🌿 Sagebrush
Atlas
Modular forms
Search
About
For agents
Notebook
Go
Atlas
›
Modular forms
› Level 623
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
623.2.a.a
1
q
+
q
2
−
q
3
−
q
4
+
q
5
−
q
6
+
q
7
+
O
(
q
8
)
q + q^{2} - q^{3} - q^{4} + q^{5} - q^{6} + q^{7} + O(q^{8})
q
+
q
2
−
q
3
−
q
4
+
q
5
−
q
6
+
q
7
+
O
(
q
8
)
−
1
-1
−
1
623a1
rank 1
623.2.a.b
2
2
q
−
2
q
2
−
2
q
4
−
2
q
5
−
2
q
7
+
O
(
q
8
)
2q - 2q^{2} - 2q^{4} - 2q^{5} - 2q^{7} + O(q^{8})
2
q
−
2
q
2
−
2
q
4
−
2
q
5
−
2
q
7
+
O
(
q
8
)
−
1
-1
−
1
623.2.a.c
4
4
q
+
q
2
−
2
q
3
+
3
q
4
+
2
q
6
−
4
q
7
+
O
(
q
8
)
4q + q^{2} - 2q^{3} + 3q^{4} + 2q^{6} - 4q^{7} + O(q^{8})
4
q
+
q
2
−
2
q
3
+
3
q
4
+
2
q
6
−
4
q
7
+
O
(
q
8
)
−
1
-1
−
1
623.2.a.d
5
5
q
−
2
q
2
−
3
q
3
+
2
q
4
−
5
q
5
−
5
q
6
+
5
q
7
+
O
(
q
8
)
5q - 2q^{2} - 3q^{3} + 2q^{4} - 5q^{5} - 5q^{6} + 5q^{7} + O(q^{8})
5
q
−
2
q
2
−
3
q
3
+
2
q
4
−
5
q
5
−
5
q
6
+
5
q
7
+
O
(
q
8
)
−
1
-1
−
1
623.2.a.e
16
16
q
+
6
q
3
+
16
q
4
+
6
q
5
−
2
q
6
+
16
q
7
+
O
(
q
8
)
16q + 6q^{3} + 16q^{4} + 6q^{5} - 2q^{6} + 16q^{7} + O(q^{8})
16
q
+
6
q
3
+
16
q
4
+
6
q
5
−
2
q
6
+
16
q
7
+
O
(
q
8
)
+
1
+1
+
1
623.2.a.f
17
17
q
+
3
q
2
+
4
q
3
+
23
q
4
+
6
q
5
−
2
q
6
−
17
q
7
+
O
(
q
8
)
17q + 3q^{2} + 4q^{3} + 23q^{4} + 6q^{5} - 2q^{6} - 17q^{7} + O(q^{8})
17
q
+
3
q
2
+
4
q
3
+
23
q
4
+
6
q
5
−
2
q
6
−
17
q
7
+
O
(
q
8
)
+
1
+1
+
1