Defining parameters
Level: | \( N \) | = | \( 206 = 2 \cdot 103 \) |
Weight: | \( k \) | = | \( 2 \) |
Nonzero newspaces: | \( 4 \) | ||
Newform subspaces: | \( 12 \) | ||
Sturm bound: | \(5304\) | ||
Trace bound: | \(1\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(206))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1428 | 441 | 987 |
Cusp forms | 1225 | 441 | 784 |
Eisenstein series | 203 | 0 | 203 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(206))\)
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.
Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(206))\) into lower level spaces
\( S_{2}^{\mathrm{old}}(\Gamma_1(206)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(103))\)\(^{\oplus 2}\)