Elliptic curve isogeny class with Cremona label 61710a (LMFDB label 61710.g)

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

Elliptic curves in class 61710a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
61710.g1	61710a1	\([1, 1, 0, 42, 161748]\)	\(5929741/8489664000\)	\(-11299742784000\)	\([]\)	\(171072\)	\(1.1835\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 61710a1 has rank \(1\).

Complex multiplication

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

Modular form 61710.2.a.a