Defining parameters
Level: | \( N \) | \(=\) | \( 2736 = 2^{4} \cdot 3^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 2736.cw (of order \(6\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 72 \) |
Character field: | \(\Q(\zeta_{6})\) | ||
Newform subspaces: | \( 0 \) | ||
Sturm bound: | \(1440\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{3}(2736, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1936 | 0 | 1936 |
Cusp forms | 1904 | 0 | 1904 |
Eisenstein series | 32 | 0 | 32 |
Decomposition of \(S_{3}^{\mathrm{old}}(2736, [\chi])\) into lower level spaces
\( S_{3}^{\mathrm{old}}(2736, [\chi]) \cong \) \(S_{3}^{\mathrm{new}}(72, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{3}^{\mathrm{new}}(1368, [\chi])\)\(^{\oplus 2}\)