Defining parameters
| Level: | \( N \) | \(=\) | \( 2352 = 2^{4} \cdot 3 \cdot 7^{2} \) |
| Weight: | \( k \) | \(=\) | \( 3 \) |
| Character orbit: | \([\chi]\) | \(=\) | 2352.dj (of order \(42\) and degree \(12\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 588 \) |
| Character field: | \(\Q(\zeta_{42})\) | ||
| Sturm bound: | \(1344\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{3}(2352, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 10896 | 2688 | 8208 |
| Cusp forms | 10608 | 2688 | 7920 |
| Eisenstein series | 288 | 0 | 288 |
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
\( S_{3}^{\mathrm{old}}(2352, [\chi]) \cong \) \(S_{3}^{\mathrm{new}}(588, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{3}^{\mathrm{new}}(1176, [\chi])\)\(^{\oplus 2}\)