Elliptic curve isogeny class with Cremona label 12584c (LMFDB label 12584.g)

• Label: 12584c
• Number of curves: $1$
• Conductor: $12584$
• CM: no
• Rank: $1$

Elliptic curves in class 12584c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
12584.g1	12584c1	\([0, 1, 0, -1976, 34736]\)	\(-235298/13\)	\(-47166040064\)	\([]\)	\(11200\)	\(0.80592\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 12584c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 12584c do not have complex multiplication.

Modular form 12584.2.a.c