Defining parameters
Level: | \( N \) | \(=\) | \( 2352 = 2^{4} \cdot 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 2352.da (of order \(42\) and degree \(12\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1176 \) |
Character field: | \(\Q(\zeta_{42})\) | ||
Newform subspaces: | \( 0 \) | ||
Sturm bound: | \(1792\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(2352, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 16224 | 0 | 16224 |
Cusp forms | 16032 | 0 | 16032 |
Eisenstein series | 192 | 0 | 192 |
Decomposition of \(S_{4}^{\mathrm{old}}(2352, [\chi])\) into lower level spaces
\( S_{4}^{\mathrm{old}}(2352, [\chi]) \cong \) \(S_{4}^{\mathrm{new}}(1176, [\chi])\)\(^{\oplus 2}\)