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SageMath
E = EllipticCurve("es1")
E.isogeny_class()
Elliptic curves in class 382200es
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 382200.es1 | 382200es1 | \([0, -1, 0, 2287, 716997]\) | \(351232/59319\) | \(-223322272992000\) | \([]\) | \(1347840\) | \(1.4326\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 382200es1 has rank \(0\).
Complex multiplication
The elliptic curves in class 382200es do not have complex multiplication.Modular form 382200.2.a.es
sage: E.q_eigenform(10)