Defining parameters
| Level: | \( N \) | \(=\) | \( 15730 = 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 15730.fa (of order \(220\) and degree \(80\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1573 \) |
| Character field: | \(\Q(\zeta_{220})\) | ||
| Sturm bound: | \(5544\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(15730, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 222400 | 49280 | 173120 |
| Cusp forms | 221120 | 49280 | 171840 |
| Eisenstein series | 1280 | 0 | 1280 |
Decomposition of \(S_{2}^{\mathrm{new}}(15730, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(15730, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(15730, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(1573, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3146, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(7865, [\chi])\)\(^{\oplus 2}\)