Elliptic curve isogeny class with LMFDB label 59177.a (Cremona label 59177e)

• Label: 59177.a
• Number of curves: $1$
• Conductor: $59177$
• CM: no
• Rank: $1$

Elliptic curves in class 59177.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
59177.a1	59177e1	\([0, 0, 1, -142721, -27777510]\)	\(-7622111232/3491443\)	\(-147270928917133963\)	\([]\)	\(626400\)	\(2.0007\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 59177.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 59177.a do not have complex multiplication.

Modular form 59177.2.a.a