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SageMath
E = EllipticCurve("hl1")
E.isogeny_class()
Elliptic curves in class 148800hl
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 148800.hq1 | 148800hl1 | \([0, 1, 0, -16641197633, 856238190616863]\) | \(-124427822010671478697670089/5317924709672681472000\) | \(-21782219610819303309312000000000\) | \([]\) | \(419696640\) | \(4.7793\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 148800hl1 has rank \(0\).
Complex multiplication
The elliptic curves in class 148800hl do not have complex multiplication.Modular form 148800.2.a.hl
sage: E.q_eigenform(10)