Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \(x^2 + 1\); class number \(1\).
Level 90000.3
| Norm: | 90000 |
| Ideal: | \((300) = \left(i + 1\right)^{4} \cdot \left(3\right) \cdot \left(-i - 2\right)^{2} \cdot \left(2 i + 1\right)^{2} \) |
| Label: | 90000.3 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 523 |
| Dimension of new cuspidal subspace: | 32 |
Newforms
This space contains the following newforms of dimension 1.
| label | weight | sign | base change | CM |
|---|---|---|---|---|
| 90000.3-a | 2 | +1 | no | no |
| 90000.3-b | 2 | -1 | yes (twist) | no |
| 90000.3-ba | 2 | +1 | no | no |
| 90000.3-bb | 2 | -1 | no | no |
| 90000.3-bc | 2 | -1 | no | no |
| 90000.3-bd | 2 | -1 | no | no |
| 90000.3-be | 2 | +1 | no | no |
| 90000.3-bf | 2 | +1 | no | no |
| 90000.3-c | 2 | +1 | yes (twist) | no |
| 90000.3-d | 2 | -1 | yes (twist) | no |
| 90000.3-e | 2 | -1 | yes (twist) | no |
| 90000.3-f | 2 | +1 | yes (twist) | no |
| 90000.3-g | 2 | +1 | yes (twist) | no |
| 90000.3-h | 2 | -1 | yes (twist) | no |
| 90000.3-i | 2 | -1 | yes (twist) | no |
| 90000.3-j | 2 | +1 | yes (twist) | no |
| 90000.3-k | 2 | +1 | no | no |
| 90000.3-l | 2 | +1 | yes (twist) | no |
| 90000.3-m | 2 | +1 | no | no |
| 90000.3-n | 2 | +1 | no | no |
| 90000.3-o | 2 | -1 | yes (twist) | no |
| 90000.3-p | 2 | -1 | yes (twist) | no |
| 90000.3-q | 2 | +1 | no | no |
| 90000.3-r | 2 | +1 | yes (twist) | no |
| 90000.3-s | 2 | -1 | yes (twist) | no |
| 90000.3-t | 2 | +1 | no | no |
| 90000.3-u | 2 | +1 | no | no |
| 90000.3-v | 2 | -1 | no | no |
| 90000.3-w | 2 | +1 | no | no |
| 90000.3-x | 2 | +1 | no | no |
| 90000.3-y | 2 | +1 | no | no |
| 90000.3-z | 2 | +1 | no | no |