Defining parameters
| Level: | \( N \) | \(=\) | \( 112 = 2^{4} \cdot 7 \) |
| Weight: | \( k \) | \(=\) | \( 10 \) |
| Character orbit: | \([\chi]\) | \(=\) | 112.b (of order \(2\) and degree \(1\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 8 \) |
| Character field: | \(\Q\) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(160\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{10}(112, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 148 | 0 | 148 |
| Cusp forms | 140 | 0 | 140 |
| Eisenstein series | 8 | 0 | 8 |
Decomposition of \(S_{10}^{\mathrm{old}}(112, [\chi])\) into lower level spaces
\( S_{10}^{\mathrm{old}}(112, [\chi]) \cong \)