Defining parameters
Level: | \( N \) | = | \( 946 = 2 \cdot 11 \cdot 43 \) |
Weight: | \( k \) | = | \( 2 \) |
Nonzero newspaces: | \( 16 \) | ||
Newform subspaces: | \( 70 \) | ||
Sturm bound: | \(110880\) | ||
Trace bound: | \(2\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(946))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 28560 | 9079 | 19481 |
Cusp forms | 26881 | 9079 | 17802 |
Eisenstein series | 1679 | 0 | 1679 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(946))\)
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 \(S_{2}^{\mathrm{old}}(\Gamma_1(946))\) into lower level spaces
\( S_{2}^{\mathrm{old}}(\Gamma_1(946)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(11))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(22))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(43))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(86))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(473))\)\(^{\oplus 2}\)