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

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

Elliptic curves in class 258570.en

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
258570.en1	258570en1	\([1, -1, 1, 17713, 8338061]\)	\(2146689/106250\)	\(-30421657576293750\)	\([]\)	\(1996800\)	\(1.8426\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 258570.en1 has rank \(1\).

Complex multiplication

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

Modular form 258570.2.a.en