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SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 8400bo
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 8400.bb1 | 8400bo1 | \([0, -1, 0, -100728, 12346992]\) | \(-1103770289367265/891813888\) | \(-91321742131200\) | \([]\) | \(54720\) | \(1.6084\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8400bo1 has rank \(1\).
Complex multiplication
The elliptic curves in class 8400bo do not have complex multiplication.Modular form 8400.2.a.bo
sage: E.q_eigenform(10)