Defining parameters
Level: | \( N \) | \(=\) | \( 24 = 2^{3} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 24.g (of order \(2\) and degree \(1\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 4 \) |
Character field: | \(\Q\) | ||
Newform subspaces: | \( 0 \) | ||
Sturm bound: | \(20\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{5}(24, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 20 | 0 | 20 |
Cusp forms | 12 | 0 | 12 |
Eisenstein series | 8 | 0 | 8 |
Decomposition of \(S_{5}^{\mathrm{old}}(24, [\chi])\) into lower level spaces
\( S_{5}^{\mathrm{old}}(24, [\chi]) \cong \) \(S_{5}^{\mathrm{new}}(4, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{5}^{\mathrm{new}}(12, [\chi])\)\(^{\oplus 2}\)