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Modular forms
› Level 389
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
389.2.a.a
1
q
−
2
q
2
−
2
q
3
+
2
q
4
−
3
q
5
+
4
q
6
−
5
q
7
+
O
(
q
8
)
q - 2q^{2} - 2q^{3} + 2q^{4} - 3q^{5} + 4q^{6} - 5q^{7} + O(q^{8})
q
−
2
q
2
−
2
q
3
+
2
q
4
−
3
q
5
+
4
q
6
−
5
q
7
+
O
(
q
8
)
+
1
+1
+
1
389a1
rank 2
389.2.a.b
2
2
q
−
4
q
3
−
2
q
5
+
4
q
6
−
2
q
7
+
O
(
q
8
)
2q - 4q^{3} - 2q^{5} + 4q^{6} - 2q^{7} + O(q^{8})
2
q
−
4
q
3
−
2
q
5
+
4
q
6
−
2
q
7
+
O
(
q
8
)
−
1
-1
−
1
389.2.a.c
3
3
q
+
2
q
4
−
5
q
5
−
8
q
6
−
3
q
7
+
O
(
q
8
)
3q + 2q^{4} - 5q^{5} - 8q^{6} - 3q^{7} + O(q^{8})
3
q
+
2
q
4
−
5
q
5
−
8
q
6
−
3
q
7
+
O
(
q
8
)
−
1
-1
−
1
389.2.a.d
6
6
q
−
3
q
2
−
5
q
3
+
q
4
+
3
q
5
−
q
6
−
4
q
7
+
O
(
q
8
)
6q - 3q^{2} - 5q^{3} + q^{4} + 3q^{5} - q^{6} - 4q^{7} + O(q^{8})
6
q
−
3
q
2
−
5
q
3
+
q
4
+
3
q
5
−
q
6
−
4
q
7
+
O
(
q
8
)
−
1
-1
−
1
389.2.a.e
20
20
q
+
3
q
2
+
11
q
3
+
27
q
4
+
q
5
+
q
6
+
12
q
7
+
O
(
q
8
)
20q + 3q^{2} + 11q^{3} + 27q^{4} + q^{5} + q^{6} + 12q^{7} + O(q^{8})
20
q
+
3
q
2
+
11
q
3
+
27
q
4
+
q
5
+
q
6
+
12
q
7
+
O
(
q
8
)
+
1
+1
+
1