Show commands:
SageMath
E = EllipticCurve("ke1")
E.isogeny_class()
Elliptic curves in class 159936.ke
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 159936.ke1 | 159936cf1 | \([0, 1, 0, 3071, -215041]\) | \(103823/714\) | \(-22020459331584\) | \([]\) | \(368640\) | \(1.2419\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 159936.ke1 has rank \(0\).
Complex multiplication
The elliptic curves in class 159936.ke do not have complex multiplication.Modular form 159936.2.a.ke
sage: E.q_eigenform(10)