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› Level 87
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
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10 orbits; showing 1–10 ·
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Dim
Trace form
Sign
CM
Curve
87.2.a.a
2
2
q
+
q
2
+
2
q
3
−
q
4
+
2
q
5
+
q
6
−
4
q
7
+
O
(
q
8
)
2q + q^{2} + 2q^{3} - q^{4} + 2q^{5} + q^{6} - 4q^{7} + O(q^{8})
2
q
+
q
2
+
2
q
3
−
q
4
+
2
q
5
+
q
6
−
4
q
7
+
O
(
q
8
)
+
1
+1
+
1
87.2.a.b
3
3
q
+
2
q
2
−
3
q
3
+
6
q
4
−
2
q
6
+
4
q
7
+
O
(
q
8
)
3q + 2q^{2} - 3q^{3} + 6q^{4} - 2q^{6} + 4q^{7} + O(q^{8})
3
q
+
2
q
2
−
3
q
3
+
6
q
4
−
2
q
6
+
4
q
7
+
O
(
q
8
)
+
1
+1
+
1
87.4.a.a
2
2
q
−
5
q
2
+
6
q
3
+
5
q
4
−
11
q
5
−
15
q
6
−
24
q
7
+
O
(
q
8
)
2q - 5q^{2} + 6q^{3} + 5q^{4} - 11q^{5} - 15q^{6} - 24q^{7} + O(q^{8})
2
q
−
5
q
2
+
6
q
3
+
5
q
4
−
11
q
5
−
15
q
6
−
24
q
7
+
O
(
q
8
)
−
1
-1
−
1
87.4.a.b
2
2
q
−
q
2
−
6
q
3
+
5
q
4
−
q
5
+
3
q
6
−
24
q
7
+
O
(
q
8
)
2q - q^{2} - 6q^{3} + 5q^{4} - q^{5} + 3q^{6} - 24q^{7} + O(q^{8})
2
q
−
q
2
−
6
q
3
+
5
q
4
−
q
5
+
3
q
6
−
24
q
7
+
O
(
q
8
)
−
1
-1
−
1
87.4.a.c
5
5
q
+
3
q
2
−
15
q
3
+
29
q
4
−
q
5
−
9
q
6
+
4
q
7
+
O
(
q
8
)
5q + 3q^{2} - 15q^{3} + 29q^{4} - q^{5} - 9q^{6} + 4q^{7} + O(q^{8})
5
q
+
3
q
2
−
15
q
3
+
29
q
4
−
q
5
−
9
q
6
+
4
q
7
+
O
(
q
8
)
+
1
+1
+
1
87.4.a.d
5
5
q
+
3
q
2
+
15
q
3
+
29
q
4
+
29
q
5
+
9
q
6
+
4
q
7
+
O
(
q
8
)
5q + 3q^{2} + 15q^{3} + 29q^{4} + 29q^{5} + 9q^{6} + 4q^{7} + O(q^{8})
5
q
+
3
q
2
+
15
q
3
+
29
q
4
+
29
q
5
+
9
q
6
+
4
q
7
+
O
(
q
8
)
+
1
+1
+
1
87.6.a.a
4
4
q
−
3
q
2
+
36
q
3
+
49
q
4
−
136
q
5
−
27
q
6
−
28
q
7
+
O
(
q
8
)
4q - 3q^{2} + 36q^{3} + 49q^{4} - 136q^{5} - 27q^{6} - 28q^{7} + O(q^{8})
4
q
−
3
q
2
+
36
q
3
+
49
q
4
−
136
q
5
−
27
q
6
−
28
q
7
+
O
(
q
8
)
−
1
-1
−
1
87.6.a.b
5
5
q
−
9
q
2
−
45
q
3
+
53
q
4
+
14
q
5
+
81
q
6
−
68
q
7
+
O
(
q
8
)
5q - 9q^{2} - 45q^{3} + 53q^{4} + 14q^{5} + 81q^{6} - 68q^{7} + O(q^{8})
5
q
−
9
q
2
−
45
q
3
+
53
q
4
+
14
q
5
+
81
q
6
−
68
q
7
+
O
(
q
8
)
−
1
-1
−
1
87.6.a.c
7
7
q
+
13
q
2
+
63
q
3
+
145
q
4
+
64
q
5
+
117
q
6
+
168
q
7
+
O
(
q
8
)
7q + 13q^{2} + 63q^{3} + 145q^{4} + 64q^{5} + 117q^{6} + 168q^{7} + O(q^{8})
7
q
+
13
q
2
+
63
q
3
+
145
q
4
+
64
q
5
+
117
q
6
+
168
q
7
+
O
(
q
8
)
+
1
+1
+
1
87.6.a.d
8
8
q
−
q
2
−
72
q
3
+
149
q
4
+
14
q
5
+
9
q
6
+
128
q
7
+
O
(
q
8
)
8q - q^{2} - 72q^{3} + 149q^{4} + 14q^{5} + 9q^{6} + 128q^{7} + O(q^{8})
8
q
−
q
2
−
72
q
3
+
149
q
4
+
14
q
5
+
9
q
6
+
128
q
7
+
O
(
q
8
)
+
1
+1
+
1