Show commands:
SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 59150bo
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 59150.ch1 | 59150bo1 | \([1, -1, 1, -759180, 275458447]\) | \(-1026590625/100352\) | \(-4730272820000000000\) | \([]\) | \(2534400\) | \(2.3243\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 59150bo1 has rank \(0\).
Complex multiplication
The elliptic curves in class 59150bo do not have complex multiplication.Modular form 59150.2.a.bo
sage: E.q_eigenform(10)