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

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

Elliptic curves in class 257600.dx

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
257600.dx1	257600dx1	\([0, 0, 0, -12620, -545680]\)	\(-67834689570/161\)	\(-527564800\)	\([]\)	\(196608\)	\(0.91529\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 257600.dx1 has rank \(1\).

Complex multiplication

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

Modular form 257600.2.a.dx