Defining parameters
| Level: | \( N \) | \(=\) | \( 5408 = 2^{5} \cdot 13^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5408.dj (of order \(104\) and degree \(48\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 5408 \) |
| Character field: | \(\Q(\zeta_{104})\) | ||
| Sturm bound: | \(1456\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5408, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 35040 | 35040 | 0 |
| Cusp forms | 34848 | 34848 | 0 |
| Eisenstein series | 192 | 192 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(5408, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.