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SageMath
E = EllipticCurve("bu1")
E.isogeny_class()
Elliptic curves in class 133952bu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
133952.n1 | 133952bu1 | \([0, 1, 0, -1268293, -550187421]\) | \(13770918300093568000/31622653517\) | \(518105555222528\) | \([]\) | \(1305600\) | \(2.0670\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 133952bu1 has rank \(1\).
Complex multiplication
The elliptic curves in class 133952bu do not have complex multiplication.Modular form 133952.2.a.bu
sage: E.q_eigenform(10)