Defining parameters
Level: | \( N \) | \(=\) | \( 23 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 23.a (trivial) |
Character field: | \(\Q\) | ||
Newform subspaces: | \( 2 \) | ||
Sturm bound: | \(20\) | ||
Trace bound: | \(1\) | ||
Distinguishing \(T_p\): | \(2\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{10}(\Gamma_0(23))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 19 | 17 | 2 |
Cusp forms | 17 | 17 | 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 |
---|---|
\(+\) | \(7\) |
\(-\) | \(10\) |
Trace form
Decomposition of \(S_{10}^{\mathrm{new}}(\Gamma_0(23))\) into newform subspaces
Label | Dim | $A$ | Field | CM | Traces | A-L signs | $q$-expansion | ||||
---|---|---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | 23 | |||||||
23.10.a.a | $7$ | $11.846$ | \(\mathbb{Q}[x]/(x^{7} - \cdots)\) | None | \(0\) | \(-89\) | \(-2388\) | \(-9896\) | $+$ | \(q+\beta _{1}q^{2}+(-13-2\beta _{1}-\beta _{4})q^{3}+(220+\cdots)q^{4}+\cdots\) | |
23.10.a.b | $10$ | $11.846$ | \(\mathbb{Q}[x]/(x^{10} - \cdots)\) | None | \(32\) | \(235\) | \(112\) | \(1280\) | $-$ | \(q+(3+\beta _{1})q^{2}+(23+\beta _{1}+\beta _{3})q^{3}+(307+\cdots)q^{4}+\cdots\) |