Defining parameters
| Level: | \( N \) | \(=\) | \( 8464 = 2^{4} \cdot 23^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8464.z (of order \(46\) and degree \(22\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 4232 \) |
| Character field: | \(\Q(\zeta_{46})\) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(2208\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8464, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 24376 | 0 | 24376 |
| Cusp forms | 24200 | 0 | 24200 |
| Eisenstein series | 176 | 0 | 176 |
Decomposition of \(S_{2}^{\mathrm{old}}(8464, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8464, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(4232, [\chi])\)\(^{\oplus 2}\)