🌿 Sagebrush
Atlas
Modular forms
Search
About
For agents
Notebook
Go
Atlas
›
Modular forms
› Level 431
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
431.2.a.a
1
q
−
q
2
+
q
3
−
q
4
+
q
5
−
q
6
−
2
q
7
+
O
(
q
8
)
q - q^{2} + q^{3} - q^{4} + q^{5} - q^{6} - 2q^{7} + O(q^{8})
q
−
q
2
+
q
3
−
q
4
+
q
5
−
q
6
−
2
q
7
+
O
(
q
8
)
−
1
-1
−
1
431a1
rank 1
431.2.a.b
1
q
−
q
2
+
3
q
3
−
q
4
−
3
q
5
−
3
q
6
+
2
q
7
+
O
(
q
8
)
q - q^{2} + 3q^{3} - q^{4} - 3q^{5} - 3q^{6} + 2q^{7} + O(q^{8})
q
−
q
2
+
3
q
3
−
q
4
−
3
q
5
−
3
q
6
+
2
q
7
+
O
(
q
8
)
+
1
+1
+
1
431b1
rank 0
431.2.a.c
3
3
q
+
q
3
+
4
q
4
+
q
5
−
3
q
6
+
O
(
q
8
)
3q + q^{3} + 4q^{4} + q^{5} - 3q^{6} + O(q^{8})
3
q
+
q
3
+
4
q
4
+
q
5
−
3
q
6
+
O
(
q
8
)
+
1
+1
+
1
431.2.a.d
3
3
q
+
q
2
−
q
3
+
3
q
4
−
3
q
5
−
9
q
6
−
6
q
7
+
O
(
q
8
)
3q + q^{2} - q^{3} + 3q^{4} - 3q^{5} - 9q^{6} - 6q^{7} + O(q^{8})
3
q
+
q
2
−
q
3
+
3
q
4
−
3
q
5
−
9
q
6
−
6
q
7
+
O
(
q
8
)
−
1
-1
−
1
431.2.a.e
4
4
q
−
q
2
−
3
q
3
−
q
4
−
5
q
5
+
5
q
6
+
2
q
7
+
O
(
q
8
)
4q - q^{2} - 3q^{3} - q^{4} - 5q^{5} + 5q^{6} + 2q^{7} + O(q^{8})
4
q
−
q
2
−
3
q
3
−
q
4
−
5
q
5
+
5
q
6
+
2
q
7
+
O
(
q
8
)
−
1
-1
−
1
431.2.a.f
24
24
q
+
q
2
+
q
3
+
33
q
4
+
13
q
5
+
17
q
6
+
8
q
7
+
O
(
q
8
)
24q + q^{2} + q^{3} + 33q^{4} + 13q^{5} + 17q^{6} + 8q^{7} + O(q^{8})
24
q
+
q
2
+
q
3
+
33
q
4
+
13
q
5
+
17
q
6
+
8
q
7
+
O
(
q
8
)
+
1
+1
+
1