Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \(x^2 + 2\); class number \(1\).
Level 41616.5
| Norm: | 41616 |
| Ideal: | \((204) = \left(a\right)^{4} \cdot \left(-a - 1\right) \cdot \left(a - 1\right) \cdot \left(-2 a + 3\right) \cdot \left(2 a + 3\right) \) |
| Label: | 41616.5 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 445 |
| Dimension of new cuspidal subspace: | 40 |
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 |
|---|---|---|---|---|
| 41616.5-a | 2 | -1 | yes | no |
| 41616.5-b | 2 | +1 | yes | no |
| 41616.5-ba | 2 | +1 | no | no |
| 41616.5-bb | 2 | -1 | no | no |
| 41616.5-c | 2 | +1 | yes | no |
| 41616.5-d | 2 | +1 | yes | no |
| 41616.5-e | 2 | -1 | yes | no |
| 41616.5-f | 2 | -1 | yes | no |
| 41616.5-g | 2 | -1 | yes | no |
| 41616.5-h | 2 | +1 | no | no |
| 41616.5-i | 2 | -1 | no | no |
| 41616.5-j | 2 | -1 | no | no |
| 41616.5-k | 2 | -1 | no | no |
| 41616.5-l | 2 | +1 | no | no |
| 41616.5-m | 2 | -1 | no | no |
| 41616.5-n | 2 | +1 | no | no |
| 41616.5-o | 2 | -1 | no | no |
| 41616.5-p | 2 | -1 | no | no |
| 41616.5-q | 2 | +1 | no | no |
| 41616.5-r | 2 | -1 | no | no |
| 41616.5-s | 2 | -1 | no | no |
| 41616.5-t | 2 | -1 | yes | no |
| 41616.5-u | 2 | -1 | no | no |
| 41616.5-v | 2 | -1 | yes | no |
| 41616.5-w | 2 | -1 | no | no |
| 41616.5-x | 2 | +1 | no | no |
| 41616.5-y | 2 | +1 | yes | no |
| 41616.5-z | 2 | -1 | no | no |