Defining parameters
Level: | \( N \) | \(=\) | \( 576 = 2^{6} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 576.bi (of order \(24\) and degree \(8\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 288 \) |
Character field: | \(\Q(\zeta_{24})\) | ||
Newform subspaces: | \( 0 \) | ||
Sturm bound: | \(672\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{7}(576, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 4640 | 0 | 4640 |
Cusp forms | 4576 | 0 | 4576 |
Eisenstein series | 64 | 0 | 64 |
Decomposition of \(S_{7}^{\mathrm{old}}(576, [\chi])\) into lower level spaces
\( S_{7}^{\mathrm{old}}(576, [\chi]) \cong \) \(S_{7}^{\mathrm{new}}(288, [\chi])\)\(^{\oplus 2}\)