Elliptic curve isogeny class with LMFDB label 257400.c (Cremona label 257400c)

• Label: 257400.c
• Number of curves: $1$
• Conductor: $257400$
• CM: no
• Rank: $1$

Elliptic curves in class 257400.c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
257400.c1	257400c1	\([0, 0, 0, -29248275, -60907927525]\)	\(-379574436601074131200/177423879009663\)	\(-1293420077980443270000\)	\([]\)	\(22235136\)	\(3.0070\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 257400.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 257400.c do not have complex multiplication.

Modular form 257400.2.a.c