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Modular forms
› Level 413
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
Search
6 orbits; showing 1–6 ·
JSON
Label
Dim
Trace form
Sign
CM
Curve
413.2.a.a
2
2
q
−
q
3
+
6
q
4
+
2
q
5
+
5
q
6
−
2
q
7
+
O
(
q
8
)
2q - q^{3} + 6q^{4} + 2q^{5} + 5q^{6} - 2q^{7} + O(q^{8})
2
q
−
q
3
+
6
q
4
+
2
q
5
+
5
q
6
−
2
q
7
+
O
(
q
8
)
+
1
+1
+
1
413.2.a.b
3
3
q
−
3
q
2
+
3
q
3
−
3
q
4
−
3
q
6
−
3
q
7
+
O
(
q
8
)
3q - 3q^{2} + 3q^{3} - 3q^{4} - 3q^{6} - 3q^{7} + O(q^{8})
3
q
−
3
q
2
+
3
q
3
−
3
q
4
−
3
q
6
−
3
q
7
+
O
(
q
8
)
+
1
+1
+
1
413.2.a.c
5
5
q
−
2
q
2
−
5
q
3
+
q
5
+
3
q
6
−
5
q
7
+
O
(
q
8
)
5q - 2q^{2} - 5q^{3} + q^{5} + 3q^{6} - 5q^{7} + O(q^{8})
5
q
−
2
q
2
−
5
q
3
+
q
5
+
3
q
6
−
5
q
7
+
O
(
q
8
)
−
1
-1
−
1
413.2.a.d
5
5
q
−
7
q
3
−
5
q
5
−
3
q
6
+
5
q
7
+
O
(
q
8
)
5q - 7q^{3} - 5q^{5} - 3q^{6} + 5q^{7} + O(q^{8})
5
q
−
7
q
3
−
5
q
5
−
3
q
6
+
5
q
7
+
O
(
q
8
)
−
1
-1
−
1
413.2.a.e
5
5
q
+
4
q
2
+
7
q
3
+
12
q
4
−
3
q
5
+
q
6
−
5
q
7
+
O
(
q
8
)
5q + 4q^{2} + 7q^{3} + 12q^{4} - 3q^{5} + q^{6} - 5q^{7} + O(q^{8})
5
q
+
4
q
2
+
7
q
3
+
12
q
4
−
3
q
5
+
q
6
−
5
q
7
+
O
(
q
8
)
+
1
+1
+
1
413.2.a.f
9
9
q
+
7
q
3
+
8
q
4
+
3
q
5
+
q
6
+
9
q
7
+
O
(
q
8
)
9q + 7q^{3} + 8q^{4} + 3q^{5} + q^{6} + 9q^{7} + O(q^{8})
9
q
+
7
q
3
+
8
q
4
+
3
q
5
+
q
6
+
9
q
7
+
O
(
q
8
)
+
1
+1
+
1