Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \(x^{2} + 2\); class number \(1\).
Level 38416.1
| Norm: | 38416 |
| Ideal: | \((196) = \left(a\right)^{4} \cdot \left(7\right)^{2} \) |
| Label: | 38416.1 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 213 |
| Dimension of new cuspidal subspace: | 42 |
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 |
|---|---|---|---|---|
| 38416.1-a | 2 | +1 | yes | no |
| 38416.1-b | 2 | -1 | yes | no |
| 38416.1-c | 2 | +1 | yes | no |
| 38416.1-d | 2 | -1 | yes | no |
| 38416.1-e | 2 | -1 | yes | $-7$ |
| 38416.1-f | 2 | +1 | yes | no |
| 38416.1-g | 2 | +1 | yes | no |
| 38416.1-h | 2 | -1 | yes | no |
| 38416.1-i | 2 | +1 | yes | no |
| 38416.1-j | 2 | +1 | yes | no |