Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \(x^{2} + 1\); class number \(1\).
Level 36864.1
| Norm: | 36864 |
| Ideal: | \((192) = \left(i + 1\right)^{12} \cdot \left(3\right) \) |
| Label: | 36864.1 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 149 |
| Dimension of new cuspidal subspace: | 16 |
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 |
|---|---|---|---|---|
| 36864.1-a | 2 | +1 | yes | no |
| 36864.1-b | 2 | -1 | yes (twist) | no |
| 36864.1-c | 2 | +1 | yes (twist) | no |
| 36864.1-d | 2 | +1 | yes (twist) | no |
| 36864.1-e | 2 | -1 | yes | no |
| 36864.1-f | 2 | -1 | yes | no |
| 36864.1-g | 2 | -1 | yes (twist) | no |
| 36864.1-h | 2 | +1 | yes | no |