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SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 208725.bo
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 208725.bo1 | 208725bk1 | \([0, 1, 1, 44367, -17151106]\) | \(2883584/39675\) | \(-132885759432421875\) | \([]\) | \(1774080\) | \(1.9664\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 208725.bo1 has rank \(0\).
Complex multiplication
The elliptic curves in class 208725.bo do not have complex multiplication.Modular form 208725.2.a.bo
sage: E.q_eigenform(10)