Defining parameters
Level: | \( N \) | = | \( 2678 = 2 \cdot 13 \cdot 103 \) |
Weight: | \( k \) | = | \( 2 \) |
Nonzero newspaces: | \( 30 \) | ||
Sturm bound: | \(891072\) | ||
Trace bound: | \(9\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(2678))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 225216 | 73361 | 151855 |
Cusp forms | 220321 | 73361 | 146960 |
Eisenstein series | 4895 | 0 | 4895 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(2678))\)
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 \(S_{2}^{\mathrm{old}}(\Gamma_1(2678))\) into lower level spaces
\( S_{2}^{\mathrm{old}}(\Gamma_1(2678)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(13))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(26))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(103))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(206))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1339))\)\(^{\oplus 2}\)