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SageMath
E = EllipticCurve("bu1")
E.isogeny_class()
Elliptic curves in class 204490bu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
204490.a1 | 204490bu1 | \([1, -1, 0, 98411, 11032555]\) | \(9261/10\) | \(-113813631364480190\) | \([]\) | \(5702400\) | \(1.9594\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 204490bu1 has rank \(0\).
Complex multiplication
The elliptic curves in class 204490bu do not have complex multiplication.Modular form 204490.2.a.bu
sage: E.q_eigenform(10)