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SageMath
E = EllipticCurve("bu1")
E.isogeny_class()
Elliptic curves in class 226576bu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
226576.cs1 | 226576bu1 | \([0, 1, 0, -270989616, -1717116934828]\) | \(654699641761/112\) | \(376493585873860231168\) | \([]\) | \(39481344\) | \(3.3467\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 226576bu1 has rank \(0\).
Complex multiplication
The elliptic curves in class 226576bu do not have complex multiplication.Modular form 226576.2.a.bu
sage: E.q_eigenform(10)