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Modular forms
› Level 505
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
505.2.a.a
1
q
+
q
2
−
q
4
−
q
5
+
O
(
q
8
)
q + q^{2} - q^{4} - q^{5} + O(q^{8})
q
+
q
2
−
q
4
−
q
5
+
O
(
q
8
)
−
1
-1
−
1
505a1
rank 1
505.2.a.b
6
6
q
−
3
q
2
−
q
3
+
5
q
4
−
6
q
5
−
8
q
6
−
2
q
7
+
O
(
q
8
)
6q - 3q^{2} - q^{3} + 5q^{4} - 6q^{5} - 8q^{6} - 2q^{7} + O(q^{8})
6
q
−
3
q
2
−
q
3
+
5
q
4
−
6
q
5
−
8
q
6
−
2
q
7
+
O
(
q
8
)
−
1
-1
−
1
505.2.a.c
8
8
q
−
5
q
2
−
11
q
3
+
7
q
4
+
8
q
5
+
4
q
6
−
12
q
7
+
O
(
q
8
)
8q - 5q^{2} - 11q^{3} + 7q^{4} + 8q^{5} + 4q^{6} - 12q^{7} + O(q^{8})
8
q
−
5
q
2
−
11
q
3
+
7
q
4
+
8
q
5
+
4
q
6
−
12
q
7
+
O
(
q
8
)
−
1
-1
−
1
505.2.a.d
9
9
q
+
2
q
2
+
q
3
+
10
q
4
−
9
q
5
+
4
q
6
+
O
(
q
8
)
9q + 2q^{2} + q^{3} + 10q^{4} - 9q^{5} + 4q^{6} + O(q^{8})
9
q
+
2
q
2
+
q
3
+
10
q
4
−
9
q
5
+
4
q
6
+
O
(
q
8
)
+
1
+1
+
1
505.2.a.e
9
9
q
+
2
q
2
+
7
q
3
+
6
q
4
+
9
q
5
+
4
q
6
+
6
q
7
+
O
(
q
8
)
9q + 2q^{2} + 7q^{3} + 6q^{4} + 9q^{5} + 4q^{6} + 6q^{7} + O(q^{8})
9
q
+
2
q
2
+
7
q
3
+
6
q
4
+
9
q
5
+
4
q
6
+
6
q
7
+
O
(
q
8
)
+
1
+1
+
1