Elliptic curve isogeny class with LMFDB label 684.c (Cremona label 684c)

• Label: 684.c
• Number of curves: $1$
• Conductor: $684$
• CM: no
• Rank: $0$

Elliptic curves in class 684.c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
684.c1	684c1	\([0, 0, 0, 24, -268]\)	\(8192/171\)	\(-31912704\)	\([]\)	\(192\)	\(0.12020\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 684.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 684.c do not have complex multiplication.

Modular form 684.2.a.c