Elliptic curve isogeny class with LMFDB label 117117.d (Cremona label 117117c)

• Label: 117117.d
• Number of curves: $1$
• Conductor: $117117$
• CM: no
• Rank: $2$

Elliptic curves in class 117117.d

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
117117.d1	117117c1	\([0, 0, 1, 39, 42]\)	\(110592/77\)	\(-4567563\)	\([]\)	\(33408\)	\(-0.033583\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 117117.d1 has rank \(2\).

Complex multiplication

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

Modular form 117117.2.a.d