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SageMath
E = EllipticCurve("bu1")
E.isogeny_class()
Elliptic curves in class 18480.bu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
18480.bu1 | 18480cm1 | \([0, 1, 0, -2101, -120541]\) | \(-250523582464/1369738755\) | \(-5610449940480\) | \([]\) | \(28800\) | \(1.1304\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 18480.bu1 has rank \(1\).
Complex multiplication
The elliptic curves in class 18480.bu do not have complex multiplication.Modular form 18480.2.a.bu
sage: E.q_eigenform(10)