Defining parameters
Level: | \( N \) | \(=\) | \( 1344 = 2^{6} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 1344.bc (of order \(6\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 21 \) |
Character field: | \(\Q(\zeta_{6})\) | ||
Sturm bound: | \(1024\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(1344, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1584 | 392 | 1192 |
Cusp forms | 1488 | 376 | 1112 |
Eisenstein series | 96 | 16 | 80 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(1344, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{4}^{\mathrm{old}}(1344, [\chi])\) into lower level spaces
\( S_{4}^{\mathrm{old}}(1344, [\chi]) \cong \) \(S_{4}^{\mathrm{new}}(21, [\chi])\)\(^{\oplus 7}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(42, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(672, [\chi])\)\(^{\oplus 2}\)