Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \(x^{2} - x + 1\); class number \(1\).
Level 16384.1
| Norm: | 16384 |
| Ideal: | \((128) = \left(2\right)^{7} \) |
| Label: | 16384.1 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 29 |
| 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 |
|---|---|---|---|---|
| 16384.1-a | 2 | +1 | yes | no |
| 16384.1-b | 2 | +1 | yes | no |
| 16384.1-c | 2 | -1 | yes (twist) | no |
| 16384.1-d | 2 | +1 | yes (twist) | no |
| 16384.1-e | 2 | -1 | yes (twist) | no |
| 16384.1-f | 2 | +1 | yes (twist) | no |
| 16384.1-g | 2 | +1 | yes | no |
| 16384.1-h | 2 | +1 | yes | no |