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Modular forms
› Level 66
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
66.2.a.a
1
q
−
q
2
+
q
3
+
q
4
−
q
6
+
2
q
7
+
O
(
q
8
)
q - q^{2} + q^{3} + q^{4} - q^{6} + 2q^{7} + O(q^{8})
q
−
q
2
+
q
3
+
q
4
−
q
6
+
2
q
7
+
O
(
q
8
)
+
1
+1
+
1
66a1
rank 0
66.2.a.b
1
q
+
q
2
−
q
3
+
q
4
+
2
q
5
−
q
6
−
4
q
7
+
O
(
q
8
)
q + q^{2} - q^{3} + q^{4} + 2q^{5} - q^{6} - 4q^{7} + O(q^{8})
q
+
q
2
−
q
3
+
q
4
+
2
q
5
−
q
6
−
4
q
7
+
O
(
q
8
)
+
1
+1
+
1
66b1
rank 0
66.2.a.c
1
q
+
q
2
+
q
3
+
q
4
−
4
q
5
+
q
6
−
2
q
7
+
O
(
q
8
)
q + q^{2} + q^{3} + q^{4} - 4q^{5} + q^{6} - 2q^{7} + O(q^{8})
q
+
q
2
+
q
3
+
q
4
−
4
q
5
+
q
6
−
2
q
7
+
O
(
q
8
)
+
1
+1
+
1
66c1
rank 0
66.4.a.a
1
q
−
2
q
2
+
3
q
3
+
4
q
4
−
6
q
6
+
14
q
7
+
O
(
q
8
)
q - 2q^{2} + 3q^{3} + 4q^{4} - 6q^{6} + 14q^{7} + O(q^{8})
q
−
2
q
2
+
3
q
3
+
4
q
4
−
6
q
6
+
14
q
7
+
O
(
q
8
)
+
1
+1
+
1
66.4.a.b
1
q
+
2
q
2
−
3
q
3
+
4
q
4
+
10
q
5
−
6
q
6
+
16
q
7
+
O
(
q
8
)
q + 2q^{2} - 3q^{3} + 4q^{4} + 10q^{5} - 6q^{6} + 16q^{7} + O(q^{8})
q
+
2
q
2
−
3
q
3
+
4
q
4
+
10
q
5
−
6
q
6
+
16
q
7
+
O
(
q
8
)
+
1
+1
+
1
66.4.a.c
2
2
q
+
4
q
2
+
6
q
3
+
8
q
4
+
10
q
5
+
12
q
6
−
2
q
7
+
O
(
q
8
)
2q + 4q^{2} + 6q^{3} + 8q^{4} + 10q^{5} + 12q^{6} - 2q^{7} + O(q^{8})
2
q
+
4
q
2
+
6
q
3
+
8
q
4
+
10
q
5
+
12
q
6
−
2
q
7
+
O
(
q
8
)
+
1
+1
+
1
66.6.a.a
1
q
−
4
q
2
−
9
q
3
+
16
q
4
−
14
q
5
+
36
q
6
−
112
q
7
+
O
(
q
8
)
q - 4q^{2} - 9q^{3} + 16q^{4} - 14q^{5} + 36q^{6} - 112q^{7} + O(q^{8})
q
−
4
q
2
−
9
q
3
+
16
q
4
−
14
q
5
+
36
q
6
−
112
q
7
+
O
(
q
8
)
+
1
+1
+
1
66.6.a.b
1
q
−
4
q
2
−
9
q
3
+
16
q
4
−
14
q
5
+
36
q
6
+
130
q
7
+
O
(
q
8
)
q - 4q^{2} - 9q^{3} + 16q^{4} - 14q^{5} + 36q^{6} + 130q^{7} + O(q^{8})
q
−
4
q
2
−
9
q
3
+
16
q
4
−
14
q
5
+
36
q
6
+
130
q
7
+
O
(
q
8
)
−
1
-1
−
1
66.6.a.c
1
q
−
4
q
2
+
9
q
3
+
16
q
4
−
14
q
5
−
36
q
6
−
130
q
7
+
O
(
q
8
)
q - 4q^{2} + 9q^{3} + 16q^{4} - 14q^{5} - 36q^{6} - 130q^{7} + O(q^{8})
q
−
4
q
2
+
9
q
3
+
16
q
4
−
14
q
5
−
36
q
6
−
130
q
7
+
O
(
q
8
)
−
1
-1
−
1
66.6.a.d
1
q
+
4
q
2
−
9
q
3
+
16
q
4
+
50
q
5
−
36
q
6
+
2
q
7
+
O
(
q
8
)
q + 4q^{2} - 9q^{3} + 16q^{4} + 50q^{5} - 36q^{6} + 2q^{7} + O(q^{8})
q
+
4
q
2
−
9
q
3
+
16
q
4
+
50
q
5
−
36
q
6
+
2
q
7
+
O
(
q
8
)
+
1
+1
+
1
66.6.a.e
2
2
q
−
8
q
2
+
18
q
3
+
32
q
4
−
14
q
5
−
72
q
6
+
210
q
7
+
O
(
q
8
)
2q - 8q^{2} + 18q^{3} + 32q^{4} - 14q^{5} - 72q^{6} + 210q^{7} + O(q^{8})
2
q
−
8
q
2
+
18
q
3
+
32
q
4
−
14
q
5
−
72
q
6
+
210
q
7
+
O
(
q
8
)
+
1
+1
+
1
66.6.a.f
2
2
q
+
8
q
2
+
18
q
3
+
32
q
4
+
50
q
5
+
72
q
6
+
96
q
7
+
O
(
q
8
)
2q + 8q^{2} + 18q^{3} + 32q^{4} + 50q^{5} + 72q^{6} + 96q^{7} + O(q^{8})
2
q
+
8
q
2
+
18
q
3
+
32
q
4
+
50
q
5
+
72
q
6
+
96
q
7
+
O
(
q
8
)
+
1
+1
+
1