Defining parameters
Level: | \( N \) | = | \( 29 \) |
Weight: | \( k \) | = | \( 12 \) |
Nonzero newspaces: | \( 4 \) | ||
Newform subspaces: | \( 5 \) | ||
Sturm bound: | \(840\) | ||
Trace bound: | \(1\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{12}(\Gamma_1(29))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 399 | 395 | 4 |
Cusp forms | 371 | 369 | 2 |
Eisenstein series | 28 | 26 | 2 |
Trace form
Decomposition of \(S_{12}^{\mathrm{new}}(\Gamma_1(29))\)
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 available newforms together with their dimension.
Decomposition of \(S_{12}^{\mathrm{old}}(\Gamma_1(29))\) into lower level spaces
\( S_{12}^{\mathrm{old}}(\Gamma_1(29)) \cong \) \(S_{12}^{\mathrm{new}}(\Gamma_1(1))\)\(^{\oplus 2}\)