Defining parameters
Level: | \( N \) | \(=\) | \( 200 = 2^{3} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 14 \) |
Character orbit: | \([\chi]\) | \(=\) | 200.j (of order \(4\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 20 \) |
Character field: | \(\Q(i)\) | ||
Newform subspaces: | \( 0 \) | ||
Sturm bound: | \(420\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{14}(200, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 804 | 0 | 804 |
Cusp forms | 756 | 0 | 756 |
Eisenstein series | 48 | 0 | 48 |
Decomposition of \(S_{14}^{\mathrm{old}}(200, [\chi])\) into lower level spaces
\( S_{14}^{\mathrm{old}}(200, [\chi]) \simeq \) \(S_{14}^{\mathrm{new}}(20, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{14}^{\mathrm{new}}(40, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{14}^{\mathrm{new}}(100, [\chi])\)\(^{\oplus 2}\)