Defining parameters
Level: | \( N \) | \(=\) | \( 6864 = 2^{4} \cdot 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6864.y (of order \(2\) and degree \(1\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 104 \) |
Character field: | \(\Q\) | ||
Newform subspaces: | \( 0 \) | ||
Sturm bound: | \(2688\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6864, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1360 | 0 | 1360 |
Cusp forms | 1328 | 0 | 1328 |
Eisenstein series | 32 | 0 | 32 |
Decomposition of \(S_{2}^{\mathrm{old}}(6864, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6864, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(104, [\chi])\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(312, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1144, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3432, [\chi])\)\(^{\oplus 2}\)