Defining parameters
Level: | \( N \) | \(=\) | \( 8352 = 2^{5} \cdot 3^{2} \cdot 29 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8352.bj (of order \(4\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 464 \) |
Character field: | \(\Q(i)\) | ||
Newform subspaces: | \( 0 \) | ||
Sturm bound: | \(2880\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8352, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 2912 | 0 | 2912 |
Cusp forms | 2848 | 0 | 2848 |
Eisenstein series | 64 | 0 | 64 |
Decomposition of \(S_{2}^{\mathrm{old}}(8352, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8352, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(464, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(928, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1392, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2784, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4176, [\chi])\)\(^{\oplus 2}\)