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SageMath
E = EllipticCurve("ho1")
E.isogeny_class()
Elliptic curves in class 207936.ho
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 207936.ho1 | 207936cx1 | \([0, 0, 0, -5514636, 4984517608]\) | \(1462911232\) | \(12678161875854336\) | \([]\) | \(4596480\) | \(2.4049\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 207936.ho1 has rank \(1\).
Complex multiplication
The elliptic curves in class 207936.ho do not have complex multiplication.Modular form 207936.2.a.ho
sage: E.q_eigenform(10)