Defining parameters
Level: | \( N \) | = | \( 4014 = 2 \cdot 3^{2} \cdot 223 \) |
Weight: | \( k \) | = | \( 2 \) |
Nonzero newspaces: | \( 20 \) | ||
Sturm bound: | \(1790208\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(4014))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 451104 | 118100 | 333004 |
Cusp forms | 444001 | 118100 | 325901 |
Eisenstein series | 7103 | 0 | 7103 |
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(4014))\)
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 \(S_{2}^{\mathrm{old}}(\Gamma_1(4014))\) into lower level spaces
\( S_{2}^{\mathrm{old}}(\Gamma_1(4014)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(18))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(223))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(446))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(669))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1338))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(2007))\)\(^{\oplus 2}\)