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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 86190.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
86190.n1 | 86190q1 | \([1, 1, 0, -703212, 564680784]\) | \(-7967524044697489/23957190366720\) | \(-115636782076797396480\) | \([]\) | \(2903040\) | \(2.5365\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 86190.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 86190.n do not have complex multiplication.Modular form 86190.2.a.n
sage: E.q_eigenform(10)