Defining parameters
Level: | \( N \) | \(=\) | \( 9016 = 2^{3} \cdot 7^{2} \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 9016.dm (of order \(66\) and degree \(20\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 644 \) |
Character field: | \(\Q(\zeta_{66})\) | ||
Newform subspaces: | \( 0 \) | ||
Sturm bound: | \(2688\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9016, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 27520 | 0 | 27520 |
Cusp forms | 26240 | 0 | 26240 |
Eisenstein series | 1280 | 0 | 1280 |
Decomposition of \(S_{2}^{\mathrm{old}}(9016, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(9016, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(644, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1288, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4508, [\chi])\)\(^{\oplus 2}\)