Elliptic curve isogeny class with LMFDB label 678.a (Cremona label 678a)

• Label: 678.a
• Number of curves: $1$
• Conductor: $678$
• CM: no
• Rank: $1$

Elliptic curves in class 678.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
678.a1	678a1	\([1, 1, 0, -12, 12]\)	\(-217081801/1356\)	\(-1356\)	\([]\)	\(56\)	\(-0.56087\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 678.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 678.a do not have complex multiplication.

Modular form 678.2.a.a