Defining parameters
| Level: | \( N \) | \(=\) | \( 2499 = 3 \cdot 7^{2} \cdot 17 \) |
| Weight: | \( k \) | \(=\) | \( 4 \) |
| Character orbit: | \([\chi]\) | \(=\) | 2499.x (of order \(8\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 357 \) |
| Character field: | \(\Q(\zeta_{8})\) | ||
| Sturm bound: | \(1344\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(2499, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 4096 | 2912 | 1184 |
| Cusp forms | 3968 | 2848 | 1120 |
| Eisenstein series | 128 | 64 | 64 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(2499, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{4}^{\mathrm{old}}(2499, [\chi])\) into lower level spaces
\( S_{4}^{\mathrm{old}}(2499, [\chi]) \simeq \) \(S_{4}^{\mathrm{new}}(357, [\chi])\)\(^{\oplus 2}\)