Elliptic curve isogeny class with Cremona label 112789b (LMFDB label 112789.b)

• Label: 112789b
• Number of curves: $1$
• Conductor: $112789$
• CM: no
• Rank: $1$

Elliptic curves in class 112789b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
112789.b1	112789b1	\([1, 1, 0, -3736, -94407]\)	\(-912673/61\)	\(-385603145989\)	\([]\)	\(157248\)	\(0.97514\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 112789b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 112789b do not have complex multiplication.

Modular form 112789.2.a.b