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Modular forms
› Level 637
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
Search
14 orbits; showing 1–14 ·
JSON
Label
Dim
Trace form
Sign
CM
Curve
637.2.a.a
1
q
−
2
q
2
+
2
q
4
+
3
q
5
+
O
(
q
8
)
q - 2q^{2} + 2q^{4} + 3q^{5} + O(q^{8})
q
−
2
q
2
+
2
q
4
+
3
q
5
+
O
(
q
8
)
637d1
rank 1
637.2.a.b
1
q
+
2
q
3
−
2
q
4
+
3
q
5
+
O
(
q
8
)
q + 2q^{3} - 2q^{4} + 3q^{5} + O(q^{8})
q
+
2
q
3
−
2
q
4
+
3
q
5
+
O
(
q
8
)
637b1
rank 0
637.2.a.c
1
q
+
q
2
−
q
4
+
O
(
q
8
)
q + q^{2} - q^{4} + O(q^{8})
q
+
q
2
−
q
4
+
O
(
q
8
)
637a1
rank 1
637.2.a.d
1
q
+
q
2
−
q
4
+
O
(
q
8
)
q + q^{2} - q^{4} + O(q^{8})
q
+
q
2
−
q
4
+
O
(
q
8
)
637c1
rank 1
637.2.a.e
2
2
q
−
3
q
2
+
3
q
4
−
5
q
6
+
O
(
q
8
)
2q - 3q^{2} + 3q^{4} - 5q^{6} + O(q^{8})
2
q
−
3
q
2
+
3
q
4
−
5
q
6
+
O
(
q
8
)
637.2.a.f
2
2
q
−
3
q
2
+
3
q
4
+
5
q
6
+
O
(
q
8
)
2q - 3q^{2} + 3q^{4} + 5q^{6} + O(q^{8})
2
q
−
3
q
2
+
3
q
4
+
5
q
6
+
O
(
q
8
)
637.2.a.g
2
2
q
−
6
q
5
+
4
q
6
+
O
(
q
8
)
2q - 6q^{5} + 4q^{6} + O(q^{8})
2
q
−
6
q
5
+
4
q
6
+
O
(
q
8
)
637.2.a.h
3
3
q
−
2
q
2
−
4
q
3
+
6
q
4
−
5
q
5
−
2
q
6
+
O
(
q
8
)
3q - 2q^{2} - 4q^{3} + 6q^{4} - 5q^{5} - 2q^{6} + O(q^{8})
3
q
−
2
q
2
−
4
q
3
+
6
q
4
−
5
q
5
−
2
q
6
+
O
(
q
8
)
637.2.a.i
3
3
q
−
2
q
2
+
4
q
3
+
6
q
4
+
5
q
5
+
2
q
6
+
O
(
q
8
)
3q - 2q^{2} + 4q^{3} + 6q^{4} + 5q^{5} + 2q^{6} + O(q^{8})
3
q
−
2
q
2
+
4
q
3
+
6
q
4
+
5
q
5
+
2
q
6
+
O
(
q
8
)
637.2.a.j
3
3
q
+
q
2
+
2
q
3
+
3
q
4
−
2
q
5
−
4
q
6
+
O
(
q
8
)
3q + q^{2} + 2q^{3} + 3q^{4} - 2q^{5} - 4q^{6} + O(q^{8})
3
q
+
q
2
+
2
q
3
+
3
q
4
−
2
q
5
−
4
q
6
+
O
(
q
8
)
637.2.a.k
5
5
q
+
4
q
2
+
8
q
4
−
2
q
5
+
5
q
6
+
O
(
q
8
)
5q + 4q^{2} + 8q^{4} - 2q^{5} + 5q^{6} + O(q^{8})
5
q
+
4
q
2
+
8
q
4
−
2
q
5
+
5
q
6
+
O
(
q
8
)
637.2.a.l
5
5
q
+
4
q
2
+
8
q
4
+
2
q
5
−
5
q
6
+
O
(
q
8
)
5q + 4q^{2} + 8q^{4} + 2q^{5} - 5q^{6} + O(q^{8})
5
q
+
4
q
2
+
8
q
4
+
2
q
5
−
5
q
6
+
O
(
q
8
)
637.2.a.m
6
6
q
−
8
q
3
+
4
q
4
−
6
q
5
−
4
q
6
+
O
(
q
8
)
6q - 8q^{3} + 4q^{4} - 6q^{5} - 4q^{6} + O(q^{8})
6
q
−
8
q
3
+
4
q
4
−
6
q
5
−
4
q
6
+
O
(
q
8
)
637.2.a.n
6
6
q
+
8
q
3
+
4
q
4
+
6
q
5
+
4
q
6
+
O
(
q
8
)
6q + 8q^{3} + 4q^{4} + 6q^{5} + 4q^{6} + O(q^{8})
6
q
+
8
q
3
+
4
q
4
+
6
q
5
+
4
q
6
+
O
(
q
8
)