Defining parameters
| Level: | \( N \) | \(=\) | \( 9898 = 2 \cdot 7^{2} \cdot 101 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 9898.ca (of order \(150\) and degree \(40\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 707 \) |
| Character field: | \(\Q(\zeta_{150})\) | ||
| Sturm bound: | \(2856\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9898, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 57760 | 13600 | 44160 |
| Cusp forms | 56480 | 13600 | 42880 |
| Eisenstein series | 1280 | 0 | 1280 |
Decomposition of \(S_{2}^{\mathrm{new}}(9898, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(9898, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(9898, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(707, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1414, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4949, [\chi])\)\(^{\oplus 2}\)