Defining parameters
| Level: | \( N \) | \(=\) | \( 16272 = 2^{4} \cdot 3^{2} \cdot 113 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 16272.ew (of order \(16\) and degree \(8\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 5424 \) |
| Character field: | \(\Q(\zeta_{16})\) | ||
| Sturm bound: | \(5472\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(16272, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 21952 | 7296 | 14656 |
| Cusp forms | 21824 | 7296 | 14528 |
| Eisenstein series | 128 | 0 | 128 |
Decomposition of \(S_{2}^{\mathrm{new}}(16272, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(16272, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(16272, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(5424, [\chi])\)\(^{\oplus 2}\)