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SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 86640bo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
86640.t1 | 86640bo1 | \([0, -1, 0, -36581, 89421]\) | \(77824/45\) | \(3130410339717120\) | \([]\) | \(547200\) | \(1.6628\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 86640bo1 has rank \(0\).
Complex multiplication
The elliptic curves in class 86640bo do not have complex multiplication.Modular form 86640.2.a.bo
sage: E.q_eigenform(10)