Defining parameters
| Level: | \( N \) | = | \( 354 = 2 \cdot 3 \cdot 59 \) |
| Weight: | \( k \) | = | \( 3 \) |
| Nonzero newspaces: | \( 4 \) | ||
| Newform subspaces: | \( 4 \) | ||
| Sturm bound: | \(20880\) | ||
| Trace bound: | \(1\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{3}(\Gamma_1(354))\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 7192 | 1740 | 5452 |
| Cusp forms | 6728 | 1740 | 4988 |
| Eisenstein series | 464 | 0 | 464 |
Trace form
Decomposition of \(S_{3}^{\mathrm{new}}(\Gamma_1(354))\)
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 \(S_{3}^{\mathrm{old}}(\Gamma_1(354))\) into lower level spaces
\( S_{3}^{\mathrm{old}}(\Gamma_1(354)) \cong \) \(S_{3}^{\mathrm{new}}(\Gamma_1(59))\)\(^{\oplus 4}\)\(\oplus\)\(S_{3}^{\mathrm{new}}(\Gamma_1(118))\)\(^{\oplus 2}\)\(\oplus\)\(S_{3}^{\mathrm{new}}(\Gamma_1(177))\)\(^{\oplus 2}\)