Defining parameters
Level: | \( N \) | = | \( 833 = 7^{2} \cdot 17 \) |
Weight: | \( k \) | = | \( 4 \) |
Nonzero newspaces: | \( 20 \) | ||
Sturm bound: | \(225792\) | ||
Trace bound: | \(2\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(\Gamma_1(833))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 85632 | 81414 | 4218 |
Cusp forms | 83712 | 79960 | 3752 |
Eisenstein series | 1920 | 1454 | 466 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(\Gamma_1(833))\)
We only show spaces with even parity, since no modular forms exist when this condition is not satisfied. Within each space \( S_k^{\mathrm{new}}(N, \chi) \) we list the newforms together with their dimension.
"n/a" means that newforms for that character have not been added to the database yet
Decomposition of \(S_{4}^{\mathrm{old}}(\Gamma_1(833))\) into lower level spaces
\( S_{4}^{\mathrm{old}}(\Gamma_1(833)) \cong \) \(S_{4}^{\mathrm{new}}(\Gamma_1(7))\)\(^{\oplus 4}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(17))\)\(^{\oplus 3}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(49))\)\(^{\oplus 2}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(119))\)\(^{\oplus 2}\)