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

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

Elliptic curves in class 257600.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
257600.e1	257600e1	\([0, 0, 0, -3820, -103280]\)	\(-7525300680/1270129\)	\(-1040489676800\)	\([]\)	\(724992\)	\(1.0326\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 257600.e1 has rank \(1\).

Complex multiplication

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

Modular form 257600.2.a.e