🌿 Sagebrush
Atlas
Modular forms
Search
About
For agents
Notebook
Go
Atlas
›
Modular forms
› Level 445
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
Search
7 orbits; showing 1–7 ·
JSON
Label
Dim
Trace form
Sign
CM
Curve
445.2.a.a
2
2
q
−
2
q
2
−
2
q
3
−
2
q
4
−
2
q
5
+
2
q
6
+
2
q
7
+
O
(
q
8
)
2q - 2q^{2} - 2q^{3} - 2q^{4} - 2q^{5} + 2q^{6} + 2q^{7} + O(q^{8})
2
q
−
2
q
2
−
2
q
3
−
2
q
4
−
2
q
5
+
2
q
6
+
2
q
7
+
O
(
q
8
)
−
1
-1
−
1
445.2.a.b
2
2
q
+
2
q
3
+
2
q
4
+
2
q
5
+
6
q
6
−
2
q
7
+
O
(
q
8
)
2q + 2q^{3} + 2q^{4} + 2q^{5} + 6q^{6} - 2q^{7} + O(q^{8})
2
q
+
2
q
3
+
2
q
4
+
2
q
5
+
6
q
6
−
2
q
7
+
O
(
q
8
)
+
1
+1
+
1
445.2.a.c
2
2
q
+
2
q
2
+
2
q
4
+
2
q
5
−
4
q
6
+
O
(
q
8
)
2q + 2q^{2} + 2q^{4} + 2q^{5} - 4q^{6} + O(q^{8})
2
q
+
2
q
2
+
2
q
4
+
2
q
5
−
4
q
6
+
O
(
q
8
)
+
1
+1
+
1
445.2.a.d
4
4
q
+
q
2
−
2
q
3
+
3
q
4
−
4
q
5
−
6
q
6
+
2
q
7
+
O
(
q
8
)
4q + q^{2} - 2q^{3} + 3q^{4} - 4q^{5} - 6q^{6} + 2q^{7} + O(q^{8})
4
q
+
q
2
−
2
q
3
+
3
q
4
−
4
q
5
−
6
q
6
+
2
q
7
+
O
(
q
8
)
−
1
-1
−
1
445.2.a.e
4
4
q
+
q
2
+
4
q
3
+
3
q
4
+
4
q
5
−
6
q
6
+
12
q
7
+
O
(
q
8
)
4q + q^{2} + 4q^{3} + 3q^{4} + 4q^{5} - 6q^{6} + 12q^{7} + O(q^{8})
4
q
+
q
2
+
4
q
3
+
3
q
4
+
4
q
5
−
6
q
6
+
12
q
7
+
O
(
q
8
)
+
1
+1
+
1
445.2.a.f
7
7
q
−
4
q
2
−
8
q
3
+
8
q
4
+
7
q
5
−
2
q
6
−
16
q
7
+
O
(
q
8
)
7q - 4q^{2} - 8q^{3} + 8q^{4} + 7q^{5} - 2q^{6} - 16q^{7} + O(q^{8})
7
q
−
4
q
2
−
8
q
3
+
8
q
4
+
7
q
5
−
2
q
6
−
16
q
7
+
O
(
q
8
)
−
1
-1
−
1
445.2.a.g
8
8
q
+
q
2
+
6
q
3
+
7
q
4
−
8
q
5
+
6
q
6
−
6
q
7
+
O
(
q
8
)
8q + q^{2} + 6q^{3} + 7q^{4} - 8q^{5} + 6q^{6} - 6q^{7} + O(q^{8})
8
q
+
q
2
+
6
q
3
+
7
q
4
−
8
q
5
+
6
q
6
−
6
q
7
+
O
(
q
8
)
+
1
+1
+
1