Defining parameters
Level: | \( N \) | = | \( 154 = 2 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | = | \( 4 \) |
Nonzero newspaces: | \( 8 \) | ||
Newform subspaces: | \( 25 \) | ||
Sturm bound: | \(5760\) | ||
Trace bound: | \(4\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(\Gamma_1(154))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 2280 | 678 | 1602 |
Cusp forms | 2040 | 678 | 1362 |
Eisenstein series | 240 | 0 | 240 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(\Gamma_1(154))\)
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 \(S_{4}^{\mathrm{old}}(\Gamma_1(154))\) into lower level spaces
\( S_{4}^{\mathrm{old}}(\Gamma_1(154)) \cong \) \(S_{4}^{\mathrm{new}}(\Gamma_1(7))\)\(^{\oplus 4}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(11))\)\(^{\oplus 4}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(14))\)\(^{\oplus 2}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(22))\)\(^{\oplus 2}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(77))\)\(^{\oplus 2}\)