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SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 88445bo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88445.s1 | 88445bo1 | \([0, -1, 1, 1685, -258854]\) | \(32768/1805\) | \(-29126810615315\) | \([]\) | \(115200\) | \(1.2632\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88445bo1 has rank \(0\).
Complex multiplication
The elliptic curves in class 88445bo do not have complex multiplication.Modular form 88445.2.a.bo
sage: E.q_eigenform(10)