Defining parameters
Level: | \( N \) | \(=\) | \( 201 = 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 201.e (of order \(3\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 67 \) |
Character field: | \(\Q(\zeta_{3})\) | ||
Newform subspaces: | \( 2 \) | ||
Sturm bound: | \(90\) | ||
Trace bound: | \(1\) | ||
Distinguishing \(T_p\): | \(2\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(201, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 140 | 68 | 72 |
Cusp forms | 132 | 68 | 64 |
Eisenstein series | 8 | 0 | 8 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(201, [\chi])\) into newform subspaces
Label | Dim | $A$ | Field | CM | Traces | $q$-expansion | |||
---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | ||||||
201.4.e.a | $32$ | $11.859$ | None | \(2\) | \(96\) | \(4\) | \(-14\) | ||
201.4.e.b | $36$ | $11.859$ | None | \(2\) | \(-108\) | \(-4\) | \(22\) |
Decomposition of \(S_{4}^{\mathrm{old}}(201, [\chi])\) into lower level spaces
\( S_{4}^{\mathrm{old}}(201, [\chi]) \cong \) \(S_{4}^{\mathrm{new}}(67, [\chi])\)\(^{\oplus 2}\)