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› Level 159
Search newform orbits
Weight
Level
Dimension
CM
any
yes
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8 orbits; showing 1–8 ·
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Dim
Trace form
Sign
CM
Curve
159.2.a.a
4
4
q
+
3
q
2
+
4
q
3
+
3
q
4
+
2
q
5
+
3
q
6
−
4
q
7
+
O
(
q
8
)
4q + 3q^{2} + 4q^{3} + 3q^{4} + 2q^{5} + 3q^{6} - 4q^{7} + O(q^{8})
4
q
+
3
q
2
+
4
q
3
+
3
q
4
+
2
q
5
+
3
q
6
−
4
q
7
+
O
(
q
8
)
+
1
+1
+
1
159.2.a.b
5
5
q
−
5
q
3
+
10
q
4
+
4
q
7
+
O
(
q
8
)
5q - 5q^{3} + 10q^{4} + 4q^{7} + O(q^{8})
5
q
−
5
q
3
+
10
q
4
+
4
q
7
+
O
(
q
8
)
+
1
+1
+
1
159.4.a.a
1
q
−
5
q
2
−
3
q
3
+
17
q
4
−
21
q
5
+
15
q
6
−
16
q
7
+
O
(
q
8
)
q - 5q^{2} - 3q^{3} + 17q^{4} - 21q^{5} + 15q^{6} - 16q^{7} + O(q^{8})
q
−
5
q
2
−
3
q
3
+
17
q
4
−
21
q
5
+
15
q
6
−
16
q
7
+
O
(
q
8
)
+
1
+1
+
1
159.4.a.b
1
q
−
5
q
2
+
3
q
3
+
17
q
4
+
3
q
5
−
15
q
6
−
16
q
7
+
O
(
q
8
)
q - 5q^{2} + 3q^{3} + 17q^{4} + 3q^{5} - 15q^{6} - 16q^{7} + O(q^{8})
q
−
5
q
2
+
3
q
3
+
17
q
4
+
3
q
5
−
15
q
6
−
16
q
7
+
O
(
q
8
)
−
1
-1
−
1
159.4.a.c
3
3
q
−
q
2
+
9
q
3
−
11
q
4
−
17
q
5
−
3
q
6
−
8
q
7
+
O
(
q
8
)
3q - q^{2} + 9q^{3} - 11q^{4} - 17q^{5} - 3q^{6} - 8q^{7} + O(q^{8})
3
q
−
q
2
+
9
q
3
−
11
q
4
−
17
q
5
−
3
q
6
−
8
q
7
+
O
(
q
8
)
−
1
-1
−
1
159.4.a.d
4
4
q
−
12
q
3
+
6
q
4
+
2
q
5
−
24
q
7
+
O
(
q
8
)
4q - 12q^{3} + 6q^{4} + 2q^{5} - 24q^{7} + O(q^{8})
4
q
−
12
q
3
+
6
q
4
+
2
q
5
−
24
q
7
+
O
(
q
8
)
−
1
-1
−
1
159.4.a.e
8
8
q
+
5
q
2
−
24
q
3
+
29
q
4
+
23
q
5
−
15
q
6
+
20
q
7
+
O
(
q
8
)
8q + 5q^{2} - 24q^{3} + 29q^{4} + 23q^{5} - 15q^{6} + 20q^{7} + O(q^{8})
8
q
+
5
q
2
−
24
q
3
+
29
q
4
+
23
q
5
−
15
q
6
+
20
q
7
+
O
(
q
8
)
+
1
+1
+
1
159.4.a.f
9
9
q
+
6
q
2
+
27
q
3
+
46
q
4
+
26
q
5
+
18
q
6
+
4
q
7
+
O
(
q
8
)
9q + 6q^{2} + 27q^{3} + 46q^{4} + 26q^{5} + 18q^{6} + 4q^{7} + O(q^{8})
9
q
+
6
q
2
+
27
q
3
+
46
q
4
+
26
q
5
+
18
q
6
+
4
q
7
+
O
(
q
8
)
+
1
+1
+
1