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Modular forms
› Level 90
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
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15 orbits; showing 1–15 ·
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Label
Dim
Trace form
Sign
CM
Curve
90.2.a.a
1
q
−
q
2
+
q
4
+
q
5
+
2
q
7
+
O
(
q
8
)
q - q^{2} + q^{4} + q^{5} + 2q^{7} + O(q^{8})
q
−
q
2
+
q
4
+
q
5
+
2
q
7
+
O
(
q
8
)
90a1
rank 0
90.2.a.b
1
q
+
q
2
+
q
4
−
q
5
+
2
q
7
+
O
(
q
8
)
q + q^{2} + q^{4} - q^{5} + 2q^{7} + O(q^{8})
q
+
q
2
+
q
4
−
q
5
+
2
q
7
+
O
(
q
8
)
90b1
rank 0
90.2.a.c
1
q
+
q
2
+
q
4
+
q
5
−
4
q
7
+
O
(
q
8
)
q + q^{2} + q^{4} + q^{5} - 4q^{7} + O(q^{8})
q
+
q
2
+
q
4
+
q
5
−
4
q
7
+
O
(
q
8
)
90c1
rank 0
90.4.a.a
1
q
−
2
q
2
+
4
q
4
−
5
q
5
−
4
q
7
+
O
(
q
8
)
q - 2q^{2} + 4q^{4} - 5q^{5} - 4q^{7} + O(q^{8})
q
−
2
q
2
+
4
q
4
−
5
q
5
−
4
q
7
+
O
(
q
8
)
90.4.a.b
1
q
−
2
q
2
+
4
q
4
−
5
q
5
+
14
q
7
+
O
(
q
8
)
q - 2q^{2} + 4q^{4} - 5q^{5} + 14q^{7} + O(q^{8})
q
−
2
q
2
+
4
q
4
−
5
q
5
+
14
q
7
+
O
(
q
8
)
90.4.a.c
1
q
−
2
q
2
+
4
q
4
+
5
q
5
−
4
q
7
+
O
(
q
8
)
q - 2q^{2} + 4q^{4} + 5q^{5} - 4q^{7} + O(q^{8})
q
−
2
q
2
+
4
q
4
+
5
q
5
−
4
q
7
+
O
(
q
8
)
90.4.a.d
1
q
+
2
q
2
+
4
q
4
−
5
q
5
+
32
q
7
+
O
(
q
8
)
q + 2q^{2} + 4q^{4} - 5q^{5} + 32q^{7} + O(q^{8})
q
+
2
q
2
+
4
q
4
−
5
q
5
+
32
q
7
+
O
(
q
8
)
90.4.a.e
1
q
+
2
q
2
+
4
q
4
+
5
q
5
+
14
q
7
+
O
(
q
8
)
q + 2q^{2} + 4q^{4} + 5q^{5} + 14q^{7} + O(q^{8})
q
+
2
q
2
+
4
q
4
+
5
q
5
+
14
q
7
+
O
(
q
8
)
90.6.a.a
1
q
−
4
q
2
+
16
q
4
−
25
q
5
+
32
q
7
+
O
(
q
8
)
q - 4q^{2} + 16q^{4} - 25q^{5} + 32q^{7} + O(q^{8})
q
−
4
q
2
+
16
q
4
−
25
q
5
+
32
q
7
+
O
(
q
8
)
90.6.a.b
1
q
−
4
q
2
+
16
q
4
+
25
q
5
−
118
q
7
+
O
(
q
8
)
q - 4q^{2} + 16q^{4} + 25q^{5} - 118q^{7} + O(q^{8})
q
−
4
q
2
+
16
q
4
+
25
q
5
−
118
q
7
+
O
(
q
8
)
90.6.a.c
1
q
−
4
q
2
+
16
q
4
+
25
q
5
+
98
q
7
+
O
(
q
8
)
q - 4q^{2} + 16q^{4} + 25q^{5} + 98q^{7} + O(q^{8})
q
−
4
q
2
+
16
q
4
+
25
q
5
+
98
q
7
+
O
(
q
8
)
90.6.a.d
1
q
+
4
q
2
+
16
q
4
−
25
q
5
−
172
q
7
+
O
(
q
8
)
q + 4q^{2} + 16q^{4} - 25q^{5} - 172q^{7} + O(q^{8})
q
+
4
q
2
+
16
q
4
−
25
q
5
−
172
q
7
+
O
(
q
8
)
90.6.a.e
1
q
+
4
q
2
+
16
q
4
−
25
q
5
+
98
q
7
+
O
(
q
8
)
q + 4q^{2} + 16q^{4} - 25q^{5} + 98q^{7} + O(q^{8})
q
+
4
q
2
+
16
q
4
−
25
q
5
+
98
q
7
+
O
(
q
8
)
90.6.a.f
1
q
+
4
q
2
+
16
q
4
+
25
q
5
−
22
q
7
+
O
(
q
8
)
q + 4q^{2} + 16q^{4} + 25q^{5} - 22q^{7} + O(q^{8})
q
+
4
q
2
+
16
q
4
+
25
q
5
−
22
q
7
+
O
(
q
8
)
90.6.a.g
1
q
+
4
q
2
+
16
q
4
+
25
q
5
+
164
q
7
+
O
(
q
8
)
q + 4q^{2} + 16q^{4} + 25q^{5} + 164q^{7} + O(q^{8})
q
+
4
q
2
+
16
q
4
+
25
q
5
+
164
q
7
+
O
(
q
8
)