Elliptic curve isogeny class with LMFDB label 5586.e (Cremona label 5586i)

• Label: 5586.e
• Number of curves: $1$
• Conductor: $5586$
• CM: no
• Rank: $1$

Elliptic curves in class 5586.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
5586.e1	5586i1	\([1, 1, 0, -53, 141]\)	\(-346016041/34656\)	\(-1698144\)	\([]\)	\(960\)	\(-0.064333\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 5586.e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 5586.e do not have complex multiplication.

Modular form 5586.2.a.e