Elliptic curve isogeny class with LMFDB label 4013.a (Cremona label 4013a)

• Label: 4013.a
• Number of curves: $1$
• Conductor: $4013$
• CM: no
• Rank: $0$

Elliptic curves in class 4013.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
4013.a1	4013a1	\([0, 1, 1, -6, 3]\)	\(28094464/4013\)	\(4013\)	\([]\)	\(430\)	\(-0.58290\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 4013.a1 has rank \(0\).

Complex multiplication

The elliptic curves in class 4013.a do not have complex multiplication.

Modular form 4013.2.a.a