🌿 Sagebrush
Atlas
Modular forms
Search
About
For agents
Notebook
Go
Atlas
›
Modular forms
› Level 529
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
Search
10 orbits; showing 1–10 ·
JSON
Label
Dim
Trace form
Sign
CM
Curve
529.2.a.a
2
2
q
−
q
2
−
q
4
+
2
q
5
−
5
q
6
−
2
q
7
+
O
(
q
8
)
2q - q^{2} - q^{4} + 2q^{5} - 5q^{6} - 2q^{7} + O(q^{8})
2
q
−
q
2
−
q
4
+
2
q
5
−
5
q
6
−
2
q
7
+
O
(
q
8
)
529.2.a.b
2
2
q
+
2
q
3
+
2
q
4
+
6
q
6
−
6
q
7
+
O
(
q
8
)
2q + 2q^{3} + 2q^{4} + 6q^{6} - 6q^{7} + O(q^{8})
2
q
+
2
q
3
+
2
q
4
+
6
q
6
−
6
q
7
+
O
(
q
8
)
529.2.a.c
2
2
q
+
2
q
3
+
2
q
4
+
6
q
6
+
6
q
7
+
O
(
q
8
)
2q + 2q^{3} + 2q^{4} + 6q^{6} + 6q^{7} + O(q^{8})
2
q
+
2
q
3
+
2
q
4
+
6
q
6
+
6
q
7
+
O
(
q
8
)
529.2.a.d
2
2
q
+
2
q
2
+
2
q
4
−
2
q
5
+
4
q
6
−
4
q
7
+
O
(
q
8
)
2q + 2q^{2} + 2q^{4} - 2q^{5} + 4q^{6} - 4q^{7} + O(q^{8})
2
q
+
2
q
2
+
2
q
4
−
2
q
5
+
4
q
6
−
4
q
7
+
O
(
q
8
)
529.2.a.e
2
2
q
+
2
q
2
+
2
q
4
+
2
q
5
+
4
q
6
+
4
q
7
+
O
(
q
8
)
2q + 2q^{2} + 2q^{4} + 2q^{5} + 4q^{6} + 4q^{7} + O(q^{8})
2
q
+
2
q
2
+
2
q
4
+
2
q
5
+
4
q
6
+
4
q
7
+
O
(
q
8
)
529.2.a.f
3
3
q
+
6
q
4
+
3
q
6
+
O
(
q
8
)
3q + 6q^{4} + 3q^{6} + O(q^{8})
3
q
+
6
q
4
+
3
q
6
+
O
(
q
8
)
Q
(
−
23
)
\mathbb{Q}(\sqrt{-23})
Q
(
−
23
)
529.2.a.g
4
4
q
−
4
q
2
−
4
q
3
−
4
q
4
+
4
q
6
+
O
(
q
8
)
4q - 4q^{2} - 4q^{3} - 4q^{4} + 4q^{6} + O(q^{8})
4
q
−
4
q
2
−
4
q
3
−
4
q
4
+
4
q
6
+
O
(
q
8
)
529.2.a.h
4
4
q
−
2
q
2
−
4
q
3
+
6
q
4
+
2
q
6
+
O
(
q
8
)
4q - 2q^{2} - 4q^{3} + 6q^{4} + 2q^{6} + O(q^{8})
4
q
−
2
q
2
−
4
q
3
+
6
q
4
+
2
q
6
+
O
(
q
8
)
529.2.a.i
5
5
q
+
2
q
2
+
2
q
3
+
4
q
4
−
7
q
5
−
8
q
6
−
8
q
7
+
O
(
q
8
)
5q + 2q^{2} + 2q^{3} + 4q^{4} - 7q^{5} - 8q^{6} - 8q^{7} + O(q^{8})
5
q
+
2
q
2
+
2
q
3
+
4
q
4
−
7
q
5
−
8
q
6
−
8
q
7
+
O
(
q
8
)
529.2.a.j
5
5
q
+
2
q
2
+
2
q
3
+
4
q
4
+
7
q
5
−
8
q
6
+
8
q
7
+
O
(
q
8
)
5q + 2q^{2} + 2q^{3} + 4q^{4} + 7q^{5} - 8q^{6} + 8q^{7} + O(q^{8})
5
q
+
2
q
2
+
2
q
3
+
4
q
4
+
7
q
5
−
8
q
6
+
8
q
7
+
O
(
q
8
)