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Modular forms
› Level 83
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
83.2.a.a
1
q
−
q
2
−
q
3
−
q
4
−
2
q
5
+
q
6
−
3
q
7
+
O
(
q
8
)
q - q^{2} - q^{3} - q^{4} - 2q^{5} + q^{6} - 3q^{7} + O(q^{8})
q
−
q
2
−
q
3
−
q
4
−
2
q
5
+
q
6
−
3
q
7
+
O
(
q
8
)
−
1
-1
−
1
83a1
rank 1
83.2.a.b
6
6
q
+
q
2
+
q
3
+
7
q
4
+
2
q
5
−
7
q
6
+
3
q
7
+
O
(
q
8
)
6q + q^{2} + q^{3} + 7q^{4} + 2q^{5} - 7q^{6} + 3q^{7} + O(q^{8})
6
q
+
q
2
+
q
3
+
7
q
4
+
2
q
5
−
7
q
6
+
3
q
7
+
O
(
q
8
)
+
1
+1
+
1
83.4.a.a
7
7
q
−
5
q
2
−
11
q
3
+
13
q
4
−
17
q
5
−
27
q
6
−
46
q
7
+
O
(
q
8
)
7q - 5q^{2} - 11q^{3} + 13q^{4} - 17q^{5} - 27q^{6} - 46q^{7} + O(q^{8})
7
q
−
5
q
2
−
11
q
3
+
13
q
4
−
17
q
5
−
27
q
6
−
46
q
7
+
O
(
q
8
)
−
1
-1
−
1
83.4.a.b
13
13
q
+
5
q
2
+
7
q
3
+
73
q
4
+
33
q
5
−
3
q
6
+
52
q
7
+
O
(
q
8
)
13q + 5q^{2} + 7q^{3} + 73q^{4} + 33q^{5} - 3q^{6} + 52q^{7} + O(q^{8})
13
q
+
5
q
2
+
7
q
3
+
73
q
4
+
33
q
5
−
3
q
6
+
52
q
7
+
O
(
q
8
)
+
1
+1
+
1
83.6.a.a
14
14
q
−
13
q
2
−
17
q
3
+
133
q
4
−
162
q
5
−
15
q
6
−
247
q
7
+
O
(
q
8
)
14q - 13q^{2} - 17q^{3} + 133q^{4} - 162q^{5} - 15q^{6} - 247q^{7} + O(q^{8})
14
q
−
13
q
2
−
17
q
3
+
133
q
4
−
162
q
5
−
15
q
6
−
247
q
7
+
O
(
q
8
)
−
1
-1
−
1
83.6.a.b
20
20
q
+
7
q
2
+
37
q
3
+
373
q
4
+
88
q
5
+
129
q
6
+
439
q
7
+
O
(
q
8
)
20q + 7q^{2} + 37q^{3} + 373q^{4} + 88q^{5} + 129q^{6} + 439q^{7} + O(q^{8})
20
q
+
7
q
2
+
37
q
3
+
373
q
4
+
88
q
5
+
129
q
6
+
439
q
7
+
O
(
q
8
)
+
1
+1
+
1