) + j};
#endif
}

bool fractionGreaterOrEqual(ll a, ll b, ll c, ll d) {
	if (b < 0) { b = -b; a = -a; }
	if (d < 0) { d = -d; c = -c; }
	return a < 0 && c < 0 ? mulull(-a, d) <= mulull(-c, b) : (a >= 0) && (c < 0 || mulull(a, d) >= mulull(c, b));
}

bool fractionGreaterOrEqual(double a, double b, double c, double d) {
	return a/b >= c/d;
}

// this is based on modulus, but it's 2-3 times slower than the former
//bool fractionGreaterOrEqual(ll a, ll b, ll c, ll d) {
//	if (a<0 && c<0) return greaterOrEqual(-c,d,-a,b);
//	if (a<0) return false;
//	if (c<0) return true;
//	if (b==0) return true;
//	if (d==0) return false;
//	ll ab = a/b, cd = c/d;
//	if (ab > cd) return true;
//	if (ab < cd) return false;
//	return !greaterOrEqual(b, a%b, d, c%d);
//}


/** Computing lower and upper envelope. Useful for "convex hull trick". */
namespace Envelope {
	template<typename T>
	struct Line {
		T m, b;
		mutable function<const Line<T> *()> succ;

		bool operator<(const Line &rhs) const {
			if (rhs.b != numeric_limits<T>::min()) return m < rhs.m;
			const Line *s = succ();
			if (!s) return 0;
			return b - s->b < (s->m - m) * rhs.m;
		}
	};

	template<typename T>
	struct Upper : public multiset<Envelope::Line<T>> {
		using parent = multiset<Line<T>>;

		bool bad(typename parent::iterator y) {
			auto z = next(y);
			if (y == parent::begin()) {
				return z != parent::end() && y->m == z->m && y->b <= z->b;
			} else {
				auto x = prev(y);
				if (z == parent::end()) {
					return y->m == x->m && y->b <= x->b;
				} else {
					return fractionGreaterOrEqual(x->b - y->b, y->m - x->m, y->b - z->b, z->m - y->m);
				}
			}
		}

		void insert_line(T m, T b) {
			auto y = parent::insert({m, b});
			y->succ = [=] { return next(y) == parent::end() ? 0 : &*next(y); };
			if (bad(y)) { parent::erase(y); return; }
			while (next(y) != parent::end() && bad(next(y))) parent::erase(next(y));
			while (y != parent::begin() && bad(prev(y))) parent::erase(prev(y));
		}

		T operator[](T x) const {
			auto l = parent::lower_bound({x, numeric_limits<T>::min()});
			return l == parent::end() ? numeric_limits<T>::min() : l->m * x + l->b;
		}
	};

	template<typename T>
	struct Lower : public Upper<T> {
		void insert_line(T m, T b) { Upper<T>::insert_line(-m, -b); }
		T operator[](T x) const { return -Upper<T>::operator[](x); }
	};
}

class E {
public:
    void solve(istream& cin, ostream& cout) {
        int N, M; cin >> N >> M;
        if (N < 3) {
            cout << 0 << endl;
            return;
        }
        ll X; cin >> X;
        vector<pair<int,pii>> E(M);
        for (int i = 0; i < M; ++i) {
            int u, v, w; cin >> u >> v >> w;
            --u; --v;
            E[i] = {w, {u,v}};
        }
        sort(E.begin(),E.end());
        int higher = 0;
        int exact = 0;
        int lower = 0;
        for (int i = 0; i < M; ++i) {
            UnionFind U(N);
            ll cost = E[i].x;
            U.unite(E[i].y.x, E[i].y.y);
            for (int j = 0; j < M; ++j) {
                if (U.unite(E[j].y.x, E[j].y.y)) {
                    cost += E[j].x;
                }
            }

            higher += cost > X;
            exact += cost == X;
            lower += cost < X;
        }

//        cerr << lower << ' ' << exact << ' ' << higher << endl;

        FieldMod h = FieldMod{2}.pow(higher);

        if (exact == 0) {
            cout << 0 << endl;
        } else {
            cout << (FieldMod{2}.pow(exact) - 1 - (lower==0)) * (2-(lower==0)) * h << endl;
        }
    }
};


int main() {
	ios_base::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr);
	E solver;
	std::istream& in(std::cin);
	std::ostream& out(std::cout);
	solver.solve(in, out);
    return 0;
}


Measured memory_bytes: 256