Base field \(\Q(\sqrt{-11}) \)
Generator \(a\), with minimal polynomial \(x^{2} - x + 3\); class number \(1\).
Level 22500.8
| Norm: | 22500 |
| Ideal: | \((150) = \left(2\right) \cdot \left(-a\right) \cdot \left(a - 1\right) \cdot \left(-a - 1\right)^{2} \cdot \left(a - 2\right)^{2} \) |
| Label: | 22500.8 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 427 |
| Dimension of new cuspidal subspace: | 43 |
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 |
|---|---|---|---|---|
| 22500.8-a | 2 | -1 | no | no |
| 22500.8-b | 2 | -1 | no | no |
| 22500.8-ba | 2 | -1 | no | no |
| 22500.8-bb | 2 | -1 | no | no |
| 22500.8-bc | 2 | -1 | no | no |
| 22500.8-bd | 2 | -1 | no | no |
| 22500.8-be | 2 | -1 | no | no |
| 22500.8-bf | 2 | -1 | no | no |
| 22500.8-bg | 2 | +1 | yes | no |
| 22500.8-bh | 2 | +1 | no | no |
| 22500.8-bi | 2 | +1 | no | no |
| 22500.8-c | 2 | -1 | no | no |
| 22500.8-d | 2 | -1 | no | no |
| 22500.8-e | 2 | +1 | yes | no |
| 22500.8-f | 2 | +1 | no | no |
| 22500.8-g | 2 | +1 | no | no |
| 22500.8-h | 2 | +1 | yes | no |
| 22500.8-i | 2 | +1 | yes (twist) | no |
| 22500.8-j | 2 | -1 | no | no |
| 22500.8-k | 2 | +1 | no | no |
| 22500.8-l | 2 | +1 | no | no |
| 22500.8-m | 2 | +1 | no | no |
| 22500.8-n | 2 | +1 | no | no |
| 22500.8-o | 2 | +1 | no | no |
| 22500.8-p | 2 | -1 | no | no |
| 22500.8-q | 2 | +1 | yes (twist) | no |
| 22500.8-r | 2 | -1 | no | no |
| 22500.8-s | 2 | +1 | no | no |
| 22500.8-t | 2 | +1 | no | no |
| 22500.8-u | 2 | +1 | no | no |
| 22500.8-v | 2 | +1 | no | no |
| 22500.8-w | 2 | +1 | no | no |
| 22500.8-x | 2 | -1 | no | no |
| 22500.8-y | 2 | +1 | no | no |
| 22500.8-z | 2 | +1 | no | no |