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

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

Elliptic curves in class 258570.ck

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
258570.ck1	258570ck1	\([1, -1, 0, -909, 136813]\)	\(-674636521/65025000\)	\(-8011145025000\)	\([]\)	\(506880\)	\(1.1556\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 258570.ck1 has rank \(1\).

Complex multiplication

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

Modular form 258570.2.a.ck