Defining parameters
Level: | \( N \) | = | \( 4067 = 7^{2} \cdot 83 \) |
Weight: | \( k \) | = | \( 2 \) |
Nonzero newspaces: | \( 16 \) | ||
Sturm bound: | \(2700096\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(4067))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 679944 | 651500 | 28444 |
Cusp forms | 670105 | 643644 | 26461 |
Eisenstein series | 9839 | 7856 | 1983 |
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(4067))\)
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 \(S_{2}^{\mathrm{old}}(\Gamma_1(4067))\) into lower level spaces
\( S_{2}^{\mathrm{old}}(\Gamma_1(4067)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(49))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(83))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(581))\)\(^{\oplus 2}\)