Elliptic curve isogeny class with LMFDB label 2240.i (Cremona label 2240x)

• Label: 2240.i
• Number of curves: $1$
• Conductor: $2240$
• CM: no
• Rank: $1$

Elliptic curves in class 2240.i

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
2240.i1	2240x1	\([0, -1, 0, -75, 277]\)	\(-738763264/875\)	\(-56000\)	\([]\)	\(192\)	\(-0.17735\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 2240.i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 2240.i do not have complex multiplication.

Modular form 2240.2.a.i