Defining parameters
Level: | \( N \) | \(=\) | \( 7728 = 2^{4} \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 7728.gn (of order \(66\) and degree \(20\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1288 \) |
Character field: | \(\Q(\zeta_{66})\) | ||
Newform subspaces: | \( 0 \) | ||
Sturm bound: | \(3072\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7728, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 31040 | 0 | 31040 |
Cusp forms | 30400 | 0 | 30400 |
Eisenstein series | 640 | 0 | 640 |
Decomposition of \(S_{2}^{\mathrm{old}}(7728, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(7728, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1288, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2576, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3864, [\chi])\)\(^{\oplus 2}\)