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Modular forms
› Level 194
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
194.2.a.a
1
q
+
q
2
+
q
4
+
4
q
5
−
4
q
7
+
O
(
q
8
)
q + q^{2} + q^{4} + 4q^{5} - 4q^{7} + O(q^{8})
q
+
q
2
+
q
4
+
4
q
5
−
4
q
7
+
O
(
q
8
)
+
1
+1
+
1
194a1
rank 0
194.2.a.b
4
4
q
−
4
q
2
+
2
q
3
+
4
q
4
−
2
q
5
−
2
q
6
+
6
q
7
+
O
(
q
8
)
4q - 4q^{2} + 2q^{3} + 4q^{4} - 2q^{5} - 2q^{6} + 6q^{7} + O(q^{8})
4
q
−
4
q
2
+
2
q
3
+
4
q
4
−
2
q
5
−
2
q
6
+
6
q
7
+
O
(
q
8
)
+
1
+1
+
1
194.2.a.c
4
4
q
+
4
q
2
+
2
q
3
+
4
q
4
−
2
q
5
+
2
q
6
+
2
q
7
+
O
(
q
8
)
4q + 4q^{2} + 2q^{3} + 4q^{4} - 2q^{5} + 2q^{6} + 2q^{7} + O(q^{8})
4
q
+
4
q
2
+
2
q
3
+
4
q
4
−
2
q
5
+
2
q
6
+
2
q
7
+
O
(
q
8
)
+
1
+1
+
1
194.4.a.a
3
3
q
+
6
q
2
−
8
q
3
+
12
q
4
−
11
q
5
−
16
q
6
−
23
q
7
+
O
(
q
8
)
3q + 6q^{2} - 8q^{3} + 12q^{4} - 11q^{5} - 16q^{6} - 23q^{7} + O(q^{8})
3
q
+
6
q
2
−
8
q
3
+
12
q
4
−
11
q
5
−
16
q
6
−
23
q
7
+
O
(
q
8
)
−
1
-1
−
1
194.4.a.b
4
4
q
−
8
q
2
−
4
q
3
+
16
q
4
+
9
q
5
+
8
q
6
−
23
q
7
+
O
(
q
8
)
4q - 8q^{2} - 4q^{3} + 16q^{4} + 9q^{5} + 8q^{6} - 23q^{7} + O(q^{8})
4
q
−
8
q
2
−
4
q
3
+
16
q
4
+
9
q
5
+
8
q
6
−
23
q
7
+
O
(
q
8
)
−
1
-1
−
1
194.4.a.c
8
8
q
−
16
q
2
+
2
q
3
+
32
q
4
−
q
5
−
4
q
6
+
19
q
7
+
O
(
q
8
)
8q - 16q^{2} + 2q^{3} + 32q^{4} - q^{5} - 4q^{6} + 19q^{7} + O(q^{8})
8
q
−
16
q
2
+
2
q
3
+
32
q
4
−
q
5
−
4
q
6
+
19
q
7
+
O
(
q
8
)
+
1
+1
+
1
194.4.a.d
9
9
q
+
18
q
2
+
10
q
3
+
36
q
4
+
29
q
5
+
20
q
6
+
19
q
7
+
O
(
q
8
)
9q + 18q^{2} + 10q^{3} + 36q^{4} + 29q^{5} + 20q^{6} + 19q^{7} + O(q^{8})
9
q
+
18
q
2
+
10
q
3
+
36
q
4
+
29
q
5
+
20
q
6
+
19
q
7
+
O
(
q
8
)
+
1
+1
+
1