Defining parameters
Level: | \( N \) | \(=\) | \( 402 = 2 \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 402.h (of order \(6\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 201 \) |
Character field: | \(\Q(\zeta_{6})\) | ||
Newform subspaces: | \( 2 \) | ||
Sturm bound: | \(136\) | ||
Trace bound: | \(2\) | ||
Distinguishing \(T_p\): | \(5\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(402, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 144 | 44 | 100 |
Cusp forms | 128 | 44 | 84 |
Eisenstein series | 16 | 0 | 16 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(402, [\chi])\) into newform subspaces
Label | Dim | $A$ | Field | CM | Traces | $q$-expansion | |||
---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | ||||||
402.2.h.a | $22$ | $3.210$ | None | \(-11\) | \(1\) | \(0\) | \(-6\) | ||
402.2.h.b | $22$ | $3.210$ | None | \(11\) | \(-1\) | \(0\) | \(-6\) |
Decomposition of \(S_{2}^{\mathrm{old}}(402, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(402, [\chi]) \cong \)