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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 6630h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 6630.f1 | 6630h1 | \([1, 1, 0, 3823, -38259]\) | \(6176736766011239/4260587175000\) | \(-4260587175000\) | \([]\) | \(14400\) | \(1.1120\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6630h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6630h do not have complex multiplication.Modular form 6630.2.a.h
sage: E.q_eigenform(10)