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

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

Elliptic curves in class 258570.ei

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
258570.ei1	258570ei1	\([1, -1, 1, -1102757, -436862019]\)	\(249395415529/5508000\)	\(3275429667414372000\)	\([]\)	\(5990400\)	\(2.3405\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 258570.ei1 has rank \(1\).

Complex multiplication

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

Modular form 258570.2.a.ei