Elliptic curve isogeny class with LMFDB label 4864.c (Cremona label 4864j)

• Label: 4864.c
• Number of curves: $1$
• Conductor: $4864$
• CM: no
• Rank: $2$

Elliptic curves in class 4864.c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
4864.c1	4864j1	\([0, -1, 0, 1, -5]\)	\(64/19\)	\(-9728\)	\([]\)	\(256\)	\(-0.55561\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 4864.c1 has rank \(2\).

Complex multiplication

The elliptic curves in class 4864.c do not have complex multiplication.

Modular form 4864.2.a.c