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Modular forms
› Level 161
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
Search
8 orbits; showing 1–8 ·
JSON
Label
Dim
Trace form
Sign
CM
Curve
161.2.a.a
1
q
−
q
2
−
q
4
+
2
q
5
+
q
7
+
O
(
q
8
)
q - q^{2} - q^{4} + 2q^{5} + q^{7} + O(q^{8})
q
−
q
2
−
q
4
+
2
q
5
+
q
7
+
O
(
q
8
)
+
1
+1
+
1
161a1
rank 0
161.2.a.b
2
2
q
−
q
2
−
2
q
3
−
q
4
−
2
q
5
+
q
6
−
2
q
7
+
O
(
q
8
)
2q - q^{2} - 2q^{3} - q^{4} - 2q^{5} + q^{6} - 2q^{7} + O(q^{8})
2
q
−
q
2
−
2
q
3
−
q
4
−
2
q
5
+
q
6
−
2
q
7
+
O
(
q
8
)
−
1
-1
−
1
161.2.a.c
3
3
q
−
q
2
+
2
q
3
+
5
q
4
+
2
q
5
+
4
q
6
−
3
q
7
+
O
(
q
8
)
3q - q^{2} + 2q^{3} + 5q^{4} + 2q^{5} + 4q^{6} - 3q^{7} + O(q^{8})
3
q
−
q
2
+
2
q
3
+
5
q
4
+
2
q
5
+
4
q
6
−
3
q
7
+
O
(
q
8
)
+
1
+1
+
1
161.2.a.d
5
5
q
+
2
q
2
+
12
q
4
−
4
q
5
−
3
q
6
+
5
q
7
+
O
(
q
8
)
5q + 2q^{2} + 12q^{4} - 4q^{5} - 3q^{6} + 5q^{7} + O(q^{8})
5
q
+
2
q
2
+
12
q
4
−
4
q
5
−
3
q
6
+
5
q
7
+
O
(
q
8
)
+
1
+1
+
1
161.4.a.a
5
5
q
−
4
q
2
−
11
q
3
−
4
q
5
+
35
q
7
+
O
(
q
8
)
5q - 4q^{2} - 11q^{3} - 4q^{5} + 35q^{7} + O(q^{8})
5
q
−
4
q
2
−
11
q
3
−
4
q
5
+
35
q
7
+
O
(
q
8
)
−
1
-1
−
1
161.4.a.b
8
8
q
−
3
q
3
+
24
q
4
−
24
q
5
−
41
q
6
−
56
q
7
+
O
(
q
8
)
8q - 3q^{3} + 24q^{4} - 24q^{5} - 41q^{6} - 56q^{7} + O(q^{8})
8
q
−
3
q
3
+
24
q
4
−
24
q
5
−
41
q
6
−
56
q
7
+
O
(
q
8
)
−
1
-1
−
1
161.4.a.c
9
9
q
+
9
q
3
+
48
q
4
−
4
q
5
+
46
q
6
−
63
q
7
+
O
(
q
8
)
9q + 9q^{3} + 48q^{4} - 4q^{5} + 46q^{6} - 63q^{7} + O(q^{8})
9
q
+
9
q
3
+
48
q
4
−
4
q
5
+
46
q
6
−
63
q
7
+
O
(
q
8
)
+
1
+1
+
1
161.4.a.d
12
12
q
+
4
q
2
+
q
3
+
72
q
4
+
16
q
5
−
15
q
6
+
84
q
7
+
O
(
q
8
)
12q + 4q^{2} + q^{3} + 72q^{4} + 16q^{5} - 15q^{6} + 84q^{7} + O(q^{8})
12
q
+
4
q
2
+
q
3
+
72
q
4
+
16
q
5
−
15
q
6
+
84
q
7
+
O
(
q
8
)
+
1
+1
+
1