Defining parameters
| Level: | \( N \) | \(=\) | \( 5290 = 2 \cdot 5 \cdot 23^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5290.s (of order \(253\) and degree \(220\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 529 \) |
| Character field: | \(\Q(\zeta_{253})\) | ||
| Sturm bound: | \(1656\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5290, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 183040 | 40480 | 142560 |
| Cusp forms | 181280 | 40480 | 140800 |
| Eisenstein series | 1760 | 0 | 1760 |
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
\( S_{2}^{\mathrm{old}}(5290, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(529, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1058, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2645, [\chi])\)\(^{\oplus 2}\)