Defining parameters
Level: | \( N \) | \(=\) | \( 5819 = 11 \cdot 23^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 5819.a (trivial) |
Character field: | \(\Q\) | ||
Newform subspaces: | \( 21 \) | ||
Sturm bound: | \(1104\) | ||
Trace bound: | \(5\) | ||
Distinguishing \(T_p\): | \(2\), \(5\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_0(5819))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 576 | 422 | 154 |
Cusp forms | 529 | 422 | 107 |
Eisenstein series | 47 | 0 | 47 |
The following table gives the dimensions of the cuspidal new subspaces with specified eigenvalues for the Atkin-Lehner operators and the Fricke involution.
\(11\) | \(23\) | Fricke | Dim |
---|---|---|---|
\(+\) | \(+\) | $+$ | \(98\) |
\(+\) | \(-\) | $-$ | \(114\) |
\(-\) | \(+\) | $-$ | \(118\) |
\(-\) | \(-\) | $+$ | \(92\) |
Plus space | \(+\) | \(190\) | |
Minus space | \(-\) | \(232\) |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_0(5819))\) into newform subspaces
Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_0(5819))\) into lower level spaces
\( S_{2}^{\mathrm{old}}(\Gamma_0(5819)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_0(11))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(23))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(253))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(529))\)\(^{\oplus 2}\)