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Modular forms
› Level 565
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
Search
5 orbits; showing 1–5 ·
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Label
Dim
Trace form
Sign
CM
Curve
565.2.a.a
1
q
+
q
2
−
2
q
3
−
q
4
−
q
5
−
2
q
6
+
q
7
+
O
(
q
8
)
q + q^{2} - 2q^{3} - q^{4} - q^{5} - 2q^{6} + q^{7} + O(q^{8})
q
+
q
2
−
2
q
3
−
q
4
−
q
5
−
2
q
6
+
q
7
+
O
(
q
8
)
+
1
+1
+
1
565a1
rank 0
565.2.a.b
6
6
q
−
3
q
2
−
3
q
3
+
q
4
+
6
q
5
−
2
q
6
−
4
q
7
+
O
(
q
8
)
6q - 3q^{2} - 3q^{3} + q^{4} + 6q^{5} - 2q^{6} - 4q^{7} + O(q^{8})
6
q
−
3
q
2
−
3
q
3
+
q
4
+
6
q
5
−
2
q
6
−
4
q
7
+
O
(
q
8
)
−
1
-1
−
1
565.2.a.c
8
8
q
+
5
q
2
+
7
q
3
+
11
q
4
−
8
q
5
−
2
q
6
+
5
q
7
+
O
(
q
8
)
8q + 5q^{2} + 7q^{3} + 11q^{4} - 8q^{5} - 2q^{6} + 5q^{7} + O(q^{8})
8
q
+
5
q
2
+
7
q
3
+
11
q
4
−
8
q
5
−
2
q
6
+
5
q
7
+
O
(
q
8
)
+
1
+1
+
1
565.2.a.d
10
10
q
−
5
q
2
−
5
q
3
+
13
q
4
−
10
q
5
−
2
q
6
−
6
q
7
+
O
(
q
8
)
10q - 5q^{2} - 5q^{3} + 13q^{4} - 10q^{5} - 2q^{6} - 6q^{7} + O(q^{8})
10
q
−
5
q
2
−
5
q
3
+
13
q
4
−
10
q
5
−
2
q
6
−
6
q
7
+
O
(
q
8
)
−
1
-1
−
1
565.2.a.e
12
12
q
+
5
q
2
+
3
q
3
+
15
q
4
+
12
q
5
+
4
q
6
+
O
(
q
8
)
12q + 5q^{2} + 3q^{3} + 15q^{4} + 12q^{5} + 4q^{6} + O(q^{8})
12
q
+
5
q
2
+
3
q
3
+
15
q
4
+
12
q
5
+
4
q
6
+
O
(
q
8
)
+
1
+1
+
1