Elliptic curve isogeny class with LMFDB label 2040.i (Cremona label 2040n)

• Label: 2040.i
• Number of curves: $1$
• Conductor: $2040$
• CM: no
• Rank: $1$

Elliptic curves in class 2040.i

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
2040.i1	2040n1	\([0, 1, 0, -516, 4869]\)	\(-951468070144/135517455\)	\(-2168279280\)	\([]\)	\(1248\)	\(0.52236\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 2040.i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 2040.i do not have complex multiplication.

Modular form 2040.2.a.i