Elliptic curve isogeny class with LMFDB label 5175.e (Cremona label 5175l)

• Label: 5175.e
• Number of curves: $1$
• Conductor: $5175$
• CM: no
• Rank: $1$

Elliptic curves in class 5175.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
5175.e1	5175l1	\([1, -1, 1, -20, -8]\)	\(46305/23\)	\(419175\)	\([]\)	\(384\)	\(-0.22819\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 5175.e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 5175.e do not have complex multiplication.

Modular form 5175.2.a.e