Defining parameters
| Level: | \( N \) | \(=\) | \( 6790 = 2 \cdot 5 \cdot 7 \cdot 97 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6790.ez (of order \(24\) and degree \(8\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 97 \) |
| Character field: | \(\Q(\zeta_{24})\) | ||
| Sturm bound: | \(2352\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6790, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 9472 | 1568 | 7904 |
| Cusp forms | 9344 | 1568 | 7776 |
| Eisenstein series | 128 | 0 | 128 |
Decomposition of \(S_{2}^{\mathrm{new}}(6790, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6790, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6790, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(97, [\chi])\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(194, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(485, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(679, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(970, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1358, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3395, [\chi])\)\(^{\oplus 2}\)