Defining parameters
| Level: | \( N \) | \(=\) | \( 6724 = 2^{2} \cdot 41^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6724.bd (of order \(820\) and degree \(320\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1681 \) |
| Character field: | \(\Q(\zeta_{820})\) | ||
| Sturm bound: | \(1722\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6724, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 276480 | 45760 | 230720 |
| Cusp forms | 274560 | 45760 | 228800 |
| Eisenstein series | 1920 | 0 | 1920 |
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
\( S_{2}^{\mathrm{old}}(6724, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1681, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3362, [\chi])\)\(^{\oplus 2}\)