Elliptic curve isogeny class with LMFDB label 4012.c (Cremona label 4012b)

• Label: 4012.c
• Number of curves: $1$
• Conductor: $4012$
• CM: no
• Rank: $1$

Elliptic curves in class 4012.c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
4012.c1	4012b1	\([0, -1, 0, 3, -26]\)	\(131072/17051\)	\(-272816\)	\([]\)	\(288\)	\(-0.27761\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 4012.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 4012.c do not have complex multiplication.

Modular form 4012.2.a.c