Base field \(\Q(\sqrt{-599}) \)
Generator \(a\), with minimal polynomial \(x^2 - x + 150\); class number \(25\).
Level 36.6
| Norm: | 36 |
| Ideal: | \((18) = \left(2, a\right) \cdot \left(2, a + 1\right) \cdot \left(3, a + 2\right)^{2} \) |
| Label: | 36.6 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 84 |
| Dimension of new cuspidal subspace: | 26 |
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 |
|---|---|---|---|---|
| 36.6-a | 2 | +1 | no | no |
| 36.6-b | 2 | -1 | yes (twist) | no |
| 36.6-c | 2 | +1 | no | no |