Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \(x^{2} - x + 1\); class number \(1\).
Level 21609.3
| Norm: | 21609 |
| Ideal: | \((147) = \left(a + 1\right)^{2} \cdot \left(-a - 2\right)^{2} \cdot \left(a - 3\right)^{2} \) |
| Label: | 21609.3 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 53 |
| Dimension of new cuspidal subspace: | 8 |
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 |
|---|---|---|---|---|
| 21609.3-a | 2 | +1 | yes | no |
| 21609.3-b | 2 | -1 | yes (twist) | no |
| 21609.3-c | 2 | -1 | yes (twist) | no |
| 21609.3-d | 2 | +1 | yes | $-7$ |