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› Level 489
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
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4 orbits; showing 1–4 ·
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Label
Dim
Trace form
Sign
CM
Curve
489.2.a.a
4
4
q
−
2
q
2
+
4
q
3
−
3
q
5
−
2
q
6
−
10
q
7
+
O
(
q
8
)
4q - 2q^{2} + 4q^{3} - 3q^{5} - 2q^{6} - 10q^{7} + O(q^{8})
4
q
−
2
q
2
+
4
q
3
−
3
q
5
−
2
q
6
−
10
q
7
+
O
(
q
8
)
−
1
-1
−
1
489.2.a.b
5
5
q
−
2
q
2
−
5
q
3
+
2
q
4
−
3
q
5
+
2
q
6
−
4
q
7
+
O
(
q
8
)
5q - 2q^{2} - 5q^{3} + 2q^{4} - 3q^{5} + 2q^{6} - 4q^{7} + O(q^{8})
5
q
−
2
q
2
−
5
q
3
+
2
q
4
−
3
q
5
+
2
q
6
−
4
q
7
+
O
(
q
8
)
−
1
-1
−
1
489.2.a.c
8
8
q
+
4
q
2
−
8
q
3
+
12
q
4
+
5
q
5
−
4
q
6
+
4
q
7
+
O
(
q
8
)
8q + 4q^{2} - 8q^{3} + 12q^{4} + 5q^{5} - 4q^{6} + 4q^{7} + O(q^{8})
8
q
+
4
q
2
−
8
q
3
+
12
q
4
+
5
q
5
−
4
q
6
+
4
q
7
+
O
(
q
8
)
+
1
+1
+
1
489.2.a.d
10
10
q
+
q
2
+
10
q
3
+
13
q
4
−
q
5
+
q
6
+
14
q
7
+
O
(
q
8
)
10q + q^{2} + 10q^{3} + 13q^{4} - q^{5} + q^{6} + 14q^{7} + O(q^{8})
10
q
+
q
2
+
10
q
3
+
13
q
4
−
q
5
+
q
6
+
14
q
7
+
O
(
q
8
)
+
1
+1
+
1