Defining parameters
Level: | \( N \) | = | \( 725 = 5^{2} \cdot 29 \) |
Weight: | \( k \) | = | \( 6 \) |
Nonzero newspaces: | \( 24 \) | ||
Sturm bound: | \(252000\) | ||
Trace bound: | \(3\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{6}(\Gamma_1(725))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 105784 | 97097 | 8687 |
Cusp forms | 104216 | 95991 | 8225 |
Eisenstein series | 1568 | 1106 | 462 |
Trace form
Decomposition of \(S_{6}^{\mathrm{new}}(\Gamma_1(725))\)
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 \(S_{6}^{\mathrm{old}}(\Gamma_1(725))\) into lower level spaces
\( S_{6}^{\mathrm{old}}(\Gamma_1(725)) \cong \) \(S_{6}^{\mathrm{new}}(\Gamma_1(5))\)\(^{\oplus 4}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(25))\)\(^{\oplus 2}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(29))\)\(^{\oplus 3}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(145))\)\(^{\oplus 2}\)