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SageMath
E = EllipticCurve("ez1")
E.isogeny_class()
Elliptic curves in class 58800.ez
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 58800.ez1 | 58800bl1 | \([0, -1, 0, -285833, 70442037]\) | \(-8780800/2187\) | \(-643245907500000000\) | \([]\) | \(786240\) | \(2.1351\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58800.ez1 has rank \(0\).
Complex multiplication
The elliptic curves in class 58800.ez do not have complex multiplication.Modular form 58800.2.a.ez
sage: E.q_eigenform(10)