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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 182590.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
182590.u1 | 182590l1 | \([1, -1, 1, -45828, -4020569]\) | \(-11993263569/972800\) | \(-863363580876800\) | \([]\) | \(2692800\) | \(1.6122\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 182590.u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 182590.u do not have complex multiplication.Modular form 182590.2.a.u
sage: E.q_eigenform(10)