Show commands:
SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 426888bo
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 426888.bo1 | 426888bo1 | \([0, 0, 0, -9836211, 9695847854]\) | \(6902546/1331\) | \(20294388371293908867072\) | \([]\) | \(29030400\) | \(2.9975\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 426888bo1 has rank \(1\).
Complex multiplication
The elliptic curves in class 426888bo do not have complex multiplication.Modular form 426888.2.a.bo
sage: E.q_eigenform(10)