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› Level 538
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
538.2.a.a
2
2
q
+
2
q
2
−
q
3
+
2
q
4
−
5
q
5
−
q
6
−
4
q
7
+
O
(
q
8
)
2q + 2q^{2} - q^{3} + 2q^{4} - 5q^{5} - q^{6} - 4q^{7} + O(q^{8})
2
q
+
2
q
2
−
q
3
+
2
q
4
−
5
q
5
−
q
6
−
4
q
7
+
O
(
q
8
)
−
1
-1
−
1
538.2.a.b
2
2
q
+
2
q
2
+
q
3
+
2
q
4
+
q
5
+
q
6
−
2
q
7
+
O
(
q
8
)
2q + 2q^{2} + q^{3} + 2q^{4} + q^{5} + q^{6} - 2q^{7} + O(q^{8})
2
q
+
2
q
2
+
q
3
+
2
q
4
+
q
5
+
q
6
−
2
q
7
+
O
(
q
8
)
+
1
+1
+
1
538.2.a.c
4
4
q
−
4
q
2
+
3
q
3
+
4
q
4
+
5
q
5
−
3
q
6
−
q
7
+
O
(
q
8
)
4q - 4q^{2} + 3q^{3} + 4q^{4} + 5q^{5} - 3q^{6} - q^{7} + O(q^{8})
4
q
−
4
q
2
+
3
q
3
+
4
q
4
+
5
q
5
−
3
q
6
−
q
7
+
O
(
q
8
)
+
1
+1
+
1
538.2.a.d
7
7
q
−
7
q
2
−
4
q
3
+
7
q
4
−
6
q
5
+
4
q
6
−
3
q
7
+
O
(
q
8
)
7q - 7q^{2} - 4q^{3} + 7q^{4} - 6q^{5} + 4q^{6} - 3q^{7} + O(q^{8})
7
q
−
7
q
2
−
4
q
3
+
7
q
4
−
6
q
5
+
4
q
6
−
3
q
7
+
O
(
q
8
)
−
1
-1
−
1
538.2.a.e
7
7
q
+
7
q
2
+
q
3
+
7
q
4
+
7
q
5
+
q
6
+
6
q
7
+
O
(
q
8
)
7q + 7q^{2} + q^{3} + 7q^{4} + 7q^{5} + q^{6} + 6q^{7} + O(q^{8})
7
q
+
7
q
2
+
q
3
+
7
q
4
+
7
q
5
+
q
6
+
6
q
7
+
O
(
q
8
)
+
1
+1
+
1