Defining parameters
Level: | \( N \) | \(=\) | \( 23 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 23.a (trivial) |
Character field: | \(\Q\) | ||
Newform subspaces: | \( 2 \) | ||
Sturm bound: | \(12\) | ||
Trace bound: | \(1\) | ||
Distinguishing \(T_p\): | \(2\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{6}(\Gamma_0(23))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 11 | 9 | 2 |
Cusp forms | 9 | 9 | 0 |
Eisenstein series | 2 | 0 | 2 |
The following table gives the dimensions of the cuspidal new subspaces with specified eigenvalues for the Atkin-Lehner operators and the Fricke involution.
\(23\) | Dim |
---|---|
\(+\) | \(3\) |
\(-\) | \(6\) |
Trace form
Decomposition of \(S_{6}^{\mathrm{new}}(\Gamma_0(23))\) into newform subspaces
Label | Dim | $A$ | Field | CM | Traces | A-L signs | $q$-expansion | ||||
---|---|---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | 23 | |||||||
23.6.a.a | $3$ | $3.689$ | 3.3.7925.1 | None | \(-4\) | \(-20\) | \(-58\) | \(-282\) | $+$ | \(q+(-1+\beta _{1})q^{2}+(-7-2\beta _{1}-\beta _{2})q^{3}+\cdots\) | |
23.6.a.b | $6$ | $3.689$ | \(\mathbb{Q}[x]/(x^{6} - \cdots)\) | None | \(4\) | \(16\) | \(42\) | \(300\) | $-$ | \(q+(1-\beta _{1})q^{2}+(3-\beta _{1}+\beta _{4})q^{3}+(19+\cdots)q^{4}+\cdots\) |