Defining parameters
Level: | \( N \) | \(=\) | \( 92 = 2^{2} \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 92.e (of order \(11\) and degree \(10\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 23 \) |
Character field: | \(\Q(\zeta_{11})\) | ||
Newform subspaces: | \( 1 \) | ||
Sturm bound: | \(24\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(92, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 150 | 20 | 130 |
Cusp forms | 90 | 20 | 70 |
Eisenstein series | 60 | 0 | 60 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(92, [\chi])\) into newform subspaces
Label | Dim | $A$ | Field | CM | Traces | $q$-expansion | |||
---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | ||||||
92.2.e.a | $20$ | $0.735$ | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) | None | \(0\) | \(2\) | \(2\) | \(2\) | \(q+(1-\beta _{6}+\beta _{8}-\beta _{9}-\beta _{10}-\beta _{11}+\cdots)q^{3}+\cdots\) |
Decomposition of \(S_{2}^{\mathrm{old}}(92, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(92, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(23, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(46, [\chi])\)\(^{\oplus 2}\)