Defining parameters
| Level: | \( N \) | \(=\) | \( 208 = 2^{4} \cdot 13 \) |
| Weight: | \( k \) | \(=\) | \( 10 \) |
| Character orbit: | \([\chi]\) | \(=\) | 208.k (of order \(4\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 52 \) |
| Character field: | \(\Q(i)\) | ||
| Sturm bound: | \(280\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{10}(208, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 516 | 126 | 390 |
| Cusp forms | 492 | 126 | 366 |
| Eisenstein series | 24 | 0 | 24 |
Trace form
Decomposition of \(S_{10}^{\mathrm{new}}(208, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{10}^{\mathrm{old}}(208, [\chi])\) into lower level spaces
\( S_{10}^{\mathrm{old}}(208, [\chi]) \simeq \) \(S_{10}^{\mathrm{new}}(52, [\chi])\)\(^{\oplus 3}\)