Defining parameters
Level: | \( N \) | \(=\) | \( 374 = 2 \cdot 11 \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 374.o (of order \(20\) and degree \(8\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 187 \) |
Character field: | \(\Q(\zeta_{20})\) | ||
Newform subspaces: | \( 2 \) | ||
Sturm bound: | \(108\) | ||
Trace bound: | \(1\) | ||
Distinguishing \(T_p\): | \(3\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(374, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 464 | 144 | 320 |
Cusp forms | 400 | 144 | 256 |
Eisenstein series | 64 | 0 | 64 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(374, [\chi])\) into newform subspaces
Label | Dim | $A$ | Field | CM | Traces | $q$-expansion | |||
---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | ||||||
374.2.o.a | $64$ | $2.986$ | None | \(0\) | \(0\) | \(-4\) | \(-10\) | ||
374.2.o.b | $80$ | $2.986$ | None | \(0\) | \(4\) | \(-4\) | \(-2\) |
Decomposition of \(S_{2}^{\mathrm{old}}(374, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(374, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(187, [\chi])\)\(^{\oplus 2}\)