Defining parameters
Level: | \( N \) | = | \( 121 = 11^{2} \) |
Weight: | \( k \) | = | \( 3 \) |
Nonzero newspaces: | \( 4 \) | ||
Newform subspaces: | \( 11 \) | ||
Sturm bound: | \(3630\) | ||
Trace bound: | \(1\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{3}(\Gamma_1(121))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1290 | 1260 | 30 |
Cusp forms | 1130 | 1120 | 10 |
Eisenstein series | 160 | 140 | 20 |
Trace form
Decomposition of \(S_{3}^{\mathrm{new}}(\Gamma_1(121))\)
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 the newforms together with their dimension.
Decomposition of \(S_{3}^{\mathrm{old}}(\Gamma_1(121))\) into lower level spaces
\( S_{3}^{\mathrm{old}}(\Gamma_1(121)) \cong \) \(S_{3}^{\mathrm{new}}(\Gamma_1(11))\)\(^{\oplus 2}\)