Defining parameters
| Level: | \( N \) | \(=\) | \( 28665 = 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 28665.ot (of order \(12\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 195 \) |
| Character field: | \(\Q(\zeta_{12})\) | ||
| Sturm bound: | \(9408\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(28665, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 19072 | 4592 | 14480 |
| Cusp forms | 18560 | 4592 | 13968 |
| Eisenstein series | 512 | 0 | 512 |
Decomposition of \(S_{2}^{\mathrm{new}}(28665, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(28665, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(28665, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(195, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(585, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1365, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4095, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(9555, [\chi])\)\(^{\oplus 2}\)