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Modular forms
› Level 517
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
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11 orbits; showing 1–11 ·
JSON
Label
Dim
Trace form
Sign
CM
Curve
517.2.a.a
1
q
+
3
q
3
−
2
q
4
+
3
q
5
−
2
q
7
+
O
(
q
8
)
q + 3q^{3} - 2q^{4} + 3q^{5} - 2q^{7} + O(q^{8})
q
+
3
q
3
−
2
q
4
+
3
q
5
−
2
q
7
+
O
(
q
8
)
+
1
+1
+
1
517b1
rank 0
517.2.a.b
1
q
+
2
q
2
−
q
3
+
2
q
4
−
3
q
5
−
2
q
6
−
2
q
7
+
O
(
q
8
)
q + 2q^{2} - q^{3} + 2q^{4} - 3q^{5} - 2q^{6} - 2q^{7} + O(q^{8})
q
+
2
q
2
−
q
3
+
2
q
4
−
3
q
5
−
2
q
6
−
2
q
7
+
O
(
q
8
)
−
1
-1
−
1
517c1
rank 1
517.2.a.c
1
q
+
2
q
2
−
q
3
+
2
q
4
+
3
q
5
−
2
q
6
+
4
q
7
+
O
(
q
8
)
q + 2q^{2} - q^{3} + 2q^{4} + 3q^{5} - 2q^{6} + 4q^{7} + O(q^{8})
q
+
2
q
2
−
q
3
+
2
q
4
+
3
q
5
−
2
q
6
+
4
q
7
+
O
(
q
8
)
+
1
+1
+
1
517a1
rank 0
517.2.a.d
2
2
q
−
2
q
2
−
2
q
3
+
4
q
4
+
2
q
6
+
2
q
7
+
O
(
q
8
)
2q - 2q^{2} - 2q^{3} + 4q^{4} + 2q^{6} + 2q^{7} + O(q^{8})
2
q
−
2
q
2
−
2
q
3
+
4
q
4
+
2
q
6
+
2
q
7
+
O
(
q
8
)
−
1
-1
−
1
517.2.a.e
2
2
q
+
6
q
3
−
2
q
5
+
O
(
q
8
)
2q + 6q^{3} - 2q^{5} + O(q^{8})
2
q
+
6
q
3
−
2
q
5
+
O
(
q
8
)
+
1
+1
+
1
517.2.a.f
2
2
q
+
2
q
2
+
2
q
4
+
4
q
6
−
6
q
7
+
O
(
q
8
)
2q + 2q^{2} + 2q^{4} + 4q^{6} - 6q^{7} + O(q^{8})
2
q
+
2
q
2
+
2
q
4
+
4
q
6
−
6
q
7
+
O
(
q
8
)
+
1
+1
+
1
517.2.a.g
2
2
q
+
2
q
2
+
4
q
3
+
2
q
4
−
4
q
5
+
8
q
6
−
2
q
7
+
O
(
q
8
)
2q + 2q^{2} + 4q^{3} + 2q^{4} - 4q^{5} + 8q^{6} - 2q^{7} + O(q^{8})
2
q
+
2
q
2
+
4
q
3
+
2
q
4
−
4
q
5
+
8
q
6
−
2
q
7
+
O
(
q
8
)
+
1
+1
+
1
517.2.a.h
3
3
q
−
3
q
2
−
4
q
3
−
3
q
4
−
2
q
5
+
4
q
6
−
q
7
+
O
(
q
8
)
3q - 3q^{2} - 4q^{3} - 3q^{4} - 2q^{5} + 4q^{6} - q^{7} + O(q^{8})
3
q
−
3
q
2
−
4
q
3
−
3
q
4
−
2
q
5
+
4
q
6
−
q
7
+
O
(
q
8
)
−
1
-1
−
1
517.2.a.i
3
3
q
+
q
2
+
5
q
4
+
2
q
5
+
6
q
6
+
5
q
7
+
O
(
q
8
)
3q + q^{2} + 5q^{4} + 2q^{5} + 6q^{6} + 5q^{7} + O(q^{8})
3
q
+
q
2
+
5
q
4
+
2
q
5
+
6
q
6
+
5
q
7
+
O
(
q
8
)
+
1
+1
+
1
517.2.a.j
10
10
q
−
6
q
2
−
7
q
3
+
10
q
4
−
3
q
5
+
2
q
6
−
9
q
7
+
O
(
q
8
)
10q - 6q^{2} - 7q^{3} + 10q^{4} - 3q^{5} + 2q^{6} - 9q^{7} + O(q^{8})
10
q
−
6
q
2
−
7
q
3
+
10
q
4
−
3
q
5
+
2
q
6
−
9
q
7
+
O
(
q
8
)
−
1
-1
−
1
517.2.a.k
10
10
q
+
3
q
2
+
2
q
3
+
15
q
4
+
4
q
5
−
10
q
6
+
7
q
7
+
O
(
q
8
)
10q + 3q^{2} + 2q^{3} + 15q^{4} + 4q^{5} - 10q^{6} + 7q^{7} + O(q^{8})
10
q
+
3
q
2
+
2
q
3
+
15
q
4
+
4
q
5
−
10
q
6
+
7
q
7
+
O
(
q
8
)
+
1
+1
+
1