🌿 Sagebrush
Atlas
Modular forms
Search
About
For agents
Notebook
Go
Atlas
›
Modular forms
› Level 815
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
815.2.a.a
1
q
−
2
q
3
−
2
q
4
+
q
5
+
2
q
7
+
O
(
q
8
)
q - 2q^{3} - 2q^{4} + q^{5} + 2q^{7} + O(q^{8})
q
−
2
q
3
−
2
q
4
+
q
5
+
2
q
7
+
O
(
q
8
)
−
1
-1
−
1
815a1
rank 1
815.2.a.b
5
5
q
−
2
q
2
+
2
q
4
+
5
q
5
−
3
q
6
−
5
q
7
+
O
(
q
8
)
5q - 2q^{2} + 2q^{4} + 5q^{5} - 3q^{6} - 5q^{7} + O(q^{8})
5
q
−
2
q
2
+
2
q
4
+
5
q
5
−
3
q
6
−
5
q
7
+
O
(
q
8
)
−
1
-1
−
1
815.2.a.c
6
6
q
−
5
q
2
+
8
q
3
+
7
q
4
+
6
q
5
+
q
6
+
O
(
q
8
)
6q - 5q^{2} + 8q^{3} + 7q^{4} + 6q^{5} + q^{6} + O(q^{8})
6
q
−
5
q
2
+
8
q
3
+
7
q
4
+
6
q
5
+
q
6
+
O
(
q
8
)
+
1
+1
+
1
815.2.a.d
7
7
q
−
2
q
2
−
2
q
3
+
2
q
4
−
7
q
5
+
5
q
6
−
3
q
7
+
O
(
q
8
)
7q - 2q^{2} - 2q^{3} + 2q^{4} - 7q^{5} + 5q^{6} - 3q^{7} + O(q^{8})
7
q
−
2
q
2
−
2
q
3
+
2
q
4
−
7
q
5
+
5
q
6
−
3
q
7
+
O
(
q
8
)
−
1
-1
−
1
815.2.a.e
16
16
q
+
7
q
2
−
6
q
3
+
21
q
4
+
16
q
5
+
4
q
6
+
3
q
7
+
O
(
q
8
)
16q + 7q^{2} - 6q^{3} + 21q^{4} + 16q^{5} + 4q^{6} + 3q^{7} + O(q^{8})
16
q
+
7
q
2
−
6
q
3
+
21
q
4
+
16
q
5
+
4
q
6
+
3
q
7
+
O
(
q
8
)
+
1
+1
+
1
815.2.a.f
20
20
q
+
5
q
2
+
6
q
3
+
27
q
4
−
20
q
5
+
q
6
+
11
q
7
+
O
(
q
8
)
20q + 5q^{2} + 6q^{3} + 27q^{4} - 20q^{5} + q^{6} + 11q^{7} + O(q^{8})
20
q
+
5
q
2
+
6
q
3
+
27
q
4
−
20
q
5
+
q
6
+
11
q
7
+
O
(
q
8
)
+
1
+1
+
1