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SageMath
E = EllipticCurve("ca1")
E.isogeny_class()
Elliptic curves in class 230640ca
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 230640.ca1 | 230640ca1 | \([0, 1, 0, -159921909256, 25508303882003444]\) | \(-124427822010671478697670089/5317924709672681472000\) | \(-19331800084952519112869881577472000\) | \([]\) | \(2098483200\) | \(5.3450\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 230640ca1 has rank \(0\).
Complex multiplication
The elliptic curves in class 230640ca do not have complex multiplication.Modular form 230640.2.a.ca
sage: E.q_eigenform(10)