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SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 8550bi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8550.bm1 | 8550bi1 | \([1, -1, 1, -10730, -454103]\) | \(-11993263569/972800\) | \(-11080800000000\) | \([]\) | \(29568\) | \(1.2492\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8550bi1 has rank \(0\).
Complex multiplication
The elliptic curves in class 8550bi do not have complex multiplication.Modular form 8550.2.a.bi
sage: E.q_eigenform(10)