Defining parameters
Level: | \( N \) | \(=\) | \( 1792 = 2^{8} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 1792.v (of order \(8\) and degree \(4\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 224 \) |
Character field: | \(\Q(\zeta_{8})\) | ||
Sturm bound: | \(768\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{3}(1792, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 2112 | 528 | 1584 |
Cusp forms | 1984 | 496 | 1488 |
Eisenstein series | 128 | 32 | 96 |
Trace form
Decomposition of \(S_{3}^{\mathrm{new}}(1792, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{3}^{\mathrm{old}}(1792, [\chi])\) into lower level spaces
\( S_{3}^{\mathrm{old}}(1792, [\chi]) \cong \)