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Modular forms
› Level 497
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
497.2.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
497a1
rank 1
497.2.a.b
2
2
q
−
2
q
2
−
2
q
3
−
2
q
4
+
2
q
6
+
2
q
7
+
O
(
q
8
)
2q - 2q^{2} - 2q^{3} - 2q^{4} + 2q^{6} + 2q^{7} + O(q^{8})
2
q
−
2
q
2
−
2
q
3
−
2
q
4
+
2
q
6
+
2
q
7
+
O
(
q
8
)
−
1
-1
−
1
497.2.a.c
8
8
q
+
5
q
3
+
8
q
4
+
2
q
5
+
5
q
6
−
8
q
7
+
O
(
q
8
)
8q + 5q^{3} + 8q^{4} + 2q^{5} + 5q^{6} - 8q^{7} + O(q^{8})
8
q
+
5
q
3
+
8
q
4
+
2
q
5
+
5
q
6
−
8
q
7
+
O
(
q
8
)
+
1
+1
+
1
497.2.a.d
9
9
q
−
2
q
2
−
7
q
3
+
4
q
4
−
4
q
5
−
q
6
−
9
q
7
+
O
(
q
8
)
9q - 2q^{2} - 7q^{3} + 4q^{4} - 4q^{5} - q^{6} - 9q^{7} + O(q^{8})
9
q
−
2
q
2
−
7
q
3
+
4
q
4
−
4
q
5
−
q
6
−
9
q
7
+
O
(
q
8
)
−
1
-1
−
1
497.2.a.e
15
15
q
+
2
q
2
+
5
q
3
+
22
q
4
−
5
q
6
+
15
q
7
+
O
(
q
8
)
15q + 2q^{2} + 5q^{3} + 22q^{4} - 5q^{6} + 15q^{7} + O(q^{8})
15
q
+
2
q
2
+
5
q
3
+
22
q
4
−
5
q
6
+
15
q
7
+
O
(
q
8
)
+
1
+1
+
1