Defining parameters
| Level: | \( N \) | \(=\) | \( 4450 = 2 \cdot 5^{2} \cdot 89 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4450.bk (of order \(44\) and degree \(20\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 89 \) |
| Character field: | \(\Q(\zeta_{44})\) | ||
| Sturm bound: | \(1350\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4450, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 13760 | 2860 | 10900 |
| Cusp forms | 13280 | 2860 | 10420 |
| Eisenstein series | 480 | 0 | 480 |
Decomposition of \(S_{2}^{\mathrm{new}}(4450, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4450, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4450, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(89, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(178, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(445, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(890, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2225, [\chi])\)\(^{\oplus 2}\)