Defining parameters
| Level: | \( N \) | \(=\) | \( 5408 = 2^{5} \cdot 13^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5408.dr (of order \(156\) and degree \(48\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2704 \) |
| Character field: | \(\Q(\zeta_{156})\) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(1456\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5408, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 35136 | 0 | 35136 |
| Cusp forms | 34752 | 0 | 34752 |
| Eisenstein series | 384 | 0 | 384 |
Decomposition of \(S_{2}^{\mathrm{old}}(5408, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5408, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(2704, [\chi])\)\(^{\oplus 2}\)