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Modular forms
› Level 566
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
Search
7 orbits; showing 1–7 ·
JSON
Label
Dim
Trace form
Sign
CM
Curve
566.2.a.a
1
q
−
q
2
+
q
4
+
q
7
+
O
(
q
8
)
q - q^{2} + q^{4} + q^{7} + O(q^{8})
q
−
q
2
+
q
4
+
q
7
+
O
(
q
8
)
−
1
-1
−
1
566a1
rank 1
566.2.a.b
1
q
+
q
2
+
q
3
+
q
4
−
2
q
5
+
q
6
+
3
q
7
+
O
(
q
8
)
q + q^{2} + q^{3} + q^{4} - 2q^{5} + q^{6} + 3q^{7} + O(q^{8})
q
+
q
2
+
q
3
+
q
4
−
2
q
5
+
q
6
+
3
q
7
+
O
(
q
8
)
+
1
+1
+
1
566b1
rank 0
566.2.a.c
2
2
q
−
2
q
2
+
q
3
+
2
q
4
−
q
5
−
q
6
−
5
q
7
+
O
(
q
8
)
2q - 2q^{2} + q^{3} + 2q^{4} - q^{5} - q^{6} - 5q^{7} + O(q^{8})
2
q
−
2
q
2
+
q
3
+
2
q
4
−
q
5
−
q
6
−
5
q
7
+
O
(
q
8
)
−
1
-1
−
1
566.2.a.d
2
2
q
+
2
q
2
−
3
q
3
+
2
q
4
−
q
5
−
3
q
6
−
5
q
7
+
O
(
q
8
)
2q + 2q^{2} - 3q^{3} + 2q^{4} - q^{5} - 3q^{6} - 5q^{7} + O(q^{8})
2
q
+
2
q
2
−
3
q
3
+
2
q
4
−
q
5
−
3
q
6
−
5
q
7
+
O
(
q
8
)
−
1
-1
−
1
566.2.a.e
4
4
q
−
4
q
2
+
q
3
+
4
q
4
−
2
q
5
−
q
6
−
5
q
7
+
O
(
q
8
)
4q - 4q^{2} + q^{3} + 4q^{4} - 2q^{5} - q^{6} - 5q^{7} + O(q^{8})
4
q
−
4
q
2
+
q
3
+
4
q
4
−
2
q
5
−
q
6
−
5
q
7
+
O
(
q
8
)
+
1
+1
+
1
566.2.a.f
5
5
q
−
5
q
2
−
3
q
3
+
5
q
4
+
6
q
5
+
3
q
6
+
11
q
7
+
O
(
q
8
)
5q - 5q^{2} - 3q^{3} + 5q^{4} + 6q^{5} + 3q^{6} + 11q^{7} + O(q^{8})
5
q
−
5
q
2
−
3
q
3
+
5
q
4
+
6
q
5
+
3
q
6
+
11
q
7
+
O
(
q
8
)
+
1
+1
+
1
566.2.a.g
9
9
q
+
9
q
2
+
3
q
3
+
9
q
4
+
3
q
6
+
4
q
7
+
O
(
q
8
)
9q + 9q^{2} + 3q^{3} + 9q^{4} + 3q^{6} + 4q^{7} + O(q^{8})
9
q
+
9
q
2
+
3
q
3
+
9
q
4
+
3
q
6
+
4
q
7
+
O
(
q
8
)
+
1
+1
+
1