Defining parameters
| Level: | \( N \) | \(=\) | \( 2028 = 2^{2} \cdot 3 \cdot 13^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 2028.bi (of order \(52\) and degree \(24\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 507 \) |
| Character field: | \(\Q(\zeta_{52})\) | ||
| Sturm bound: | \(728\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(2028, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 8880 | 1440 | 7440 |
| Cusp forms | 8592 | 1440 | 7152 |
| Eisenstein series | 288 | 0 | 288 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(2028, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(2028, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(2028, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(507, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1014, [\chi])\)\(^{\oplus 2}\)