Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \(x^{2} - x + 2\); class number \(1\).
Level 38809.2
| Norm: | 38809 |
| Ideal: | \((197) = \left(-4 a - 11\right) \cdot \left(4 a - 15\right) \) |
| Label: | 38809.2 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 18 |
| Dimension of new cuspidal subspace: | 18 |
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 |
|---|---|---|---|---|
| 38809.2-a | 2 | -1 | yes | no |
| 38809.2-b | 2 | +1 | no | no |
| 38809.2-c | 2 | +1 | no | no |