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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 20800h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 20800.cq1 | 20800h1 | \([0, 1, 0, -1633, -27137]\) | \(-235298/13\) | \(-26624000000\) | \([]\) | \(17920\) | \(0.75826\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 20800h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 20800h do not have complex multiplication.Modular form 20800.2.a.h
sage: E.q_eigenform(10)