Defining parameters
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.bc (of order \(45\) and degree \(24\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 475 \) |
Character field: | \(\Q(\zeta_{45})\) | ||
Newform subspaces: | \( 2 \) | ||
Sturm bound: | \(300\) | ||
Trace bound: | \(7\) | ||
Distinguishing \(T_p\): | \(3\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(950, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 3696 | 1200 | 2496 |
Cusp forms | 3504 | 1200 | 2304 |
Eisenstein series | 192 | 0 | 192 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(950, [\chi])\) into newform subspaces
Label | Dim | $A$ | Field | CM | Traces | $q$-expansion | |||
---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | ||||||
950.2.bc.a | $600$ | $7.586$ | None | \(0\) | \(0\) | \(0\) | \(-42\) | ||
950.2.bc.b | $600$ | $7.586$ | None | \(0\) | \(0\) | \(0\) | \(54\) |
Decomposition of \(S_{2}^{\mathrm{old}}(950, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(950, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(475, [\chi])\)\(^{\oplus 2}\)