Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \(x^{2} - x + 1\); class number \(1\).
Level 100009.9
Norm: | 100009 |
Ideal: | \((127 a - 360) = \left(a - 3\right)^{2} \cdot \left(a + 3\right) \cdot \left(a + 12\right) \) |
Label: | 100009.9 |
Modular form spaces
Weight | 2 |
---|---|
Dimension of cuspidal subspace: | 19 |
Dimension of new cuspidal subspace: | 9 |
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 |
---|---|---|---|---|
100009.9-a | 2 | -1 | no | no |
100009.9-b | 2 | -1 | no | no |
100009.9-c | 2 | -1 | no | no |
100009.9-d | 2 | +1 | no | no |