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› Level 749
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
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5 orbits; showing 1–5 ·
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Label
Dim
Trace form
Sign
CM
Curve
749.2.a.a
1
q
−
q
2
+
q
3
−
q
4
−
2
q
5
−
q
6
+
q
7
+
O
(
q
8
)
q - q^{2} + q^{3} - q^{4} - 2q^{5} - q^{6} + q^{7} + O(q^{8})
q
−
q
2
+
q
3
−
q
4
−
2
q
5
−
q
6
+
q
7
+
O
(
q
8
)
−
1
-1
−
1
749a1
rank 1
749.2.a.b
6
6
q
−
q
2
−
4
q
3
+
q
4
−
5
q
6
+
6
q
7
+
O
(
q
8
)
6q - q^{2} - 4q^{3} + q^{4} - 5q^{6} + 6q^{7} + O(q^{8})
6
q
−
q
2
−
4
q
3
+
q
4
−
5
q
6
+
6
q
7
+
O
(
q
8
)
−
1
-1
−
1
749.2.a.c
12
12
q
−
5
q
3
+
8
q
4
−
4
q
5
−
6
q
6
−
12
q
7
+
O
(
q
8
)
12q - 5q^{3} + 8q^{4} - 4q^{5} - 6q^{6} - 12q^{7} + O(q^{8})
12
q
−
5
q
3
+
8
q
4
−
4
q
5
−
6
q
6
−
12
q
7
+
O
(
q
8
)
−
1
-1
−
1
749.2.a.d
14
14
q
+
q
2
+
5
q
3
+
17
q
4
+
2
q
5
+
12
q
6
−
14
q
7
+
O
(
q
8
)
14q + q^{2} + 5q^{3} + 17q^{4} + 2q^{5} + 12q^{6} - 14q^{7} + O(q^{8})
14
q
+
q
2
+
5
q
3
+
17
q
4
+
2
q
5
+
12
q
6
−
14
q
7
+
O
(
q
8
)
+
1
+1
+
1
749.2.a.e
20
20
q
+
2
q
2
+
3
q
3
+
32
q
4
−
2
q
5
+
20
q
7
+
O
(
q
8
)
20q + 2q^{2} + 3q^{3} + 32q^{4} - 2q^{5} + 20q^{7} + O(q^{8})
20
q
+
2
q
2
+
3
q
3
+
32
q
4
−
2
q
5
+
20
q
7
+
O
(
q
8
)
+
1
+1
+
1