Defining parameters
Level: | \( N \) | \(=\) | \( 9295 = 5 \cdot 11 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 9295.a (trivial) |
Character field: | \(\Q\) | ||
Newform subspaces: | \( 41 \) | ||
Sturm bound: | \(2184\) | ||
Trace bound: | \(6\) | ||
Distinguishing \(T_p\): | \(2\), \(3\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_0(9295))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1120 | 518 | 602 |
Cusp forms | 1065 | 518 | 547 |
Eisenstein series | 55 | 0 | 55 |
The following table gives the dimensions of the cuspidal new subspaces with specified eigenvalues for the Atkin-Lehner operators and the Fricke involution.
\(5\) | \(11\) | \(13\) | Fricke | Dim |
---|---|---|---|---|
\(+\) | \(+\) | \(+\) | $+$ | \(63\) |
\(+\) | \(+\) | \(-\) | $-$ | \(68\) |
\(+\) | \(-\) | \(+\) | $-$ | \(73\) |
\(+\) | \(-\) | \(-\) | $+$ | \(56\) |
\(-\) | \(+\) | \(+\) | $-$ | \(66\) |
\(-\) | \(+\) | \(-\) | $+$ | \(62\) |
\(-\) | \(-\) | \(+\) | $+$ | \(56\) |
\(-\) | \(-\) | \(-\) | $-$ | \(74\) |
Plus space | \(+\) | \(237\) | ||
Minus space | \(-\) | \(281\) |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_0(9295))\) into newform subspaces
Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_0(9295))\) into lower level spaces
\( S_{2}^{\mathrm{old}}(\Gamma_0(9295)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_0(11))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(55))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(65))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(143))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(169))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(715))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(845))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1859))\)\(^{\oplus 2}\)