Defining parameters
| Level: | \( N \) | \(=\) | \( 8048 = 2^{4} \cdot 503 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8048.t (of order \(502\) and degree \(250\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2012 \) |
| Character field: | \(\Q(\zeta_{502})\) | ||
| Sturm bound: | \(2016\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8048, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 253500 | 63000 | 190500 |
| Cusp forms | 250500 | 63000 | 187500 |
| Eisenstein series | 3000 | 0 | 3000 |
Decomposition of \(S_{2}^{\mathrm{new}}(8048, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8048, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8048, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2012, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4024, [\chi])\)\(^{\oplus 2}\)