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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 86190e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
86190.f1 | 86190e1 | \([1, 1, 0, -1034623918, -12812103048428]\) | \(-150149688795910040658889/33589356396300000\) | \(-27399869911079760732300000\) | \([]\) | \(54537600\) | \(3.8738\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 86190e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 86190e do not have complex multiplication.Modular form 86190.2.a.e
sage: E.q_eigenform(10)