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› Level 683
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
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3 orbits; showing 1–3 ·
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Label
Dim
Trace form
Sign
CM
Curve
683.2.a.a
2
2
q
+
3
q
3
+
6
q
4
−
2
q
5
−
5
q
6
+
4
q
7
+
O
(
q
8
)
2q + 3q^{3} + 6q^{4} - 2q^{5} - 5q^{6} + 4q^{7} + O(q^{8})
2
q
+
3
q
3
+
6
q
4
−
2
q
5
−
5
q
6
+
4
q
7
+
O
(
q
8
)
+
1
+1
+
1
683.2.a.b
24
24
q
−
4
q
2
−
8
q
3
+
18
q
4
−
16
q
5
−
14
q
6
−
24
q
7
+
O
(
q
8
)
24q - 4q^{2} - 8q^{3} + 18q^{4} - 16q^{5} - 14q^{6} - 24q^{7} + O(q^{8})
24
q
−
4
q
2
−
8
q
3
+
18
q
4
−
16
q
5
−
14
q
6
−
24
q
7
+
O
(
q
8
)
−
1
-1
−
1
683.2.a.c
31
31
q
+
2
q
2
+
3
q
3
+
30
q
4
+
18
q
5
+
7
q
6
+
20
q
7
+
O
(
q
8
)
31q + 2q^{2} + 3q^{3} + 30q^{4} + 18q^{5} + 7q^{6} + 20q^{7} + O(q^{8})
31
q
+
2
q
2
+
3
q
3
+
30
q
4
+
18
q
5
+
7
q
6
+
20
q
7
+
O
(
q
8
)
+
1
+1
+
1