Show commands:
SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 162288bi
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 162288.dc1 | 162288bi1 | \([0, 0, 0, 2304960, -13459314512]\) | \(1605632000/93710763\) | \(-79041896206103492702208\) | \([]\) | \(8515584\) | \(3.0733\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162288bi1 has rank \(1\).
Complex multiplication
The elliptic curves in class 162288bi do not have complex multiplication.Modular form 162288.2.a.bi
sage: E.q_eigenform(10)