Defining parameters
Level: | \( N \) | = | \( 1075 = 5^{2} \cdot 43 \) |
Weight: | \( k \) | = | \( 4 \) |
Nonzero newspaces: | \( 24 \) | ||
Sturm bound: | \(369600\) | ||
Trace bound: | \(4\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(\Gamma_1(1075))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 139776 | 128444 | 11332 |
Cusp forms | 137424 | 126764 | 10660 |
Eisenstein series | 2352 | 1680 | 672 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(\Gamma_1(1075))\)
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 \(S_{4}^{\mathrm{old}}(\Gamma_1(1075))\) into lower level spaces
\( S_{4}^{\mathrm{old}}(\Gamma_1(1075)) \cong \) \(S_{4}^{\mathrm{new}}(\Gamma_1(5))\)\(^{\oplus 4}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(25))\)\(^{\oplus 2}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(43))\)\(^{\oplus 3}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(215))\)\(^{\oplus 2}\)