Defining parameters
| Level: | \( N \) | \(=\) | \( 9216 = 2^{10} \cdot 3^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 9216.bp (of order \(48\) and degree \(16\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 576 \) |
| Character field: | \(\Q(\zeta_{48})\) | ||
| Sturm bound: | \(3072\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9216, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 25088 | 6272 | 18816 |
| Cusp forms | 24064 | 6016 | 18048 |
| Eisenstein series | 1024 | 256 | 768 |
Decomposition of \(S_{2}^{\mathrm{new}}(9216, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(9216, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(9216, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(576, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1152, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2304, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4608, [\chi])\)\(^{\oplus 2}\)