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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 10008h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 10008.h1 | 10008h1 | \([0, 0, 0, -8211, 289118]\) | \(-82013318212/911979\) | \(-680788675584\) | \([]\) | \(26624\) | \(1.0854\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10008h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 10008h do not have complex multiplication.Modular form 10008.2.a.h
sage: E.q_eigenform(10)