Defining parameters
Level: | \( N \) | \(=\) | \( 354 = 2 \cdot 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 354.c (of order \(2\) and degree \(1\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 177 \) |
Character field: | \(\Q\) | ||
Newform subspaces: | \( 2 \) | ||
Sturm bound: | \(240\) | ||
Trace bound: | \(2\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(354, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 184 | 60 | 124 |
Cusp forms | 176 | 60 | 116 |
Eisenstein series | 8 | 0 | 8 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(354, [\chi])\) into newform subspaces
Label | Dim | $A$ | Field | CM | Traces | $q$-expansion | |||
---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | ||||||
354.4.c.a | $30$ | $20.887$ | None | \(-60\) | \(5\) | \(0\) | \(6\) | ||
354.4.c.b | $30$ | $20.887$ | None | \(60\) | \(5\) | \(0\) | \(6\) |
Decomposition of \(S_{4}^{\mathrm{old}}(354, [\chi])\) into lower level spaces
\( S_{4}^{\mathrm{old}}(354, [\chi]) \cong \)