Defining parameters
| Level: | \( N \) | \(=\) | \( 4024 = 2^{3} \cdot 503 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4024.p (of order \(502\) and degree \(250\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2012 \) |
| Character field: | \(\Q(\zeta_{502})\) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(1008\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4024, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 127000 | 0 | 127000 |
| Cusp forms | 125000 | 0 | 125000 |
| Eisenstein series | 2000 | 0 | 2000 |
Decomposition of \(S_{2}^{\mathrm{old}}(4024, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4024, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2012, [\chi])\)\(^{\oplus 2}\)