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

• Label: 257400.z
• Number of curves: $1$
• Conductor: $257400$
• CM: no
• Rank: $2$

Elliptic curves in class 257400.z

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
257400.z1	257400z1	\([0, 0, 0, -7417875, -8317341250]\)	\(-154801343130820/12902060457\)	\(-3762240829261200000000\)	\([]\)	\(15206400\)	\(2.8854\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 257400.z1 has rank \(2\).

Complex multiplication

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

Modular form 257400.2.a.z