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› Level 52
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
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9 orbits; showing 1–9 ·
JSON
Label
Dim
Trace form
Sign
CM
Curve
52.2.a.a
1
q
+
2
q
5
−
2
q
7
+
O
(
q
8
)
q + 2q^{5} - 2q^{7} + O(q^{8})
q
+
2
q
5
−
2
q
7
+
O
(
q
8
)
52a1
rank 0
52.4.a.a
1
q
−
3
q
3
−
13
q
5
−
11
q
7
+
O
(
q
8
)
q - 3q^{3} - 13q^{5} - 11q^{7} + O(q^{8})
q
−
3
q
3
−
13
q
5
−
11
q
7
+
O
(
q
8
)
52.4.a.b
2
2
q
−
3
q
3
+
23
q
5
+
27
q
7
+
O
(
q
8
)
2q - 3q^{3} + 23q^{5} + 27q^{7} + O(q^{8})
2
q
−
3
q
3
+
23
q
5
+
27
q
7
+
O
(
q
8
)
52.6.a.a
1
q
−
5
q
3
−
3
q
5
+
53
q
7
+
O
(
q
8
)
q - 5q^{3} - 3q^{5} + 53q^{7} + O(q^{8})
q
−
5
q
3
−
3
q
5
+
53
q
7
+
O
(
q
8
)
52.6.a.b
1
q
+
17
q
3
−
91
q
5
−
233
q
7
+
O
(
q
8
)
q + 17q^{3} - 91q^{5} - 233q^{7} + O(q^{8})
q
+
17
q
3
−
91
q
5
−
233
q
7
+
O
(
q
8
)
52.6.a.c
3
3
q
+
12
q
3
+
8
q
5
+
138
q
7
+
O
(
q
8
)
3q + 12q^{3} + 8q^{5} + 138q^{7} + O(q^{8})
3
q
+
12
q
3
+
8
q
5
+
138
q
7
+
O
(
q
8
)
52.8.a.a
1
q
−
28
q
3
−
418
q
5
+
124
q
7
+
O
(
q
8
)
q - 28q^{3} - 418q^{5} + 124q^{7} + O(q^{8})
q
−
28
q
3
−
418
q
5
+
124
q
7
+
O
(
q
8
)
52.8.a.b
3
3
q
+
8
q
5
−
342
q
7
+
O
(
q
8
)
3q + 8q^{5} - 342q^{7} + O(q^{8})
3
q
+
8
q
5
−
342
q
7
+
O
(
q
8
)
52.8.a.c
3
3
q
+
28
q
3
+
520
q
5
−
736
q
7
+
O
(
q
8
)
3q + 28q^{3} + 520q^{5} - 736q^{7} + O(q^{8})
3
q
+
28
q
3
+
520
q
5
−
736
q
7
+
O
(
q
8
)