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

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

Elliptic curves in class 4012.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
4012.b1	4012c1	\([0, 0, 0, -28, -431]\)	\(-151732224/4927739\)	\(-78843824\)	\([]\)	\(2208\)	\(0.19559\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 4012.b1 has rank \(1\).

Complex multiplication

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

Modular form 4012.2.a.b