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› Level 109
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
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7 orbits; showing 1–7 ·
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Label
Dim
Trace form
Sign
CM
Curve
109.2.a.a
1
q
+
q
2
−
q
4
+
3
q
5
+
2
q
7
+
O
(
q
8
)
q + q^{2} - q^{4} + 3q^{5} + 2q^{7} + O(q^{8})
q
+
q
2
−
q
4
+
3
q
5
+
2
q
7
+
O
(
q
8
)
+
1
+1
+
1
109a1
rank 0
109.2.a.b
3
3
q
−
2
q
2
−
4
q
3
−
6
q
5
−
2
q
6
−
q
7
+
O
(
q
8
)
3q - 2q^{2} - 4q^{3} - 6q^{5} - 2q^{6} - q^{7} + O(q^{8})
3
q
−
2
q
2
−
4
q
3
−
6
q
5
−
2
q
6
−
q
7
+
O
(
q
8
)
−
1
-1
−
1
109.2.a.c
4
4
q
−
q
2
+
4
q
3
+
3
q
4
+
q
5
−
3
q
7
+
O
(
q
8
)
4q - q^{2} + 4q^{3} + 3q^{4} + q^{5} - 3q^{7} + O(q^{8})
4
q
−
q
2
+
4
q
3
+
3
q
4
+
q
5
−
3
q
7
+
O
(
q
8
)
+
1
+1
+
1
109.4.a.a
12
12
q
−
6
q
2
−
19
q
3
+
36
q
4
−
40
q
5
−
53
q
6
−
32
q
7
+
O
(
q
8
)
12q - 6q^{2} - 19q^{3} + 36q^{4} - 40q^{5} - 53q^{6} - 32q^{7} + O(q^{8})
12
q
−
6
q
2
−
19
q
3
+
36
q
4
−
40
q
5
−
53
q
6
−
32
q
7
+
O
(
q
8
)
−
1
-1
−
1
109.4.a.b
15
15
q
+
4
q
2
+
17
q
3
+
72
q
4
+
40
q
5
+
31
q
6
+
24
q
7
+
O
(
q
8
)
15q + 4q^{2} + 17q^{3} + 72q^{4} + 40q^{5} + 31q^{6} + 24q^{7} + O(q^{8})
15
q
+
4
q
2
+
17
q
3
+
72
q
4
+
40
q
5
+
31
q
6
+
24
q
7
+
O
(
q
8
)
+
1
+1
+
1
109.6.a.a
21
21
q
−
8
q
2
−
64
q
3
+
288
q
4
−
218
q
5
−
155
q
6
−
293
q
7
+
O
(
q
8
)
21q - 8q^{2} - 64q^{3} + 288q^{4} - 218q^{5} - 155q^{6} - 293q^{7} + O(q^{8})
21
q
−
8
q
2
−
64
q
3
+
288
q
4
−
218
q
5
−
155
q
6
−
293
q
7
+
O
(
q
8
)
−
1
-1
−
1
109.6.a.b
24
24
q
+
12
q
2
+
44
q
3
+
432
q
4
+
182
q
5
+
349
q
6
+
99
q
7
+
O
(
q
8
)
24q + 12q^{2} + 44q^{3} + 432q^{4} + 182q^{5} + 349q^{6} + 99q^{7} + O(q^{8})
24
q
+
12
q
2
+
44
q
3
+
432
q
4
+
182
q
5
+
349
q
6
+
99
q
7
+
O
(
q
8
)
+
1
+1
+
1