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› Level 475
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
475.2.a.a
1
q
−
q
2
−
q
4
+
2
q
7
+
O
(
q
8
)
q - q^{2} - q^{4} + 2q^{7} + O(q^{8})
q
−
q
2
−
q
4
+
2
q
7
+
O
(
q
8
)
475c1
rank 1
475.2.a.b
1
q
+
2
q
3
−
2
q
4
+
q
7
+
O
(
q
8
)
q + 2q^{3} - 2q^{4} + q^{7} + O(q^{8})
q
+
2
q
3
−
2
q
4
+
q
7
+
O
(
q
8
)
475a1
rank 0
475.2.a.c
1
q
+
q
2
−
q
4
−
2
q
7
+
O
(
q
8
)
q + q^{2} - q^{4} - 2q^{7} + O(q^{8})
q
+
q
2
−
q
4
−
2
q
7
+
O
(
q
8
)
475b1
rank 1
475.2.a.d
3
3
q
−
4
q
2
−
2
q
3
+
4
q
4
+
5
q
6
+
O
(
q
8
)
3q - 4q^{2} - 2q^{3} + 4q^{4} + 5q^{6} + O(q^{8})
3
q
−
4
q
2
−
2
q
3
+
4
q
4
+
5
q
6
+
O
(
q
8
)
475.2.a.e
3
3
q
−
2
q
2
−
2
q
3
+
4
q
4
−
3
q
6
−
4
q
7
+
O
(
q
8
)
3q - 2q^{2} - 2q^{3} + 4q^{4} - 3q^{6} - 4q^{7} + O(q^{8})
3
q
−
2
q
2
−
2
q
3
+
4
q
4
−
3
q
6
−
4
q
7
+
O
(
q
8
)
475.2.a.f
3
3
q
−
q
2
−
2
q
3
+
q
4
−
4
q
6
+
O
(
q
8
)
3q - q^{2} - 2q^{3} + q^{4} - 4q^{6} + O(q^{8})
3
q
−
q
2
−
2
q
3
+
q
4
−
4
q
6
+
O
(
q
8
)
475.2.a.g
3
3
q
+
2
q
2
+
2
q
3
+
4
q
4
−
3
q
6
+
4
q
7
+
O
(
q
8
)
3q + 2q^{2} + 2q^{3} + 4q^{4} - 3q^{6} + 4q^{7} + O(q^{8})
3
q
+
2
q
2
+
2
q
3
+
4
q
4
−
3
q
6
+
4
q
7
+
O
(
q
8
)
475.2.a.h
3
3
q
+
4
q
2
+
2
q
3
+
4
q
4
+
5
q
6
+
O
(
q
8
)
3q + 4q^{2} + 2q^{3} + 4q^{4} + 5q^{6} + O(q^{8})
3
q
+
4
q
2
+
2
q
3
+
4
q
4
+
5
q
6
+
O
(
q
8
)
475.2.a.i
4
4
q
+
2
q
2
−
2
q
3
+
8
q
4
−
4
q
7
+
O
(
q
8
)
4q + 2q^{2} - 2q^{3} + 8q^{4} - 4q^{7} + O(q^{8})
4
q
+
2
q
2
−
2
q
3
+
8
q
4
−
4
q
7
+
O
(
q
8
)
475.2.a.j
6
6
q
+
8
q
4
+
O
(
q
8
)
6q + 8q^{4} + O(q^{8})
6
q
+
8
q
4
+
O
(
q
8
)