Defining parameters
| Level: | \( N \) | \(=\) | \( 8624 = 2^{4} \cdot 7^{2} \cdot 11 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8624.cx (of order \(14\) and degree \(6\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2156 \) |
| Character field: | \(\Q(\zeta_{14})\) | ||
| Sturm bound: | \(2688\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8624, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 8136 | 2016 | 6120 |
| Cusp forms | 7992 | 2016 | 5976 |
| Eisenstein series | 144 | 0 | 144 |
Decomposition of \(S_{2}^{\mathrm{new}}(8624, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8624, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8624, [\chi]) \cong \)