Defining parameters
Level: | \( N \) | \(=\) | \( 9792 = 2^{6} \cdot 3^{2} \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 9792.lw (of order \(48\) and degree \(16\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 4896 \) |
Character field: | \(\Q(\zeta_{48})\) | ||
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 | 27776 | 0 | 27776 |
Cusp forms | 27520 | 0 | 27520 |
Eisenstein series | 256 | 0 | 256 |
Decomposition of \(S_{2}^{\mathrm{old}}(9792, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(9792, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(4896, [\chi])\)\(^{\oplus 2}\)