🌿 Sagebrush
Atlas
Modular forms
Search
About
For agents
Notebook
Go
Atlas
›
Modular forms
› Level 459
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
Search
14 orbits; showing 1–14 ·
JSON
Label
Dim
Trace form
Sign
CM
Curve
459.2.a.a
1
q
−
2
q
2
+
2
q
4
−
4
q
5
+
q
7
+
O
(
q
8
)
q - 2q^{2} + 2q^{4} - 4q^{5} + q^{7} + O(q^{8})
q
−
2
q
2
+
2
q
4
−
4
q
5
+
q
7
+
O
(
q
8
)
459b1
rank 1
459.2.a.b
1
q
−
2
q
2
+
2
q
4
+
2
q
5
+
4
q
7
+
O
(
q
8
)
q - 2q^{2} + 2q^{4} + 2q^{5} + 4q^{7} + O(q^{8})
q
−
2
q
2
+
2
q
4
+
2
q
5
+
4
q
7
+
O
(
q
8
)
459g1
rank 0
459.2.a.c
1
q
−
q
2
−
q
4
+
q
5
−
2
q
7
+
O
(
q
8
)
q - q^{2} - q^{4} + q^{5} - 2q^{7} + O(q^{8})
q
−
q
2
−
q
4
+
q
5
−
2
q
7
+
O
(
q
8
)
459h1
rank 1
459.2.a.d
1
q
−
2
q
4
−
3
q
5
+
2
q
7
+
O
(
q
8
)
q - 2q^{4} - 3q^{5} + 2q^{7} + O(q^{8})
q
−
2
q
4
−
3
q
5
+
2
q
7
+
O
(
q
8
)
459f1
rank 0
459.2.a.e
1
q
−
2
q
4
+
3
q
5
+
2
q
7
+
O
(
q
8
)
q - 2q^{4} + 3q^{5} + 2q^{7} + O(q^{8})
q
−
2
q
4
+
3
q
5
+
2
q
7
+
O
(
q
8
)
459c1
rank 0
459.2.a.f
1
q
+
q
2
−
q
4
−
q
5
−
2
q
7
+
O
(
q
8
)
q + q^{2} - q^{4} - q^{5} - 2q^{7} + O(q^{8})
q
+
q
2
−
q
4
−
q
5
−
2
q
7
+
O
(
q
8
)
459a1
rank 1
459.2.a.g
1
q
+
2
q
2
+
2
q
4
−
2
q
5
+
4
q
7
+
O
(
q
8
)
q + 2q^{2} + 2q^{4} - 2q^{5} + 4q^{7} + O(q^{8})
q
+
2
q
2
+
2
q
4
−
2
q
5
+
4
q
7
+
O
(
q
8
)
459d1
rank 0
459.2.a.h
1
q
+
2
q
2
+
2
q
4
+
4
q
5
+
q
7
+
O
(
q
8
)
q + 2q^{2} + 2q^{4} + 4q^{5} + q^{7} + O(q^{8})
q
+
2
q
2
+
2
q
4
+
4
q
5
+
q
7
+
O
(
q
8
)
459e1
rank 0
459.2.a.i
2
2
q
−
q
2
−
q
4
+
3
q
5
−
3
q
7
+
O
(
q
8
)
2q - q^{2} - q^{4} + 3q^{5} - 3q^{7} + O(q^{8})
2
q
−
q
2
−
q
4
+
3
q
5
−
3
q
7
+
O
(
q
8
)
459.2.a.j
2
2
q
−
q
2
+
3
q
4
−
5
q
5
+
3
q
7
+
O
(
q
8
)
2q - q^{2} + 3q^{4} - 5q^{5} + 3q^{7} + O(q^{8})
2
q
−
q
2
+
3
q
4
−
5
q
5
+
3
q
7
+
O
(
q
8
)
459.2.a.k
2
2
q
+
q
2
−
q
4
−
3
q
5
−
3
q
7
+
O
(
q
8
)
2q + q^{2} - q^{4} - 3q^{5} - 3q^{7} + O(q^{8})
2
q
+
q
2
−
q
4
−
3
q
5
−
3
q
7
+
O
(
q
8
)
459.2.a.l
2
2
q
+
q
2
+
3
q
4
+
5
q
5
+
3
q
7
+
O
(
q
8
)
2q + q^{2} + 3q^{4} + 5q^{5} + 3q^{7} + O(q^{8})
2
q
+
q
2
+
3
q
4
+
5
q
5
+
3
q
7
+
O
(
q
8
)
459.2.a.m
3
3
q
−
q
2
+
9
q
4
−
3
q
5
−
4
q
7
+
O
(
q
8
)
3q - q^{2} + 9q^{4} - 3q^{5} - 4q^{7} + O(q^{8})
3
q
−
q
2
+
9
q
4
−
3
q
5
−
4
q
7
+
O
(
q
8
)
459.2.a.n
3
3
q
+
q
2
+
9
q
4
+
3
q
5
−
4
q
7
+
O
(
q
8
)
3q + q^{2} + 9q^{4} + 3q^{5} - 4q^{7} + O(q^{8})
3
q
+
q
2
+
9
q
4
+
3
q
5
−
4
q
7
+
O
(
q
8
)