🌿 Sagebrush
Atlas
Modular forms
Search
About
For agents
Notebook
Go
Atlas
›
Modular forms
› Level 67
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
67.2.a.a
1
q
+
2
q
2
−
2
q
3
+
2
q
4
+
2
q
5
−
4
q
6
−
2
q
7
+
O
(
q
8
)
q + 2q^{2} - 2q^{3} + 2q^{4} + 2q^{5} - 4q^{6} - 2q^{7} + O(q^{8})
q
+
2
q
2
−
2
q
3
+
2
q
4
+
2
q
5
−
4
q
6
−
2
q
7
+
O
(
q
8
)
+
1
+1
+
1
67a1
rank 0
67.2.a.b
2
2
q
−
3
q
2
−
3
q
3
+
3
q
4
−
6
q
5
+
2
q
6
−
q
7
+
O
(
q
8
)
2q - 3q^{2} - 3q^{3} + 3q^{4} - 6q^{5} + 2q^{6} - q^{7} + O(q^{8})
2
q
−
3
q
2
−
3
q
3
+
3
q
4
−
6
q
5
+
2
q
6
−
q
7
+
O
(
q
8
)
−
1
-1
−
1
67.2.a.c
2
2
q
−
q
2
+
q
3
−
q
4
+
4
q
5
+
2
q
6
+
q
7
+
O
(
q
8
)
2q - q^{2} + q^{3} - q^{4} + 4q^{5} + 2q^{6} + q^{7} + O(q^{8})
2
q
−
q
2
+
q
3
−
q
4
+
4
q
5
+
2
q
6
+
q
7
+
O
(
q
8
)
+
1
+1
+
1
67.4.a.a
7
7
q
−
6
q
2
−
9
q
3
+
14
q
4
−
45
q
5
−
39
q
6
−
32
q
7
+
O
(
q
8
)
7q - 6q^{2} - 9q^{3} + 14q^{4} - 45q^{5} - 39q^{6} - 32q^{7} + O(q^{8})
7
q
−
6
q
2
−
9
q
3
+
14
q
4
−
45
q
5
−
39
q
6
−
32
q
7
+
O
(
q
8
)
−
1
-1
−
1
67.4.a.b
9
9
q
+
8
q
2
+
9
q
3
+
34
q
4
+
45
q
5
+
9
q
6
+
24
q
7
+
O
(
q
8
)
9q + 8q^{2} + 9q^{3} + 34q^{4} + 45q^{5} + 9q^{6} + 24q^{7} + O(q^{8})
9
q
+
8
q
2
+
9
q
3
+
34
q
4
+
45
q
5
+
9
q
6
+
24
q
7
+
O
(
q
8
)
+
1
+1
+
1
67.6.a.a
13
13
q
−
16
q
2
−
27
q
3
+
202
q
4
−
222
q
5
−
141
q
6
−
293
q
7
+
O
(
q
8
)
13q - 16q^{2} - 27q^{3} + 202q^{4} - 222q^{5} - 141q^{6} - 293q^{7} + O(q^{8})
13
q
−
16
q
2
−
27
q
3
+
202
q
4
−
222
q
5
−
141
q
6
−
293
q
7
+
O
(
q
8
)
−
1
-1
−
1
67.6.a.b
15
15
q
+
12
q
2
+
27
q
3
+
282
q
4
+
228
q
5
+
147
q
6
+
99
q
7
+
O
(
q
8
)
15q + 12q^{2} + 27q^{3} + 282q^{4} + 228q^{5} + 147q^{6} + 99q^{7} + O(q^{8})
15
q
+
12
q
2
+
27
q
3
+
282
q
4
+
228
q
5
+
147
q
6
+
99
q
7
+
O
(
q
8
)
+
1
+1
+
1