Elliptic curve isogeny class with LMFDB label 5577.e (Cremona label 5577a)

• Label: 5577.e
• Number of curves: $1$
• Conductor: $5577$
• CM: no
• Rank: $1$

Elliptic curves in class 5577.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
5577.e1	5577a1	\([0, -1, 1, 113, -102]\)	\(5537792/3267\)	\(-93308787\)	\([]\)	\(1296\)	\(0.21865\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 5577.e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 5577.e do not have complex multiplication.

Modular form 5577.2.a.e