Defining parameters
Level: | \( N \) | = | \( 276 = 2^{2} \cdot 3 \cdot 23 \) |
Weight: | \( k \) | = | \( 2 \) |
Nonzero newspaces: | \( 8 \) | ||
Newform subspaces: | \( 11 \) | ||
Sturm bound: | \(8448\) | ||
Trace bound: | \(1\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(276))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 2332 | 960 | 1372 |
Cusp forms | 1893 | 880 | 1013 |
Eisenstein series | 439 | 80 | 359 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(276))\)
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.
Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(276))\) into lower level spaces
\( S_{2}^{\mathrm{old}}(\Gamma_1(276)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(23))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(46))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(69))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(92))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(138))\)\(^{\oplus 2}\)