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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 180708h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 180708.f1 | 180708h1 | \([0, -1, 0, -180380821, -932407265183]\) | \(-1852044335558653867196416/473513931\) | \(-165949586313984\) | \([]\) | \(13271040\) | \(3.0111\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 180708h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 180708h do not have complex multiplication.Modular form 180708.2.a.h
sage: E.q_eigenform(10)