🌿 Sagebrush
Atlas
Modular forms
Search
About
For agents
Notebook
Go
Atlas
›
Modular forms
› Level 503
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
503.2.a.a
1
q
−
q
2
+
q
3
−
q
4
−
4
q
5
−
q
6
−
3
q
7
+
O
(
q
8
)
q - q^{2} + q^{3} - q^{4} - 4q^{5} - q^{6} - 3q^{7} + O(q^{8})
q
−
q
2
+
q
3
−
q
4
−
4
q
5
−
q
6
−
3
q
7
+
O
(
q
8
)
+
1
+1
+
1
503c1
rank 0
503.2.a.b
1
q
+
q
2
+
q
3
−
q
4
−
2
q
5
+
q
6
−
3
q
7
+
O
(
q
8
)
q + q^{2} + q^{3} - q^{4} - 2q^{5} + q^{6} - 3q^{7} + O(q^{8})
q
+
q
2
+
q
3
−
q
4
−
2
q
5
+
q
6
−
3
q
7
+
O
(
q
8
)
−
1
-1
−
1
503a1
rank 1
503.2.a.c
1
q
+
q
2
+
3
q
3
−
q
4
−
2
q
5
+
3
q
6
+
3
q
7
+
O
(
q
8
)
q + q^{2} + 3q^{3} - q^{4} - 2q^{5} + 3q^{6} + 3q^{7} + O(q^{8})
q
+
q
2
+
3
q
3
−
q
4
−
2
q
5
+
3
q
6
+
3
q
7
+
O
(
q
8
)
+
1
+1
+
1
503b1
rank 0
503.2.a.d
3
3
q
+
q
3
+
4
q
4
+
q
6
+
q
7
+
O
(
q
8
)
3q + q^{3} + 4q^{4} + q^{6} + q^{7} + O(q^{8})
3
q
+
q
3
+
4
q
4
+
q
6
+
q
7
+
O
(
q
8
)
+
1
+1
+
1
503.2.a.e
10
10
q
−
4
q
2
−
8
q
3
+
4
q
4
−
q
5
−
2
q
6
−
5
q
7
+
O
(
q
8
)
10q - 4q^{2} - 8q^{3} + 4q^{4} - q^{5} - 2q^{6} - 5q^{7} + O(q^{8})
10
q
−
4
q
2
−
8
q
3
+
4
q
4
−
q
5
−
2
q
6
−
5
q
7
+
O
(
q
8
)
−
1
-1
−
1
503.2.a.f
26
26
q
+
4
q
2
+
4
q
3
+
36
q
4
+
9
q
5
−
4
q
6
+
11
q
7
+
O
(
q
8
)
26q + 4q^{2} + 4q^{3} + 36q^{4} + 9q^{5} - 4q^{6} + 11q^{7} + O(q^{8})
26
q
+
4
q
2
+
4
q
3
+
36
q
4
+
9
q
5
−
4
q
6
+
11
q
7
+
O
(
q
8
)
+
1
+1
+
1