Defining parameters
Level: | \( N \) | \(=\) | \( 192 = 2^{6} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 11 \) |
Character orbit: | \([\chi]\) | \(=\) | 192.t (of order \(16\) and degree \(8\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 64 \) |
Character field: | \(\Q(\zeta_{16})\) | ||
Sturm bound: | \(352\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{11}(192, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 2576 | 1280 | 1296 |
Cusp forms | 2544 | 1280 | 1264 |
Eisenstein series | 32 | 0 | 32 |
Trace form
Decomposition of \(S_{11}^{\mathrm{new}}(192, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{11}^{\mathrm{old}}(192, [\chi])\) into lower level spaces
\( S_{11}^{\mathrm{old}}(192, [\chi]) \cong \) \(S_{11}^{\mathrm{new}}(64, [\chi])\)\(^{\oplus 2}\)