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SageMath
E = EllipticCurve("bu1")
E.isogeny_class()
Elliptic curves in class 40950.bu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
40950.bu1 | 40950bq1 | \([1, -1, 0, -1692, 31216]\) | \(-47045881/8736\) | \(-99508500000\) | \([]\) | \(44800\) | \(0.83477\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40950.bu1 has rank \(0\).
Complex multiplication
The elliptic curves in class 40950.bu do not have complex multiplication.Modular form 40950.2.a.bu
sage: E.q_eigenform(10)