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› Level 639
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
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11 orbits; showing 1–11 ·
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Label
Dim
Trace form
Sign
CM
Curve
639.2.a.a
1
q
−
q
2
−
q
4
−
2
q
5
+
2
q
7
+
O
(
q
8
)
q - q^{2} - q^{4} - 2q^{5} + 2q^{7} + O(q^{8})
q
−
q
2
−
q
4
−
2
q
5
+
2
q
7
+
O
(
q
8
)
639a1
rank 1
639.2.a.b
2
2
q
−
2
q
2
+
2
q
4
−
4
q
7
+
O
(
q
8
)
2q - 2q^{2} + 2q^{4} - 4q^{7} + O(q^{8})
2
q
−
2
q
2
+
2
q
4
−
4
q
7
+
O
(
q
8
)
639.2.a.c
2
2
q
−
q
2
+
3
q
4
+
q
5
−
2
q
7
+
O
(
q
8
)
2q - q^{2} + 3q^{4} + q^{5} - 2q^{7} + O(q^{8})
2
q
−
q
2
+
3
q
4
+
q
5
−
2
q
7
+
O
(
q
8
)
639.2.a.d
2
2
q
+
q
2
−
q
4
−
q
5
−
6
q
7
+
O
(
q
8
)
2q + q^{2} - q^{4} - q^{5} - 6q^{7} + O(q^{8})
2
q
+
q
2
−
q
4
−
q
5
−
6
q
7
+
O
(
q
8
)
639.2.a.e
2
2
q
+
2
q
2
+
2
q
4
−
4
q
7
+
O
(
q
8
)
2q + 2q^{2} + 2q^{4} - 4q^{7} + O(q^{8})
2
q
+
2
q
2
+
2
q
4
−
4
q
7
+
O
(
q
8
)
639.2.a.f
2
2
q
+
3
q
2
+
3
q
4
+
5
q
5
−
4
q
7
+
O
(
q
8
)
2q + 3q^{2} + 3q^{4} + 5q^{5} - 4q^{7} + O(q^{8})
2
q
+
3
q
2
+
3
q
4
+
5
q
5
−
4
q
7
+
O
(
q
8
)
639.2.a.g
3
3
q
+
4
q
4
+
3
q
5
+
2
q
7
+
O
(
q
8
)
3q + 4q^{4} + 3q^{5} + 2q^{7} + O(q^{8})
3
q
+
4
q
4
+
3
q
5
+
2
q
7
+
O
(
q
8
)
639.2.a.h
3
3
q
+
q
2
+
3
q
4
−
5
q
5
+
2
q
7
+
O
(
q
8
)
3q + q^{2} + 3q^{4} - 5q^{5} + 2q^{7} + O(q^{8})
3
q
+
q
2
+
3
q
4
−
5
q
5
+
2
q
7
+
O
(
q
8
)
639.2.a.i
4
4
q
−
3
q
2
+
5
q
4
+
3
q
5
+
6
q
7
+
O
(
q
8
)
4q - 3q^{2} + 5q^{4} + 3q^{5} + 6q^{7} + O(q^{8})
4
q
−
3
q
2
+
5
q
4
+
3
q
5
+
6
q
7
+
O
(
q
8
)
639.2.a.j
4
4
q
+
2
q
4
−
8
q
5
+
2
q
7
+
O
(
q
8
)
4q + 2q^{4} - 8q^{5} + 2q^{7} + O(q^{8})
4
q
+
2
q
4
−
8
q
5
+
2
q
7
+
O
(
q
8
)
639.2.a.k
4
4
q
+
2
q
4
+
8
q
5
+
2
q
7
+
O
(
q
8
)
4q + 2q^{4} + 8q^{5} + 2q^{7} + O(q^{8})
4
q
+
2
q
4
+
8
q
5
+
2
q
7
+
O
(
q
8
)