Defining parameters
Level: | \( N \) | \(=\) | \( 1344 = 2^{6} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1344.i (of order \(2\) and degree \(1\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 168 \) |
Character field: | \(\Q\) | ||
Newform subspaces: | \( 7 \) | ||
Sturm bound: | \(512\) | ||
Trace bound: | \(21\) | ||
Distinguishing \(T_p\): | \(5\), \(13\), \(19\), \(29\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(1344, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 280 | 64 | 216 |
Cusp forms | 232 | 64 | 168 |
Eisenstein series | 48 | 0 | 48 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(1344, [\chi])\) into newform subspaces
Decomposition of \(S_{2}^{\mathrm{old}}(1344, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(1344, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(168, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(672, [\chi])\)\(^{\oplus 2}\)