Defining parameters
Level: | \( N \) | = | \( 325 = 5^{2} \cdot 13 \) |
Weight: | \( k \) | = | \( 6 \) |
Nonzero newspaces: | \( 24 \) | ||
Sturm bound: | \(50400\) | ||
Trace bound: | \(3\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{6}(\Gamma_1(325))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 21336 | 19349 | 1987 |
Cusp forms | 20664 | 18899 | 1765 |
Eisenstein series | 672 | 450 | 222 |
Trace form
Decomposition of \(S_{6}^{\mathrm{new}}(\Gamma_1(325))\)
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 \(S_{6}^{\mathrm{old}}(\Gamma_1(325))\) into lower level spaces
\( S_{6}^{\mathrm{old}}(\Gamma_1(325)) \cong \) \(S_{6}^{\mathrm{new}}(\Gamma_1(1))\)\(^{\oplus 6}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(5))\)\(^{\oplus 4}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(13))\)\(^{\oplus 3}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(25))\)\(^{\oplus 2}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(65))\)\(^{\oplus 2}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(325))\)\(^{\oplus 1}\)