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

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

Elliptic curves in class 678b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
678.b1	678b1	\([1, 0, 1, 6, -20]\)	\(30080231/195264\)	\(-195264\)	\([]\)	\(72\)	\(-0.30306\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 678b1 has rank \(1\).

Complex multiplication

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

Modular form 678.2.a.b