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SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 404320bo
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 404320.bo1 | 404320bo1 | \([0, 1, 0, -108781, 13787419]\) | \(-738763264/875\) | \(-168612437504000\) | \([]\) | \(1382400\) | \(1.6414\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 404320bo1 has rank \(0\).
Complex multiplication
The elliptic curves in class 404320bo do not have complex multiplication.Modular form 404320.2.a.bo
sage: E.q_eigenform(10)