Elliptic curve isogeny class with LMFDB label 117117.z (Cremona label 117117bi)

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

Elliptic curves in class 117117.z

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
117117.z1	117117bi1	\([0, 0, 1, 3042, -14830]\)	\(884736/539\)	\(-1896602887179\)	\([]\)	\(120960\)	\(1.0451\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 117117.z1 has rank \(1\).

Complex multiplication

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

Modular form 117117.2.a.z