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› Level 171
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
Search
14 orbits; showing 1–14 ·
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Label
Dim
Trace form
Sign
CM
Curve
171.2.a.a
1
q
−
q
2
−
q
4
+
2
q
5
+
O
(
q
8
)
q - q^{2} - q^{4} + 2q^{5} + O(q^{8})
q
−
q
2
−
q
4
+
2
q
5
+
O
(
q
8
)
171a1
rank 0
171.2.a.b
1
q
−
2
q
4
−
3
q
5
−
q
7
+
O
(
q
8
)
q - 2q^{4} - 3q^{5} - q^{7} + O(q^{8})
q
−
2
q
4
−
3
q
5
−
q
7
+
O
(
q
8
)
171b1
rank 1
171.2.a.c
1
q
+
2
q
2
+
2
q
4
−
q
5
+
3
q
7
+
O
(
q
8
)
q + 2q^{2} + 2q^{4} - q^{5} + 3q^{7} + O(q^{8})
q
+
2
q
2
+
2
q
4
−
q
5
+
3
q
7
+
O
(
q
8
)
171c1
rank 0
171.2.a.d
1
q
+
2
q
2
+
2
q
4
+
3
q
5
−
5
q
7
+
O
(
q
8
)
q + 2q^{2} + 2q^{4} + 3q^{5} - 5q^{7} + O(q^{8})
q
+
2
q
2
+
2
q
4
+
3
q
5
−
5
q
7
+
O
(
q
8
)
171d1
rank 0
171.2.a.e
4
4
q
+
10
q
4
+
2
q
7
+
O
(
q
8
)
4q + 10q^{4} + 2q^{7} + O(q^{8})
4
q
+
10
q
4
+
2
q
7
+
O
(
q
8
)
171.4.a.a
1
q
−
3
q
2
+
q
4
+
6
q
5
−
16
q
7
+
O
(
q
8
)
q - 3q^{2} + q^{4} + 6q^{5} - 16q^{7} + O(q^{8})
q
−
3
q
2
+
q
4
+
6
q
5
−
16
q
7
+
O
(
q
8
)
171.4.a.b
1
q
+
q
2
−
7
q
4
+
12
q
5
−
20
q
7
+
O
(
q
8
)
q + q^{2} - 7q^{4} + 12q^{5} - 20q^{7} + O(q^{8})
q
+
q
2
−
7
q
4
+
12
q
5
−
20
q
7
+
O
(
q
8
)
171.4.a.c
1
q
+
3
q
2
+
q
4
−
6
q
5
−
16
q
7
+
O
(
q
8
)
q + 3q^{2} + q^{4} - 6q^{5} - 16q^{7} + O(q^{8})
q
+
3
q
2
+
q
4
−
6
q
5
−
16
q
7
+
O
(
q
8
)
171.4.a.d
1
q
+
3
q
2
+
q
4
+
12
q
5
+
11
q
7
+
O
(
q
8
)
q + 3q^{2} + q^{4} + 12q^{5} + 11q^{7} + O(q^{8})
q
+
3
q
2
+
q
4
+
12
q
5
+
11
q
7
+
O
(
q
8
)
171.4.a.e
2
2
q
−
q
2
+
q
4
−
22
q
5
+
36
q
7
+
O
(
q
8
)
2q - q^{2} + q^{4} - 22q^{5} + 36q^{7} + O(q^{8})
2
q
−
q
2
+
q
4
−
22
q
5
+
36
q
7
+
O
(
q
8
)
171.4.a.f
3
3
q
−
3
q
2
+
21
q
4
−
14
q
5
−
35
q
7
+
O
(
q
8
)
3q - 3q^{2} + 21q^{4} - 14q^{5} - 35q^{7} + O(q^{8})
3
q
−
3
q
2
+
21
q
4
−
14
q
5
−
35
q
7
+
O
(
q
8
)
171.4.a.g
3
3
q
+
3
q
2
+
9
q
4
+
12
q
5
−
18
q
7
+
O
(
q
8
)
3q + 3q^{2} + 9q^{4} + 12q^{5} - 18q^{7} + O(q^{8})
3
q
+
3
q
2
+
9
q
4
+
12
q
5
−
18
q
7
+
O
(
q
8
)
171.4.a.h
4
4
q
−
3
q
2
+
25
q
4
+
6
q
5
+
38
q
7
+
O
(
q
8
)
4q - 3q^{2} + 25q^{4} + 6q^{5} + 38q^{7} + O(q^{8})
4
q
−
3
q
2
+
25
q
4
+
6
q
5
+
38
q
7
+
O
(
q
8
)
171.4.a.i
6
6
q
+
42
q
4
+
20
q
7
+
O
(
q
8
)
6q + 42q^{4} + 20q^{7} + O(q^{8})
6
q
+
42
q
4
+
20
q
7
+
O
(
q
8
)