Elliptic curve isogeny class with Cremona label 257600gc (LMFDB label 257600.gc)

• Label: 257600gc
• Number of curves: $1$
• Conductor: $257600$
• CM: no
• Rank: $1$

Elliptic curves in class 257600gc

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
257600.gc1	257600gc1	\([0, 0, 0, 2442500, 37215701000]\)	\(100718081964000000/37453512751940327\)	\(-599256204031045232000000\)	\([]\)	\(56401920\)	\(3.2416\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 257600gc1 has rank \(1\).

Complex multiplication

The elliptic curves in class 257600gc do not have complex multiplication.

Modular form 257600.2.a.gc