Elliptic curve isogeny class with LMFDB label 257754.b (Cremona label 257754b)

• Label: 257754.b
• Number of curves: $1$
• Conductor: $257754$
• CM: no
• Rank: $2$

Elliptic curves in class 257754.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
257754.b1	257754b1	\([1, 1, 0, 221, 2839]\)	\(3283365167/10930626\)	\(-3945955986\)	\([]\)	\(207360\)	\(0.52443\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 257754.b1 has rank \(2\).

Complex multiplication

The elliptic curves in class 257754.b do not have complex multiplication.

Modular form 257754.2.a.b