Defining parameters
Level: | \( N \) | = | \( 152 = 2^{3} \cdot 19 \) |
Weight: | \( k \) | = | \( 3 \) |
Nonzero newspaces: | \( 9 \) | ||
Newform subspaces: | \( 14 \) | ||
Sturm bound: | \(4320\) | ||
Trace bound: | \(3\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{3}(\Gamma_1(152))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1548 | 840 | 708 |
Cusp forms | 1332 | 772 | 560 |
Eisenstein series | 216 | 68 | 148 |
Trace form
Decomposition of \(S_{3}^{\mathrm{new}}(\Gamma_1(152))\)
We only show spaces with odd parity, since no modular forms exist when this condition is not satisfied. Within each space \( S_k^{\mathrm{new}}(N, \chi) \) we list available newforms together with their dimension.
Decomposition of \(S_{3}^{\mathrm{old}}(\Gamma_1(152))\) into lower level spaces
\( S_{3}^{\mathrm{old}}(\Gamma_1(152)) \cong \) \(S_{3}^{\mathrm{new}}(\Gamma_1(8))\)\(^{\oplus 2}\)\(\oplus\)\(S_{3}^{\mathrm{new}}(\Gamma_1(19))\)\(^{\oplus 4}\)\(\oplus\)\(S_{3}^{\mathrm{new}}(\Gamma_1(38))\)\(^{\oplus 3}\)\(\oplus\)\(S_{3}^{\mathrm{new}}(\Gamma_1(76))\)\(^{\oplus 2}\)