Defining parameters
Level: | \( N \) | \(=\) | \( 2288 = 2^{4} \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 2288.co (of order \(10\) and degree \(4\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1144 \) |
Character field: | \(\Q(\zeta_{10})\) | ||
Newform subspaces: | \( 0 \) | ||
Sturm bound: | \(672\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(2288, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1376 | 0 | 1376 |
Cusp forms | 1312 | 0 | 1312 |
Eisenstein series | 64 | 0 | 64 |
Decomposition of \(S_{2}^{\mathrm{old}}(2288, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(2288, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(1144, [\chi])\)\(^{\oplus 2}\)