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Modular forms
› Level 403
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
403.2.a.a
2
2
q
+
3
q
2
−
4
q
3
+
3
q
4
−
6
q
6
+
2
q
7
+
O
(
q
8
)
2q + 3q^{2} - 4q^{3} + 3q^{4} - 6q^{6} + 2q^{7} + O(q^{8})
2
q
+
3
q
2
−
4
q
3
+
3
q
4
−
6
q
6
+
2
q
7
+
O
(
q
8
)
+
1
+1
+
1
403.2.a.b
6
6
q
−
2
q
2
−
5
q
3
+
6
q
4
−
9
q
5
+
O
(
q
8
)
6q - 2q^{2} - 5q^{3} + 6q^{4} - 9q^{5} + O(q^{8})
6
q
−
2
q
2
−
5
q
3
+
6
q
4
−
9
q
5
+
O
(
q
8
)
−
1
-1
−
1
403.2.a.c
7
7
q
+
2
q
2
+
5
q
3
+
8
q
4
+
11
q
5
+
6
q
6
+
4
q
7
+
O
(
q
8
)
7q + 2q^{2} + 5q^{3} + 8q^{4} + 11q^{5} + 6q^{6} + 4q^{7} + O(q^{8})
7
q
+
2
q
2
+
5
q
3
+
8
q
4
+
11
q
5
+
6
q
6
+
4
q
7
+
O
(
q
8
)
+
1
+1
+
1
403.2.a.d
8
8
q
−
5
q
2
−
3
q
3
+
9
q
4
−
15
q
5
−
4
q
7
+
O
(
q
8
)
8q - 5q^{2} - 3q^{3} + 9q^{4} - 15q^{5} - 4q^{7} + O(q^{8})
8
q
−
5
q
2
−
3
q
3
+
9
q
4
−
15
q
5
−
4
q
7
+
O
(
q
8
)
−
1
-1
−
1
403.2.a.e
8
8
q
−
q
2
+
7
q
3
+
7
q
4
+
11
q
5
−
2
q
7
+
O
(
q
8
)
8q - q^{2} + 7q^{3} + 7q^{4} + 11q^{5} - 2q^{7} + O(q^{8})
8
q
−
q
2
+
7
q
3
+
7
q
4
+
11
q
5
−
2
q
7
+
O
(
q
8
)
+
1
+1
+
1