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Modular forms
› Level 117
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
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10 orbits; showing 1–10 ·
JSON
Label
Dim
Trace form
Sign
CM
Curve
117.2.a.a
1
q
−
q
2
−
q
4
−
2
q
5
−
4
q
7
+
O
(
q
8
)
q - q^{2} - q^{4} - 2q^{5} - 4q^{7} + O(q^{8})
q
−
q
2
−
q
4
−
2
q
5
−
4
q
7
+
O
(
q
8
)
117a1
rank 1
117.2.a.b
2
2
q
+
2
q
4
+
4
q
7
+
O
(
q
8
)
2q + 2q^{4} + 4q^{7} + O(q^{8})
2
q
+
2
q
4
+
4
q
7
+
O
(
q
8
)
117.2.a.c
2
2
q
+
2
q
2
+
2
q
4
+
O
(
q
8
)
2q + 2q^{2} + 2q^{4} + O(q^{8})
2
q
+
2
q
2
+
2
q
4
+
O
(
q
8
)
117.4.a.a
1
q
−
8
q
4
+
12
q
5
+
2
q
7
+
O
(
q
8
)
q - 8q^{4} + 12q^{5} + 2q^{7} + O(q^{8})
q
−
8
q
4
+
12
q
5
+
2
q
7
+
O
(
q
8
)
117.4.a.b
1
q
+
5
q
2
+
17
q
4
+
7
q
5
−
13
q
7
+
O
(
q
8
)
q + 5q^{2} + 17q^{4} + 7q^{5} - 13q^{7} + O(q^{8})
q
+
5
q
2
+
17
q
4
+
7
q
5
−
13
q
7
+
O
(
q
8
)
117.4.a.c
2
2
q
−
2
q
2
+
14
q
4
−
24
q
5
+
O
(
q
8
)
2q - 2q^{2} + 14q^{4} - 24q^{5} + O(q^{8})
2
q
−
2
q
2
+
14
q
4
−
24
q
5
+
O
(
q
8
)
117.4.a.d
2
2
q
−
q
2
−
7
q
4
+
3
q
5
−
9
q
7
+
O
(
q
8
)
2q - q^{2} - 7q^{4} + 3q^{5} - 9q^{7} + O(q^{8})
2
q
−
q
2
−
7
q
4
+
3
q
5
−
9
q
7
+
O
(
q
8
)
117.4.a.e
2
2
q
−
2
q
4
−
44
q
7
+
O
(
q
8
)
2q - 2q^{4} - 44q^{7} + O(q^{8})
2
q
−
2
q
4
−
44
q
7
+
O
(
q
8
)
117.4.a.f
3
3
q
−
2
q
2
+
10
q
4
−
4
q
5
+
30
q
7
+
O
(
q
8
)
3q - 2q^{2} + 10q^{4} - 4q^{5} + 30q^{7} + O(q^{8})
3
q
−
2
q
2
+
10
q
4
−
4
q
5
+
30
q
7
+
O
(
q
8
)
117.4.a.g
4
4
q
+
58
q
4
+
36
q
7
+
O
(
q
8
)
4q + 58q^{4} + 36q^{7} + O(q^{8})
4
q
+
58
q
4
+
36
q
7
+
O
(
q
8
)