Defining parameters
| Level: | \( N \) | \(=\) | \( 7938 = 2 \cdot 3^{4} \cdot 7^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 7938.cj (of order \(54\) and degree \(18\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 567 \) |
| Character field: | \(\Q(\zeta_{54})\) | ||
| Sturm bound: | \(3024\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7938, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 27504 | 6480 | 21024 |
| Cusp forms | 26928 | 6480 | 20448 |
| Eisenstein series | 576 | 0 | 576 |
Decomposition of \(S_{2}^{\mathrm{new}}(7938, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(7938, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(7938, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(567, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1134, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3969, [\chi])\)\(^{\oplus 2}\)