Elliptic curve isogeny class with LMFDB label 12696.f (Cremona label 12696m)

• Label: 12696.f
• Number of curves: $1$
• Conductor: $12696$
• CM: no
• Rank: $1$

Elliptic curves in class 12696.f

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
12696.f1	12696m1	\([0, -1, 0, 31, -75]\)	\(23552/27\)	\(-3656448\)	\([]\)	\(1152\)	\(-0.054289\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 12696.f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 12696.f do not have complex multiplication.

Modular form 12696.2.a.f