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Modular forms
› Level 718
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
Search
7 orbits; showing 1–7 ·
JSON
Label
Dim
Trace form
Sign
CM
Curve
718.2.a.a
1
q
−
q
2
−
2
q
3
+
q
4
−
3
q
5
+
2
q
6
−
5
q
7
+
O
(
q
8
)
q - q^{2} - 2q^{3} + q^{4} - 3q^{5} + 2q^{6} - 5q^{7} + O(q^{8})
q
−
q
2
−
2
q
3
+
q
4
−
3
q
5
+
2
q
6
−
5
q
7
+
O
(
q
8
)
+
1
+1
+
1
718b1
rank 2
718.2.a.b
1
q
−
q
2
+
q
4
−
2
q
7
+
O
(
q
8
)
q - q^{2} + q^{4} - 2q^{7} + O(q^{8})
q
−
q
2
+
q
4
−
2
q
7
+
O
(
q
8
)
+
1
+1
+
1
718a1
rank 0
718.2.a.c
1
q
+
q
2
+
q
4
−
3
q
5
+
q
7
+
O
(
q
8
)
q + q^{2} + q^{4} - 3q^{5} + q^{7} + O(q^{8})
q
+
q
2
+
q
4
−
3
q
5
+
q
7
+
O
(
q
8
)
−
1
-1
−
1
718c1
rank 1
718.2.a.d
5
5
q
+
5
q
2
−
8
q
3
+
5
q
4
−
5
q
5
−
8
q
6
−
7
q
7
+
O
(
q
8
)
5q + 5q^{2} - 8q^{3} + 5q^{4} - 5q^{5} - 8q^{6} - 7q^{7} + O(q^{8})
5
q
+
5
q
2
−
8
q
3
+
5
q
4
−
5
q
5
−
8
q
6
−
7
q
7
+
O
(
q
8
)
−
1
-1
−
1
718.2.a.e
6
6
q
−
6
q
2
−
2
q
3
+
6
q
4
−
4
q
5
+
2
q
6
−
2
q
7
+
O
(
q
8
)
6q - 6q^{2} - 2q^{3} + 6q^{4} - 4q^{5} + 2q^{6} - 2q^{7} + O(q^{8})
6
q
−
6
q
2
−
2
q
3
+
6
q
4
−
4
q
5
+
2
q
6
−
2
q
7
+
O
(
q
8
)
−
1
-1
−
1
718.2.a.f
7
7
q
−
7
q
2
+
4
q
3
+
7
q
4
+
9
q
5
−
4
q
6
+
7
q
7
+
O
(
q
8
)
7q - 7q^{2} + 4q^{3} + 7q^{4} + 9q^{5} - 4q^{6} + 7q^{7} + O(q^{8})
7
q
−
7
q
2
+
4
q
3
+
7
q
4
+
9
q
5
−
4
q
6
+
7
q
7
+
O
(
q
8
)
+
1
+1
+
1
718.2.a.g
8
8
q
+
8
q
2
+
4
q
3
+
8
q
4
+
4
q
5
+
4
q
6
+
4
q
7
+
O
(
q
8
)
8q + 8q^{2} + 4q^{3} + 8q^{4} + 4q^{5} + 4q^{6} + 4q^{7} + O(q^{8})
8
q
+
8
q
2
+
4
q
3
+
8
q
4
+
4
q
5
+
4
q
6
+
4
q
7
+
O
(
q
8
)
+
1
+1
+
1