Defining parameters
| Level: | \( N \) | \(=\) | \( 1104 = 2^{4} \cdot 3 \cdot 23 \) |
| Weight: | \( k \) | \(=\) | \( 6 \) |
| Character orbit: | \([\chi]\) | \(=\) | 1104.m (of order \(2\) and degree \(1\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 69 \) |
| Character field: | \(\Q\) | ||
| Sturm bound: | \(1152\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{6}(1104, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 972 | 242 | 730 |
| Cusp forms | 948 | 238 | 710 |
| Eisenstein series | 24 | 4 | 20 |
Trace form
Decomposition of \(S_{6}^{\mathrm{new}}(1104, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{6}^{\mathrm{old}}(1104, [\chi])\) into lower level spaces
\( S_{6}^{\mathrm{old}}(1104, [\chi]) \cong \) \(S_{6}^{\mathrm{new}}(69, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(138, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(276, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(552, [\chi])\)\(^{\oplus 2}\)