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Modular forms
› Level 162
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
Search
12 orbits; showing 1–12 ·
JSON
Label
Dim
Trace form
Sign
CM
Curve
162.2.a.a
1
q
−
q
2
+
q
4
−
3
q
5
−
4
q
7
+
O
(
q
8
)
q - q^{2} + q^{4} - 3q^{5} - 4q^{7} + O(q^{8})
q
−
q
2
+
q
4
−
3
q
5
−
4
q
7
+
O
(
q
8
)
162a1
rank 1
162.2.a.b
1
q
−
q
2
+
q
4
+
2
q
7
+
O
(
q
8
)
q - q^{2} + q^{4} + 2q^{7} + O(q^{8})
q
−
q
2
+
q
4
+
2
q
7
+
O
(
q
8
)
162c1
rank 0
162.2.a.c
1
q
+
q
2
+
q
4
+
2
q
7
+
O
(
q
8
)
q + q^{2} + q^{4} + 2q^{7} + O(q^{8})
q
+
q
2
+
q
4
+
2
q
7
+
O
(
q
8
)
162b1
rank 0
162.2.a.d
1
q
+
q
2
+
q
4
+
3
q
5
−
4
q
7
+
O
(
q
8
)
q + q^{2} + q^{4} + 3q^{5} - 4q^{7} + O(q^{8})
q
+
q
2
+
q
4
+
3
q
5
−
4
q
7
+
O
(
q
8
)
162d1
rank 0
162.4.a.a
1
q
−
2
q
2
+
4
q
4
+
9
q
5
−
31
q
7
+
O
(
q
8
)
q - 2q^{2} + 4q^{4} + 9q^{5} - 31q^{7} + O(q^{8})
q
−
2
q
2
+
4
q
4
+
9
q
5
−
31
q
7
+
O
(
q
8
)
162.4.a.b
1
q
−
2
q
2
+
4
q
4
+
21
q
5
+
8
q
7
+
O
(
q
8
)
q - 2q^{2} + 4q^{4} + 21q^{5} + 8q^{7} + O(q^{8})
q
−
2
q
2
+
4
q
4
+
21
q
5
+
8
q
7
+
O
(
q
8
)
162.4.a.c
1
q
+
2
q
2
+
4
q
4
−
21
q
5
+
8
q
7
+
O
(
q
8
)
q + 2q^{2} + 4q^{4} - 21q^{5} + 8q^{7} + O(q^{8})
q
+
2
q
2
+
4
q
4
−
21
q
5
+
8
q
7
+
O
(
q
8
)
162.4.a.d
1
q
+
2
q
2
+
4
q
4
−
9
q
5
−
31
q
7
+
O
(
q
8
)
q + 2q^{2} + 4q^{4} - 9q^{5} - 31q^{7} + O(q^{8})
q
+
2
q
2
+
4
q
4
−
9
q
5
−
31
q
7
+
O
(
q
8
)
162.4.a.e
2
2
q
−
4
q
2
+
8
q
4
−
12
q
5
+
16
q
7
+
O
(
q
8
)
2q - 4q^{2} + 8q^{4} - 12q^{5} + 16q^{7} + O(q^{8})
2
q
−
4
q
2
+
8
q
4
−
12
q
5
+
16
q
7
+
O
(
q
8
)
162.4.a.f
2
2
q
−
4
q
2
+
8
q
4
−
9
q
5
+
19
q
7
+
O
(
q
8
)
2q - 4q^{2} + 8q^{4} - 9q^{5} + 19q^{7} + O(q^{8})
2
q
−
4
q
2
+
8
q
4
−
9
q
5
+
19
q
7
+
O
(
q
8
)
162.4.a.g
2
2
q
+
4
q
2
+
8
q
4
+
9
q
5
+
19
q
7
+
O
(
q
8
)
2q + 4q^{2} + 8q^{4} + 9q^{5} + 19q^{7} + O(q^{8})
2
q
+
4
q
2
+
8
q
4
+
9
q
5
+
19
q
7
+
O
(
q
8
)
162.4.a.h
2
2
q
+
4
q
2
+
8
q
4
+
12
q
5
+
16
q
7
+
O
(
q
8
)
2q + 4q^{2} + 8q^{4} + 12q^{5} + 16q^{7} + O(q^{8})
2
q
+
4
q
2
+
8
q
4
+
12
q
5
+
16
q
7
+
O
(
q
8
)