Defining parameters
Level: | \( N \) | \(=\) | \( 7872 = 2^{6} \cdot 3 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 7872.dc (of order \(8\) and degree \(4\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1312 \) |
Character field: | \(\Q(\zeta_{8})\) | ||
Newform subspaces: | \( 0 \) | ||
Sturm bound: | \(2688\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7872, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 5408 | 0 | 5408 |
Cusp forms | 5344 | 0 | 5344 |
Eisenstein series | 64 | 0 | 64 |
Decomposition of \(S_{2}^{\mathrm{old}}(7872, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(7872, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1312, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2624, [\chi])\)\(^{\oplus 2}\)