Elliptic curve isogeny class with LMFDB label 8712.q (Cremona label 8712i)

• Label: 8712.q
• Number of curves: $1$
• Conductor: $8712$
• CM: no
• Rank: $1$

Elliptic curves in class 8712.q

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
8712.q1	8712i1	\([0, 0, 0, 2013, 12782]\)	\(9987164/6561\)	\(-592628990976\)	\([]\)	\(6144\)	\(0.94781\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 8712.q1 has rank \(1\).

Complex multiplication

The elliptic curves in class 8712.q do not have complex multiplication.

Modular form 8712.2.a.q