Defining parameters
| Level: | \( N \) | \(=\) | \( 6825 = 3 \cdot 5^{2} \cdot 7 \cdot 13 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6825.fc (of order \(12\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 455 \) |
| Character field: | \(\Q(\zeta_{12})\) | ||
| Sturm bound: | \(2240\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6825, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 4576 | 1344 | 3232 |
| Cusp forms | 4384 | 1344 | 3040 |
| Eisenstein series | 192 | 0 | 192 |
Decomposition of \(S_{2}^{\mathrm{new}}(6825, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6825, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6825, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(455, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1365, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2275, [\chi])\)\(^{\oplus 2}\)