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SageMath
E = EllipticCurve("do1")
E.isogeny_class()
Elliptic curves in class 39600.do
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 39600.do1 | 39600y1 | \([0, 0, 0, -285420, 58709180]\) | \(-551149496796160/192913083\) | \(-900055280044800\) | \([]\) | \(199680\) | \(1.8398\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 39600.do1 has rank \(1\).
Complex multiplication
The elliptic curves in class 39600.do do not have complex multiplication.Modular form 39600.2.a.do
sage: E.q_eigenform(10)