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SageMath
E = EllipticCurve("cb1")
E.isogeny_class()
Elliptic curves in class 86190cb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 86190.cb1 | 86190cb1 | \([1, 1, 1, -6122035, -5833990063]\) | \(-150149688795910040658889/33589356396300000\) | \(-5676601230974700000\) | \([]\) | \(4195200\) | \(2.5914\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 86190cb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 86190cb do not have complex multiplication.Modular form 86190.2.a.cb
sage: E.q_eigenform(10)