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Modular forms
› Level 539
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
Search
12 orbits; showing 1–12 ·
JSON
Label
Dim
Trace form
Sign
CM
Curve
539.2.a.a
1
q
−
2
q
2
+
q
3
+
2
q
4
−
q
5
−
2
q
6
+
O
(
q
8
)
q - 2q^{2} + q^{3} + 2q^{4} - q^{5} - 2q^{6} + O(q^{8})
q
−
2
q
2
+
q
3
+
2
q
4
−
q
5
−
2
q
6
+
O
(
q
8
)
539d1
rank 1
539.2.a.b
1
q
−
q
3
−
2
q
4
−
3
q
5
+
O
(
q
8
)
q - q^{3} - 2q^{4} - 3q^{5} + O(q^{8})
q
−
q
3
−
2
q
4
−
3
q
5
+
O
(
q
8
)
539a1
rank 0
539.2.a.c
1
q
+
3
q
3
−
2
q
4
+
q
5
+
O
(
q
8
)
q + 3q^{3} - 2q^{4} + q^{5} + O(q^{8})
q
+
3
q
3
−
2
q
4
+
q
5
+
O
(
q
8
)
539b1
rank 0
539.2.a.d
1
q
+
q
2
−
2
q
3
−
q
4
+
2
q
5
−
2
q
6
+
O
(
q
8
)
q + q^{2} - 2q^{3} - q^{4} + 2q^{5} - 2q^{6} + O(q^{8})
q
+
q
2
−
2
q
3
−
q
4
+
2
q
5
−
2
q
6
+
O
(
q
8
)
539c1
rank 1
539.2.a.e
2
2
q
−
2
q
2
−
2
q
4
+
O
(
q
8
)
2q - 2q^{2} - 2q^{4} + O(q^{8})
2
q
−
2
q
2
−
2
q
4
+
O
(
q
8
)
539.2.a.f
2
2
q
−
2
q
3
+
6
q
4
+
4
q
5
+
10
q
6
+
O
(
q
8
)
2q - 2q^{3} + 6q^{4} + 4q^{5} + 10q^{6} + O(q^{8})
2
q
−
2
q
3
+
6
q
4
+
4
q
5
+
10
q
6
+
O
(
q
8
)
539.2.a.g
3
3
q
−
3
q
3
−
6
q
5
+
3
q
6
+
O
(
q
8
)
3q - 3q^{3} - 6q^{5} + 3q^{6} + O(q^{8})
3
q
−
3
q
3
−
6
q
5
+
3
q
6
+
O
(
q
8
)
539.2.a.h
3
3
q
−
q
3
+
4
q
4
−
2
q
5
−
q
6
+
O
(
q
8
)
3q - q^{3} + 4q^{4} - 2q^{5} - q^{6} + O(q^{8})
3
q
−
q
3
+
4
q
4
−
2
q
5
−
q
6
+
O
(
q
8
)
539.2.a.i
3
3
q
+
q
3
+
4
q
4
+
2
q
5
+
q
6
+
O
(
q
8
)
3q + q^{3} + 4q^{4} + 2q^{5} + q^{6} + O(q^{8})
3
q
+
q
3
+
4
q
4
+
2
q
5
+
q
6
+
O
(
q
8
)
539.2.a.j
3
3
q
+
3
q
3
+
6
q
5
−
3
q
6
+
O
(
q
8
)
3q + 3q^{3} + 6q^{5} - 3q^{6} + O(q^{8})
3
q
+
3
q
3
+
6
q
5
−
3
q
6
+
O
(
q
8
)
539.2.a.k
4
4
q
+
2
q
2
+
10
q
4
+
O
(
q
8
)
4q + 2q^{2} + 10q^{4} + O(q^{8})
4
q
+
2
q
2
+
10
q
4
+
O
(
q
8
)
539.2.a.l
10
10
q
+
2
q
2
+
18
q
4
+
O
(
q
8
)
10q + 2q^{2} + 18q^{4} + O(q^{8})
10
q
+
2
q
2
+
18
q
4
+
O
(
q
8
)