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› Level 113
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
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6 orbits; showing 1–6 ·
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Label
Dim
Trace form
Sign
CM
Curve
113.2.a.a
1
q
−
q
2
+
2
q
3
−
q
4
+
2
q
5
−
2
q
6
+
O
(
q
8
)
q - q^{2} + 2q^{3} - q^{4} + 2q^{5} - 2q^{6} + O(q^{8})
q
−
q
2
+
2
q
3
−
q
4
+
2
q
5
−
2
q
6
+
O
(
q
8
)
+
1
+1
+
1
113a1
rank 0
113.2.a.b
2
2
q
+
2
q
2
+
2
q
3
−
2
q
4
+
2
q
6
+
8
q
7
+
O
(
q
8
)
2q + 2q^{2} + 2q^{3} - 2q^{4} + 2q^{6} + 8q^{7} + O(q^{8})
2
q
+
2
q
2
+
2
q
3
−
2
q
4
+
2
q
6
+
8
q
7
+
O
(
q
8
)
+
1
+1
+
1
113.2.a.c
3
3
q
−
2
q
2
−
5
q
3
−
q
5
+
q
6
−
10
q
7
+
O
(
q
8
)
3q - 2q^{2} - 5q^{3} - q^{5} + q^{6} - 10q^{7} + O(q^{8})
3
q
−
2
q
2
−
5
q
3
−
q
5
+
q
6
−
10
q
7
+
O
(
q
8
)
−
1
-1
−
1
113.2.a.d
3
3
q
−
2
q
2
−
q
3
+
8
q
4
−
3
q
5
−
q
6
+
6
q
7
+
O
(
q
8
)
3q - 2q^{2} - q^{3} + 8q^{4} - 3q^{5} - q^{6} + 6q^{7} + O(q^{8})
3
q
−
2
q
2
−
q
3
+
8
q
4
−
3
q
5
−
q
6
+
6
q
7
+
O
(
q
8
)
+
1
+1
+
1
113.4.a.a
12
12
q
−
4
q
2
−
18
q
3
+
32
q
4
−
24
q
5
−
55
q
6
−
106
q
7
+
O
(
q
8
)
12q - 4q^{2} - 18q^{3} + 32q^{4} - 24q^{5} - 55q^{6} - 106q^{7} + O(q^{8})
12
q
−
4
q
2
−
18
q
3
+
32
q
4
−
24
q
5
−
55
q
6
−
106
q
7
+
O
(
q
8
)
−
1
-1
−
1
113.4.a.b
16
16
q
+
4
q
2
+
18
q
3
+
80
q
4
+
6
q
5
+
5
q
6
+
118
q
7
+
O
(
q
8
)
16q + 4q^{2} + 18q^{3} + 80q^{4} + 6q^{5} + 5q^{6} + 118q^{7} + O(q^{8})
16
q
+
4
q
2
+
18
q
3
+
80
q
4
+
6
q
5
+
5
q
6
+
118
q
7
+
O
(
q
8
)
+
1
+1
+
1