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Modular forms
› Level 223
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
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5 orbits; showing 1–5 ·
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Label
Dim
Trace form
Sign
CM
Curve
223.2.a.a
2
2
q
−
2
q
2
−
2
q
3
+
2
q
4
−
4
q
5
+
6
q
6
+
O
(
q
8
)
2q - 2q^{2} - 2q^{3} + 2q^{4} - 4q^{5} + 6q^{6} + O(q^{8})
2
q
−
2
q
2
−
2
q
3
+
2
q
4
−
4
q
5
+
6
q
6
+
O
(
q
8
)
−
1
-1
−
1
223.2.a.b
4
4
q
−
4
q
2
+
4
q
4
−
3
q
5
−
8
q
6
−
6
q
7
+
O
(
q
8
)
4q - 4q^{2} + 4q^{4} - 3q^{5} - 8q^{6} - 6q^{7} + O(q^{8})
4
q
−
4
q
2
+
4
q
4
−
3
q
5
−
8
q
6
−
6
q
7
+
O
(
q
8
)
−
1
-1
−
1
223.2.a.c
12
12
q
+
7
q
2
+
13
q
4
+
7
q
5
−
4
q
6
+
2
q
7
+
O
(
q
8
)
12q + 7q^{2} + 13q^{4} + 7q^{5} - 4q^{6} + 2q^{7} + O(q^{8})
12
q
+
7
q
2
+
13
q
4
+
7
q
5
−
4
q
6
+
2
q
7
+
O
(
q
8
)
+
1
+1
+
1
223.4.a.a
24
24
q
−
17
q
2
−
8
q
3
+
79
q
4
−
50
q
5
−
14
q
6
−
61
q
7
+
O
(
q
8
)
24q - 17q^{2} - 8q^{3} + 79q^{4} - 50q^{5} - 14q^{6} - 61q^{7} + O(q^{8})
24
q
−
17
q
2
−
8
q
3
+
79
q
4
−
50
q
5
−
14
q
6
−
61
q
7
+
O
(
q
8
)
−
1
-1
−
1
223.4.a.b
31
31
q
+
15
q
2
+
10
q
3
+
135
q
4
+
50
q
5
+
46
q
6
+
51
q
7
+
O
(
q
8
)
31q + 15q^{2} + 10q^{3} + 135q^{4} + 50q^{5} + 46q^{6} + 51q^{7} + O(q^{8})
31
q
+
15
q
2
+
10
q
3
+
135
q
4
+
50
q
5
+
46
q
6
+
51
q
7
+
O
(
q
8
)
+
1
+1
+
1