Defining parameters
| Level: | \( N \) | = | \( 6027 = 3 \cdot 7^{2} \cdot 41 \) |
| Weight: | \( k \) | = | \( 2 \) |
| Character orbit: | \([\chi]\) | = | 6027.df (of order \(60\) and degree \(16\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | = | \( 861 \) |
| Character field: | \(\Q(\zeta_{60})\) | ||
| Sturm bound: | \(1568\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6027, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 12800 | 9088 | 3712 |
| Cusp forms | 12288 | 8832 | 3456 |
| Eisenstein series | 512 | 256 | 256 |
Decomposition of \(S_{2}^{\mathrm{new}}(6027, [\chi])\) into irreducible Hecke orbits
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6027, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6027, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(861, [\chi])\)\(^{\oplus 2}\)