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

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

Elliptic curves in class 684.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
684.b1	684a1	\([0, 0, 0, -192, 1028]\)	\(-4194304/19\)	\(-3545856\)	\([]\)	\(144\)	\(0.10838\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 684.b1 has rank \(1\).

Complex multiplication

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

Modular form 684.2.a.b