Elliptic curve isogeny class with LMFDB label 117117.e (Cremona label 117117h)

• Label: 117117.e
• Number of curves: $1$
• Conductor: $117117$
• CM: no
• Rank: $1$

Elliptic curves in class 117117.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
117117.e1	117117h1	\([0, 0, 1, 59319, -2506228]\)	\(110592/77\)	\(-16072083809224443\)	\([]\)	\(1302912\)	\(1.7982\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 117117.e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 117117.e do not have complex multiplication.

Modular form 117117.2.a.e