Defining parameters
| Level: | \( N \) | \(=\) | \( 6026 = 2 \cdot 23 \cdot 131 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6026.j (of order \(13\) and degree \(12\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 131 \) |
| Character field: | \(\Q(\zeta_{13})\) | ||
| Sturm bound: | \(1584\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6026, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 9552 | 2904 | 6648 |
| Cusp forms | 9456 | 2904 | 6552 |
| Eisenstein series | 96 | 0 | 96 |
Decomposition of \(S_{2}^{\mathrm{new}}(6026, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6026, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6026, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(131, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(262, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3013, [\chi])\)\(^{\oplus 2}\)