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SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 133952bi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
133952.cn1 | 133952bi1 | \([0, -1, 0, -1268293, 550187421]\) | \(13770918300093568000/31622653517\) | \(518105555222528\) | \([]\) | \(1305600\) | \(2.0670\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 133952bi1 has rank \(0\).
Complex multiplication
The elliptic curves in class 133952bi do not have complex multiplication.Modular form 133952.2.a.bi
sage: E.q_eigenform(10)