Defining parameters
| Level: | \( N \) | \(=\) | \( 4012 = 2^{2} \cdot 17 \cdot 59 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4012.bb (of order \(58\) and degree \(28\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1003 \) |
| Character field: | \(\Q(\zeta_{58})\) | ||
| Sturm bound: | \(1080\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4012, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 15288 | 2520 | 12768 |
| Cusp forms | 14952 | 2520 | 12432 |
| Eisenstein series | 336 | 0 | 336 |
Decomposition of \(S_{2}^{\mathrm{new}}(4012, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4012, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4012, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1003, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2006, [\chi])\)\(^{\oplus 2}\)