Defining parameters
Level: | \( N \) | \(=\) | \( 8470 = 2 \cdot 5 \cdot 7 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8470.do (of order \(660\) and degree \(160\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 4235 \) |
Character field: | \(\Q(\zeta_{660})\) | ||
Sturm bound: | \(3168\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8470, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 254720 | 84480 | 170240 |
Cusp forms | 252160 | 84480 | 167680 |
Eisenstein series | 2560 | 0 | 2560 |
Decomposition of \(S_{2}^{\mathrm{new}}(8470, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8470, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8470, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(4235, [\chi])\)\(^{\oplus 2}\)