Defining parameters
| Level: | \( N \) | \(=\) | \( 200 = 2^{3} \cdot 5^{2} \) |
| Weight: | \( k \) | \(=\) | \( 6 \) |
| Character orbit: | \([\chi]\) | \(=\) | 200.m (of order \(5\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 25 \) |
| Character field: | \(\Q(\zeta_{5})\) | ||
| Sturm bound: | \(180\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{6}(200, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 616 | 148 | 468 |
| Cusp forms | 584 | 148 | 436 |
| Eisenstein series | 32 | 0 | 32 |
Trace form
Decomposition of \(S_{6}^{\mathrm{new}}(200, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{6}^{\mathrm{old}}(200, [\chi])\) into lower level spaces
\( S_{6}^{\mathrm{old}}(200, [\chi]) \cong \) \(S_{6}^{\mathrm{new}}(25, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(50, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(100, [\chi])\)\(^{\oplus 2}\)