Defining parameters
| Level: | \( N \) | \(=\) | \( 7623 = 3^{2} \cdot 7 \cdot 11^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 7623.bg (of order \(6\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 77 \) |
| Character field: | \(\Q(\zeta_{6})\) | ||
| Sturm bound: | \(2112\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7623, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 2208 | 736 | 1472 |
| Cusp forms | 2016 | 704 | 1312 |
| Eisenstein series | 192 | 32 | 160 |
Decomposition of \(S_{2}^{\mathrm{new}}(7623, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(7623, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(7623, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(77, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(231, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(693, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(847, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2541, [\chi])\)\(^{\oplus 2}\)