🌿 Sagebrush
Atlas
Modular forms
Search
About
For agents
Notebook
Go
Atlas
›
Modular forms
› Level 81
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
Search
11 orbits; showing 1–11 ·
JSON
Label
Dim
Trace form
Sign
CM
Curve
81.2.a.a
2
2
q
+
2
q
4
+
4
q
7
+
O
(
q
8
)
2q + 2q^{4} + 4q^{7} + O(q^{8})
2
q
+
2
q
4
+
4
q
7
+
O
(
q
8
)
81.4.a.a
2
2
q
−
3
q
2
+
5
q
4
−
15
q
5
+
7
q
7
+
O
(
q
8
)
2q - 3q^{2} + 5q^{4} - 15q^{5} + 7q^{7} + O(q^{8})
2
q
−
3
q
2
+
5
q
4
−
15
q
5
+
7
q
7
+
O
(
q
8
)
81.4.a.b
2
2
q
−
3
q
2
+
17
q
4
+
12
q
5
+
10
q
7
+
O
(
q
8
)
2q - 3q^{2} + 17q^{4} + 12q^{5} + 10q^{7} + O(q^{8})
2
q
−
3
q
2
+
17
q
4
+
12
q
5
+
10
q
7
+
O
(
q
8
)
81.4.a.c
2
2
q
−
10
q
4
−
44
q
7
+
O
(
q
8
)
2q - 10q^{4} - 44q^{7} + O(q^{8})
2
q
−
10
q
4
−
44
q
7
+
O
(
q
8
)
81.4.a.d
2
2
q
+
3
q
2
+
5
q
4
+
15
q
5
+
7
q
7
+
O
(
q
8
)
2q + 3q^{2} + 5q^{4} + 15q^{5} + 7q^{7} + O(q^{8})
2
q
+
3
q
2
+
5
q
4
+
15
q
5
+
7
q
7
+
O
(
q
8
)
81.4.a.e
2
2
q
+
3
q
2
+
17
q
4
−
12
q
5
+
10
q
7
+
O
(
q
8
)
2q + 3q^{2} + 17q^{4} - 12q^{5} + 10q^{7} + O(q^{8})
2
q
+
3
q
2
+
17
q
4
−
12
q
5
+
10
q
7
+
O
(
q
8
)
81.6.a.a
2
2
q
−
3
q
2
+
5
q
4
+
30
q
5
−
128
q
7
+
O
(
q
8
)
2q - 3q^{2} + 5q^{4} + 30q^{5} - 128q^{7} + O(q^{8})
2
q
−
3
q
2
+
5
q
4
+
30
q
5
−
128
q
7
+
O
(
q
8
)
81.6.a.b
2
2
q
+
3
q
2
+
5
q
4
−
30
q
5
−
128
q
7
+
O
(
q
8
)
2q + 3q^{2} + 5q^{4} - 30q^{5} - 128q^{7} + O(q^{8})
2
q
+
3
q
2
+
5
q
4
−
30
q
5
−
128
q
7
+
O
(
q
8
)
81.6.a.c
4
4
q
−
3
q
2
+
49
q
4
−
78
q
5
−
28
q
7
+
O
(
q
8
)
4q - 3q^{2} + 49q^{4} - 78q^{5} - 28q^{7} + O(q^{8})
4
q
−
3
q
2
+
49
q
4
−
78
q
5
−
28
q
7
+
O
(
q
8
)
81.6.a.d
4
4
q
+
3
q
2
+
49
q
4
+
78
q
5
−
28
q
7
+
O
(
q
8
)
4q + 3q^{2} + 49q^{4} + 78q^{5} - 28q^{7} + O(q^{8})
4
q
+
3
q
2
+
49
q
4
+
78
q
5
−
28
q
7
+
O
(
q
8
)
81.6.a.e
6
6
q
+
150
q
4
+
372
q
7
+
O
(
q
8
)
6q + 150q^{4} + 372q^{7} + O(q^{8})
6
q
+
150
q
4
+
372
q
7
+
O
(
q
8
)