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SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 350658bo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
350658.bo1 | 350658bo1 | \([1, -1, 0, -20466, -1190700]\) | \(-977077413467/71221248\) | \(-69105905713152\) | \([]\) | \(967680\) | \(1.4049\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 350658bo1 has rank \(1\).
Complex multiplication
The elliptic curves in class 350658bo do not have complex multiplication.Modular form 350658.2.a.bo
sage: E.q_eigenform(10)