Show commands:
SageMath
E = EllipticCurve("bu1")
E.isogeny_class()
Elliptic curves in class 86190.bu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
86190.bu1 | 86190bq1 | \([1, 1, 1, 645999, -87285177]\) | \(6176736766011239/4260587175000\) | \(-20565040521574575000\) | \([]\) | \(2419200\) | \(2.3944\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 86190.bu1 has rank \(0\).
Complex multiplication
The elliptic curves in class 86190.bu do not have complex multiplication.Modular form 86190.2.a.bu
sage: E.q_eigenform(10)