Elliptic curve isogeny class with Cremona label 117117x (LMFDB label 117117.a)

• Label: 117117x
• Number of curves: $1$
• Conductor: $117117$
• CM: no
• Rank: $0$

Elliptic curves in class 117117x

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
117117.a1	117117x1	\([0, 0, 1, -573417, -124347454]\)	\(35063967744/9058973\)	\(5387078598494149557\)	\([]\)	\(4472832\)	\(2.3034\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 117117x1 has rank \(0\).

Complex multiplication

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

Modular form 117117.2.a.x