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Modular forms
› Level 369
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
369.2.a.a
1
q
−
2
q
4
+
2
q
5
−
4
q
7
+
O
(
q
8
)
q - 2q^{4} + 2q^{5} - 4q^{7} + O(q^{8})
q
−
2
q
4
+
2
q
5
−
4
q
7
+
O
(
q
8
)
369a1
rank 1
369.2.a.b
1
q
+
2
q
2
+
2
q
4
+
4
q
5
−
2
q
7
+
O
(
q
8
)
q + 2q^{2} + 2q^{4} + 4q^{5} - 2q^{7} + O(q^{8})
q
+
2
q
2
+
2
q
4
+
4
q
5
−
2
q
7
+
O
(
q
8
)
369b1
rank 0
369.2.a.c
2
2
q
−
4
q
5
−
4
q
7
+
O
(
q
8
)
2q - 4q^{5} - 4q^{7} + O(q^{8})
2
q
−
4
q
5
−
4
q
7
+
O
(
q
8
)
369.2.a.d
3
3
q
−
2
q
2
+
2
q
4
−
4
q
5
+
O
(
q
8
)
3q - 2q^{2} + 2q^{4} - 4q^{5} + O(q^{8})
3
q
−
2
q
2
+
2
q
4
−
4
q
5
+
O
(
q
8
)
369.2.a.e
3
3
q
−
q
2
+
3
q
4
−
4
q
5
+
2
q
7
+
O
(
q
8
)
3q - q^{2} + 3q^{4} - 4q^{5} + 2q^{7} + O(q^{8})
3
q
−
q
2
+
3
q
4
−
4
q
5
+
2
q
7
+
O
(
q
8
)
369.2.a.f
3
3
q
+
q
2
+
5
q
4
+
2
q
5
+
6
q
7
+
O
(
q
8
)
3q + q^{2} + 5q^{4} + 2q^{5} + 6q^{7} + O(q^{8})
3
q
+
q
2
+
5
q
4
+
2
q
5
+
6
q
7
+
O
(
q
8
)
369.2.a.g
3
3
q
+
2
q
2
+
2
q
4
+
4
q
5
+
O
(
q
8
)
3q + 2q^{2} + 2q^{4} + 4q^{5} + O(q^{8})
3
q
+
2
q
2
+
2
q
4
+
4
q
5
+
O
(
q
8
)