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Modular forms
› Level 163
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
Search
5 orbits; showing 1–5 ·
JSON
Label
Dim
Trace form
Sign
CM
Curve
163.2.a.a
1
q
−
2
q
4
−
4
q
5
+
2
q
7
+
O
(
q
8
)
q - 2q^{4} - 4q^{5} + 2q^{7} + O(q^{8})
q
−
2
q
4
−
4
q
5
+
2
q
7
+
O
(
q
8
)
−
1
-1
−
1
163a1
rank 1
163.2.a.b
5
5
q
−
5
q
2
−
5
q
3
+
9
q
4
−
9
q
5
−
3
q
6
−
6
q
7
+
O
(
q
8
)
5q - 5q^{2} - 5q^{3} + 9q^{4} - 9q^{5} - 3q^{6} - 6q^{7} + O(q^{8})
5
q
−
5
q
2
−
5
q
3
+
9
q
4
−
9
q
5
−
3
q
6
−
6
q
7
+
O
(
q
8
)
−
1
-1
−
1
163.2.a.c
7
7
q
+
3
q
2
+
q
3
+
5
q
4
+
11
q
5
−
3
q
6
+
O
(
q
8
)
7q + 3q^{2} + q^{3} + 5q^{4} + 11q^{5} - 3q^{6} + O(q^{8})
7
q
+
3
q
2
+
q
3
+
5
q
4
+
11
q
5
−
3
q
6
+
O
(
q
8
)
+
1
+1
+
1
163.4.a.a
19
19
q
−
10
q
2
−
15
q
3
+
62
q
4
−
71
q
5
−
36
q
6
−
48
q
7
+
O
(
q
8
)
19q - 10q^{2} - 15q^{3} + 62q^{4} - 71q^{5} - 36q^{6} - 48q^{7} + O(q^{8})
19
q
−
10
q
2
−
15
q
3
+
62
q
4
−
71
q
5
−
36
q
6
−
48
q
7
+
O
(
q
8
)
−
1
-1
−
1
163.4.a.b
21
21
q
+
12
q
2
+
15
q
3
+
82
q
4
+
79
q
5
+
36
q
6
+
36
q
7
+
O
(
q
8
)
21q + 12q^{2} + 15q^{3} + 82q^{4} + 79q^{5} + 36q^{6} + 36q^{7} + O(q^{8})
21
q
+
12
q
2
+
15
q
3
+
82
q
4
+
79
q
5
+
36
q
6
+
36
q
7
+
O
(
q
8
)
+
1
+1
+
1