Defining parameters
Level: | \( N \) | \(=\) | \( 8993 = 17 \cdot 23^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8993.b (of order \(2\) and degree \(1\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 17 \) |
Character field: | \(\Q\) | ||
Sturm bound: | \(1656\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8993, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 852 | 778 | 74 |
Cusp forms | 804 | 736 | 68 |
Eisenstein series | 48 | 42 | 6 |
Decomposition of \(S_{2}^{\mathrm{new}}(8993, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8993, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8993, [\chi]) \cong \)