/+ dub.sdl:
    name "D"
    dependency "dunkelheit" version=">=0.9.0"
+/

import std.stdio, std.algorithm, std.range, std.conv, std.string, std.math;
import core.stdc.stdio;
// foreach, foreach_reverse, writeln

struct Edge {
	int u, v, w;
};

// import dkh.datastructure.unionfind;
// import dkh.modint;
alias Mint = ModInt!(1000000007);


struct Solver {
	struct Edge2 { int v, w;}
	Edge2[][] g;

	int dfs(int v, int d, int p=-1) {
		if (v == d) return 0;
		int ret = -1;
		foreach (e; g[v]) {
			if (e.v == p) continue;
			int val = dfs(e.v,d,v);
			if (val != -1) {
				ret = max(val, e.w);
			}
		}
		return ret;
	}

	Mint solve(Edge[] edges, long x) {
		int n = to!int(edges.length);
		g = new Edge2[][n];
		auto uf = UnionFind(n);
		long mst = 0;
		Edge[] arc;
		foreach (e; edges) {
			if (uf.id[e.u] == uf.id[e.v]) continue;
			mst += e.w;
			uf.merge(e.u, e.v);
			g[e.u] ~= Edge2(e.v,e.w);
			g[e.v] ~= Edge2(e.u,e.w);
		}
		int cnt = 0;
		foreach (e; edges) {
			if (mst+(e.w-dfs(e.u,e.v)) <= x) cnt++;
		}
		Mint ret = cnt?2:1;
		foreach (i; cnt..n) ret *= Mint(2);
		return ret;
	}
}

Mint solve(Edge[] edges, long x) {
	Solver s;
	return s.solve(edges, x);
}

void main() {
	int n, m;
	scanf("%d%d", &n, &m);
	long x;
	scanf("%ld", &x);

	Edge[] edges = new Edge[m];
	foreach (i; 0..m) {
		int u, v, w;
		scanf("%d%d%d", &u, &v, &w);
		u--;
		v--;
		edges[i] = Edge(u,v,w);
	}
	sort!("a.w < b.w")(edges);

	Mint ans = solve(edges, x-1) - solve(edges, x);
	writeln(ans);
}

 

// module dkh.int128;

version(LDC) {
//     import dkh.ldc.inline;
}

version(LDC) version(X86_64) {
    version = LDC_IR;
}

 
ulong[2] mul128(ulong a, ulong b) {
    ulong[2] res;
    version(LDC_IR) {
        ulong upper, lower;
        inlineIR!(`
            %r0 = zext i64 %0 to i128 
            %r1 = zext i64 %1 to i128
            %r2 = mul i128 %r1, %r0
            %r3 = trunc i128 %r2 to i64
            %r4 = lshr i128 %r2, 64
            %r5 = trunc i128 %r4 to i64
            store i64 %r3, i64* %2
            store i64 %r5, i64* %3`, void)(a, b, &lower, &upper);
        return [lower, upper];
    } else version(D_InlineAsm_X86_64) {
        ulong upper, lower;
        asm {
            mov RAX, a;
            mul b;
            mov lower, RAX;
            mov upper, RDX;
        }
        return [lower, upper];
    } else {
        ulong B = 2UL^^32;
        ulong[2] a2 = [a % B, a / B];
        ulong[2] b2 = [b % B, b / B];
        ulong[4] c;
        foreach (i; 0..2) {
            foreach (j; 0..2) {
                c[i+j] += a2[i] * b2[j] % B;
                c[i+j+1] += a2[i] * b2[j] / B;
            }
        }
        foreach (i; 0..3) {
            c[i+1] += c[i] / B;
            c[i] %= B;
        }
        return [c[0] + c[1] * B, c[2] + c[3] * B];
    }
}

 

 
ulong div128(ulong[2] a, ulong b) {
    version(LDC_IR) {
        return inlineIR!(`
            %r0 = zext i64 %0 to i128
            %r1 = zext i64 %1 to i128
            %r2 = shl i128 %r1, 64
            %r3 = add i128 %r0, %r2
            %r4 = zext i64 %2 to i128
            %r5 = udiv i128 %r3, %r4
            %r6 = trunc i128 %r5 to i64
            ret i64 %r6`,ulong)(a[0], a[1], b);
    } else version(D_InlineAsm_X86_64) {
        ulong upper = a[1], lower = a[0];
        ulong res;
        asm {
            mov RDX, upper;
            mov RAX, lower;
            div b;
            mov res, RAX;
        }
        return res;
    } else {
        if (b == 1) return a[0];
        while (!(b & (1UL << 63))) {
            a[1] <<= 1;
            if (a[0] & (1UL << 63)) a[1] |= 1;
            a[0] <<= 1;
            b <<= 1;
        }
        ulong ans = 0;
        foreach (i; 0..64) {
            bool up = (a[1] & (1UL << 63)) != 0;
            a[1] <<= 1;
            if (a[0] & (1UL << 63)) a[1] |= 1;
            a[0] <<= 1;

            ans <<= 1;
            if (up || b <= a[1]) {
                a[1] -= b;
                ans++;
            }
        }
        return ans;
    }
}


 
ulong mod128(ulong[2] a, ulong b) {
    version(D_InlineAsm_X86_64) {
        ulong upper = a[1], lower = a[0];
        ulong res;
        asm {
            mov RDX, upper;
            mov RAX, lower;
            div b;
            mov res, RDX;
        }
        return res;
    } else {
        return a[0] - div128(a, b) * b;
    }
}

 
// module dkh.ldc.inline;

version(LDC) {
    pragma(LDC_inline_ir) R inlineIR(string s, R, P...)(P);
}
// module dkh.modint;

// import dkh.numeric.primitive;

 
struct ModInt(uint MD) if (MD < int.max) {
    import std.conv : to;
    uint v;
    this(int v) {this(long(v));}
    this(long v) {this.v = (v%MD+MD)%MD;}
    static auto normS(uint x) {return (x<MD)?x:x-MD;}
    static auto make(uint x) {ModInt m; m.v = x; return m;}
     
    auto opBinary(string op:"+")(ModInt r) const {return make(normS(v+r.v));}
     
    auto opBinary(string op:"-")(ModInt r) const {return make(normS(v+MD-r.v));}
     
    auto opBinary(string op:"*")(ModInt r) const {return make((ulong(v)*r.v%MD).to!uint);}
     
    auto opBinary(string op:"/")(ModInt r) const {return this*inv(r);}
    auto opOpAssign(string op)(ModInt r) {return mixin ("this=this"~op~"r");}
     
    static ModInt inv(ModInt x) {return ModInt(extGcd!int(x.v, MD)[0]);}
    string toString() const {return v.to!string;}
}

 
 

 

 
struct DModInt(string name) {
    import std.conv : to;
    static uint MD;
    uint v;
    this(int v) {this(long(v));}
    this(long v) {this.v = ((v%MD+MD)%MD).to!uint;}
    static auto normS(uint x) {return (x<MD)?x:x-MD;}
    static auto make(uint x) {DModInt m; m.MD = MD; m.v = x; return m;}
     
    auto opBinary(string op:"+")(DModInt r) const {return make(normS(v+r.v));}
     
    auto opBinary(string op:"-")(DModInt r) const {return make(normS(v+MD-r.v));}
     
    auto opBinary(string op:"*")(DModInt r) const {return make((ulong(v)*r.v%MD).to!uint);}
     
    auto opBinary(string op:"/")(DModInt r) const {return this*inv(r);}
    auto opOpAssign(string op)(DModInt r) {return mixin ("this=this"~op~"r");}
     
    static DModInt inv(DModInt x) {
        return DModInt(extGcd!int(x.v, MD)[0]);
    }
    string toString() {return v.to!string;}
}

 
 

 

template isModInt(T) {
    const isModInt =
        is(T : ModInt!MD, uint MD) || is(S : DModInt!S, string s);
}


T[] factTable(T)(size_t length) if (isModInt!T) {
    import std.range : take, recurrence;
    import std.array : array;
    return T(1).recurrence!((a, n) => a[n-1]*T(n)).take(length).array;
}

T[] invFactTable(T)(size_t length) if (isModInt!T) {
    import std.algorithm : map, reduce;
    import std.range : take, recurrence, iota;
    import std.array : array;
    auto res = new T[length];
    res[$-1] = T(1) / iota(1, length).map!T.reduce!"a*b";
    foreach_reverse (i, v; res[0..$-1]) {
        res[i] = res[i+1] * T(i+1);
    }
    return res;
}

T[] invTable(T)(size_t length) if (isModInt!T) {
    auto f = factTable!T(length);
    auto invf = invFactTable!T(length);
    auto res = new T[length];
    foreach (i; 1..length) {
        res[i] = invf[i] * f[i-1];
    }
    return res;
}

 
// module dkh.datastructure.unionfind;

 
struct UnionFind {
    private int[] id;  
    private int[][] groups;  
    size_t count;  
     
    this(size_t n) {
        import std.algorithm : map;
        import std.range : iota, array;
        import std.conv : to;
        int _n = n.to!int;
        id = _n.iota.array;
        groups = _n.iota.map!"[a]".array;
        count = n;
    }
     
    void merge(size_t a, size_t b) {
        import std.algorithm : swap, each;
        if (same(a, b)) return;
        count--;
        uint x = id[a], y = id[b];
        if (groups[x].length < groups[y].length) swap(x, y);
        groups[y].each!(a => id[a] = x);
        groups[x] ~= groups[y];
        groups[y] = [];
    }
     
    const(int[]) group(size_t i) const {
        return groups[id[i]];
    }
     
    bool isLeader(size_t i) const {
        return i == id[i];
    }
     
    bool same(size_t a, size_t b) const {
        return id[a] == id[b];
    }
}

 
 

 
// module dkh.numeric.primitive;

import std.traits;
import std.bigint;

 
Unqual!T pow(T, U)(T x, U n)
if (!isFloatingPoint!T && (isIntegral!U || is(U == BigInt))) {
    return pow(x, n, T(1));
}

 
Unqual!T pow(T, U, V)(T x, U n, V e)
if ((isIntegral!U || is(U == BigInt)) && is(Unqual!T == Unqual!V)) {
    Unqual!T b = x, v = e;
    Unqual!U m = n;
    while (m) {
        if (m & 1) v *= b;
        b *= b;
        m /= 2;
    }
    return v;
}

 

 
T powMod(T, U, V)(T x, U n, V md)
if (isIntegral!U || is(U == BigInt)) {
    T r = T(1);
    while (n) {
        if (n & 1) r = (r*x)%md;
        x = (x*x)%md;
        n >>= 1;
    }
    return r % md;
}

// import dkh.int128;

 
ulong ulongPowMod(U)(ulong x, U n, ulong md)
if (isIntegral!U || is(U == BigInt)) {
    x %= md;
    ulong r = 1;
    while (n) {
        if (n & 1) {
            r = mul128(r, x).mod128(md);
        }
        x = mul128(x, x).mod128(md);
        n >>= 1;
    }
    return r % md;
}

 
T lcm(T)(in T a, in T b) {
    import std.numeric : gcd;
    return a / gcd(a,b) * b;
}

 
 

 
 
T[3] extGcd(T)(in T a, in T b) 
if (!isIntegral!T || isSigned!T)  
{
    if (b==0) {
        return [T(1), T(0), a];
    } else {
        auto e = extGcd(b, a%b);
        return [e[1], e[0]-a/b*e[1], e[2]];
    }
}

 
 

/*
This source code generated by dunkelheit and include dunkelheit's source code.
dunkelheit's Copyright: Copyright (c) 2016- Kohei Morita. (https://github.com/yosupo06/dunkelheit)
dunkelheit's License: MIT License(https://github.com/yosupo06/dunkelheit/blob/master/LICENSE.txt)
*/
