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› Level 851
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
851.2.a.a
1
q
−
2
q
2
+
q
3
+
2
q
4
−
2
q
6
−
3
q
7
+
O
(
q
8
)
q - 2q^{2} + q^{3} + 2q^{4} - 2q^{6} - 3q^{7} + O(q^{8})
q
−
2
q
2
+
q
3
+
2
q
4
−
2
q
6
−
3
q
7
+
O
(
q
8
)
−
1
-1
−
1
851a1
rank 1
851.2.a.b
2
2
q
+
2
q
3
−
4
q
4
+
q
5
−
q
7
+
O
(
q
8
)
2q + 2q^{3} - 4q^{4} + q^{5} - q^{7} + O(q^{8})
2
q
+
2
q
3
−
4
q
4
+
q
5
−
q
7
+
O
(
q
8
)
+
1
+1
+
1
851.2.a.c
3
3
q
−
q
2
−
q
4
−
4
q
5
+
q
7
+
O
(
q
8
)
3q - q^{2} - q^{4} - 4q^{5} + q^{7} + O(q^{8})
3
q
−
q
2
−
q
4
−
4
q
5
+
q
7
+
O
(
q
8
)
−
1
-1
−
1
851.2.a.d
3
3
q
+
3
q
2
+
3
q
4
−
6
q
6
−
9
q
7
+
O
(
q
8
)
3q + 3q^{2} + 3q^{4} - 6q^{6} - 9q^{7} + O(q^{8})
3
q
+
3
q
2
+
3
q
4
−
6
q
6
−
9
q
7
+
O
(
q
8
)
−
1
-1
−
1
851.2.a.e
5
5
q
−
2
q
2
−
2
q
3
+
6
q
4
−
3
q
5
+
3
q
6
−
2
q
7
+
O
(
q
8
)
5q - 2q^{2} - 2q^{3} + 6q^{4} - 3q^{5} + 3q^{6} - 2q^{7} + O(q^{8})
5
q
−
2
q
2
−
2
q
3
+
6
q
4
−
3
q
5
+
3
q
6
−
2
q
7
+
O
(
q
8
)
−
1
-1
−
1
851.2.a.f
12
12
q
−
q
2
−
3
q
3
+
5
q
4
−
5
q
5
−
10
q
6
+
q
7
+
O
(
q
8
)
12q - q^{2} - 3q^{3} + 5q^{4} - 5q^{5} - 10q^{6} + q^{7} + O(q^{8})
12
q
−
q
2
−
3
q
3
+
5
q
4
−
5
q
5
−
10
q
6
+
q
7
+
O
(
q
8
)
−
1
-1
−
1
851.2.a.g
20
20
q
+
2
q
2
+
26
q
4
+
13
q
5
+
5
q
6
+
6
q
7
+
O
(
q
8
)
20q + 2q^{2} + 26q^{4} + 13q^{5} + 5q^{6} + 6q^{7} + O(q^{8})
20
q
+
2
q
2
+
26
q
4
+
13
q
5
+
5
q
6
+
6
q
7
+
O
(
q
8
)
+
1
+1
+
1
851.2.a.h
21
21
q
+
2
q
2
+
2
q
3
+
36
q
4
+
4
q
5
+
8
q
6
+
7
q
7
+
O
(
q
8
)
21q + 2q^{2} + 2q^{3} + 36q^{4} + 4q^{5} + 8q^{6} + 7q^{7} + O(q^{8})
21
q
+
2
q
2
+
2
q
3
+
36
q
4
+
4
q
5
+
8
q
6
+
7
q
7
+
O
(
q
8
)
+
1
+1
+
1