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

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

Elliptic curves in class 257600ek

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
257600.ek1	257600ek1	\([0, 1, 0, -1540833, 1772110463]\)	\(-158034076225/438790688\)	\(-1123304161280000000000\)	\([]\)	\(9216000\)	\(2.7265\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 257600ek1 has rank \(1\).

Complex multiplication

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

Modular form 257600.2.a.ek