Defining parameters
Level: | \( N \) | \(=\) | \( 224 = 2^{5} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 224.l (of order \(4\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 112 \) |
Character field: | \(\Q(i)\) | ||
Newform subspaces: | \( 0 \) | ||
Sturm bound: | \(96\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{3}(224, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 136 | 0 | 136 |
Cusp forms | 120 | 0 | 120 |
Eisenstein series | 16 | 0 | 16 |
Decomposition of \(S_{3}^{\mathrm{old}}(224, [\chi])\) into lower level spaces
\( S_{3}^{\mathrm{old}}(224, [\chi]) \cong \) \(S_{3}^{\mathrm{new}}(112, [\chi])\)\(^{\oplus 2}\)