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SageMath
E = EllipticCurve("bu1")
E.isogeny_class()
Elliptic curves in class 86190bu
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 86190.bo1 | 86190bu1 | \([1, 1, 1, 1451374954, -41049092752621]\) | \(414491631408272360789951/1132262271188620848000\) | \(-923621118837791211334671408000\) | \([]\) | \(125798400\) | \(4.4334\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 86190bu1 has rank \(1\).
Complex multiplication
The elliptic curves in class 86190bu do not have complex multiplication.Modular form 86190.2.a.bu
sage: E.q_eigenform(10)