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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 352800.h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 352800.h1 | 352800h1 | \([0, 0, 0, -25725, -1920800]\) | \(-11200/3\) | \(-504304791480000\) | \([]\) | \(1677312\) | \(1.5376\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 352800.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 352800.h do not have complex multiplication.Modular form 352800.2.a.h
sage: E.q_eigenform(10)