Defining parameters
Level: | \( N \) | \(=\) | \( 1849 = 43^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1849.a (trivial) |
Character field: | \(\Q\) | ||
Newform subspaces: | \( 18 \) | ||
Sturm bound: | \(315\) | ||
Trace bound: | \(4\) | ||
Distinguishing \(T_p\): | \(2\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_0(1849))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 179 | 171 | 8 |
Cusp forms | 136 | 130 | 6 |
Eisenstein series | 43 | 41 | 2 |
The following table gives the dimensions of the cuspidal new subspaces with specified eigenvalues for the Atkin-Lehner operators and the Fricke involution.
\(43\) | Dim |
---|---|
\(+\) | \(60\) |
\(-\) | \(70\) |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_0(1849))\) into newform subspaces
Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_0(1849))\) into lower level spaces
\( S_{2}^{\mathrm{old}}(\Gamma_0(1849)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_0(43))\)\(^{\oplus 2}\)