🌿 Sagebrush
Atlas
Modular forms
Search
About
For agents
Notebook
Go
Atlas
›
Modular forms
› Level 685
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
Search
5 orbits; showing 1–5 ·
JSON
Label
Dim
Trace form
Sign
CM
Curve
685.2.a.a
1
q
+
q
2
−
q
4
−
q
5
+
3
q
7
+
O
(
q
8
)
q + q^{2} - q^{4} - q^{5} + 3q^{7} + O(q^{8})
q
+
q
2
−
q
4
−
q
5
+
3
q
7
+
O
(
q
8
)
−
1
-1
−
1
685a1
rank 1
685.2.a.b
8
8
q
−
3
q
2
−
5
q
3
+
3
q
4
+
8
q
5
−
6
q
6
−
4
q
7
+
O
(
q
8
)
8q - 3q^{2} - 5q^{3} + 3q^{4} + 8q^{5} - 6q^{6} - 4q^{7} + O(q^{8})
8
q
−
3
q
2
−
5
q
3
+
3
q
4
+
8
q
5
−
6
q
6
−
4
q
7
+
O
(
q
8
)
−
1
-1
−
1
685.2.a.c
11
11
q
−
6
q
2
−
7
q
3
+
16
q
4
−
11
q
5
+
2
q
6
−
9
q
7
+
O
(
q
8
)
11q - 6q^{2} - 7q^{3} + 16q^{4} - 11q^{5} + 2q^{6} - 9q^{7} + O(q^{8})
11
q
−
6
q
2
−
7
q
3
+
16
q
4
−
11
q
5
+
2
q
6
−
9
q
7
+
O
(
q
8
)
−
1
-1
−
1
685.2.a.d
11
11
q
+
6
q
2
+
7
q
3
+
12
q
4
−
11
q
5
+
6
q
7
+
O
(
q
8
)
11q + 6q^{2} + 7q^{3} + 12q^{4} - 11q^{5} + 6q^{7} + O(q^{8})
11
q
+
6
q
2
+
7
q
3
+
12
q
4
−
11
q
5
+
6
q
7
+
O
(
q
8
)
+
1
+1
+
1
685.2.a.e
14
14
q
+
5
q
2
+
5
q
3
+
17
q
4
+
14
q
5
+
O
(
q
8
)
14q + 5q^{2} + 5q^{3} + 17q^{4} + 14q^{5} + O(q^{8})
14
q
+
5
q
2
+
5
q
3
+
17
q
4
+
14
q
5
+
O
(
q
8
)
+
1
+1
+
1