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Modular forms
› Level 422
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
Search
6 orbits; showing 1–6 ·
JSON
Label
Dim
Trace form
Sign
CM
Curve
422.2.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
)
−
1
-1
−
1
422a1
rank 1
422.2.a.b
2
2
q
−
2
q
2
+
3
q
3
+
2
q
4
+
2
q
5
−
3
q
6
+
8
q
7
+
O
(
q
8
)
2q - 2q^{2} + 3q^{3} + 2q^{4} + 2q^{5} - 3q^{6} + 8q^{7} + O(q^{8})
2
q
−
2
q
2
+
3
q
3
+
2
q
4
+
2
q
5
−
3
q
6
+
8
q
7
+
O
(
q
8
)
+
1
+1
+
1
422.2.a.c
3
3
q
−
3
q
2
−
q
3
+
3
q
4
−
5
q
5
+
q
6
−
5
q
7
+
O
(
q
8
)
3q - 3q^{2} - q^{3} + 3q^{4} - 5q^{5} + q^{6} - 5q^{7} + O(q^{8})
3
q
−
3
q
2
−
q
3
+
3
q
4
−
5
q
5
+
q
6
−
5
q
7
+
O
(
q
8
)
−
1
-1
−
1
422.2.a.d
3
3
q
−
3
q
2
−
q
3
+
3
q
4
+
q
5
+
q
6
+
q
7
+
O
(
q
8
)
3q - 3q^{2} - q^{3} + 3q^{4} + q^{5} + q^{6} + q^{7} + O(q^{8})
3
q
−
3
q
2
−
q
3
+
3
q
4
+
q
5
+
q
6
+
q
7
+
O
(
q
8
)
+
1
+1
+
1
422.2.a.e
3
3
q
+
3
q
2
−
5
q
3
+
3
q
4
−
3
q
5
−
5
q
6
−
9
q
7
+
O
(
q
8
)
3q + 3q^{2} - 5q^{3} + 3q^{4} - 3q^{5} - 5q^{6} - 9q^{7} + O(q^{8})
3
q
+
3
q
2
−
5
q
3
+
3
q
4
−
3
q
5
−
5
q
6
−
9
q
7
+
O
(
q
8
)
−
1
-1
−
1
422.2.a.f
6
6
q
+
6
q
2
+
4
q
3
+
6
q
4
−
2
q
5
+
4
q
6
+
7
q
7
+
O
(
q
8
)
6q + 6q^{2} + 4q^{3} + 6q^{4} - 2q^{5} + 4q^{6} + 7q^{7} + O(q^{8})
6
q
+
6
q
2
+
4
q
3
+
6
q
4
−
2
q
5
+
4
q
6
+
7
q
7
+
O
(
q
8
)
+
1
+1
+
1