Defining parameters
| Level: | \( N \) | \(=\) | \( 1088 = 2^{6} \cdot 17 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 1088.cy (of order \(16\) and degree \(8\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 136 \) |
| Character field: | \(\Q(\zeta_{16})\) | ||
| Sturm bound: | \(288\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(1088, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1248 | 288 | 960 |
| Cusp forms | 1056 | 288 | 768 |
| Eisenstein series | 192 | 0 | 192 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(1088, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(1088, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(1088, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(136, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(544, [\chi])\)\(^{\oplus 2}\)