Elliptic curve isogeny class with LMFDB label 2576.a (Cremona label 2576i)

• Label: 2576.a
• Number of curves: $1$
• Conductor: $2576$
• CM: no
• Rank: $1$

Elliptic curves in class 2576.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
2576.a1	2576i1	\([0, 0, 0, -8419, -301667]\)	\(-4124632486295808/70140333767\)	\(-1122245340272\)	\([]\)	\(5376\)	\(1.1107\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 2576.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 2576.a do not have complex multiplication.

Modular form 2576.2.a.a