Defining parameters
Level: | \( N \) | = | \( 266 = 2 \cdot 7 \cdot 19 \) |
Weight: | \( k \) | = | \( 4 \) |
Nonzero newspaces: | \( 16 \) | ||
Sturm bound: | \(17280\) | ||
Trace bound: | \(11\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(\Gamma_1(266))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 6696 | 2058 | 4638 |
Cusp forms | 6264 | 2058 | 4206 |
Eisenstein series | 432 | 0 | 432 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(\Gamma_1(266))\)
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.
"n/a" means that newforms for that character have not been added to the database yet
Decomposition of \(S_{4}^{\mathrm{old}}(\Gamma_1(266))\) into lower level spaces
\( S_{4}^{\mathrm{old}}(\Gamma_1(266)) \cong \) \(S_{4}^{\mathrm{new}}(\Gamma_1(7))\)\(^{\oplus 4}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(14))\)\(^{\oplus 2}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(19))\)\(^{\oplus 4}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(38))\)\(^{\oplus 2}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(133))\)\(^{\oplus 2}\)