Defining parameters
Level: | \( N \) | \(=\) | \( 667 = 23 \cdot 29 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 667.j (of order \(14\) and degree \(6\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 29 \) |
Character field: | \(\Q(\zeta_{14})\) | ||
Newform subspaces: | \( 2 \) | ||
Sturm bound: | \(120\) | ||
Trace bound: | \(1\) | ||
Distinguishing \(T_p\): | \(2\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(667, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 372 | 324 | 48 |
Cusp forms | 348 | 324 | 24 |
Eisenstein series | 24 | 0 | 24 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(667, [\chi])\) into newform subspaces
Label | Dim | $A$ | Field | CM | Traces | $q$-expansion | |||
---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | ||||||
667.2.j.a | $144$ | $5.326$ | None | \(0\) | \(0\) | \(-6\) | \(14\) | ||
667.2.j.b | $180$ | $5.326$ | None | \(0\) | \(0\) | \(2\) | \(-6\) |
Decomposition of \(S_{2}^{\mathrm{old}}(667, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(667, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(29, [\chi])\)\(^{\oplus 2}\)