Defining parameters
Level: | \( N \) | \(=\) | \( 5290 = 2 \cdot 5 \cdot 23^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 5290.t (of order \(506\) and degree \(220\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2645 \) |
Character field: | \(\Q(\zeta_{506})\) | ||
Sturm bound: | \(1656\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5290, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 183040 | 60720 | 122320 |
Cusp forms | 181280 | 60720 | 120560 |
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
\( S_{2}^{\mathrm{old}}(5290, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2645, [\chi])\)\(^{\oplus 2}\)