Elliptic curve isogeny class with LMFDB label 491970.e (Cremona label 491970e)

• Label: 491970.e
• Number of curves: $1$
• Conductor: $491970$
• CM: no
• Rank: $1$

Elliptic curves in class 491970.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
491970.e1	491970e1	\([1, 1, 0, -6946758, 7041340692]\)	\(70083316821235188048601/35018202188759040\)	\(18524628957853532160\)	\([]\)	\(26127360\)	\(2.6499\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 491970.e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 491970.e do not have complex multiplication.

Modular form 491970.2.a.e