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Modular forms
› Level 381
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
Search
5 orbits; showing 1–5 ·
JSON
Label
Dim
Trace form
Sign
CM
Curve
381.2.a.a
1
q
+
q
3
−
2
q
4
−
q
5
−
2
q
7
+
O
(
q
8
)
q + q^{3} - 2q^{4} - q^{5} - 2q^{7} + O(q^{8})
q
+
q
3
−
2
q
4
−
q
5
−
2
q
7
+
O
(
q
8
)
−
1
-1
−
1
381a1
rank 1
381.2.a.b
1
q
+
2
q
2
+
q
3
+
2
q
4
+
3
q
5
+
2
q
6
−
4
q
7
+
O
(
q
8
)
q + 2q^{2} + q^{3} + 2q^{4} + 3q^{5} + 2q^{6} - 4q^{7} + O(q^{8})
q
+
2
q
2
+
q
3
+
2
q
4
+
3
q
5
+
2
q
6
−
4
q
7
+
O
(
q
8
)
+
1
+1
+
1
381b1
rank 0
381.2.a.c
5
5
q
−
q
2
−
5
q
3
+
q
4
−
5
q
5
+
q
6
+
O
(
q
8
)
5q - q^{2} - 5q^{3} + q^{4} - 5q^{5} + q^{6} + O(q^{8})
5
q
−
q
2
−
5
q
3
+
q
4
−
5
q
5
+
q
6
+
O
(
q
8
)
−
1
-1
−
1
381.2.a.d
5
5
q
+
2
q
2
−
5
q
3
+
6
q
4
+
q
5
−
2
q
6
+
O
(
q
8
)
5q + 2q^{2} - 5q^{3} + 6q^{4} + q^{5} - 2q^{6} + O(q^{8})
5
q
+
2
q
2
−
5
q
3
+
6
q
4
+
q
5
−
2
q
6
+
O
(
q
8
)
+
1
+1
+
1
381.2.a.e
9
9
q
−
2
q
2
+
9
q
3
+
14
q
4
−
4
q
5
−
2
q
6
+
10
q
7
+
O
(
q
8
)
9q - 2q^{2} + 9q^{3} + 14q^{4} - 4q^{5} - 2q^{6} + 10q^{7} + O(q^{8})
9
q
−
2
q
2
+
9
q
3
+
14
q
4
−
4
q
5
−
2
q
6
+
10
q
7
+
O
(
q
8
)
+
1
+1
+
1