Defining parameters
Level: | \( N \) | \(=\) | \( 387 = 3^{2} \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 387.h (of order \(3\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 43 \) |
Character field: | \(\Q(\zeta_{3})\) | ||
Newform subspaces: | \( 7 \) | ||
Sturm bound: | \(88\) | ||
Trace bound: | \(2\) | ||
Distinguishing \(T_p\): | \(2\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(387, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 96 | 38 | 58 |
Cusp forms | 80 | 34 | 46 |
Eisenstein series | 16 | 4 | 12 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(387, [\chi])\) into newform subspaces
Decomposition of \(S_{2}^{\mathrm{old}}(387, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(387, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(43, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(129, [\chi])\)\(^{\oplus 2}\)