Base field \(\Q(\sqrt{-11}) \)
Generator \(a\), with minimal polynomial \(x^2 - x + 3\); class number \(1\).
Level 43200.4
| Norm: | 43200 |
| Ideal: | \((-24 a + 216) = \left(2\right)^{3} \cdot \left(-a\right)^{2} \cdot \left(a - 1\right) \cdot \left(-a - 1\right)^{2} \) |
| Label: | 43200.4 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 545 |
| Dimension of new cuspidal subspace: | 36 |
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 |
|---|---|---|---|---|
| 43200.4-a | 2 | -1 | no | no |
| 43200.4-b | 2 | +1 | no | no |
| 43200.4-ba | 2 | +1 | no | no |
| 43200.4-bb | 2 | +1 | no | no |
| 43200.4-c | 2 | +1 | no | no |
| 43200.4-d | 2 | +1 | no | no |
| 43200.4-e | 2 | -1 | no | no |
| 43200.4-f | 2 | -1 | no | no |
| 43200.4-g | 2 | +1 | no | no |
| 43200.4-h | 2 | -1 | no | no |
| 43200.4-i | 2 | -1 | no | no |
| 43200.4-j | 2 | +1 | no | no |
| 43200.4-k | 2 | -1 | no | no |
| 43200.4-l | 2 | -1 | no | no |
| 43200.4-m | 2 | -1 | no | no |
| 43200.4-n | 2 | +1 | no | no |
| 43200.4-o | 2 | +1 | no | no |
| 43200.4-p | 2 | -1 | no | no |
| 43200.4-q | 2 | +1 | no | no |
| 43200.4-r | 2 | +1 | no | no |
| 43200.4-s | 2 | -1 | no | no |
| 43200.4-t | 2 | -1 | no | no |
| 43200.4-u | 2 | -1 | no | no |
| 43200.4-v | 2 | +1 | no | no |
| 43200.4-w | 2 | -1 | no | no |
| 43200.4-x | 2 | -1 | no | no |
| 43200.4-y | 2 | -1 | no | no |
| 43200.4-z | 2 | -1 | no | no |