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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 422331.h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 422331.h1 | 422331h1 | \([0, 1, 1, -35884, -10443338]\) | \(-53248/459\) | \(-44050185750072411\) | \([]\) | \(5660928\) | \(1.8763\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 422331.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 422331.h do not have complex multiplication.Modular form 422331.2.a.h
sage: E.q_eigenform(10)