Defining parameters
| Level: | \( N \) | \(=\) | \( 6675 = 3 \cdot 5^{2} \cdot 89 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6675.bg (of order \(10\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 25 \) |
| Character field: | \(\Q(\zeta_{10})\) | ||
| Sturm bound: | \(1800\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6675, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 3616 | 1760 | 1856 |
| Cusp forms | 3584 | 1760 | 1824 |
| Eisenstein series | 32 | 0 | 32 |
Decomposition of \(S_{2}^{\mathrm{new}}(6675, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6675, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6675, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(25, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(75, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2225, [\chi])\)\(^{\oplus 2}\)