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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 338130h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 338130.h1 | 338130h1 | \([1, -1, 0, -10822815, -34109419059]\) | \(-7967524044697489/23957190366720\) | \(-421557616596149852382720\) | \([]\) | \(39813120\) | \(3.2200\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 338130h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 338130h do not have complex multiplication.Modular form 338130.2.a.h
sage: E.q_eigenform(10)