Defining parameters
| Level: | \( N \) | \(=\) | \( 4016 = 2^{4} \cdot 251 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4016.s (of order \(10\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1004 \) |
| Character field: | \(\Q(\zeta_{10})\) | ||
| Sturm bound: | \(1008\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4016, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 2040 | 504 | 1536 |
| Cusp forms | 1992 | 504 | 1488 |
| Eisenstein series | 48 | 0 | 48 |
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
\( S_{2}^{\mathrm{old}}(4016, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1004, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2008, [\chi])\)\(^{\oplus 2}\)