Defining parameters
Level: | \( N \) | \(=\) | \( 6600 = 2^{3} \cdot 3 \cdot 5^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6600.kt (of order \(20\) and degree \(8\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 220 \) |
Character field: | \(\Q(\zeta_{20})\) | ||
Newform subspaces: | \( 0 \) | ||
Sturm bound: | \(2880\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6600, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 11904 | 0 | 11904 |
Cusp forms | 11136 | 0 | 11136 |
Eisenstein series | 768 | 0 | 768 |
Decomposition of \(S_{2}^{\mathrm{old}}(6600, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6600, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(220, [\chi])\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(660, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1100, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3300, [\chi])\)\(^{\oplus 2}\)