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› Level 659
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
Search
4 orbits; showing 1–4 ·
JSON
Label
Dim
Trace form
Sign
CM
Curve
659.2.a.a
1
q
+
q
2
+
2
q
3
−
q
4
−
3
q
5
+
2
q
6
−
3
q
7
+
O
(
q
8
)
q + q^{2} + 2q^{3} - q^{4} - 3q^{5} + 2q^{6} - 3q^{7} + O(q^{8})
q
+
q
2
+
2
q
3
−
q
4
−
3
q
5
+
2
q
6
−
3
q
7
+
O
(
q
8
)
−
1
-1
−
1
659a1
rank 1
659.2.a.b
1
q
+
2
q
2
+
q
3
+
2
q
4
+
2
q
5
+
2
q
6
+
O
(
q
8
)
q + 2q^{2} + q^{3} + 2q^{4} + 2q^{5} + 2q^{6} + O(q^{8})
q
+
2
q
2
+
q
3
+
2
q
4
+
2
q
5
+
2
q
6
+
O
(
q
8
)
+
1
+1
+
1
659b1
rank 0
659.2.a.c
16
16
q
−
3
q
2
−
9
q
3
+
5
q
4
−
8
q
5
−
7
q
6
−
3
q
7
+
O
(
q
8
)
16q - 3q^{2} - 9q^{3} + 5q^{4} - 8q^{5} - 7q^{6} - 3q^{7} + O(q^{8})
16
q
−
3
q
2
−
9
q
3
+
5
q
4
−
8
q
5
−
7
q
6
−
3
q
7
+
O
(
q
8
)
−
1
-1
−
1
659.2.a.d
37
37
q
−
2
q
2
+
6
q
3
+
50
q
4
+
13
q
5
+
5
q
6
+
6
q
7
+
O
(
q
8
)
37q - 2q^{2} + 6q^{3} + 50q^{4} + 13q^{5} + 5q^{6} + 6q^{7} + O(q^{8})
37
q
−
2
q
2
+
6
q
3
+
50
q
4
+
13
q
5
+
5
q
6
+
6
q
7
+
O
(
q
8
)
+
1
+1
+
1