Defining parameters
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.m (of order \(20\) and degree \(8\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 55 \) |
Character field: | \(\Q(\zeta_{20})\) | ||
Sturm bound: | \(396\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{6}(605, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 2736 | 2224 | 512 |
Cusp forms | 2544 | 2096 | 448 |
Eisenstein series | 192 | 128 | 64 |
Trace form
Decomposition of \(S_{6}^{\mathrm{new}}(605, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{6}^{\mathrm{old}}(605, [\chi])\) into lower level spaces
\( S_{6}^{\mathrm{old}}(605, [\chi]) \cong \) \(S_{6}^{\mathrm{new}}(55, [\chi])\)\(^{\oplus 2}\)