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› Level 687
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
687.2.a.a
2
2
q
−
2
q
2
−
2
q
3
−
2
q
4
−
q
5
+
2
q
6
−
q
7
+
O
(
q
8
)
2q - 2q^{2} - 2q^{3} - 2q^{4} - q^{5} + 2q^{6} - q^{7} + O(q^{8})
2
q
−
2
q
2
−
2
q
3
−
2
q
4
−
q
5
+
2
q
6
−
q
7
+
O
(
q
8
)
−
1
-1
−
1
687.2.a.b
5
5
q
−
2
q
2
+
5
q
3
−
3
q
5
−
2
q
6
−
10
q
7
+
O
(
q
8
)
5q - 2q^{2} + 5q^{3} - 3q^{5} - 2q^{6} - 10q^{7} + O(q^{8})
5
q
−
2
q
2
+
5
q
3
−
3
q
5
−
2
q
6
−
10
q
7
+
O
(
q
8
)
−
1
-1
−
1
687.2.a.c
7
7
q
−
2
q
2
−
7
q
3
+
14
q
4
−
6
q
5
+
2
q
6
−
3
q
7
+
O
(
q
8
)
7q - 2q^{2} - 7q^{3} + 14q^{4} - 6q^{5} + 2q^{6} - 3q^{7} + O(q^{8})
7
q
−
2
q
2
−
7
q
3
+
14
q
4
−
6
q
5
+
2
q
6
−
3
q
7
+
O
(
q
8
)
−
1
-1
−
1
687.2.a.d
10
10
q
+
3
q
2
−
10
q
3
+
9
q
4
+
9
q
5
−
3
q
6
+
2
q
7
+
O
(
q
8
)
10q + 3q^{2} - 10q^{3} + 9q^{4} + 9q^{5} - 3q^{6} + 2q^{7} + O(q^{8})
10
q
+
3
q
2
−
10
q
3
+
9
q
4
+
9
q
5
−
3
q
6
+
2
q
7
+
O
(
q
8
)
+
1
+1
+
1
687.2.a.e
15
15
q
+
2
q
2
+
15
q
3
+
20
q
4
+
7
q
5
+
2
q
6
+
12
q
7
+
O
(
q
8
)
15q + 2q^{2} + 15q^{3} + 20q^{4} + 7q^{5} + 2q^{6} + 12q^{7} + O(q^{8})
15
q
+
2
q
2
+
15
q
3
+
20
q
4
+
7
q
5
+
2
q
6
+
12
q
7
+
O
(
q
8
)
+
1
+1
+
1