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Modular forms
› Level 939
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
Search
7 orbits; showing 1–7 ·
JSON
Label
Dim
Trace form
Sign
CM
Curve
939.2.a.a
1
q
−
2
q
2
+
q
3
+
2
q
4
−
q
5
−
2
q
6
−
4
q
7
+
O
(
q
8
)
q - 2q^{2} + q^{3} + 2q^{4} - q^{5} - 2q^{6} - 4q^{7} + O(q^{8})
q
−
2
q
2
+
q
3
+
2
q
4
−
q
5
−
2
q
6
−
4
q
7
+
O
(
q
8
)
−
1
-1
−
1
939c1
rank 1
939.2.a.b
1
q
−
q
3
−
2
q
4
−
q
5
+
4
q
7
+
O
(
q
8
)
q - q^{3} - 2q^{4} - q^{5} + 4q^{7} + O(q^{8})
q
−
q
3
−
2
q
4
−
q
5
+
4
q
7
+
O
(
q
8
)
−
1
-1
−
1
939a1
rank 1
939.2.a.c
1
q
+
q
2
+
q
3
−
q
4
+
q
6
−
4
q
7
+
O
(
q
8
)
q + q^{2} + q^{3} - q^{4} + q^{6} - 4q^{7} + O(q^{8})
q
+
q
2
+
q
3
−
q
4
+
q
6
−
4
q
7
+
O
(
q
8
)
−
1
-1
−
1
939b1
rank 1
939.2.a.d
6
6
q
−
q
2
+
6
q
3
+
q
4
−
6
q
5
−
q
6
−
6
q
7
+
O
(
q
8
)
6q - q^{2} + 6q^{3} + q^{4} - 6q^{5} - q^{6} - 6q^{7} + O(q^{8})
6
q
−
q
2
+
6
q
3
+
q
4
−
6
q
5
−
q
6
−
6
q
7
+
O
(
q
8
)
−
1
-1
−
1
939.2.a.e
10
10
q
−
3
q
2
−
10
q
3
+
9
q
4
−
8
q
5
+
3
q
6
+
6
q
7
+
O
(
q
8
)
10q - 3q^{2} - 10q^{3} + 9q^{4} - 8q^{5} + 3q^{6} + 6q^{7} + O(q^{8})
10
q
−
3
q
2
−
10
q
3
+
9
q
4
−
8
q
5
+
3
q
6
+
6
q
7
+
O
(
q
8
)
−
1
-1
−
1
939.2.a.f
15
15
q
+
3
q
2
−
15
q
3
+
15
q
4
+
13
q
5
−
3
q
6
−
10
q
7
+
O
(
q
8
)
15q + 3q^{2} - 15q^{3} + 15q^{4} + 13q^{5} - 3q^{6} - 10q^{7} + O(q^{8})
15
q
+
3
q
2
−
15
q
3
+
15
q
4
+
13
q
5
−
3
q
6
−
10
q
7
+
O
(
q
8
)
+
1
+1
+
1
939.2.a.g
19
19
q
+
q
2
+
19
q
3
+
27
q
4
+
9
q
5
+
q
6
+
18
q
7
+
O
(
q
8
)
19q + q^{2} + 19q^{3} + 27q^{4} + 9q^{5} + q^{6} + 18q^{7} + O(q^{8})
19
q
+
q
2
+
19
q
3
+
27
q
4
+
9
q
5
+
q
6
+
18
q
7
+
O
(
q
8
)
+
1
+1
+
1