🌿 Sagebrush
Atlas
Modular forms
Search
About
For agents
Notebook
Go
Atlas
›
Modular forms
› Level 397
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
397.2.a.a
2
2
q
−
2
q
2
+
2
q
4
−
4
q
5
+
6
q
7
+
O
(
q
8
)
2q - 2q^{2} + 2q^{4} - 4q^{5} + 6q^{7} + O(q^{8})
2
q
−
2
q
2
+
2
q
4
−
4
q
5
+
6
q
7
+
O
(
q
8
)
−
1
-1
−
1
397.2.a.b
2
2
q
+
2
q
2
+
4
q
3
+
2
q
4
−
2
q
7
+
O
(
q
8
)
2q + 2q^{2} + 4q^{3} + 2q^{4} - 2q^{7} + O(q^{8})
2
q
+
2
q
2
+
4
q
3
+
2
q
4
−
2
q
7
+
O
(
q
8
)
+
1
+1
+
1
397.2.a.c
5
5
q
+
5
q
3
+
2
q
4
−
2
q
5
+
12
q
6
+
q
7
+
O
(
q
8
)
5q + 5q^{3} + 2q^{4} - 2q^{5} + 12q^{6} + q^{7} + O(q^{8})
5
q
+
5
q
3
+
2
q
4
−
2
q
5
+
12
q
6
+
q
7
+
O
(
q
8
)
+
1
+1
+
1
397.2.a.d
10
10
q
+
7
q
2
+
13
q
4
+
7
q
5
−
11
q
6
+
10
q
7
+
O
(
q
8
)
10q + 7q^{2} + 13q^{4} + 7q^{5} - 11q^{6} + 10q^{7} + O(q^{8})
10
q
+
7
q
2
+
13
q
4
+
7
q
5
−
11
q
6
+
10
q
7
+
O
(
q
8
)
+
1
+1
+
1
397.2.a.e
13
13
q
−
7
q
2
−
11
q
3
+
13
q
4
−
5
q
5
−
q
6
−
17
q
7
+
O
(
q
8
)
13q - 7q^{2} - 11q^{3} + 13q^{4} - 5q^{5} - q^{6} - 17q^{7} + O(q^{8})
13
q
−
7
q
2
−
11
q
3
+
13
q
4
−
5
q
5
−
q
6
−
17
q
7
+
O
(
q
8
)
−
1
-1
−
1