Defining parameters
| Level: | \( N \) | \(=\) | \( 4016 = 2^{4} \cdot 251 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4016.y (of order \(25\) and degree \(20\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 251 \) |
| Character field: | \(\Q(\zeta_{25})\) | ||
| Sturm bound: | \(1008\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4016, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 10200 | 2540 | 7660 |
| Cusp forms | 9960 | 2500 | 7460 |
| Eisenstein series | 240 | 40 | 200 |
Decomposition of \(S_{2}^{\mathrm{new}}(4016, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4016, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4016, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(251, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(502, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1004, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2008, [\chi])\)\(^{\oplus 2}\)