Defining parameters
| Level: | \( N \) | \(=\) | \( 8033 = 29 \cdot 277 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8033.bk (of order \(46\) and degree \(22\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 277 \) |
| Character field: | \(\Q(\zeta_{46})\) | ||
| Sturm bound: | \(1390\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8033, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 15356 | 14300 | 1056 |
| Cusp forms | 15268 | 14300 | 968 |
| Eisenstein series | 88 | 0 | 88 |
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
\( S_{2}^{\mathrm{old}}(8033, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(277, [\chi])\)\(^{\oplus 2}\)