Defining parameters
Level: | \( N \) | \(=\) | \( 9200 = 2^{4} \cdot 5^{2} \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 9200.bf (of order \(4\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 920 \) |
Character field: | \(\Q(i)\) | ||
Newform subspaces: | \( 0 \) | ||
Sturm bound: | \(2880\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9200, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 2928 | 0 | 2928 |
Cusp forms | 2832 | 0 | 2832 |
Eisenstein series | 96 | 0 | 96 |
Decomposition of \(S_{2}^{\mathrm{old}}(9200, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(9200, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(920, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4600, [\chi])\)\(^{\oplus 2}\)