Elliptic curve isogeny class with Cremona label 12138x (LMFDB label 12138.w)

• Label: 12138x
• Number of curves: $1$
• Conductor: $12138$
• CM: no
• Rank: $1$

Elliptic curves in class 12138x

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
12138.w1	12138x1	\([1, 0, 0, 283, -6021]\)	\(103823/714\)	\(-17234224266\)	\([]\)	\(11520\)	\(0.64585\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 12138x1 has rank \(1\).

Complex multiplication

The elliptic curves in class 12138x do not have complex multiplication.

Modular form 12138.2.a.x