Defining parameters
Level: | \( N \) | \(=\) | \( 800 = 2^{5} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 800.o (of order \(4\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 40 \) |
Character field: | \(\Q(i)\) | ||
Sturm bound: | \(720\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{6}(800, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1248 | 184 | 1064 |
Cusp forms | 1152 | 176 | 976 |
Eisenstein series | 96 | 8 | 88 |
Trace form
Decomposition of \(S_{6}^{\mathrm{new}}(800, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{6}^{\mathrm{old}}(800, [\chi])\) into lower level spaces
\( S_{6}^{\mathrm{old}}(800, [\chi]) \cong \) \(S_{6}^{\mathrm{new}}(40, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(160, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(200, [\chi])\)\(^{\oplus 3}\)