Defining parameters
Level: | \( N \) | \(=\) | \( 9792 = 2^{6} \cdot 3^{2} \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 9792.dr (of order \(8\) and degree \(4\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1632 \) |
Character field: | \(\Q(\zeta_{8})\) | ||
Newform subspaces: | \( 0 \) | ||
Sturm bound: | \(3456\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9792, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 6976 | 0 | 6976 |
Cusp forms | 6848 | 0 | 6848 |
Eisenstein series | 128 | 0 | 128 |
Decomposition of \(S_{2}^{\mathrm{old}}(9792, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(9792, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1632, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3264, [\chi])\)\(^{\oplus 2}\)