Defining parameters
| Level: | \( N \) | \(=\) | \( 5577 = 3 \cdot 11 \cdot 13^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5577.bk (of order \(20\) and degree \(8\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 143 \) |
| Character field: | \(\Q(\zeta_{20})\) | ||
| Sturm bound: | \(1456\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5577, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 6048 | 2464 | 3584 |
| Cusp forms | 5600 | 2464 | 3136 |
| Eisenstein series | 448 | 0 | 448 |
Decomposition of \(S_{2}^{\mathrm{new}}(5577, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5577, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5577, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(143, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(429, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1859, [\chi])\)\(^{\oplus 2}\)