Defining parameters
| Level: | \( N \) | \(=\) | \( 6534 = 2 \cdot 3^{3} \cdot 11^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6534.ba (of order \(55\) and degree \(40\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 121 \) |
| Character field: | \(\Q(\zeta_{55})\) | ||
| Sturm bound: | \(2376\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6534, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 48000 | 7040 | 40960 |
| Cusp forms | 47040 | 7040 | 40000 |
| Eisenstein series | 960 | 0 | 960 |
Decomposition of \(S_{2}^{\mathrm{new}}(6534, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6534, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6534, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(121, [\chi])\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(242, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(363, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(726, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1089, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2178, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3267, [\chi])\)\(^{\oplus 2}\)