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› Level 707
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
707.2.a.a
1
q
−
2
q
2
−
2
q
3
+
2
q
4
−
3
q
5
+
4
q
6
−
q
7
+
O
(
q
8
)
q - 2q^{2} - 2q^{3} + 2q^{4} - 3q^{5} + 4q^{6} - q^{7} + O(q^{8})
q
−
2
q
2
−
2
q
3
+
2
q
4
−
3
q
5
+
4
q
6
−
q
7
+
O
(
q
8
)
+
1
+1
+
1
707a1
rank 2
707.2.a.b
2
2
q
−
q
2
+
2
q
3
+
3
q
4
−
q
5
−
q
6
−
2
q
7
+
O
(
q
8
)
2q - q^{2} + 2q^{3} + 3q^{4} - q^{5} - q^{6} - 2q^{7} + O(q^{8})
2
q
−
q
2
+
2
q
3
+
3
q
4
−
q
5
−
q
6
−
2
q
7
+
O
(
q
8
)
−
1
-1
−
1
707.2.a.c
4
4
q
+
4
q
3
−
8
q
4
+
q
5
+
4
q
7
+
O
(
q
8
)
4q + 4q^{3} - 8q^{4} + q^{5} + 4q^{7} + O(q^{8})
4
q
+
4
q
3
−
8
q
4
+
q
5
+
4
q
7
+
O
(
q
8
)
+
1
+1
+
1
707.2.a.d
8
8
q
−
3
q
2
−
3
q
3
+
3
q
4
−
2
q
5
+
2
q
6
−
8
q
7
+
O
(
q
8
)
8q - 3q^{2} - 3q^{3} + 3q^{4} - 2q^{5} + 2q^{6} - 8q^{7} + O(q^{8})
8
q
−
3
q
2
−
3
q
3
+
3
q
4
−
2
q
5
+
2
q
6
−
8
q
7
+
O
(
q
8
)
−
1
-1
−
1
707.2.a.e
10
10
q
−
2
q
2
−
9
q
3
+
6
q
4
−
7
q
5
−
5
q
6
+
10
q
7
+
O
(
q
8
)
10q - 2q^{2} - 9q^{3} + 6q^{4} - 7q^{5} - 5q^{6} + 10q^{7} + O(q^{8})
10
q
−
2
q
2
−
9
q
3
+
6
q
4
−
7
q
5
−
5
q
6
+
10
q
7
+
O
(
q
8
)
−
1
-1
−
1
707.2.a.f
11
11
q
+
2
q
2
+
3
q
3
+
22
q
4
+
4
q
5
−
q
6
+
11
q
7
+
O
(
q
8
)
11q + 2q^{2} + 3q^{3} + 22q^{4} + 4q^{5} - q^{6} + 11q^{7} + O(q^{8})
11
q
+
2
q
2
+
3
q
3
+
22
q
4
+
4
q
5
−
q
6
+
11
q
7
+
O
(
q
8
)
+
1
+1
+
1
707.2.a.g
15
15
q
+
5
q
2
+
q
3
+
19
q
4
+
10
q
5
+
q
6
−
15
q
7
+
O
(
q
8
)
15q + 5q^{2} + q^{3} + 19q^{4} + 10q^{5} + q^{6} - 15q^{7} + O(q^{8})
15
q
+
5
q
2
+
q
3
+
19
q
4
+
10
q
5
+
q
6
−
15
q
7
+
O
(
q
8
)
+
1
+1
+
1