Show commands:
SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 126400.bo
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 126400.bo1 | 126400cb1 | \([0, 1, 0, -5633, -155137]\) | \(4826809/316\) | \(1294336000000\) | \([]\) | \(215040\) | \(1.0739\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 126400.bo1 has rank \(1\).
Complex multiplication
The elliptic curves in class 126400.bo do not have complex multiplication.Modular form 126400.2.a.bo
sage: E.q_eigenform(10)