Defining parameters
| Level: | \( N \) | \(=\) | \( 6724 = 2^{2} \cdot 41^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6724.f (of order \(4\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 41 \) |
| Character field: | \(\Q(i)\) | ||
| Sturm bound: | \(1722\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6724, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1848 | 274 | 1574 |
| Cusp forms | 1596 | 274 | 1322 |
| Eisenstein series | 252 | 0 | 252 |
Decomposition of \(S_{2}^{\mathrm{new}}(6724, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6724, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6724, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(41, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(82, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(164, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1681, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3362, [\chi])\)\(^{\oplus 2}\)