Elliptic curve isogeny class with LMFDB label 8624.c (Cremona label 8624l)

• Label: 8624.c
• Number of curves: $1$
• Conductor: $8624$
• CM: no
• Rank: $1$

Elliptic curves in class 8624.c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
8624.c1	8624l1	\([0, 0, 0, -196, 1372]\)	\(-27648/11\)	\(-331299584\)	\([]\)	\(5760\)	\(0.34374\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 8624.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 8624.c do not have complex multiplication.

Modular form 8624.2.a.c