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SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 5550.bo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5550.bo1 | 5550bn1 | \([1, 0, 0, -145763, -21445983]\) | \(-175362106452317/131292576\) | \(-256430812500000\) | \([]\) | \(28800\) | \(1.6981\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5550.bo1 has rank \(0\).
Complex multiplication
The elliptic curves in class 5550.bo do not have complex multiplication.Modular form 5550.2.a.bo
sage: E.q_eigenform(10)