Defining parameters
Level: | \( N \) | \(=\) | \( 91 = 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 91.q (of order \(6\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 13 \) |
Character field: | \(\Q(\zeta_{6})\) | ||
Newform subspaces: | \( 1 \) | ||
Sturm bound: | \(93\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{10}(91, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 172 | 124 | 48 |
Cusp forms | 164 | 124 | 40 |
Eisenstein series | 8 | 0 | 8 |
Trace form
Decomposition of \(S_{10}^{\mathrm{new}}(91, [\chi])\) into newform subspaces
Label | Dim | $A$ | Field | CM | Traces | $q$-expansion | |||
---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | ||||||
91.10.q.a | $124$ | $46.868$ | None | \(0\) | \(0\) | \(0\) | \(0\) |
Decomposition of \(S_{10}^{\mathrm{old}}(91, [\chi])\) into lower level spaces
\( S_{10}^{\mathrm{old}}(91, [\chi]) \cong \) \(S_{10}^{\mathrm{new}}(13, [\chi])\)\(^{\oplus 2}\)