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Modular forms
› Level 579
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
579.2.a.a
1
q
−
q
2
+
q
3
−
q
4
−
q
6
+
O
(
q
8
)
q - q^{2} + q^{3} - q^{4} - q^{6} + O(q^{8})
q
−
q
2
+
q
3
−
q
4
−
q
6
+
O
(
q
8
)
−
1
-1
−
1
579b1
rank 1
579.2.a.b
1
q
+
2
q
2
−
q
3
+
2
q
4
+
2
q
5
−
2
q
6
+
q
7
+
O
(
q
8
)
q + 2q^{2} - q^{3} + 2q^{4} + 2q^{5} - 2q^{6} + q^{7} + O(q^{8})
q
+
2
q
2
−
q
3
+
2
q
4
+
2
q
5
−
2
q
6
+
q
7
+
O
(
q
8
)
+
1
+1
+
1
579a1
rank 0
579.2.a.c
2
2
q
−
2
q
2
−
2
q
3
−
2
q
4
−
4
q
5
+
2
q
6
+
4
q
7
+
O
(
q
8
)
2q - 2q^{2} - 2q^{3} - 2q^{4} - 4q^{5} + 2q^{6} + 4q^{7} + O(q^{8})
2
q
−
2
q
2
−
2
q
3
−
2
q
4
−
4
q
5
+
2
q
6
+
4
q
7
+
O
(
q
8
)
−
1
-1
−
1
579.2.a.d
3
3
q
−
3
q
3
+
4
q
4
−
4
q
5
+
3
q
7
+
O
(
q
8
)
3q - 3q^{3} + 4q^{4} - 4q^{5} + 3q^{7} + O(q^{8})
3
q
−
3
q
3
+
4
q
4
−
4
q
5
+
3
q
7
+
O
(
q
8
)
−
1
-1
−
1
579.2.a.e
3
3
q
+
3
q
3
−
6
q
5
−
9
q
7
+
O
(
q
8
)
3q + 3q^{3} - 6q^{5} - 9q^{7} + O(q^{8})
3
q
+
3
q
3
−
6
q
5
−
9
q
7
+
O
(
q
8
)
−
1
-1
−
1
579.2.a.f
10
10
q
+
2
q
2
−
10
q
3
+
14
q
4
+
8
q
5
−
2
q
6
−
10
q
7
+
O
(
q
8
)
10q + 2q^{2} - 10q^{3} + 14q^{4} + 8q^{5} - 2q^{6} - 10q^{7} + O(q^{8})
10
q
+
2
q
2
−
10
q
3
+
14
q
4
+
8
q
5
−
2
q
6
−
10
q
7
+
O
(
q
8
)
+
1
+1
+
1
579.2.a.g
13
13
q
+
2
q
2
+
13
q
3
+
18
q
4
+
6
q
5
+
2
q
6
+
15
q
7
+
O
(
q
8
)
13q + 2q^{2} + 13q^{3} + 18q^{4} + 6q^{5} + 2q^{6} + 15q^{7} + O(q^{8})
13
q
+
2
q
2
+
13
q
3
+
18
q
4
+
6
q
5
+
2
q
6
+
15
q
7
+
O
(
q
8
)
+
1
+1
+
1