Defining parameters
Level: | \( N \) | \(=\) | \( 1083 = 3 \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 1083.a (trivial) |
Character field: | \(\Q\) | ||
Newform subspaces: | \( 20 \) | ||
Sturm bound: | \(506\) | ||
Trace bound: | \(4\) | ||
Distinguishing \(T_p\): | \(2\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(\Gamma_0(1083))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 400 | 170 | 230 |
Cusp forms | 360 | 170 | 190 |
Eisenstein series | 40 | 0 | 40 |
The following table gives the dimensions of the cuspidal new subspaces with specified eigenvalues for the Atkin-Lehner operators and the Fricke involution.
\(3\) | \(19\) | Fricke | Dim |
---|---|---|---|
\(+\) | \(+\) | $+$ | \(43\) |
\(+\) | \(-\) | $-$ | \(42\) |
\(-\) | \(+\) | $-$ | \(37\) |
\(-\) | \(-\) | $+$ | \(48\) |
Plus space | \(+\) | \(91\) | |
Minus space | \(-\) | \(79\) |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(\Gamma_0(1083))\) into newform subspaces
Decomposition of \(S_{4}^{\mathrm{old}}(\Gamma_0(1083))\) into lower level spaces
\( S_{4}^{\mathrm{old}}(\Gamma_0(1083)) \cong \) \(S_{4}^{\mathrm{new}}(\Gamma_0(19))\)\(^{\oplus 4}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_0(57))\)\(^{\oplus 2}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_0(361))\)\(^{\oplus 2}\)