🌿 Sagebrush
Atlas
Modular forms
Search
About
For agents
Notebook
Go
Atlas
›
Modular forms
› Level 583
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
Search
9 orbits; showing 1–9 ·
JSON
Label
Dim
Trace form
Sign
CM
Curve
583.2.a.a
1
q
+
q
2
−
q
3
−
q
4
+
4
q
5
−
q
6
+
4
q
7
+
O
(
q
8
)
q + q^{2} - q^{3} - q^{4} + 4q^{5} - q^{6} + 4q^{7} + O(q^{8})
q
+
q
2
−
q
3
−
q
4
+
4
q
5
−
q
6
+
4
q
7
+
O
(
q
8
)
+
1
+1
+
1
583b1
rank 0
583.2.a.b
1
q
+
2
q
2
+
q
3
+
2
q
4
+
3
q
5
+
2
q
6
+
O
(
q
8
)
q + 2q^{2} + q^{3} + 2q^{4} + 3q^{5} + 2q^{6} + O(q^{8})
q
+
2
q
2
+
q
3
+
2
q
4
+
3
q
5
+
2
q
6
+
O
(
q
8
)
+
1
+1
+
1
583a1
rank 0
583.2.a.c
1
q
+
2
q
2
+
3
q
3
+
2
q
4
−
3
q
5
+
6
q
6
+
2
q
7
+
O
(
q
8
)
q + 2q^{2} + 3q^{3} + 2q^{4} - 3q^{5} + 6q^{6} + 2q^{7} + O(q^{8})
q
+
2
q
2
+
3
q
3
+
2
q
4
−
3
q
5
+
6
q
6
+
2
q
7
+
O
(
q
8
)
+
1
+1
+
1
583c1
rank 0
583.2.a.d
2
2
q
−
2
q
2
+
4
q
4
+
6
q
6
−
2
q
7
+
O
(
q
8
)
2q - 2q^{2} + 4q^{4} + 6q^{6} - 2q^{7} + O(q^{8})
2
q
−
2
q
2
+
4
q
4
+
6
q
6
−
2
q
7
+
O
(
q
8
)
−
1
-1
−
1
583.2.a.e
2
2
q
−
2
q
3
−
6
q
5
+
4
q
6
+
4
q
7
+
O
(
q
8
)
2q - 2q^{3} - 6q^{5} + 4q^{6} + 4q^{7} + O(q^{8})
2
q
−
2
q
3
−
6
q
5
+
4
q
6
+
4
q
7
+
O
(
q
8
)
−
1
-1
−
1
583.2.a.f
6
6
q
−
2
q
2
+
2
q
3
+
8
q
4
−
3
q
5
−
20
q
6
−
11
q
7
+
O
(
q
8
)
6q - 2q^{2} + 2q^{3} + 8q^{4} - 3q^{5} - 20q^{6} - 11q^{7} + O(q^{8})
6
q
−
2
q
2
+
2
q
3
+
8
q
4
−
3
q
5
−
20
q
6
−
11
q
7
+
O
(
q
8
)
−
1
-1
−
1
583.2.a.g
8
8
q
−
2
q
2
−
8
q
3
+
6
q
4
−
11
q
5
+
2
q
6
−
q
7
+
O
(
q
8
)
8q - 2q^{2} - 8q^{3} + 6q^{4} - 11q^{5} + 2q^{6} - q^{7} + O(q^{8})
8
q
−
2
q
2
−
8
q
3
+
6
q
4
−
11
q
5
+
2
q
6
−
q
7
+
O
(
q
8
)
−
1
-1
−
1
583.2.a.h
10
10
q
+
3
q
2
−
q
3
+
9
q
4
+
8
q
5
−
2
q
6
+
3
q
7
+
O
(
q
8
)
10q + 3q^{2} - q^{3} + 9q^{4} + 8q^{5} - 2q^{6} + 3q^{7} + O(q^{8})
10
q
+
3
q
2
−
q
3
+
9
q
4
+
8
q
5
−
2
q
6
+
3
q
7
+
O
(
q
8
)
+
1
+1
+
1
583.2.a.i
12
12
q
+
q
2
+
6
q
3
+
15
q
4
+
10
q
5
−
5
q
6
−
3
q
7
+
O
(
q
8
)
12q + q^{2} + 6q^{3} + 15q^{4} + 10q^{5} - 5q^{6} - 3q^{7} + O(q^{8})
12
q
+
q
2
+
6
q
3
+
15
q
4
+
10
q
5
−
5
q
6
−
3
q
7
+
O
(
q
8
)
+
1
+1
+
1