Defining parameters
| Level: | \( N \) | \(=\) | \( 6038 = 2 \cdot 3019 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6038.c (of order \(3\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 3019 \) |
| Character field: | \(\Q(\zeta_{3})\) | ||
| Sturm bound: | \(1510\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6038, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1514 | 502 | 1012 |
| Cusp forms | 1506 | 502 | 1004 |
| Eisenstein series | 8 | 0 | 8 |
Decomposition of \(S_{2}^{\mathrm{new}}(6038, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6038, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6038, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(3019, [\chi])\)\(^{\oplus 2}\)