Defining parameters
| Level: | \( N \) | \(=\) | \( 28900 = 2^{2} \cdot 5^{2} \cdot 17^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 28900.dc (of order \(68\) and degree \(32\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 5780 \) |
| Character field: | \(\Q(\zeta_{68})\) | ||
| Sturm bound: | \(9180\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(28900, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 147264 | 88256 | 59008 |
| Cusp forms | 146496 | 88000 | 58496 |
| Eisenstein series | 768 | 256 | 512 |
Decomposition of \(S_{2}^{\mathrm{new}}(28900, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(28900, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(28900, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(5780, [\chi])\)\(^{\oplus 2}\)