Elliptic curve isogeny class with LMFDB label 258570.cn (Cremona label 258570cn)

• Label: 258570.cn
• Number of curves: $1$
• Conductor: $258570$
• CM: no
• Rank: $1$

Elliptic curves in class 258570.cn

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
258570.cn1	258570cn1	\([1, -1, 0, -138492095949, -19837417279668507]\)	\(-83485496408692606522088834521/64803530931750000000\)	\(-228027020156865829311750000000\)	\([]\)	\(1137991680\)	\(4.9407\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 258570.cn1 has rank \(1\).

Complex multiplication

The elliptic curves in class 258570.cn do not have complex multiplication.

Modular form 258570.2.a.cn