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› Level 515
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
515.2.a.a
4
4
q
−
q
2
−
q
3
−
q
4
+
4
q
5
−
4
q
6
−
3
q
7
+
O
(
q
8
)
4q - q^{2} - q^{3} - q^{4} + 4q^{5} - 4q^{6} - 3q^{7} + O(q^{8})
4
q
−
q
2
−
q
3
−
q
4
+
4
q
5
−
4
q
6
−
3
q
7
+
O
(
q
8
)
−
1
-1
−
1
515.2.a.b
8
8
q
−
2
q
2
−
3
q
3
+
6
q
4
−
8
q
5
−
8
q
6
−
11
q
7
+
O
(
q
8
)
8q - 2q^{2} - 3q^{3} + 6q^{4} - 8q^{5} - 8q^{6} - 11q^{7} + O(q^{8})
8
q
−
2
q
2
−
3
q
3
+
6
q
4
−
8
q
5
−
8
q
6
−
11
q
7
+
O
(
q
8
)
−
1
-1
−
1
515.2.a.c
9
9
q
+
q
2
+
3
q
3
+
11
q
4
−
9
q
5
+
9
q
7
+
O
(
q
8
)
9q + q^{2} + 3q^{3} + 11q^{4} - 9q^{5} + 9q^{7} + O(q^{8})
9
q
+
q
2
+
3
q
3
+
11
q
4
−
9
q
5
+
9
q
7
+
O
(
q
8
)
+
1
+1
+
1
515.2.a.d
14
14
q
−
q
2
+
q
3
+
17
q
4
+
14
q
5
+
4
q
6
+
9
q
7
+
O
(
q
8
)
14q - q^{2} + q^{3} + 17q^{4} + 14q^{5} + 4q^{6} + 9q^{7} + O(q^{8})
14
q
−
q
2
+
q
3
+
17
q
4
+
14
q
5
+
4
q
6
+
9
q
7
+
O
(
q
8
)
+
1
+1
+
1