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Modular forms
› Level 575
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
Search
12 orbits; showing 1–12 ·
JSON
Label
Dim
Trace form
Sign
CM
Curve
575.2.a.a
1
q
−
2
q
2
−
2
q
3
+
2
q
4
+
4
q
6
−
q
7
+
O
(
q
8
)
q - 2q^{2} - 2q^{3} + 2q^{4} + 4q^{6} - q^{7} + O(q^{8})
q
−
2
q
2
−
2
q
3
+
2
q
4
+
4
q
6
−
q
7
+
O
(
q
8
)
575e1
rank 1
575.2.a.b
1
q
−
2
q
2
+
2
q
4
−
q
7
+
O
(
q
8
)
q - 2q^{2} + 2q^{4} - q^{7} + O(q^{8})
q
−
2
q
2
+
2
q
4
−
q
7
+
O
(
q
8
)
575b1
rank 1
575.2.a.c
1
q
−
q
2
−
q
4
+
q
7
+
O
(
q
8
)
q - q^{2} - q^{4} + q^{7} + O(q^{8})
q
−
q
2
−
q
4
+
q
7
+
O
(
q
8
)
575d1
rank 1
575.2.a.d
1
q
+
q
2
−
q
4
−
q
7
+
O
(
q
8
)
q + q^{2} - q^{4} - q^{7} + O(q^{8})
q
+
q
2
−
q
4
−
q
7
+
O
(
q
8
)
575a1
rank 1
575.2.a.e
1
q
+
2
q
2
+
2
q
3
+
2
q
4
+
4
q
6
+
q
7
+
O
(
q
8
)
q + 2q^{2} + 2q^{3} + 2q^{4} + 4q^{6} + q^{7} + O(q^{8})
q
+
2
q
2
+
2
q
3
+
2
q
4
+
4
q
6
+
q
7
+
O
(
q
8
)
575c1
rank 0
575.2.a.f
2
2
q
+
q
2
−
q
4
−
5
q
6
−
2
q
7
+
O
(
q
8
)
2q + q^{2} - q^{4} - 5q^{6} - 2q^{7} + O(q^{8})
2
q
+
q
2
−
q
4
−
5
q
6
−
2
q
7
+
O
(
q
8
)
575.2.a.g
2
2
q
+
3
q
2
+
2
q
3
+
3
q
4
+
3
q
6
+
2
q
7
+
O
(
q
8
)
2q + 3q^{2} + 2q^{3} + 3q^{4} + 3q^{6} + 2q^{7} + O(q^{8})
2
q
+
3
q
2
+
2
q
3
+
3
q
4
+
3
q
6
+
2
q
7
+
O
(
q
8
)
575.2.a.h
4
4
q
−
2
q
2
+
2
q
3
+
4
q
4
−
q
6
+
3
q
7
+
O
(
q
8
)
4q - 2q^{2} + 2q^{3} + 4q^{4} - q^{6} + 3q^{7} + O(q^{8})
4
q
−
2
q
2
+
2
q
3
+
4
q
4
−
q
6
+
3
q
7
+
O
(
q
8
)
575.2.a.i
4
4
q
−
2
q
3
+
2
q
4
−
6
q
6
−
6
q
7
+
O
(
q
8
)
4q - 2q^{3} + 2q^{4} - 6q^{6} - 6q^{7} + O(q^{8})
4
q
−
2
q
3
+
2
q
4
−
6
q
6
−
6
q
7
+
O
(
q
8
)
575.2.a.j
4
4
q
+
2
q
3
+
2
q
4
−
6
q
6
+
6
q
7
+
O
(
q
8
)
4q + 2q^{3} + 2q^{4} - 6q^{6} + 6q^{7} + O(q^{8})
4
q
+
2
q
3
+
2
q
4
−
6
q
6
+
6
q
7
+
O
(
q
8
)
575.2.a.k
7
7
q
−
q
2
+
11
q
4
+
5
q
6
+
3
q
7
+
O
(
q
8
)
7q - q^{2} + 11q^{4} + 5q^{6} + 3q^{7} + O(q^{8})
7
q
−
q
2
+
11
q
4
+
5
q
6
+
3
q
7
+
O
(
q
8
)
575.2.a.l
7
7
q
+
q
2
+
11
q
4
+
5
q
6
−
3
q
7
+
O
(
q
8
)
7q + q^{2} + 11q^{4} + 5q^{6} - 3q^{7} + O(q^{8})
7
q
+
q
2
+
11
q
4
+
5
q
6
−
3
q
7
+
O
(
q
8
)