Defining parameters
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.n (of order \(6\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 72 \) |
Character field: | \(\Q(\zeta_{6})\) | ||
Newform subspaces: | \( 0 \) | ||
Sturm bound: | \(168\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{7}(144, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 296 | 0 | 296 |
Cusp forms | 280 | 0 | 280 |
Eisenstein series | 16 | 0 | 16 |
Decomposition of \(S_{7}^{\mathrm{old}}(144, [\chi])\) into lower level spaces
\( S_{7}^{\mathrm{old}}(144, [\chi]) \cong \) \(S_{7}^{\mathrm{new}}(72, [\chi])\)\(^{\oplus 2}\)