Base field \(\Q(\sqrt{-11}) \)
Generator \(a\), with minimal polynomial \(x^2 - x + 3\); class number \(1\).
Level 27500.3
| Norm: | 27500 |
| Ideal: | \((-100 a + 50) = \left(2\right) \cdot \left(-a - 1\right)^{2} \cdot \left(a - 2\right)^{2} \cdot \left(-2 a + 1\right) \) |
| Label: | 27500.3 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 231 |
| Dimension of new cuspidal subspace: | 25 |
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 |
|---|---|---|---|---|
| 27500.3-a | 2 | +1 | yes | no |
| 27500.3-b | 2 | +1 | yes (twist) | no |
| 27500.3-c | 2 | +1 | yes | no |
| 27500.3-d | 2 | -1 | yes | no |
| 27500.3-e | 2 | -1 | yes | no |
| 27500.3-f | 2 | -1 | yes (twist) | no |
| 27500.3-g | 2 | +1 | yes (twist) | no |
| 27500.3-h | 2 | -1 | yes (twist) | no |
| 27500.3-i | 2 | +1 | yes | no |
| 27500.3-j | 2 | -1 | yes | no |
| 27500.3-k | 2 | -1 | yes | no |
| 27500.3-l | 2 | -1 | yes (twist) | no |
| 27500.3-m | 2 | -1 | yes (twist) | no |
| 27500.3-n | 2 | -1 | yes | no |
| 27500.3-o | 2 | -1 | yes | no |
| 27500.3-p | 2 | +1 | yes (twist) | no |
| 27500.3-q | 2 | -1 | yes (twist) | no |
| 27500.3-r | 2 | -1 | yes (twist) | no |
| 27500.3-s | 2 | +1 | yes | no |
| 27500.3-t | 2 | -1 | yes | no |
| 27500.3-u | 2 | -1 | yes | no |
| 27500.3-v | 2 | +1 | yes (twist) | no |
| 27500.3-w | 2 | +1 | yes | no |