Defining parameters
Level: | \( N \) | \(=\) | \( 475 = 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 475.e (of order \(3\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 19 \) |
Character field: | \(\Q(\zeta_{3})\) | ||
Newform subspaces: | \( 8 \) | ||
Sturm bound: | \(100\) | ||
Trace bound: | \(2\) | ||
Distinguishing \(T_p\): | \(2\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(475, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 112 | 68 | 44 |
Cusp forms | 88 | 56 | 32 |
Eisenstein series | 24 | 12 | 12 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(475, [\chi])\) into newform subspaces
Decomposition of \(S_{2}^{\mathrm{old}}(475, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(475, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(95, [\chi])\)\(^{\oplus 2}\)