Elliptic curve isogeny class with LMFDB label 61710.e (Cremona label 61710f)

• Label: 61710.e
• Number of curves: $1$
• Conductor: $61710$
• CM: no
• Rank: $1$

Elliptic curves in class 61710.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
61710.e1	61710f1	\([1, 1, 0, -343, -2603]\)	\(-37050799489/163200\)	\(-19747200\)	\([]\)	\(22848\)	\(0.25267\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 61710.e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 61710.e do not have complex multiplication.

Modular form 61710.2.a.e