Elliptic curve isogeny class with LMFDB label 8640.bs (Cremona label 8640bk)

• Label: 8640.bs
• Number of curves: $1$
• Conductor: $8640$
• CM: no
• Rank: $1$

Elliptic curves in class 8640.bs

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
8640.bs1	8640bk1	\([0, 0, 0, -12, -56]\)	\(-768/5\)	\(-1244160\)	\([]\)	\(768\)	\(-0.14705\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 8640.bs1 has rank \(1\).

Complex multiplication

The elliptic curves in class 8640.bs do not have complex multiplication.

Modular form 8640.2.a.bs