Defining parameters
| Level: | \( N \) | \(=\) | \( 8033 = 29 \cdot 277 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8033.bm (of order \(69\) and degree \(44\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 277 \) |
| Character field: | \(\Q(\zeta_{69})\) | ||
| Sturm bound: | \(1390\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8033, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 30624 | 28512 | 2112 |
| Cusp forms | 30448 | 28512 | 1936 |
| Eisenstein series | 176 | 0 | 176 |
Decomposition of \(S_{2}^{\mathrm{new}}(8033, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8033, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8033, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(277, [\chi])\)\(^{\oplus 2}\)