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SageMath
E = EllipticCurve("da1")
E.isogeny_class()
Elliptic curves in class 37200da
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 37200.dd1 | 37200da1 | \([0, 1, 0, -4160299408, -107031853976812]\) | \(-124427822010671478697670089/5317924709672681472000\) | \(-340347181419051614208000000000\) | \([]\) | \(52462080\) | \(4.4327\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 37200da1 has rank \(0\).
Complex multiplication
The elliptic curves in class 37200da do not have complex multiplication.Modular form 37200.2.a.da
sage: E.q_eigenform(10)