Defining parameters
| Level: | \( N \) | \(=\) | \( 8030 = 2 \cdot 5 \cdot 11 \cdot 73 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8030.cj (of order \(18\) and degree \(6\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 365 \) |
| Character field: | \(\Q(\zeta_{18})\) | ||
| Sturm bound: | \(2664\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8030, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 8040 | 2232 | 5808 |
| Cusp forms | 7944 | 2232 | 5712 |
| Eisenstein series | 96 | 0 | 96 |
Decomposition of \(S_{2}^{\mathrm{new}}(8030, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8030, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8030, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(365, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(730, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4015, [\chi])\)\(^{\oplus 2}\)