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SageMath
E = EllipticCurve("do1")
E.isogeny_class()
Elliptic curves in class 229320.do
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 229320.do1 | 229320x1 | \([0, 0, 0, -28812, 2007236]\) | \(-2458624/195\) | \(-209790793255680\) | \([]\) | \(698880\) | \(1.4950\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 229320.do1 has rank \(0\).
Complex multiplication
The elliptic curves in class 229320.do do not have complex multiplication.Modular form 229320.2.a.do
sage: E.q_eigenform(10)