Defining parameters
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.bb (of order \(36\) and degree \(12\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 95 \) |
Character field: | \(\Q(\zeta_{36})\) | ||
Newform subspaces: | \( 5 \) | ||
Sturm bound: | \(300\) | ||
Trace bound: | \(1\) | ||
Distinguishing \(T_p\): | \(3\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(950, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1944 | 360 | 1584 |
Cusp forms | 1656 | 360 | 1296 |
Eisenstein series | 288 | 0 | 288 |
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.bb.a | $24$ | $7.586$ | None | \(0\) | \(0\) | \(0\) | \(0\) | ||
950.2.bb.b | $48$ | $7.586$ | None | \(0\) | \(0\) | \(0\) | \(0\) | ||
950.2.bb.c | $72$ | $7.586$ | None | \(0\) | \(0\) | \(0\) | \(0\) | ||
950.2.bb.d | $96$ | $7.586$ | None | \(0\) | \(0\) | \(0\) | \(0\) | ||
950.2.bb.e | $120$ | $7.586$ | None | \(0\) | \(0\) | \(0\) | \(12\) |
Decomposition of \(S_{2}^{\mathrm{old}}(950, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(950, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(95, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(190, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(475, [\chi])\)\(^{\oplus 2}\)