Defining parameters
Level: | \( N \) | = | \( 8027 = 23 \cdot 349 \) |
Weight: | \( k \) | = | \( 2 \) |
Nonzero newspaces: | \( 24 \) | ||
Sturm bound: | \(10718400\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(8027))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 2687256 | 2676693 | 10563 |
Cusp forms | 2671945 | 2662117 | 9828 |
Eisenstein series | 15311 | 14576 | 735 |
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(8027))\)
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 \(S_{2}^{\mathrm{old}}(\Gamma_1(8027))\) into lower level spaces
\( S_{2}^{\mathrm{old}}(\Gamma_1(8027)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(23))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(349))\)\(^{\oplus 2}\)