Defining parameters
| Level: | \( N \) | \(=\) | \( 5290 = 2 \cdot 5 \cdot 23^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5290.p (of order \(46\) and degree \(22\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2645 \) |
| Character field: | \(\Q(\zeta_{46})\) | ||
| Sturm bound: | \(1656\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5290, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 18304 | 6072 | 12232 |
| Cusp forms | 18128 | 6072 | 12056 |
| Eisenstein series | 176 | 0 | 176 |
Decomposition of \(S_{2}^{\mathrm{new}}(5290, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5290, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5290, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2645, [\chi])\)\(^{\oplus 2}\)