Defining parameters
| Level: | \( N \) | \(=\) | \( 4033 = 37 \cdot 109 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4033.b (of order \(2\) and degree \(1\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 37 \) |
| Character field: | \(\Q\) | ||
| Sturm bound: | \(696\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4033, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 350 | 342 | 8 |
| Cusp forms | 346 | 342 | 4 |
| Eisenstein series | 4 | 0 | 4 |
Decomposition of \(S_{2}^{\mathrm{new}}(4033, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4033, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4033, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(37, [\chi])\)\(^{\oplus 2}\)