Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \(x^{2} - x + 1\); class number \(1\).
Level 100009.4
| Norm: | 100009 |
| Ideal: | \((127 a + 233) = \left(-a - 2\right)^{2} \cdot \left(a - 4\right) \cdot \left(a - 13\right) \) |
| Label: | 100009.4 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 19 |
| Dimension of new cuspidal subspace: | 9 |
Newforms
This space contains the following newforms of dimension 1. Newforms of higher dimension are not yet in the database.
| label | weight | sign | base change | CM |
|---|---|---|---|---|
| 100009.4-a | 2 | -1 | no | no |
| 100009.4-b | 2 | -1 | no | no |
| 100009.4-c | 2 | -1 | no | no |
| 100009.4-d | 2 | +1 | no | no |