Defining parameters
| Level: | \( N \) | \(=\) | \( 8624 = 2^{4} \cdot 7^{2} \cdot 11 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8624.gt (of order \(210\) and degree \(48\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 4312 \) |
| Character field: | \(\Q(\zeta_{210})\) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(2688\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8624, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 64896 | 0 | 64896 |
| Cusp forms | 64128 | 0 | 64128 |
| Eisenstein series | 768 | 0 | 768 |
Decomposition of \(S_{2}^{\mathrm{old}}(8624, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8624, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(4312, [\chi])\)\(^{\oplus 2}\)