Defining parameters
Level: | \( N \) | = | \( 9904 = 2^{4} \cdot 619 \) |
Weight: | \( k \) | = | \( 2 \) |
Nonzero newspaces: | \( 16 \) | ||
Sturm bound: | \(12261120\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(9904))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 3073932 | 1726987 | 1346945 |
Cusp forms | 3056629 | 1721435 | 1335194 |
Eisenstein series | 17303 | 5552 | 11751 |
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(9904))\)
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 \(S_{2}^{\mathrm{old}}(\Gamma_1(9904))\) into lower level spaces
\( S_{2}^{\mathrm{old}}(\Gamma_1(9904)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(16))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(619))\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1238))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(2476))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(4952))\)\(^{\oplus 2}\)