Defining parameters
| Level: | \( N \) | \(=\) | \( 324 = 2^{2} \cdot 3^{4} \) |
| Weight: | \( k \) | \(=\) | \( 6 \) |
| Character orbit: | \([\chi]\) | \(=\) | 324.b (of order \(2\) and degree \(1\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 12 \) |
| Character field: | \(\Q\) | ||
| Sturm bound: | \(324\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{6}(324, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 282 | 124 | 158 |
| Cusp forms | 258 | 116 | 142 |
| Eisenstein series | 24 | 8 | 16 |
Trace form
Decomposition of \(S_{6}^{\mathrm{new}}(324, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{6}^{\mathrm{old}}(324, [\chi])\) into lower level spaces
\( S_{6}^{\mathrm{old}}(324, [\chi]) \simeq \) \(S_{6}^{\mathrm{new}}(12, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(36, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(108, [\chi])\)\(^{\oplus 2}\)