Defining parameters
| Level: | \( N \) | \(=\) | \( 5203 = 11^{2} \cdot 43 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5203.bk (of order \(70\) and degree \(24\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 473 \) |
| Character field: | \(\Q(\zeta_{70})\) | ||
| Sturm bound: | \(968\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5203, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 11904 | 9696 | 2208 |
| Cusp forms | 11328 | 9312 | 2016 |
| Eisenstein series | 576 | 384 | 192 |
Decomposition of \(S_{2}^{\mathrm{new}}(5203, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5203, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5203, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(473, [\chi])\)\(^{\oplus 2}\)