Elliptic curve isogeny class with Cremona label 489762e (LMFDB label 489762.e)

• Label: 489762e
• Number of curves: $1$
• Conductor: $489762$
• CM: no
• Rank: $1$

Elliptic curves in class 489762e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
489762.e1	489762e1	\([1, -1, 0, 25033854, -113272787692]\)	\(2917645350022143/11008380780544\)	\(-6546328431152505221431296\)	\([]\)	\(127475712\)	\(3.4446\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 489762e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 489762e do not have complex multiplication.

Modular form 489762.2.a.e