Elliptic curve isogeny class with LMFDB label 4864.k (Cremona label 4864n)

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

Elliptic curves in class 4864.k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
4864.k1	4864n1	\([0, 1, 0, 1, 5]\)	\(64/19\)	\(-9728\)	\([]\)	\(256\)	\(-0.55561\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 4864.k1 has rank \(1\).

Complex multiplication

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

Modular form 4864.2.a.k