Defining parameters
| Level: | \( N \) | \(=\) | \( 4012 = 2^{2} \cdot 17 \cdot 59 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4012.bh (of order \(232\) and degree \(112\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 4012 \) |
| Character field: | \(\Q(\zeta_{232})\) | ||
| Sturm bound: | \(1080\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4012, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 60928 | 60928 | 0 |
| Cusp forms | 60032 | 60032 | 0 |
| Eisenstein series | 896 | 896 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(4012, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.