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Modular forms
› Level 723
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
Search
7 orbits; showing 1–7 ·
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Label
Dim
Trace form
Sign
CM
Curve
723.2.a.a
1
q
−
q
2
−
q
3
−
q
4
−
2
q
5
+
q
6
+
O
(
q
8
)
q - q^{2} - q^{3} - q^{4} - 2q^{5} + q^{6} + O(q^{8})
q
−
q
2
−
q
3
−
q
4
−
2
q
5
+
q
6
+
O
(
q
8
)
−
1
-1
−
1
723a1
rank 1
723.2.a.b
1
q
+
q
3
−
2
q
4
−
2
q
7
+
O
(
q
8
)
q + q^{3} - 2q^{4} - 2q^{7} + O(q^{8})
q
+
q
3
−
2
q
4
−
2
q
7
+
O
(
q
8
)
−
1
-1
−
1
723b1
rank 1
723.2.a.c
2
2
q
+
2
q
2
+
2
q
3
−
2
q
4
+
4
q
5
+
2
q
6
+
2
q
7
+
O
(
q
8
)
2q + 2q^{2} + 2q^{3} - 2q^{4} + 4q^{5} + 2q^{6} + 2q^{7} + O(q^{8})
2
q
+
2
q
2
+
2
q
3
−
2
q
4
+
4
q
5
+
2
q
6
+
2
q
7
+
O
(
q
8
)
+
1
+1
+
1
723.2.a.d
5
5
q
−
2
q
2
+
5
q
3
+
2
q
4
−
8
q
5
−
2
q
6
−
7
q
7
+
O
(
q
8
)
5q - 2q^{2} + 5q^{3} + 2q^{4} - 8q^{5} - 2q^{6} - 7q^{7} + O(q^{8})
5
q
−
2
q
2
+
5
q
3
+
2
q
4
−
8
q
5
−
2
q
6
−
7
q
7
+
O
(
q
8
)
−
1
-1
−
1
723.2.a.e
9
9
q
+
3
q
2
−
9
q
3
+
7
q
4
+
12
q
5
−
3
q
6
−
5
q
7
+
O
(
q
8
)
9q + 3q^{2} - 9q^{3} + 7q^{4} + 12q^{5} - 3q^{6} - 5q^{7} + O(q^{8})
9
q
+
3
q
2
−
9
q
3
+
7
q
4
+
12
q
5
−
3
q
6
−
5
q
7
+
O
(
q
8
)
+
1
+1
+
1
723.2.a.f
10
10
q
−
4
q
2
−
10
q
3
+
16
q
4
−
10
q
5
+
4
q
6
+
3
q
7
+
O
(
q
8
)
10q - 4q^{2} - 10q^{3} + 16q^{4} - 10q^{5} + 4q^{6} + 3q^{7} + O(q^{8})
10
q
−
4
q
2
−
10
q
3
+
16
q
4
−
10
q
5
+
4
q
6
+
3
q
7
+
O
(
q
8
)
−
1
-1
−
1
723.2.a.g
13
13
q
+
q
2
+
13
q
3
+
23
q
4
+
6
q
5
+
q
6
+
9
q
7
+
O
(
q
8
)
13q + q^{2} + 13q^{3} + 23q^{4} + 6q^{5} + q^{6} + 9q^{7} + O(q^{8})
13
q
+
q
2
+
13
q
3
+
23
q
4
+
6
q
5
+
q
6
+
9
q
7
+
O
(
q
8
)
+
1
+1
+
1