Elliptic curve isogeny class with LMFDB label 4008.b (Cremona label 4008c)

• Label: 4008.b
• Number of curves: $1$
• Conductor: $4008$
• CM: no
• Rank: $1$

Elliptic curves in class 4008.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
4008.b1	4008c1	\([0, 1, 0, -296, -2064]\)	\(-1405190738/1503\)	\(-3078144\)	\([]\)	\(576\)	\(0.16131\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 4008.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 4008.b do not have complex multiplication.

Modular form 4008.2.a.b