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› Level 813
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
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6 orbits; showing 1–6 ·
JSON
Label
Dim
Trace form
Sign
CM
Curve
813.2.a.a
1
q
+
q
3
−
2
q
4
−
q
7
+
O
(
q
8
)
q + q^{3} - 2q^{4} - q^{7} + O(q^{8})
q
+
q
3
−
2
q
4
−
q
7
+
O
(
q
8
)
−
1
-1
−
1
813b1
rank 1
813.2.a.b
1
q
+
2
q
2
+
q
3
+
2
q
4
+
2
q
5
+
2
q
6
−
q
7
+
O
(
q
8
)
q + 2q^{2} + q^{3} + 2q^{4} + 2q^{5} + 2q^{6} - q^{7} + O(q^{8})
q
+
2
q
2
+
q
3
+
2
q
4
+
2
q
5
+
2
q
6
−
q
7
+
O
(
q
8
)
+
1
+1
+
1
813a1
rank 0
813.2.a.c
4
4
q
−
q
2
+
4
q
3
+
q
4
−
4
q
5
−
q
6
−
8
q
7
+
O
(
q
8
)
4q - q^{2} + 4q^{3} + q^{4} - 4q^{5} - q^{6} - 8q^{7} + O(q^{8})
4
q
−
q
2
+
4
q
3
+
q
4
−
4
q
5
−
q
6
−
8
q
7
+
O
(
q
8
)
−
1
-1
−
1
813.2.a.d
7
7
q
+
q
2
−
7
q
3
+
5
q
4
+
6
q
5
−
q
6
+
7
q
7
+
O
(
q
8
)
7q + q^{2} - 7q^{3} + 5q^{4} + 6q^{5} - q^{6} + 7q^{7} + O(q^{8})
7
q
+
q
2
−
7
q
3
+
5
q
4
+
6
q
5
−
q
6
+
7
q
7
+
O
(
q
8
)
+
1
+1
+
1
813.2.a.e
15
15
q
−
4
q
2
−
15
q
3
+
18
q
4
−
10
q
5
+
4
q
6
−
9
q
7
+
O
(
q
8
)
15q - 4q^{2} - 15q^{3} + 18q^{4} - 10q^{5} + 4q^{6} - 9q^{7} + O(q^{8})
15
q
−
4
q
2
−
15
q
3
+
18
q
4
−
10
q
5
+
4
q
6
−
9
q
7
+
O
(
q
8
)
−
1
-1
−
1
813.2.a.f
17
17
q
−
q
2
+
17
q
3
+
21
q
4
+
4
q
5
−
q
6
+
16
q
7
+
O
(
q
8
)
17q - q^{2} + 17q^{3} + 21q^{4} + 4q^{5} - q^{6} + 16q^{7} + O(q^{8})
17
q
−
q
2
+
17
q
3
+
21
q
4
+
4
q
5
−
q
6
+
16
q
7
+
O
(
q
8
)
+
1
+1
+
1