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Modular forms
› Level 501
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
501.2.a.a
1
q
+
q
2
−
q
3
−
q
4
−
4
q
5
−
q
6
+
4
q
7
+
O
(
q
8
)
q + q^{2} - q^{3} - q^{4} - 4q^{5} - q^{6} + 4q^{7} + O(q^{8})
q
+
q
2
−
q
3
−
q
4
−
4
q
5
−
q
6
+
4
q
7
+
O
(
q
8
)
+
1
+1
+
1
501a1
rank 0
501.2.a.b
5
5
q
−
4
q
2
+
5
q
3
+
4
q
4
−
9
q
5
−
4
q
6
−
4
q
7
+
O
(
q
8
)
5q - 4q^{2} + 5q^{3} + 4q^{4} - 9q^{5} - 4q^{6} - 4q^{7} + O(q^{8})
5
q
−
4
q
2
+
5
q
3
+
4
q
4
−
9
q
5
−
4
q
6
−
4
q
7
+
O
(
q
8
)
−
1
-1
−
1
501.2.a.c
5
5
q
−
5
q
3
−
q
5
−
4
q
7
+
O
(
q
8
)
5q - 5q^{3} - q^{5} - 4q^{7} + O(q^{8})
5
q
−
5
q
3
−
q
5
−
4
q
7
+
O
(
q
8
)
−
1
-1
−
1
501.2.a.d
8
8
q
−
3
q
2
−
8
q
3
+
13
q
4
+
q
5
+
3
q
6
+
O
(
q
8
)
8q - 3q^{2} - 8q^{3} + 13q^{4} + q^{5} + 3q^{6} + O(q^{8})
8
q
−
3
q
2
−
8
q
3
+
13
q
4
+
q
5
+
3
q
6
+
O
(
q
8
)
+
1
+1
+
1
501.2.a.e
8
8
q
+
3
q
2
+
8
q
3
+
9
q
4
+
7
q
5
+
3
q
6
−
4
q
7
+
O
(
q
8
)
8q + 3q^{2} + 8q^{3} + 9q^{4} + 7q^{5} + 3q^{6} - 4q^{7} + O(q^{8})
8
q
+
3
q
2
+
8
q
3
+
9
q
4
+
7
q
5
+
3
q
6
−
4
q
7
+
O
(
q
8
)
+
1
+1
+
1