Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \(x^{2} + 2\); class number \(1\).
Level 36864.2
| Norm: | 36864 |
| Ideal: | \((192) = \left(a\right)^{12} \cdot \left(-a - 1\right) \cdot \left(a - 1\right) \) |
| Label: | 36864.2 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 689 |
| 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 |
|---|---|---|---|---|
| 36864.2-a | 2 | +1 | yes | no |
| 36864.2-b | 2 | +1 | no | no |
| 36864.2-c | 2 | +1 | no | no |
| 36864.2-d | 2 | +1 | yes | no |
| 36864.2-e | 2 | -1 | no | no |
| 36864.2-f | 2 | +1 | yes (twist) | no |
| 36864.2-g | 2 | +1 | yes (twist) | no |
| 36864.2-h | 2 | -1 | no | no |
| 36864.2-i | 2 | -1 | no | no |
| 36864.2-j | 2 | +1 | yes (twist) | no |
| 36864.2-k | 2 | +1 | yes (twist) | no |
| 36864.2-l | 2 | -1 | no | no |
| 36864.2-m | 2 | +1 | yes | no |
| 36864.2-n | 2 | +1 | no | no |
| 36864.2-o | 2 | +1 | no | no |
| 36864.2-p | 2 | +1 | yes | no |