Defining parameters
Level: | \( N \) | \(=\) | \( 208 = 2^{4} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 208.ba (of order \(6\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 104 \) |
Character field: | \(\Q(\zeta_{6})\) | ||
Newform subspaces: | \( 0 \) | ||
Sturm bound: | \(112\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(208, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 176 | 0 | 176 |
Cusp forms | 160 | 0 | 160 |
Eisenstein series | 16 | 0 | 16 |
Decomposition of \(S_{4}^{\mathrm{old}}(208, [\chi])\) into lower level spaces
\( S_{4}^{\mathrm{old}}(208, [\chi]) \cong \) \(S_{4}^{\mathrm{new}}(104, [\chi])\)\(^{\oplus 2}\)