Base field \(\Q(\sqrt{-163}) \)
Generator \(a\), with minimal polynomial \(x^{2} - x + 41\); class number \(1\).
Level 163.1
| Norm: | 163 |
| Ideal: | \((-2 a + 1) = \left(-2 a + 1\right) \) |
| Label: | 163.1 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 13 |
| Dimension of new cuspidal subspace: | 13 |
Newforms
This space contains the following newform of dimension 1. Newforms of higher dimension are not yet in the database.
| label | weight | sign | base change | CM |
|---|---|---|---|---|
| 163.1-a | 2 | -1 | yes | no |