🌿 Sagebrush
Atlas
Modular forms
Search
About
For agents
Notebook
Go
Atlas
›
Modular forms
› Level 686
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
Search
6 orbits; showing 1–6 ·
JSON
Label
Dim
Trace form
Sign
CM
Curve
686.2.a.a
3
3
q
−
3
q
2
−
q
3
+
3
q
4
+
q
6
+
O
(
q
8
)
3q - 3q^{2} - q^{3} + 3q^{4} + q^{6} + O(q^{8})
3
q
−
3
q
2
−
q
3
+
3
q
4
+
q
6
+
O
(
q
8
)
686.2.a.b
3
3
q
−
3
q
2
+
q
3
+
3
q
4
−
q
6
+
O
(
q
8
)
3q - 3q^{2} + q^{3} + 3q^{4} - q^{6} + O(q^{8})
3
q
−
3
q
2
+
q
3
+
3
q
4
−
q
6
+
O
(
q
8
)
686.2.a.c
3
3
q
+
3
q
2
−
5
q
3
+
3
q
4
−
4
q
5
−
5
q
6
+
O
(
q
8
)
3q + 3q^{2} - 5q^{3} + 3q^{4} - 4q^{5} - 5q^{6} + O(q^{8})
3
q
+
3
q
2
−
5
q
3
+
3
q
4
−
4
q
5
−
5
q
6
+
O
(
q
8
)
686.2.a.d
3
3
q
+
3
q
2
+
5
q
3
+
3
q
4
+
4
q
5
+
5
q
6
+
O
(
q
8
)
3q + 3q^{2} + 5q^{3} + 3q^{4} + 4q^{5} + 5q^{6} + O(q^{8})
3
q
+
3
q
2
+
5
q
3
+
3
q
4
+
4
q
5
+
5
q
6
+
O
(
q
8
)
686.2.a.e
6
6
q
−
6
q
2
+
6
q
4
+
O
(
q
8
)
6q - 6q^{2} + 6q^{4} + O(q^{8})
6
q
−
6
q
2
+
6
q
4
+
O
(
q
8
)
686.2.a.f
6
6
q
+
6
q
2
+
6
q
4
+
O
(
q
8
)
6q + 6q^{2} + 6q^{4} + O(q^{8})
6
q
+
6
q
2
+
6
q
4
+
O
(
q
8
)