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Modular forms
› Level 451
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
Search
5 orbits; showing 1–5 ·
JSON
Label
Dim
Trace form
Sign
CM
Curve
451.2.a.a
1
q
+
q
3
−
2
q
4
−
3
q
5
+
4
q
7
+
O
(
q
8
)
q + q^{3} - 2q^{4} - 3q^{5} + 4q^{7} + O(q^{8})
q
+
q
3
−
2
q
4
−
3
q
5
+
4
q
7
+
O
(
q
8
)
−
1
-1
−
1
451a1
rank 1
451.2.a.b
5
5
q
−
2
q
2
−
4
q
3
+
4
q
4
−
4
q
5
−
3
q
6
−
3
q
7
+
O
(
q
8
)
5q - 2q^{2} - 4q^{3} + 4q^{4} - 4q^{5} - 3q^{6} - 3q^{7} + O(q^{8})
5
q
−
2
q
2
−
4
q
3
+
4
q
4
−
4
q
5
−
3
q
6
−
3
q
7
+
O
(
q
8
)
−
1
-1
−
1
451.2.a.c
5
5
q
−
2
q
2
−
8
q
5
+
3
q
6
−
5
q
7
+
O
(
q
8
)
5q - 2q^{2} - 8q^{5} + 3q^{6} - 5q^{7} + O(q^{8})
5
q
−
2
q
2
−
8
q
5
+
3
q
6
−
5
q
7
+
O
(
q
8
)
−
1
-1
−
1
451.2.a.d
10
10
q
+
4
q
2
+
8
q
4
+
6
q
5
+
5
q
6
+
7
q
7
+
O
(
q
8
)
10q + 4q^{2} + 8q^{4} + 6q^{5} + 5q^{6} + 7q^{7} + O(q^{8})
10
q
+
4
q
2
+
8
q
4
+
6
q
5
+
5
q
6
+
7
q
7
+
O
(
q
8
)
+
1
+1
+
1
451.2.a.e
12
12
q
+
3
q
2
+
q
3
+
17
q
4
+
13
q
5
−
q
6
−
7
q
7
+
O
(
q
8
)
12q + 3q^{2} + q^{3} + 17q^{4} + 13q^{5} - q^{6} - 7q^{7} + O(q^{8})
12
q
+
3
q
2
+
q
3
+
17
q
4
+
13
q
5
−
q
6
−
7
q
7
+
O
(
q
8
)
+
1
+1
+
1