Defining parameters
Level: | \( N \) | \(=\) | \( 2352 = 2^{4} \cdot 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 2352.cu (of order \(28\) and degree \(12\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 784 \) |
Character field: | \(\Q(\zeta_{28})\) | ||
Sturm bound: | \(1344\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{3}(2352, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 10800 | 5376 | 5424 |
Cusp forms | 10704 | 5376 | 5328 |
Eisenstein series | 96 | 0 | 96 |
Trace form
Decomposition of \(S_{3}^{\mathrm{new}}(2352, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{3}^{\mathrm{old}}(2352, [\chi])\) into lower level spaces
\( S_{3}^{\mathrm{old}}(2352, [\chi]) \cong \) \(S_{3}^{\mathrm{new}}(784, [\chi])\)\(^{\oplus 2}\)