Defining parameters
| Level: | \( N \) | \(=\) | \( 5312 = 2^{6} \cdot 83 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5312.bi (of order \(328\) and degree \(160\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2656 \) |
| Character field: | \(\Q(\zeta_{328})\) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(1344\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5312, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 108160 | 0 | 108160 |
| Cusp forms | 106880 | 0 | 106880 |
| Eisenstein series | 1280 | 0 | 1280 |
Decomposition of \(S_{2}^{\mathrm{old}}(5312, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5312, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2656, [\chi])\)\(^{\oplus 2}\)