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› Level 713
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 ·
JSON
Label
Dim
Trace form
Sign
CM
Curve
713.2.a.a
1
q
+
q
2
+
q
3
−
q
4
+
q
6
−
3
q
7
+
O
(
q
8
)
q + q^{2} + q^{3} - q^{4} + q^{6} - 3q^{7} + O(q^{8})
q
+
q
2
+
q
3
−
q
4
+
q
6
−
3
q
7
+
O
(
q
8
)
−
1
-1
−
1
713a1
rank 1
713.2.a.b
2
2
q
+
q
2
−
2
q
3
−
q
4
−
4
q
5
+
4
q
6
−
2
q
7
+
O
(
q
8
)
2q + q^{2} - 2q^{3} - q^{4} - 4q^{5} + 4q^{6} - 2q^{7} + O(q^{8})
2
q
+
q
2
−
2
q
3
−
q
4
−
4
q
5
+
4
q
6
−
2
q
7
+
O
(
q
8
)
−
1
-1
−
1
713.2.a.c
5
5
q
−
4
q
2
+
4
q
4
−
6
q
5
+
10
q
6
−
12
q
7
+
O
(
q
8
)
5q - 4q^{2} + 4q^{4} - 6q^{5} + 10q^{6} - 12q^{7} + O(q^{8})
5
q
−
4
q
2
+
4
q
4
−
6
q
5
+
10
q
6
−
12
q
7
+
O
(
q
8
)
−
1
-1
−
1
713.2.a.d
5
5
q
+
4
q
4
+
5
q
5
−
14
q
6
−
9
q
7
+
O
(
q
8
)
5q + 4q^{4} + 5q^{5} - 14q^{6} - 9q^{7} + O(q^{8})
5
q
+
4
q
4
+
5
q
5
−
14
q
6
−
9
q
7
+
O
(
q
8
)
−
1
-1
−
1
713.2.a.e
9
9
q
−
5
q
2
−
5
q
3
+
9
q
4
+
q
5
+
q
6
−
12
q
7
+
O
(
q
8
)
9q - 5q^{2} - 5q^{3} + 9q^{4} + q^{5} + q^{6} - 12q^{7} + O(q^{8})
9
q
−
5
q
2
−
5
q
3
+
9
q
4
+
q
5
+
q
6
−
12
q
7
+
O
(
q
8
)
−
1
-1
−
1
713.2.a.f
15
15
q
+
q
2
+
4
q
3
+
19
q
4
+
q
5
+
2
q
6
+
23
q
7
+
O
(
q
8
)
15q + q^{2} + 4q^{3} + 19q^{4} + q^{5} + 2q^{6} + 23q^{7} + O(q^{8})
15
q
+
q
2
+
4
q
3
+
19
q
4
+
q
5
+
2
q
6
+
23
q
7
+
O
(
q
8
)
+
1
+1
+
1
713.2.a.g
18
18
q
+
5
q
2
+
2
q
3
+
25
q
4
+
q
5
+
4
q
6
+
23
q
7
+
O
(
q
8
)
18q + 5q^{2} + 2q^{3} + 25q^{4} + q^{5} + 4q^{6} + 23q^{7} + O(q^{8})
18
q
+
5
q
2
+
2
q
3
+
25
q
4
+
q
5
+
4
q
6
+
23
q
7
+
O
(
q
8
)
+
1
+1
+
1