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SageMath
E = EllipticCurve("by1")
E.isogeny_class()
Elliptic curves in class 86190.by
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
86190.by1 | 86190cd1 | \([1, 1, 1, -107065, -3709945]\) | \(4752182606640001/2546899200000\) | \(72741988051200000\) | \([]\) | \(1140480\) | \(1.9267\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 86190.by1 has rank \(2\).
Complex multiplication
The elliptic curves in class 86190.by do not have complex multiplication.Modular form 86190.2.a.by
sage: E.q_eigenform(10)