Defining parameters
Level: | \( N \) | \(=\) | \( 14 = 2 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 14.b (of order \(2\) and degree \(1\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 7 \) |
Character field: | \(\Q\) | ||
Newform subspaces: | \( 0 \) | ||
Sturm bound: | \(6\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{3}(14, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 6 | 0 | 6 |
Cusp forms | 2 | 0 | 2 |
Eisenstein series | 4 | 0 | 4 |
Decomposition of \(S_{3}^{\mathrm{old}}(14, [\chi])\) into lower level spaces
\( S_{3}^{\mathrm{old}}(14, [\chi]) \cong \) \(S_{3}^{\mathrm{new}}(7, [\chi])\)\(^{\oplus 2}\)