Defining parameters
| Level: | \( N \) | \(=\) | \( 6015 = 3 \cdot 5 \cdot 401 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6015.bo (of order \(16\) and degree \(8\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2005 \) |
| Character field: | \(\Q(\zeta_{16})\) | ||
| Sturm bound: | \(1608\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6015, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 6464 | 3216 | 3248 |
| Cusp forms | 6400 | 3216 | 3184 |
| Eisenstein series | 64 | 0 | 64 |
Decomposition of \(S_{2}^{\mathrm{new}}(6015, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6015, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6015, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2005, [\chi])\)\(^{\oplus 2}\)