Defining parameters
Level: | \( N \) | \(=\) | \( 1792 = 2^{8} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 1792.bl (of order \(32\) and degree \(16\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 128 \) |
Character field: | \(\Q(\zeta_{32})\) | ||
Newform subspaces: | \( 0 \) | ||
Sturm bound: | \(768\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{3}(1792, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 8256 | 0 | 8256 |
Cusp forms | 8128 | 0 | 8128 |
Eisenstein series | 128 | 0 | 128 |
Decomposition of \(S_{3}^{\mathrm{old}}(1792, [\chi])\) into lower level spaces
\( S_{3}^{\mathrm{old}}(1792, [\chi]) \cong \) \(S_{3}^{\mathrm{new}}(128, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{3}^{\mathrm{new}}(256, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{3}^{\mathrm{new}}(896, [\chi])\)\(^{\oplus 2}\)