Elliptic curve isogeny class with Cremona label 123b (LMFDB label 123.b)

• Label: 123b
• Number of curves: $1$
• Conductor: $123$
• CM: no
• Rank: $1$

Elliptic curves in class 123b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
123.b1	123b1	\([0, -1, 1, 1, -1]\)	\(32768/123\)	\(-123\)	\([]\)	\(4\)	\(-0.91616\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 123b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 123b do not have complex multiplication.

Modular form 123.2.a.b