Defining parameters
Level: | \( N \) | \(=\) | \( 23 \) |
Weight: | \( k \) | \(=\) | \( 14 \) |
Character orbit: | \([\chi]\) | \(=\) | 23.a (trivial) |
Character field: | \(\Q\) | ||
Newform subspaces: | \( 2 \) | ||
Sturm bound: | \(28\) | ||
Trace bound: | \(1\) | ||
Distinguishing \(T_p\): | \(2\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{14}(\Gamma_0(23))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 27 | 25 | 2 |
Cusp forms | 25 | 25 | 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 |
---|---|
\(+\) | \(11\) |
\(-\) | \(14\) |
Trace form
Decomposition of \(S_{14}^{\mathrm{new}}(\Gamma_0(23))\) into newform subspaces
Label | Dim | $A$ | Field | CM | Traces | A-L signs | $q$-expansion | ||||
---|---|---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | 23 | |||||||
23.14.a.a | $11$ | $24.663$ | \(\mathbb{Q}[x]/(x^{11} - \cdots)\) | None | \(-64\) | \(-860\) | \(-10318\) | \(-430944\) | $+$ | \(q+(-6+\beta _{1})q^{2}+(-78-\beta _{1}-\beta _{2}+\cdots)q^{3}+\cdots\) | |
23.14.a.b | $14$ | $24.663$ | \(\mathbb{Q}[x]/(x^{14} - \cdots)\) | None | \(64\) | \(2056\) | \(52182\) | \(190602\) | $-$ | \(q+(5-\beta _{1})q^{2}+(148-2\beta _{1}+\beta _{2})q^{3}+\cdots\) |