Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \(x^{2} - x + 2\); class number \(1\).
Level 16384.8
| Norm: | 16384 |
| Ideal: | \((128) = \left(a\right)^{7} \cdot \left(-a + 1\right)^{7} \) |
| Label: | 16384.8 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 417 |
| Dimension of new cuspidal subspace: | 32 |
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 |
|---|---|---|---|---|
| 16384.8-a | 2 | -1 | yes | no |
| 16384.8-b | 2 | -1 | yes | no |
| 16384.8-c | 2 | -1 | yes (twist) | no |
| 16384.8-d | 2 | -1 | yes (twist) | no |
| 16384.8-e | 2 | -1 | yes (twist) | no |
| 16384.8-f | 2 | +1 | yes (twist) | no |
| 16384.8-g | 2 | -1 | yes (twist) | no |
| 16384.8-h | 2 | +1 | yes (twist) | no |
| 16384.8-i | 2 | +1 | yes (twist) | no |
| 16384.8-j | 2 | -1 | yes (twist) | no |
| 16384.8-k | 2 | -1 | yes (twist) | no |
| 16384.8-l | 2 | +1 | yes (twist) | no |
| 16384.8-m | 2 | -1 | yes | no |
| 16384.8-n | 2 | -1 | yes | no |
| 16384.8-o | 2 | +1 | yes (twist) | no |
| 16384.8-p | 2 | +1 | yes (twist) | no |