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› Level 259
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
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7 orbits; showing 1–7 ·
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Label
Dim
Trace form
Sign
CM
Curve
259.2.a.a
1
q
+
q
2
−
q
4
+
4
q
5
+
q
7
+
O
(
q
8
)
q + q^{2} - q^{4} + 4q^{5} + q^{7} + O(q^{8})
q
+
q
2
−
q
4
+
4
q
5
+
q
7
+
O
(
q
8
)
+
1
+1
+
1
259a1
rank 0
259.2.a.b
2
2
q
−
4
q
4
+
6
q
5
−
2
q
7
+
O
(
q
8
)
2q - 4q^{4} + 6q^{5} - 2q^{7} + O(q^{8})
2
q
−
4
q
4
+
6
q
5
−
2
q
7
+
O
(
q
8
)
+
1
+1
+
1
259.2.a.c
2
2
q
+
q
2
+
5
q
4
+
q
5
+
2
q
7
+
O
(
q
8
)
2q + q^{2} + 5q^{4} + q^{5} + 2q^{7} + O(q^{8})
2
q
+
q
2
+
5
q
4
+
q
5
+
2
q
7
+
O
(
q
8
)
+
1
+1
+
1
259.2.a.d
3
3
q
−
3
q
2
+
3
q
4
−
6
q
5
−
3
q
6
+
3
q
7
+
O
(
q
8
)
3q - 3q^{2} + 3q^{4} - 6q^{5} - 3q^{6} + 3q^{7} + O(q^{8})
3
q
−
3
q
2
+
3
q
4
−
6
q
5
−
3
q
6
+
3
q
7
+
O
(
q
8
)
−
1
-1
−
1
259.2.a.e
3
3
q
+
q
2
−
2
q
3
−
q
4
−
6
q
5
−
3
q
6
−
3
q
7
+
O
(
q
8
)
3q + q^{2} - 2q^{3} - q^{4} - 6q^{5} - 3q^{6} - 3q^{7} + O(q^{8})
3
q
+
q
2
−
2
q
3
−
q
4
−
6
q
5
−
3
q
6
−
3
q
7
+
O
(
q
8
)
−
1
-1
−
1
259.2.a.f
4
4
q
+
2
q
3
+
10
q
4
+
6
q
5
+
3
q
6
−
4
q
7
+
O
(
q
8
)
4q + 2q^{3} + 10q^{4} + 6q^{5} + 3q^{6} - 4q^{7} + O(q^{8})
4
q
+
2
q
3
+
10
q
4
+
6
q
5
+
3
q
6
−
4
q
7
+
O
(
q
8
)
+
1
+1
+
1
259.2.a.g
4
4
q
+
q
2
+
5
q
4
+
q
5
−
9
q
6
+
4
q
7
+
O
(
q
8
)
4q + q^{2} + 5q^{4} + q^{5} - 9q^{6} + 4q^{7} + O(q^{8})
4
q
+
q
2
+
5
q
4
+
q
5
−
9
q
6
+
4
q
7
+
O
(
q
8
)
+
1
+1
+
1