Defining parameters
Level: | \( N \) | \(=\) | \( 272 = 2^{4} \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 272.ba (of order \(8\) and degree \(4\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 136 \) |
Character field: | \(\Q(\zeta_{8})\) | ||
Newform subspaces: | \( 0 \) | ||
Sturm bound: | \(360\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{10}(272, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1312 | 0 | 1312 |
Cusp forms | 1280 | 0 | 1280 |
Eisenstein series | 32 | 0 | 32 |
Decomposition of \(S_{10}^{\mathrm{old}}(272, [\chi])\) into lower level spaces
\( S_{10}^{\mathrm{old}}(272, [\chi]) \cong \) \(S_{10}^{\mathrm{new}}(136, [\chi])\)\(^{\oplus 2}\)