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Modular forms
› Level 197
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
197.2.a.a
1
q
−
2
q
2
+
2
q
4
−
3
q
7
+
O
(
q
8
)
q - 2q^{2} + 2q^{4} - 3q^{7} + O(q^{8})
q
−
2
q
2
+
2
q
4
−
3
q
7
+
O
(
q
8
)
−
1
-1
−
1
197a1
rank 1
197.2.a.b
5
5
q
−
8
q
3
−
4
q
5
−
2
q
6
−
10
q
7
+
O
(
q
8
)
5q - 8q^{3} - 4q^{5} - 2q^{6} - 10q^{7} + O(q^{8})
5
q
−
8
q
3
−
4
q
5
−
2
q
6
−
10
q
7
+
O
(
q
8
)
−
1
-1
−
1
197.2.a.c
10
10
q
+
10
q
3
+
10
q
4
+
2
q
5
−
4
q
6
+
11
q
7
+
O
(
q
8
)
10q + 10q^{3} + 10q^{4} + 2q^{5} - 4q^{6} + 11q^{7} + O(q^{8})
10
q
+
10
q
3
+
10
q
4
+
2
q
5
−
4
q
6
+
11
q
7
+
O
(
q
8
)
+
1
+1
+
1
197.4.a.a
22
22
q
−
6
q
2
−
34
q
3
+
68
q
4
−
31
q
5
−
24
q
6
−
102
q
7
+
O
(
q
8
)
22q - 6q^{2} - 34q^{3} + 68q^{4} - 31q^{5} - 24q^{6} - 102q^{7} + O(q^{8})
22
q
−
6
q
2
−
34
q
3
+
68
q
4
−
31
q
5
−
24
q
6
−
102
q
7
+
O
(
q
8
)
−
1
-1
−
1
197.4.a.b
27
27
q
+
4
q
2
+
32
q
3
+
128
q
4
+
29
q
5
+
36
q
6
+
122
q
7
+
O
(
q
8
)
27q + 4q^{2} + 32q^{3} + 128q^{4} + 29q^{5} + 36q^{6} + 122q^{7} + O(q^{8})
27
q
+
4
q
2
+
32
q
3
+
128
q
4
+
29
q
5
+
36
q
6
+
122
q
7
+
O
(
q
8
)
+
1
+1
+
1