Defining parameters
Level: | \( N \) | = | \( 6026 = 2 \cdot 23 \cdot 131 \) |
Weight: | \( k \) | = | \( 2 \) |
Nonzero newspaces: | \( 16 \) | ||
Sturm bound: | \(4530240\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(6026))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1138280 | 376049 | 762231 |
Cusp forms | 1126841 | 376049 | 750792 |
Eisenstein series | 11439 | 0 | 11439 |
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(6026))\)
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 \(S_{2}^{\mathrm{old}}(\Gamma_1(6026))\) into lower level spaces
\( S_{2}^{\mathrm{old}}(\Gamma_1(6026)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(23))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(46))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(131))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(262))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(3013))\)\(^{\oplus 2}\)