Elliptic curve isogeny class with LMFDB label 73689.b (Cremona label 73689o)

• Label: 73689.b
• Number of curves: $1$
• Conductor: $73689$
• CM: no
• Rank: $1$

Elliptic curves in class 73689.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
73689.b1	73689o1	\([1, 1, 1, -205279, -606246640]\)	\(-36883367257/6098396283\)	\(-158176693777331158083\)	\([]\)	\(1710720\)	\(2.5552\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 73689.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 73689.b do not have complex multiplication.

Modular form 73689.2.a.b