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

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

Elliptic curves in class 489762eb

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
489762.eb1	489762eb1	\([1, -1, 1, -245057468, 1723844231295]\)	\(-78167567758120133372521/16416253960463056896\)	\(-341802314806928533276852224\)	\([]\)	\(204337152\)	\(3.8130\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 489762eb1 has rank \(1\).

Complex multiplication

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

Modular form 489762.2.a.eb