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SageMath
E = EllipticCurve("bu1")
E.isogeny_class()
Elliptic curves in class 57222.bu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
57222.bu1 | 57222bq1 | \([1, -1, 1, -14819, 698105]\) | \(-1708156114633/215622\) | \(-45427458582\) | \([]\) | \(89856\) | \(1.0671\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 57222.bu1 has rank \(0\).
Complex multiplication
The elliptic curves in class 57222.bu do not have complex multiplication.Modular form 57222.2.a.bu
sage: E.q_eigenform(10)