Show commands:
SageMath
E = EllipticCurve("je1")
E.isogeny_class()
Elliptic curves in class 58800.je
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58800.je1 | 58800en1 | \([0, 1, 0, 773792, 345298463]\) | \(69683121920/110270727\) | \(-81082754755143750000\) | \([]\) | \(1843200\) | \(2.5054\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58800.je1 has rank \(0\).
Complex multiplication
The elliptic curves in class 58800.je do not have complex multiplication.Modular form 58800.2.a.je
sage: E.q_eigenform(10)