Defining parameters
Level: | \( N \) | \(=\) | \( 6069 = 3 \cdot 7 \cdot 17^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6069.bu (of order \(48\) and degree \(16\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 357 \) |
Character field: | \(\Q(\zeta_{48})\) | ||
Sturm bound: | \(1632\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6069, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 13632 | 11968 | 1664 |
Cusp forms | 12480 | 11072 | 1408 |
Eisenstein series | 1152 | 896 | 256 |
Decomposition of \(S_{2}^{\mathrm{new}}(6069, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6069, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6069, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(357, [\chi])\)\(^{\oplus 2}\)