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

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

Elliptic curves in class 8640.p

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
8640.p1	8640bs1	\([0, 0, 0, -108, 1512]\)	\(-768/5\)	\(-906992640\)	\([]\)	\(2304\)	\(0.40226\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 8640.p1 has rank \(1\).

Complex multiplication

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

Modular form 8640.2.a.p