Defining parameters
| Level: | \( N \) | \(=\) | \( 6044 = 2^{2} \cdot 1511 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6044.i (of order \(151\) and degree \(150\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1511 \) |
| Character field: | \(\Q(\zeta_{151})\) | ||
| Sturm bound: | \(1512\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6044, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 113850 | 18900 | 94950 |
| Cusp forms | 112950 | 18900 | 94050 |
| Eisenstein series | 900 | 0 | 900 |
Decomposition of \(S_{2}^{\mathrm{new}}(6044, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6044, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6044, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1511, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3022, [\chi])\)\(^{\oplus 2}\)