Defining parameters
Level: | \( N \) | \(=\) | \( 9251 = 11 \cdot 29^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 9251.a (trivial) |
Character field: | \(\Q\) | ||
Newform subspaces: | \( 32 \) | ||
Sturm bound: | \(1740\) | ||
Trace bound: | \(3\) | ||
Distinguishing \(T_p\): | \(2\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_0(9251))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 900 | 676 | 224 |
Cusp forms | 841 | 676 | 165 |
Eisenstein series | 59 | 0 | 59 |
The following table gives the dimensions of the cuspidal new subspaces with specified eigenvalues for the Atkin-Lehner operators and the Fricke involution.
\(11\) | \(29\) | Fricke | Dim |
---|---|---|---|
\(+\) | \(+\) | $+$ | \(157\) |
\(+\) | \(-\) | $-$ | \(180\) |
\(-\) | \(+\) | $-$ | \(187\) |
\(-\) | \(-\) | $+$ | \(152\) |
Plus space | \(+\) | \(309\) | |
Minus space | \(-\) | \(367\) |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_0(9251))\) into newform subspaces
Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_0(9251))\) into lower level spaces
\( S_{2}^{\mathrm{old}}(\Gamma_0(9251)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_0(11))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(29))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(319))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(841))\)\(^{\oplus 2}\)