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› Level 589
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
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5 orbits; showing 1–5 ·
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Label
Dim
Trace form
Sign
CM
Curve
589.2.a.a
3
3
q
+
q
2
+
2
q
3
+
3
q
4
−
4
q
6
−
2
q
7
+
O
(
q
8
)
3q + q^{2} + 2q^{3} + 3q^{4} - 4q^{6} - 2q^{7} + O(q^{8})
3
q
+
q
2
+
2
q
3
+
3
q
4
−
4
q
6
−
2
q
7
+
O
(
q
8
)
+
1
+1
+
1
589.2.a.b
9
9
q
−
4
q
2
−
5
q
3
+
8
q
4
−
10
q
5
−
q
6
−
q
7
+
O
(
q
8
)
9q - 4q^{2} - 5q^{3} + 8q^{4} - 10q^{5} - q^{6} - q^{7} + O(q^{8})
9
q
−
4
q
2
−
5
q
3
+
8
q
4
−
10
q
5
−
q
6
−
q
7
+
O
(
q
8
)
−
1
-1
−
1
589.2.a.c
9
9
q
+
7
q
3
+
10
q
4
+
5
q
6
+
q
7
+
O
(
q
8
)
9q + 7q^{3} + 10q^{4} + 5q^{6} + q^{7} + O(q^{8})
9
q
+
7
q
3
+
10
q
4
+
5
q
6
+
q
7
+
O
(
q
8
)
+
1
+1
+
1
589.2.a.d
10
10
q
−
7
q
3
+
6
q
4
−
7
q
5
−
5
q
6
−
2
q
7
+
O
(
q
8
)
10q - 7q^{3} + 6q^{4} - 7q^{5} - 5q^{6} - 2q^{7} + O(q^{8})
10
q
−
7
q
3
+
6
q
4
−
7
q
5
−
5
q
6
−
2
q
7
+
O
(
q
8
)
−
1
-1
−
1
589.2.a.e
14
14
q
+
7
q
3
+
18
q
4
+
9
q
5
+
9
q
6
+
6
q
7
+
O
(
q
8
)
14q + 7q^{3} + 18q^{4} + 9q^{5} + 9q^{6} + 6q^{7} + O(q^{8})
14
q
+
7
q
3
+
18
q
4
+
9
q
5
+
9
q
6
+
6
q
7
+
O
(
q
8
)
+
1
+1
+
1