Defining parameters
| Level: | \( N \) | \(=\) | \( 2850 = 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 2850.bp (of order \(20\) and degree \(8\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 475 \) |
| Character field: | \(\Q(\zeta_{20})\) | ||
| Sturm bound: | \(1200\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(2850, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 4864 | 800 | 4064 |
| Cusp forms | 4736 | 800 | 3936 |
| Eisenstein series | 128 | 0 | 128 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(2850, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(2850, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(2850, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(475, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(950, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1425, [\chi])\)\(^{\oplus 2}\)