Defining parameters
| Level: | \( N \) | \(=\) | \( 9310 = 2 \cdot 5 \cdot 7^{2} \cdot 19 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 9310.eb (of order \(36\) and degree \(12\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 95 \) |
| Character field: | \(\Q(\zeta_{36})\) | ||
| Sturm bound: | \(3360\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9310, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 20544 | 4920 | 15624 |
| Cusp forms | 19776 | 4920 | 14856 |
| Eisenstein series | 768 | 0 | 768 |
Decomposition of \(S_{2}^{\mathrm{new}}(9310, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(9310, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(9310, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(95, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(190, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(665, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1330, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4655, [\chi])\)\(^{\oplus 2}\)