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Modular forms
› Level 198
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
Search
15 orbits; showing 1–15 ·
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Label
Dim
Trace form
Sign
CM
Curve
198.2.a.a
1
q
−
q
2
+
q
4
−
2
q
5
−
4
q
7
+
O
(
q
8
)
q - q^{2} + q^{4} - 2q^{5} - 4q^{7} + O(q^{8})
q
−
q
2
+
q
4
−
2
q
5
−
4
q
7
+
O
(
q
8
)
198a1
rank 1
198.2.a.b
1
q
−
q
2
+
q
4
+
2
q
7
+
O
(
q
8
)
q - q^{2} + q^{4} + 2q^{7} + O(q^{8})
q
−
q
2
+
q
4
+
2
q
7
+
O
(
q
8
)
198d1
rank 0
198.2.a.c
1
q
−
q
2
+
q
4
+
4
q
5
−
2
q
7
+
O
(
q
8
)
q - q^{2} + q^{4} + 4q^{5} - 2q^{7} + O(q^{8})
q
−
q
2
+
q
4
+
4
q
5
−
2
q
7
+
O
(
q
8
)
198e1
rank 0
198.2.a.d
1
q
+
q
2
+
q
4
+
2
q
7
+
O
(
q
8
)
q + q^{2} + q^{4} + 2q^{7} + O(q^{8})
q
+
q
2
+
q
4
+
2
q
7
+
O
(
q
8
)
198c1
rank 0
198.2.a.e
1
q
+
q
2
+
q
4
+
2
q
7
+
O
(
q
8
)
q + q^{2} + q^{4} + 2q^{7} + O(q^{8})
q
+
q
2
+
q
4
+
2
q
7
+
O
(
q
8
)
198b1
rank 0
198.4.a.a
1
q
−
2
q
2
+
4
q
4
−
10
q
5
+
16
q
7
+
O
(
q
8
)
q - 2q^{2} + 4q^{4} - 10q^{5} + 16q^{7} + O(q^{8})
q
−
2
q
2
+
4
q
4
−
10
q
5
+
16
q
7
+
O
(
q
8
)
198.4.a.b
1
q
−
2
q
2
+
4
q
4
+
3
q
5
−
10
q
7
+
O
(
q
8
)
q - 2q^{2} + 4q^{4} + 3q^{5} - 10q^{7} + O(q^{8})
q
−
2
q
2
+
4
q
4
+
3
q
5
−
10
q
7
+
O
(
q
8
)
198.4.a.c
1
q
−
2
q
2
+
4
q
4
+
8
q
5
−
22
q
7
+
O
(
q
8
)
q - 2q^{2} + 4q^{4} + 8q^{5} - 22q^{7} + O(q^{8})
q
−
2
q
2
+
4
q
4
+
8
q
5
−
22
q
7
+
O
(
q
8
)
198.4.a.d
1
q
+
2
q
2
+
4
q
4
−
14
q
5
−
8
q
7
+
O
(
q
8
)
q + 2q^{2} + 4q^{4} - 14q^{5} - 8q^{7} + O(q^{8})
q
+
2
q
2
+
4
q
4
−
14
q
5
−
8
q
7
+
O
(
q
8
)
198.4.a.e
1
q
+
2
q
2
+
4
q
4
−
8
q
5
−
22
q
7
+
O
(
q
8
)
q + 2q^{2} + 4q^{4} - 8q^{5} - 22q^{7} + O(q^{8})
q
+
2
q
2
+
4
q
4
−
8
q
5
−
22
q
7
+
O
(
q
8
)
198.4.a.f
1
q
+
2
q
2
+
4
q
4
+
14
q
7
+
O
(
q
8
)
q + 2q^{2} + 4q^{4} + 14q^{7} + O(q^{8})
q
+
2
q
2
+
4
q
4
+
14
q
7
+
O
(
q
8
)
198.4.a.g
1
q
+
2
q
2
+
4
q
4
+
19
q
5
+
14
q
7
+
O
(
q
8
)
q + 2q^{2} + 4q^{4} + 19q^{5} + 14q^{7} + O(q^{8})
q
+
2
q
2
+
4
q
4
+
19
q
5
+
14
q
7
+
O
(
q
8
)
198.4.a.h
2
2
q
−
4
q
2
+
8
q
4
−
10
q
5
−
2
q
7
+
O
(
q
8
)
2q - 4q^{2} + 8q^{4} - 10q^{5} - 2q^{7} + O(q^{8})
2
q
−
4
q
2
+
8
q
4
−
10
q
5
−
2
q
7
+
O
(
q
8
)
198.4.a.i
2
2
q
−
4
q
2
+
8
q
4
+
8
q
5
+
36
q
7
+
O
(
q
8
)
2q - 4q^{2} + 8q^{4} + 8q^{5} + 36q^{7} + O(q^{8})
2
q
−
4
q
2
+
8
q
4
+
8
q
5
+
36
q
7
+
O
(
q
8
)
198.4.a.j
2
2
q
+
4
q
2
+
8
q
4
−
8
q
5
+
36
q
7
+
O
(
q
8
)
2q + 4q^{2} + 8q^{4} - 8q^{5} + 36q^{7} + O(q^{8})
2
q
+
4
q
2
+
8
q
4
−
8
q
5
+
36
q
7
+
O
(
q
8
)