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Modular forms
› Level 909
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
Search
11 orbits; showing 1–11 ·
JSON
Label
Dim
Trace form
Sign
CM
Curve
909.2.a.a
1
q
−
2
q
4
+
q
5
−
2
q
7
+
O
(
q
8
)
q - 2q^{4} + q^{5} - 2q^{7} + O(q^{8})
q
−
2
q
4
+
q
5
−
2
q
7
+
O
(
q
8
)
909c1
rank 1
909.2.a.b
1
q
−
2
q
4
+
3
q
5
+
O
(
q
8
)
q - 2q^{4} + 3q^{5} + O(q^{8})
q
−
2
q
4
+
3
q
5
+
O
(
q
8
)
909a1
rank 0
909.2.a.c
1
q
+
2
q
2
+
2
q
4
+
q
5
−
2
q
7
+
O
(
q
8
)
q + 2q^{2} + 2q^{4} + q^{5} - 2q^{7} + O(q^{8})
q
+
2
q
2
+
2
q
4
+
q
5
−
2
q
7
+
O
(
q
8
)
909b1
rank 0
909.2.a.d
2
2
q
+
2
q
5
−
4
q
7
+
O
(
q
8
)
2q + 2q^{5} - 4q^{7} + O(q^{8})
2
q
+
2
q
5
−
4
q
7
+
O
(
q
8
)
909.2.a.e
4
4
q
−
3
q
2
+
3
q
4
−
2
q
7
+
O
(
q
8
)
4q - 3q^{2} + 3q^{4} - 2q^{7} + O(q^{8})
4
q
−
3
q
2
+
3
q
4
−
2
q
7
+
O
(
q
8
)
909.2.a.f
4
4
q
+
4
q
4
−
4
q
5
+
2
q
7
+
O
(
q
8
)
4q + 4q^{4} - 4q^{5} + 2q^{7} + O(q^{8})
4
q
+
4
q
4
−
4
q
5
+
2
q
7
+
O
(
q
8
)
909.2.a.g
4
4
q
+
4
q
4
+
4
q
5
+
2
q
7
+
O
(
q
8
)
4q + 4q^{4} + 4q^{5} + 2q^{7} + O(q^{8})
4
q
+
4
q
4
+
4
q
5
+
2
q
7
+
O
(
q
8
)
909.2.a.h
4
4
q
+
3
q
2
+
3
q
4
−
2
q
7
+
O
(
q
8
)
4q + 3q^{2} + 3q^{4} - 2q^{7} + O(q^{8})
4
q
+
3
q
2
+
3
q
4
−
2
q
7
+
O
(
q
8
)
909.2.a.i
6
6
q
−
q
2
+
3
q
4
−
6
q
5
+
O
(
q
8
)
6q - q^{2} + 3q^{4} - 6q^{5} + O(q^{8})
6
q
−
q
2
+
3
q
4
−
6
q
5
+
O
(
q
8
)
909.2.a.j
7
7
q
+
10
q
4
−
6
q
5
+
6
q
7
+
O
(
q
8
)
7q + 10q^{4} - 6q^{5} + 6q^{7} + O(q^{8})
7
q
+
10
q
4
−
6
q
5
+
6
q
7
+
O
(
q
8
)
909.2.a.k
7
7
q
+
12
q
4
+
3
q
5
+
2
q
7
+
O
(
q
8
)
7q + 12q^{4} + 3q^{5} + 2q^{7} + O(q^{8})
7
q
+
12
q
4
+
3
q
5
+
2
q
7
+
O
(
q
8
)