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

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

Elliptic curves in class 257600.ec

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
257600.ec1	257600ec1	\([0, 1, 0, -93633, -11084137]\)	\(-5674076449024/14904575\)	\(-238473200000000\)	\([]\)	\(1032192\)	\(1.6341\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 257600.ec1 has rank \(1\).

Complex multiplication

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

Modular form 257600.2.a.ec