Defining parameters
Level: | \( N \) | = | \( 1005 = 3 \cdot 5 \cdot 67 \) |
Weight: | \( k \) | = | \( 2 \) |
Nonzero newspaces: | \( 24 \) | ||
Sturm bound: | \(143616\) | ||
Trace bound: | \(4\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(1005))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 36960 | 25063 | 11897 |
Cusp forms | 34849 | 24287 | 10562 |
Eisenstein series | 2111 | 776 | 1335 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(1005))\)
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.
"n/a" means that newforms for that character have not been added to the database yet
Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(1005))\) into lower level spaces
\( S_{2}^{\mathrm{old}}(\Gamma_1(1005)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(15))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(67))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(201))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(335))\)\(^{\oplus 2}\)