🌿 Sagebrush
Atlas
Modular forms
Search
About
For agents
Notebook
Go
Atlas
›
Modular forms
› Level 680
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
Search
8 orbits; showing 1–8 ·
JSON
Label
Dim
Trace form
Sign
CM
Curve
680.2.a.a
1
q
−
q
3
+
q
5
+
2
q
7
+
O
(
q
8
)
q - q^{3} + q^{5} + 2q^{7} + O(q^{8})
q
−
q
3
+
q
5
+
2
q
7
+
O
(
q
8
)
680b1
rank 0
680.2.a.b
1
q
−
q
5
+
O
(
q
8
)
q - q^{5} + O(q^{8})
q
−
q
5
+
O
(
q
8
)
680a1
rank 1
680.2.a.c
1
q
+
2
q
3
+
q
5
+
2
q
7
+
O
(
q
8
)
q + 2q^{3} + q^{5} + 2q^{7} + O(q^{8})
q
+
2
q
3
+
q
5
+
2
q
7
+
O
(
q
8
)
680c1
rank 0
680.2.a.d
2
2
q
−
2
q
3
+
2
q
5
−
6
q
7
+
O
(
q
8
)
2q - 2q^{3} + 2q^{5} - 6q^{7} + O(q^{8})
2
q
−
2
q
3
+
2
q
5
−
6
q
7
+
O
(
q
8
)
680.2.a.e
2
2
q
−
2
q
5
+
O
(
q
8
)
2q - 2q^{5} + O(q^{8})
2
q
−
2
q
5
+
O
(
q
8
)
680.2.a.f
3
3
q
+
q
3
−
3
q
5
+
O
(
q
8
)
3q + q^{3} - 3q^{5} + O(q^{8})
3
q
+
q
3
−
3
q
5
+
O
(
q
8
)
680.2.a.g
3
3
q
+
q
3
−
3
q
5
+
6
q
7
+
O
(
q
8
)
3q + q^{3} - 3q^{5} + 6q^{7} + O(q^{8})
3
q
+
q
3
−
3
q
5
+
6
q
7
+
O
(
q
8
)
680.2.a.h
3
3
q
+
3
q
3
+
3
q
5
+
4
q
7
+
O
(
q
8
)
3q + 3q^{3} + 3q^{5} + 4q^{7} + O(q^{8})
3
q
+
3
q
3
+
3
q
5
+
4
q
7
+
O
(
q
8
)