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SageMath
E = EllipticCurve("dv1")
E.isogeny_class()
Elliptic curves in class 286110.dv
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 286110.dv1 | 286110dv1 | \([1, -1, 1, -192882964388, -32607987438822969]\) | \(-45100802713464654722769650329/4293192974400000000000\) | \(-75544259162773625294400000000000\) | \([]\) | \(1551052800\) | \(5.1537\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 286110.dv1 has rank \(0\).
Complex multiplication
The elliptic curves in class 286110.dv do not have complex multiplication.Modular form 286110.2.a.dv
sage: E.q_eigenform(10)