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SageMath
E = EllipticCurve("do1")
E.isogeny_class()
Elliptic curves in class 234650.do
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 234650.do1 | 234650do1 | \([1, 1, 1, 108112, -151012719]\) | \(304175/21632\) | \(-9938442361250000000\) | \([]\) | \(5911920\) | \(2.3248\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 234650.do1 has rank \(1\).
Complex multiplication
The elliptic curves in class 234650.do do not have complex multiplication.Modular form 234650.2.a.do
sage: E.q_eigenform(10)