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Modular forms
› Level 427
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
Search
7 orbits; showing 1–7 ·
JSON
Label
Dim
Trace form
Sign
CM
Curve
427.2.a.a
1
q
−
q
2
+
q
3
−
q
4
−
q
6
−
q
7
+
O
(
q
8
)
q - q^{2} + q^{3} - q^{4} - q^{6} - q^{7} + O(q^{8})
q
−
q
2
+
q
3
−
q
4
−
q
6
−
q
7
+
O
(
q
8
)
−
1
-1
−
1
427c1
rank 1
427.2.a.b
1
q
+
2
q
3
−
2
q
4
+
4
q
5
+
q
7
+
O
(
q
8
)
q + 2q^{3} - 2q^{4} + 4q^{5} + q^{7} + O(q^{8})
q
+
2
q
3
−
2
q
4
+
4
q
5
+
q
7
+
O
(
q
8
)
+
1
+1
+
1
427a1
rank 0
427.2.a.c
1
q
+
q
2
+
q
3
−
q
4
−
4
q
5
+
q
6
+
q
7
+
O
(
q
8
)
q + q^{2} + q^{3} - q^{4} - 4q^{5} + q^{6} + q^{7} + O(q^{8})
q
+
q
2
+
q
3
−
q
4
−
4
q
5
+
q
6
+
q
7
+
O
(
q
8
)
−
1
-1
−
1
427b1
rank 1
427.2.a.d
6
6
q
−
5
q
2
−
8
q
3
+
9
q
4
−
9
q
5
+
q
6
+
6
q
7
+
O
(
q
8
)
6q - 5q^{2} - 8q^{3} + 9q^{4} - 9q^{5} + q^{6} + 6q^{7} + O(q^{8})
6
q
−
5
q
2
−
8
q
3
+
9
q
4
−
9
q
5
+
q
6
+
6
q
7
+
O
(
q
8
)
−
1
-1
−
1
427.2.a.e
6
6
q
−
5
q
2
+
9
q
4
−
5
q
5
−
3
q
6
−
6
q
7
+
O
(
q
8
)
6q - 5q^{2} + 9q^{4} - 5q^{5} - 3q^{6} - 6q^{7} + O(q^{8})
6
q
−
5
q
2
+
9
q
4
−
5
q
5
−
3
q
6
−
6
q
7
+
O
(
q
8
)
−
1
-1
−
1
427.2.a.f
7
7
q
+
4
q
2
+
q
3
+
8
q
4
+
7
q
5
+
2
q
6
+
7
q
7
+
O
(
q
8
)
7q + 4q^{2} + q^{3} + 8q^{4} + 7q^{5} + 2q^{6} + 7q^{7} + O(q^{8})
7
q
+
4
q
2
+
q
3
+
8
q
4
+
7
q
5
+
2
q
6
+
7
q
7
+
O
(
q
8
)
+
1
+1
+
1
427.2.a.g
9
9
q
+
5
q
2
−
q
3
+
13
q
4
+
9
q
5
−
4
q
6
−
9
q
7
+
O
(
q
8
)
9q + 5q^{2} - q^{3} + 13q^{4} + 9q^{5} - 4q^{6} - 9q^{7} + O(q^{8})
9
q
+
5
q
2
−
q
3
+
13
q
4
+
9
q
5
−
4
q
6
−
9
q
7
+
O
(
q
8
)
+
1
+1
+
1