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Modular forms
› Level 731
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
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6 orbits; showing 1–6 ·
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Label
Dim
Trace form
Sign
CM
Curve
731.2.a.a
1
q
+
q
2
+
q
3
−
q
4
−
q
5
+
q
6
+
O
(
q
8
)
q + q^{2} + q^{3} - q^{4} - q^{5} + q^{6} + O(q^{8})
q
+
q
2
+
q
3
−
q
4
−
q
5
+
q
6
+
O
(
q
8
)
−
1
-1
−
1
731a1
rank 1
731.2.a.b
2
2
q
−
2
q
2
+
q
3
−
2
q
4
−
q
5
−
q
6
+
O
(
q
8
)
2q - 2q^{2} + q^{3} - 2q^{4} - q^{5} - q^{6} + O(q^{8})
2
q
−
2
q
2
+
q
3
−
2
q
4
−
q
5
−
q
6
+
O
(
q
8
)
−
1
-1
−
1
731.2.a.c
6
6
q
−
q
2
−
3
q
3
+
5
q
4
+
3
q
5
−
7
q
6
−
7
q
7
+
O
(
q
8
)
6q - q^{2} - 3q^{3} + 5q^{4} + 3q^{5} - 7q^{6} - 7q^{7} + O(q^{8})
6
q
−
q
2
−
3
q
3
+
5
q
4
+
3
q
5
−
7
q
6
−
7
q
7
+
O
(
q
8
)
−
1
-1
−
1
731.2.a.d
8
8
q
+
q
2
−
3
q
3
+
3
q
4
−
7
q
5
−
q
6
−
5
q
7
+
O
(
q
8
)
8q + q^{2} - 3q^{3} + 3q^{4} - 7q^{5} - q^{6} - 5q^{7} + O(q^{8})
8
q
+
q
2
−
3
q
3
+
3
q
4
−
7
q
5
−
q
6
−
5
q
7
+
O
(
q
8
)
−
1
-1
−
1
731.2.a.e
19
19
q
+
2
q
2
+
5
q
3
+
26
q
4
+
11
q
5
+
3
q
6
+
7
q
7
+
O
(
q
8
)
19q + 2q^{2} + 5q^{3} + 26q^{4} + 11q^{5} + 3q^{6} + 7q^{7} + O(q^{8})
19
q
+
2
q
2
+
5
q
3
+
26
q
4
+
11
q
5
+
3
q
6
+
7
q
7
+
O
(
q
8
)
+
1
+1
+
1
731.2.a.f
21
21
q
+
2
q
2
−
q
3
+
32
q
4
−
3
q
5
+
q
6
+
5
q
7
+
O
(
q
8
)
21q + 2q^{2} - q^{3} + 32q^{4} - 3q^{5} + q^{6} + 5q^{7} + O(q^{8})
21
q
+
2
q
2
−
q
3
+
32
q
4
−
3
q
5
+
q
6
+
5
q
7
+
O
(
q
8
)
+
1
+1
+
1