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Modular forms
› Level 493
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
Search
8 orbits; showing 1–8 ·
JSON
Label
Dim
Trace form
Sign
CM
Curve
493.2.a.a
1
q
−
q
2
−
3
q
3
−
q
4
+
q
5
+
3
q
6
−
2
q
7
+
O
(
q
8
)
q - q^{2} - 3q^{3} - q^{4} + q^{5} + 3q^{6} - 2q^{7} + O(q^{8})
q
−
q
2
−
3
q
3
−
q
4
+
q
5
+
3
q
6
−
2
q
7
+
O
(
q
8
)
−
1
-1
−
1
493b1
rank 1
493.2.a.b
1
q
−
q
2
−
q
4
−
2
q
5
−
5
q
7
+
O
(
q
8
)
q - q^{2} - q^{4} - 2q^{5} - 5q^{7} + O(q^{8})
q
−
q
2
−
q
4
−
2
q
5
−
5
q
7
+
O
(
q
8
)
+
1
+1
+
1
493a1
rank 0
493.2.a.c
2
2
q
+
2
q
2
−
q
3
−
2
q
4
+
3
q
5
−
q
6
+
5
q
7
+
O
(
q
8
)
2q + 2q^{2} - q^{3} - 2q^{4} + 3q^{5} - q^{6} + 5q^{7} + O(q^{8})
2
q
+
2
q
2
−
q
3
−
2
q
4
+
3
q
5
−
q
6
+
5
q
7
+
O
(
q
8
)
+
1
+1
+
1
493.2.a.d
4
4
q
+
2
q
2
+
3
q
3
+
8
q
4
+
3
q
5
−
5
q
6
+
q
7
+
O
(
q
8
)
4q + 2q^{2} + 3q^{3} + 8q^{4} + 3q^{5} - 5q^{6} + q^{7} + O(q^{8})
4
q
+
2
q
2
+
3
q
3
+
8
q
4
+
3
q
5
−
5
q
6
+
q
7
+
O
(
q
8
)
+
1
+1
+
1
493.2.a.e
5
5
q
−
2
q
2
−
2
q
3
+
4
q
4
−
q
5
−
q
6
−
4
q
7
+
O
(
q
8
)
5q - 2q^{2} - 2q^{3} + 4q^{4} - q^{5} - q^{6} - 4q^{7} + O(q^{8})
5
q
−
2
q
2
−
2
q
3
+
4
q
4
−
q
5
−
q
6
−
4
q
7
+
O
(
q
8
)
−
1
-1
−
1
493.2.a.f
6
6
q
+
5
q
2
+
2
q
3
+
7
q
4
+
q
5
+
3
q
6
+
2
q
7
+
O
(
q
8
)
6q + 5q^{2} + 2q^{3} + 7q^{4} + q^{5} + 3q^{6} + 2q^{7} + O(q^{8})
6
q
+
5
q
2
+
2
q
3
+
7
q
4
+
q
5
+
3
q
6
+
2
q
7
+
O
(
q
8
)
+
1
+1
+
1
493.2.a.g
8
8
q
+
3
q
2
+
6
q
3
+
13
q
4
+
q
5
+
11
q
6
+
3
q
7
+
O
(
q
8
)
8q + 3q^{2} + 6q^{3} + 13q^{4} + q^{5} + 11q^{6} + 3q^{7} + O(q^{8})
8
q
+
3
q
2
+
6
q
3
+
13
q
4
+
q
5
+
11
q
6
+
3
q
7
+
O
(
q
8
)
+
1
+1
+
1
493.2.a.h
10
10
q
−
5
q
2
−
9
q
3
+
11
q
4
−
4
q
5
+
2
q
6
−
4
q
7
+
O
(
q
8
)
10q - 5q^{2} - 9q^{3} + 11q^{4} - 4q^{5} + 2q^{6} - 4q^{7} + O(q^{8})
10
q
−
5
q
2
−
9
q
3
+
11
q
4
−
4
q
5
+
2
q
6
−
4
q
7
+
O
(
q
8
)
−
1
-1
−
1