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Modular forms
› Level 622
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
Search
5 orbits; showing 1–5 ·
JSON
Label
Dim
Trace form
Sign
CM
Curve
622.2.a.a
1
q
+
q
2
+
q
4
−
4
q
5
+
q
7
+
O
(
q
8
)
q + q^{2} + q^{4} - 4q^{5} + q^{7} + O(q^{8})
q
+
q
2
+
q
4
−
4
q
5
+
q
7
+
O
(
q
8
)
−
1
-1
−
1
622a1
rank 1
622.2.a.b
4
4
q
+
4
q
2
−
5
q
3
+
4
q
4
−
3
q
5
−
5
q
6
−
11
q
7
+
O
(
q
8
)
4q + 4q^{2} - 5q^{3} + 4q^{4} - 3q^{5} - 5q^{6} - 11q^{7} + O(q^{8})
4
q
+
4
q
2
−
5
q
3
+
4
q
4
−
3
q
5
−
5
q
6
−
11
q
7
+
O
(
q
8
)
−
1
-1
−
1
622.2.a.c
5
5
q
−
5
q
2
−
q
3
+
5
q
4
−
5
q
5
+
q
6
+
O
(
q
8
)
5q - 5q^{2} - q^{3} + 5q^{4} - 5q^{5} + q^{6} + O(q^{8})
5
q
−
5
q
2
−
q
3
+
5
q
4
−
5
q
5
+
q
6
+
O
(
q
8
)
−
1
-1
−
1
622.2.a.d
7
7
q
+
7
q
2
+
3
q
3
+
7
q
4
+
5
q
5
+
3
q
6
+
4
q
7
+
O
(
q
8
)
7q + 7q^{2} + 3q^{3} + 7q^{4} + 5q^{5} + 3q^{6} + 4q^{7} + O(q^{8})
7
q
+
7
q
2
+
3
q
3
+
7
q
4
+
5
q
5
+
3
q
6
+
4
q
7
+
O
(
q
8
)
+
1
+1
+
1
622.2.a.e
8
8
q
−
8
q
2
+
3
q
3
+
8
q
4
+
9
q
5
−
3
q
6
+
2
q
7
+
O
(
q
8
)
8q - 8q^{2} + 3q^{3} + 8q^{4} + 9q^{5} - 3q^{6} + 2q^{7} + O(q^{8})
8
q
−
8
q
2
+
3
q
3
+
8
q
4
+
9
q
5
−
3
q
6
+
2
q
7
+
O
(
q
8
)
+
1
+1
+
1