Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \(x^{2} + 2\); class number \(1\).
Level 20736.3
| Norm: | 20736 |
| Ideal: | \((144) = \left(a\right)^{8} \cdot \left(-a - 1\right)^{2} \cdot \left(a - 1\right)^{2} \) |
| Label: | 20736.3 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 623 |
| Dimension of new cuspidal subspace: | 28 |
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 |
|---|---|---|---|---|
| 20736.3-a | 2 | -1 | no | no |
| 20736.3-b | 2 | +1 | yes | no |
| 20736.3-c | 2 | +1 | yes | no |
| 20736.3-d | 2 | +1 | yes | no |
| 20736.3-e | 2 | -1 | yes | no |
| 20736.3-f | 2 | +1 | no | no |
| 20736.3-g | 2 | +1 | no | no |
| 20736.3-h | 2 | -1 | yes | no |
| 20736.3-i | 2 | +1 | no | no |
| 20736.3-j | 2 | -1 | no | $-4$ |
| 20736.3-k | 2 | -1 | yes (twist) | no |
| 20736.3-l | 2 | -1 | yes (twist) | no |
| 20736.3-m | 2 | +1 | yes (twist) | $-3$ |
| 20736.3-n | 2 | +1 | yes (twist) | $-3$ |
| 20736.3-o | 2 | +1 | yes (twist) | no |
| 20736.3-p | 2 | +1 | yes (twist) | no |
| 20736.3-q | 2 | -1 | no | $-4$ |
| 20736.3-r | 2 | -1 | no | no |
| 20736.3-s | 2 | -1 | no | no |
| 20736.3-t | 2 | -1 | no | no |
| 20736.3-u | 2 | +1 | yes | no |
| 20736.3-v | 2 | -1 | yes | no |
| 20736.3-w | 2 | -1 | yes | no |
| 20736.3-x | 2 | -1 | yes | no |
| 20736.3-y | 2 | +1 | yes | no |
| 20736.3-z | 2 | +1 | no | no |