Defining parameters
| Level: | \( N \) | \(=\) | \( 3584 = 2^{9} \cdot 7 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 3584.ca (of order \(128\) and degree \(64\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 512 \) |
| Character field: | \(\Q(\zeta_{128})\) | ||
| Sturm bound: | \(1024\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(3584, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 32896 | 24576 | 8320 |
| Cusp forms | 32640 | 24576 | 8064 |
| Eisenstein series | 256 | 0 | 256 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(3584, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(3584, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(3584, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(512, [\chi])\)\(^{\oplus 2}\)