Defining parameters
| Level: | \( N \) | \(=\) | \( 8752 = 2^{4} \cdot 547 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8752.bd (of order \(14\) and degree \(6\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 4376 \) |
| Character field: | \(\Q(\zeta_{14})\) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(2192\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8752, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 6600 | 0 | 6600 |
| Cusp forms | 6552 | 0 | 6552 |
| Eisenstein series | 48 | 0 | 48 |
Decomposition of \(S_{2}^{\mathrm{old}}(8752, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8752, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(4376, [\chi])\)\(^{\oplus 2}\)