Defining parameters
| Level: | \( N \) | \(=\) | \( 2200 = 2^{3} \cdot 5^{2} \cdot 11 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 2200.fc (of order \(20\) and degree \(8\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 55 \) |
| Character field: | \(\Q(\zeta_{20})\) | ||
| Sturm bound: | \(720\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(2200, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 3072 | 432 | 2640 |
| Cusp forms | 2688 | 432 | 2256 |
| Eisenstein series | 384 | 0 | 384 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(2200, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(2200, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(2200, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(55, [\chi])\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(110, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(220, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(275, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(440, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(550, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1100, [\chi])\)\(^{\oplus 2}\)