Defining parameters
| Level: | \( N \) | \(=\) | \( 1850 = 2 \cdot 5^{2} \cdot 37 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 1850.ba (of order \(18\) and degree \(6\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 185 \) |
| Character field: | \(\Q(\zeta_{18})\) | ||
| Sturm bound: | \(570\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(1850, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1776 | 336 | 1440 |
| Cusp forms | 1632 | 336 | 1296 |
| Eisenstein series | 144 | 0 | 144 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(1850, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(1850, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(1850, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(185, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(370, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(925, [\chi])\)\(^{\oplus 2}\)