Defining parameters
| Level: | \( N \) | \(=\) | \( 5408 = 2^{5} \cdot 13^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5408.bd (of order \(8\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 416 \) |
| Character field: | \(\Q(\zeta_{8})\) | ||
| Sturm bound: | \(1456\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5408, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 2968 | 2504 | 464 |
| Cusp forms | 2856 | 2424 | 432 |
| Eisenstein series | 112 | 80 | 32 |
Decomposition of \(S_{2}^{\mathrm{new}}(5408, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5408, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5408, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(416, [\chi])\)\(^{\oplus 2}\)