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› Level 688
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
688.2.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
)
688a1
rank 1
688.2.a.b
1
q
+
2
q
3
−
4
q
5
+
O
(
q
8
)
q + 2q^{3} - 4q^{5} + O(q^{8})
q
+
2
q
3
−
4
q
5
+
O
(
q
8
)
688c1
rank 1
688.2.a.c
1
q
+
2
q
3
+
4
q
7
+
O
(
q
8
)
q + 2q^{3} + 4q^{7} + O(q^{8})
q
+
2
q
3
+
4
q
7
+
O
(
q
8
)
688b1
rank 0
688.2.a.d
2
2
q
−
4
q
3
+
O
(
q
8
)
2q - 4q^{3} + O(q^{8})
2
q
−
4
q
3
+
O
(
q
8
)
688.2.a.e
2
2
q
−
q
3
−
3
q
5
+
O
(
q
8
)
2q - q^{3} - 3q^{5} + O(q^{8})
2
q
−
q
3
−
3
q
5
+
O
(
q
8
)
688.2.a.f
2
2
q
+
4
q
5
+
4
q
7
+
O
(
q
8
)
2q + 4q^{5} + 4q^{7} + O(q^{8})
2
q
+
4
q
5
+
4
q
7
+
O
(
q
8
)
688.2.a.g
2
2
q
+
q
3
+
3
q
5
−
4
q
7
+
O
(
q
8
)
2q + q^{3} + 3q^{5} - 4q^{7} + O(q^{8})
2
q
+
q
3
+
3
q
5
−
4
q
7
+
O
(
q
8
)
688.2.a.h
2
2
q
+
2
q
3
−
2
q
5
+
2
q
7
+
O
(
q
8
)
2q + 2q^{3} - 2q^{5} + 2q^{7} + O(q^{8})
2
q
+
2
q
3
−
2
q
5
+
2
q
7
+
O
(
q
8
)
688.2.a.i
3
3
q
−
3
q
3
+
q
5
−
6
q
7
+
O
(
q
8
)
3q - 3q^{3} + q^{5} - 6q^{7} + O(q^{8})
3
q
−
3
q
3
+
q
5
−
6
q
7
+
O
(
q
8
)
688.2.a.j
5
5
q
+
q
3
+
q
5
−
2
q
7
+
O
(
q
8
)
5q + q^{3} + q^{5} - 2q^{7} + O(q^{8})
5
q
+
q
3
+
q
5
−
2
q
7
+
O
(
q
8
)