Defining parameters
| Level: | \( N \) | \(=\) | \( 60 = 2^{2} \cdot 3 \cdot 5 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 60.a (trivial) |
| Character field: | \(\Q\) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(24\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_0(60))\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 18 | 0 | 18 |
| Cusp forms | 7 | 0 | 7 |
| Eisenstein series | 11 | 0 | 11 |
Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_0(60))\) into lower level spaces
\( S_{2}^{\mathrm{old}}(\Gamma_0(60)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_0(15))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(20))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(30))\)\(^{\oplus 2}\)