Defining parameters
| Level: | \( N \) | \(=\) | \( 8015 = 5 \cdot 7 \cdot 229 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8015.ee (of order \(57\) and degree \(36\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 229 \) |
| Character field: | \(\Q(\zeta_{57})\) | ||
| Sturm bound: | \(1840\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8015, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 33264 | 16560 | 16704 |
| Cusp forms | 32976 | 16560 | 16416 |
| Eisenstein series | 288 | 0 | 288 |
Decomposition of \(S_{2}^{\mathrm{new}}(8015, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8015, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8015, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(229, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1145, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1603, [\chi])\)\(^{\oplus 2}\)