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Modular forms
› Level 657
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
Search
10 orbits; showing 1–10 ·
JSON
Label
Dim
Trace form
Sign
CM
Curve
657.2.a.a
1
q
−
q
2
−
q
4
−
2
q
5
+
2
q
7
+
O
(
q
8
)
q - q^{2} - q^{4} - 2q^{5} + 2q^{7} + O(q^{8})
q
−
q
2
−
q
4
−
2
q
5
+
2
q
7
+
O
(
q
8
)
657d1
rank 1
657.2.a.b
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
)
657a1
rank 0
657.2.a.c
1
q
−
2
q
4
+
3
q
5
−
4
q
7
+
O
(
q
8
)
q - 2q^{4} + 3q^{5} - 4q^{7} + O(q^{8})
q
−
2
q
4
+
3
q
5
−
4
q
7
+
O
(
q
8
)
657c1
rank 1
657.2.a.d
1
q
+
2
q
2
+
2
q
4
+
q
5
+
2
q
7
+
O
(
q
8
)
q + 2q^{2} + 2q^{4} + q^{5} + 2q^{7} + O(q^{8})
q
+
2
q
2
+
2
q
4
+
q
5
+
2
q
7
+
O
(
q
8
)
657b1
rank 0
657.2.a.e
2
2
q
−
q
2
+
3
q
4
+
q
5
−
2
q
7
+
O
(
q
8
)
2q - q^{2} + 3q^{4} + q^{5} - 2q^{7} + O(q^{8})
2
q
−
q
2
+
3
q
4
+
q
5
−
2
q
7
+
O
(
q
8
)
657.2.a.f
2
2
q
+
3
q
2
+
3
q
4
+
3
q
5
−
6
q
7
+
O
(
q
8
)
2q + 3q^{2} + 3q^{4} + 3q^{5} - 6q^{7} + O(q^{8})
2
q
+
3
q
2
+
3
q
4
+
3
q
5
−
6
q
7
+
O
(
q
8
)
657.2.a.g
4
4
q
−
q
2
+
5
q
4
−
9
q
5
−
4
q
7
+
O
(
q
8
)
4q - q^{2} + 5q^{4} - 9q^{5} - 4q^{7} + O(q^{8})
4
q
−
q
2
+
5
q
4
−
9
q
5
−
4
q
7
+
O
(
q
8
)
657.2.a.h
4
4
q
−
12
q
7
+
O
(
q
8
)
4q - 12q^{7} + O(q^{8})
4
q
−
12
q
7
+
O
(
q
8
)
657.2.a.i
6
6
q
+
q
2
+
7
q
4
−
5
q
5
+
8
q
7
+
O
(
q
8
)
6q + q^{2} + 7q^{4} - 5q^{5} + 8q^{7} + O(q^{8})
6
q
+
q
2
+
7
q
4
−
5
q
5
+
8
q
7
+
O
(
q
8
)
657.2.a.j
8
8
q
+
12
q
4
+
16
q
7
+
O
(
q
8
)
8q + 12q^{4} + 16q^{7} + O(q^{8})
8
q
+
12
q
4
+
16
q
7
+
O
(
q
8
)