Defining parameters
| Level: | \( N \) | \(=\) | \( 8046 = 2 \cdot 3^{3} \cdot 149 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8046.s (of order \(37\) and degree \(36\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 149 \) |
| Character field: | \(\Q(\zeta_{37})\) | ||
| Sturm bound: | \(2700\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8046, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 49032 | 7200 | 41832 |
| Cusp forms | 48168 | 7200 | 40968 |
| Eisenstein series | 864 | 0 | 864 |
Decomposition of \(S_{2}^{\mathrm{new}}(8046, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8046, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8046, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(149, [\chi])\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(298, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(447, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(894, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1341, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2682, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4023, [\chi])\)\(^{\oplus 2}\)