Defining parameters
| Level: | \( N \) | \(=\) | \( 4028 = 2^{2} \cdot 19 \cdot 53 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4028.bt (of order \(52\) and degree \(24\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 212 \) |
| Character field: | \(\Q(\zeta_{52})\) | ||
| Sturm bound: | \(1080\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4028, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 13056 | 11664 | 1392 |
| Cusp forms | 12864 | 11664 | 1200 |
| Eisenstein series | 192 | 0 | 192 |
Decomposition of \(S_{2}^{\mathrm{new}}(4028, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4028, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4028, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(212, [\chi])\)\(^{\oplus 2}\)