Defining parameters
Level: | \( N \) | \(=\) | \( 1849 = 43^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 1849.a (trivial) |
Character field: | \(\Q\) | ||
Newform subspaces: | \( 13 \) | ||
Sturm bound: | \(630\) | ||
Trace bound: | \(2\) | ||
Distinguishing \(T_p\): | \(2\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(\Gamma_0(1849))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 495 | 472 | 23 |
Cusp forms | 451 | 431 | 20 |
Eisenstein series | 44 | 41 | 3 |
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 |
---|---|
\(+\) | \(221\) |
\(-\) | \(210\) |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(\Gamma_0(1849))\) into newform subspaces
Decomposition of \(S_{4}^{\mathrm{old}}(\Gamma_0(1849))\) into lower level spaces
\( S_{4}^{\mathrm{old}}(\Gamma_0(1849)) \cong \) \(S_{4}^{\mathrm{new}}(\Gamma_0(43))\)\(^{\oplus 2}\)