Defining parameters
Level: | \( N \) | \(=\) | \( 304 = 2^{4} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 304.ba (of order \(18\) and degree \(6\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 152 \) |
Character field: | \(\Q(\zeta_{18})\) | ||
Newform subspaces: | \( 0 \) | ||
Sturm bound: | \(120\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{3}(304, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 504 | 0 | 504 |
Cusp forms | 456 | 0 | 456 |
Eisenstein series | 48 | 0 | 48 |
Decomposition of \(S_{3}^{\mathrm{old}}(304, [\chi])\) into lower level spaces
\( S_{3}^{\mathrm{old}}(304, [\chi]) \cong \) \(S_{3}^{\mathrm{new}}(152, [\chi])\)\(^{\oplus 2}\)