Defining parameters
Level: | \( N \) | \(=\) | \( 1205 = 5 \cdot 241 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1205.b (of order \(2\) and degree \(1\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 5 \) |
Character field: | \(\Q\) | ||
Newform subspaces: | \( 4 \) | ||
Sturm bound: | \(242\) | ||
Trace bound: | \(4\) | ||
Distinguishing \(T_p\): | \(2\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(1205, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 124 | 120 | 4 |
Cusp forms | 120 | 120 | 0 |
Eisenstein series | 4 | 0 | 4 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(1205, [\chi])\) into newform subspaces
Label | Dim | $A$ | Field | CM | Traces | $q$-expansion | |||
---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | ||||||
1205.2.b.a | $4$ | $9.622$ | \(\Q(i, \sqrt{5})\) | None | \(0\) | \(0\) | \(4\) | \(0\) | \(q+(2\beta _{1}+\beta _{3})q^{2}+(\beta _{1}-\beta _{3})q^{3}-3q^{4}+\cdots\) |
1205.2.b.b | $4$ | $9.622$ | \(\Q(i, \sqrt{5})\) | None | \(0\) | \(0\) | \(4\) | \(0\) | \(q-\beta _{3}q^{2}+(-\beta _{1}-\beta _{3})q^{3}+q^{4}+(1+\cdots)q^{5}+\cdots\) |
1205.2.b.c | $46$ | $9.622$ | None | \(0\) | \(0\) | \(-8\) | \(0\) | ||
1205.2.b.d | $66$ | $9.622$ | None | \(0\) | \(0\) | \(0\) | \(0\) |