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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 55545.h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 55545.h1 | 55545z1 | \([1, 0, 0, 955, 88650]\) | \(182074754111/6511640625\) | \(-3444657890625\) | \([]\) | \(100800\) | \(1.0856\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 55545.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 55545.h do not have complex multiplication.Modular form 55545.2.a.h
sage: E.q_eigenform(10)