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SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 152592bo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
152592.j1 | 152592bo1 | \([0, -1, 0, -26344, 1654768]\) | \(-1708156114633/215622\) | \(-255241248768\) | \([]\) | \(269568\) | \(1.2109\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 152592bo1 has rank \(1\).
Complex multiplication
The elliptic curves in class 152592bo do not have complex multiplication.Modular form 152592.2.a.bo
sage: E.q_eigenform(10)