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› Level 478
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
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4 orbits; showing 1–4 ·
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Label
Dim
Trace form
Sign
CM
Curve
478.2.a.a
4
4
q
−
4
q
2
−
2
q
3
+
4
q
4
−
3
q
5
+
2
q
6
−
2
q
7
+
O
(
q
8
)
4q - 4q^{2} - 2q^{3} + 4q^{4} - 3q^{5} + 2q^{6} - 2q^{7} + O(q^{8})
4
q
−
4
q
2
−
2
q
3
+
4
q
4
−
3
q
5
+
2
q
6
−
2
q
7
+
O
(
q
8
)
−
1
-1
−
1
478.2.a.b
4
4
q
+
4
q
2
−
6
q
3
+
4
q
4
−
7
q
5
−
6
q
6
−
6
q
7
+
O
(
q
8
)
4q + 4q^{2} - 6q^{3} + 4q^{4} - 7q^{5} - 6q^{6} - 6q^{7} + O(q^{8})
4
q
+
4
q
2
−
6
q
3
+
4
q
4
−
7
q
5
−
6
q
6
−
6
q
7
+
O
(
q
8
)
−
1
-1
−
1
478.2.a.c
5
5
q
+
5
q
2
+
2
q
3
+
5
q
4
+
3
q
5
+
2
q
6
+
4
q
7
+
O
(
q
8
)
5q + 5q^{2} + 2q^{3} + 5q^{4} + 3q^{5} + 2q^{6} + 4q^{7} + O(q^{8})
5
q
+
5
q
2
+
2
q
3
+
5
q
4
+
3
q
5
+
2
q
6
+
4
q
7
+
O
(
q
8
)
+
1
+1
+
1
478.2.a.d
6
6
q
−
6
q
2
+
2
q
3
+
6
q
4
+
5
q
5
−
2
q
6
+
O
(
q
8
)
6q - 6q^{2} + 2q^{3} + 6q^{4} + 5q^{5} - 2q^{6} + O(q^{8})
6
q
−
6
q
2
+
2
q
3
+
6
q
4
+
5
q
5
−
2
q
6
+
O
(
q
8
)
+
1
+1
+
1