Defining parameters
Level: | \( N \) | \(=\) | \( 4050 = 2 \cdot 3^{4} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4050.c (of order \(2\) and degree \(1\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 5 \) |
Character field: | \(\Q\) | ||
Newform subspaces: | \( 28 \) | ||
Sturm bound: | \(1620\) | ||
Trace bound: | \(19\) | ||
Distinguishing \(T_p\): | \(7\), \(11\), \(13\), \(17\), \(19\), \(29\), \(41\), \(71\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4050, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 882 | 72 | 810 |
Cusp forms | 738 | 72 | 666 |
Eisenstein series | 144 | 0 | 144 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(4050, [\chi])\) into newform subspaces
Decomposition of \(S_{2}^{\mathrm{old}}(4050, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4050, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(50, [\chi])\)\(^{\oplus 5}\)