🌿 Sagebrush
Atlas
Modular forms
Search
About
For agents
Notebook
Go
Atlas
›
Modular forms
› Level 394
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
394.2.a.a
2
2
q
+
2
q
2
−
2
q
3
+
2
q
4
−
5
q
5
−
2
q
6
−
4
q
7
+
O
(
q
8
)
2q + 2q^{2} - 2q^{3} + 2q^{4} - 5q^{5} - 2q^{6} - 4q^{7} + O(q^{8})
2
q
+
2
q
2
−
2
q
3
+
2
q
4
−
5
q
5
−
2
q
6
−
4
q
7
+
O
(
q
8
)
−
1
-1
−
1
394.2.a.b
2
2
q
+
2
q
2
−
q
3
+
2
q
4
−
q
6
+
4
q
7
+
O
(
q
8
)
2q + 2q^{2} - q^{3} + 2q^{4} - q^{6} + 4q^{7} + O(q^{8})
2
q
+
2
q
2
−
q
3
+
2
q
4
−
q
6
+
4
q
7
+
O
(
q
8
)
+
1
+1
+
1
394.2.a.c
2
2
q
+
2
q
2
+
2
q
4
+
3
q
5
+
4
q
7
+
O
(
q
8
)
2q + 2q^{2} + 2q^{4} + 3q^{5} + 4q^{7} + O(q^{8})
2
q
+
2
q
2
+
2
q
4
+
3
q
5
+
4
q
7
+
O
(
q
8
)
+
1
+1
+
1
394.2.a.d
2
2
q
+
2
q
2
+
2
q
4
+
5
q
5
−
6
q
7
+
O
(
q
8
)
2q + 2q^{2} + 2q^{4} + 5q^{5} - 6q^{7} + O(q^{8})
2
q
+
2
q
2
+
2
q
4
+
5
q
5
−
6
q
7
+
O
(
q
8
)
+
1
+1
+
1
394.2.a.e
4
4
q
−
4
q
2
−
3
q
3
+
4
q
4
−
5
q
5
+
3
q
6
+
2
q
7
+
O
(
q
8
)
4q - 4q^{2} - 3q^{3} + 4q^{4} - 5q^{5} + 3q^{6} + 2q^{7} + O(q^{8})
4
q
−
4
q
2
−
3
q
3
+
4
q
4
−
5
q
5
+
3
q
6
+
2
q
7
+
O
(
q
8
)
−
1
-1
−
1
394.2.a.f
4
4
q
−
4
q
2
+
2
q
3
+
4
q
4
+
2
q
5
−
2
q
6
+
O
(
q
8
)
4q - 4q^{2} + 2q^{3} + 4q^{4} + 2q^{5} - 2q^{6} + O(q^{8})
4
q
−
4
q
2
+
2
q
3
+
4
q
4
+
2
q
5
−
2
q
6
+
O
(
q
8
)
+
1
+1
+
1