Defining parameters
| Level: | \( N \) | \(=\) | \( 28392 = 2^{3} \cdot 3 \cdot 7 \cdot 13^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 28392.bz (of order \(4\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 312 \) |
| Character field: | \(\Q(i)\) | ||
| Sturm bound: | \(11648\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(28392, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 11760 | 7392 | 4368 |
| Cusp forms | 11536 | 7392 | 4144 |
| Eisenstein series | 224 | 0 | 224 |
Decomposition of \(S_{2}^{\mathrm{new}}(28392, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(28392, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(28392, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(312, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2184, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4056, [\chi])\)\(^{\oplus 2}\)