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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 86190.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
86190.r1 | 86190m1 | \([1, 1, 0, 59823, -54061509]\) | \(29024858759/1566018750\) | \(-1277449604037018750\) | \([]\) | \(1597440\) | \(2.1540\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 86190.r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 86190.r do not have complex multiplication.Modular form 86190.2.a.r
sage: E.q_eigenform(10)