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SageMath
E = EllipticCurve("id1")
E.isogeny_class()
Elliptic curves in class 100800id
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 100800.jv1 | 100800id1 | \([0, 0, 0, 568500, -217285000]\) | \(69683121920/110270727\) | \(-32154943993200000000\) | \([]\) | \(2457600\) | \(2.4283\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 100800id1 has rank \(0\).
Complex multiplication
The elliptic curves in class 100800id do not have complex multiplication.Modular form 100800.2.a.id
sage: E.q_eigenform(10)