Defining parameters
Level: | \( N \) | \(=\) | \( 3584 = 2^{9} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 3584.cf (of order \(192\) and degree \(64\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1792 \) |
Character field: | \(\Q(\zeta_{192})\) | ||
Newform subspaces: | \( 0 \) | ||
Sturm bound: | \(1024\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(3584, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 33024 | 0 | 33024 |
Cusp forms | 32512 | 0 | 32512 |
Eisenstein series | 512 | 0 | 512 |
Decomposition of \(S_{2}^{\mathrm{old}}(3584, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(3584, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1792, [\chi])\)\(^{\oplus 2}\)