Elliptic curve isogeny class with LMFDB label 100022.e (Cremona label 100022e)

• Label: 100022.e
• Number of curves: $1$
• Conductor: $100022$
• CM: no
• Rank: $1$

Elliptic curves in class 100022.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
100022.e1	100022e1	\([1, -1, 1, -282799, -57418697]\)	\(2501242968113031090753/19705307474917376\)	\(19705307474917376\)	\([]\)	\(1260864\)	\(1.9548\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 100022.e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 100022.e do not have complex multiplication.

Modular form 100022.2.a.e