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Modular forms
› Level 913
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
913.2.a.a
1
q
−
q
2
−
q
4
−
q
7
+
O
(
q
8
)
q - q^{2} - q^{4} - q^{7} + O(q^{8})
q
−
q
2
−
q
4
−
q
7
+
O
(
q
8
)
+
1
+1
+
1
913a1
rank 0
913.2.a.b
1
q
+
2
q
2
+
3
q
3
+
2
q
4
+
3
q
5
+
6
q
6
−
4
q
7
+
O
(
q
8
)
q + 2q^{2} + 3q^{3} + 2q^{4} + 3q^{5} + 6q^{6} - 4q^{7} + O(q^{8})
q
+
2
q
2
+
3
q
3
+
2
q
4
+
3
q
5
+
6
q
6
−
4
q
7
+
O
(
q
8
)
+
1
+1
+
1
913b1
rank 0
913.2.a.c
5
5
q
+
q
2
+
q
3
+
q
4
+
3
q
5
+
2
q
6
+
5
q
7
+
O
(
q
8
)
5q + q^{2} + q^{3} + q^{4} + 3q^{5} + 2q^{6} + 5q^{7} + O(q^{8})
5
q
+
q
2
+
q
3
+
q
4
+
3
q
5
+
2
q
6
+
5
q
7
+
O
(
q
8
)
+
1
+1
+
1
913.2.a.d
12
12
q
+
2
q
2
+
4
q
3
+
20
q
4
−
q
5
−
9
q
6
+
5
q
7
+
O
(
q
8
)
12q + 2q^{2} + 4q^{3} + 20q^{4} - q^{5} - 9q^{6} + 5q^{7} + O(q^{8})
12
q
+
2
q
2
+
4
q
3
+
20
q
4
−
q
5
−
9
q
6
+
5
q
7
+
O
(
q
8
)
+
1
+1
+
1
913.2.a.e
15
15
q
−
7
q
2
−
7
q
3
+
15
q
4
−
4
q
5
+
3
q
6
−
17
q
7
+
O
(
q
8
)
15q - 7q^{2} - 7q^{3} + 15q^{4} - 4q^{5} + 3q^{6} - 17q^{7} + O(q^{8})
15
q
−
7
q
2
−
7
q
3
+
15
q
4
−
4
q
5
+
3
q
6
−
17
q
7
+
O
(
q
8
)
−
1
-1
−
1
913.2.a.f
16
16
q
−
5
q
2
−
8
q
3
+
13
q
4
−
7
q
5
−
5
q
6
−
5
q
7
+
O
(
q
8
)
16q - 5q^{2} - 8q^{3} + 13q^{4} - 7q^{5} - 5q^{6} - 5q^{7} + O(q^{8})
16
q
−
5
q
2
−
8
q
3
+
13
q
4
−
7
q
5
−
5
q
6
−
5
q
7
+
O
(
q
8
)
−
1
-1
−
1
913.2.a.g
17
17
q
+
9
q
2
+
5
q
3
+
17
q
4
+
2
q
5
+
3
q
6
+
13
q
7
+
O
(
q
8
)
17q + 9q^{2} + 5q^{3} + 17q^{4} + 2q^{5} + 3q^{6} + 13q^{7} + O(q^{8})
17
q
+
9
q
2
+
5
q
3
+
17
q
4
+
2
q
5
+
3
q
6
+
13
q
7
+
O
(
q
8
)
+
1
+1
+
1