Elliptic curve isogeny class with LMFDB label 6288.k (Cremona label 6288k)

• Label: 6288.k
• Number of curves: $1$
• Conductor: $6288$
• CM: no
• Rank: $1$

Elliptic curves in class 6288.k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
6288.k1	6288k1	\([0, 1, 0, -13776, -620652]\)	\(70593496254289/824180736\)	\(3375844294656\)	\([]\)	\(12096\)	\(1.2163\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 6288.k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 6288.k do not have complex multiplication.

Modular form 6288.2.a.k