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Modular forms
› Level 513
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
Search
9 orbits; showing 1–9 ·
JSON
Label
Dim
Trace form
Sign
CM
Curve
513.2.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
)
513b1
rank 1
513.2.a.b
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
)
513a1
rank 1
513.2.a.c
2
2
q
+
2
q
4
−
8
q
7
+
O
(
q
8
)
2q + 2q^{4} - 8q^{7} + O(q^{8})
2
q
+
2
q
4
−
8
q
7
+
O
(
q
8
)
513.2.a.d
3
3
q
−
3
q
2
+
3
q
4
−
3
q
5
−
3
q
7
+
O
(
q
8
)
3q - 3q^{2} + 3q^{4} - 3q^{5} - 3q^{7} + O(q^{8})
3
q
−
3
q
2
+
3
q
4
−
3
q
5
−
3
q
7
+
O
(
q
8
)
513.2.a.e
3
3
q
−
q
2
+
3
q
4
−
5
q
5
+
q
7
+
O
(
q
8
)
3q - q^{2} + 3q^{4} - 5q^{5} + q^{7} + O(q^{8})
3
q
−
q
2
+
3
q
4
−
5
q
5
+
q
7
+
O
(
q
8
)
513.2.a.f
3
3
q
+
q
2
+
3
q
4
+
5
q
5
+
q
7
+
O
(
q
8
)
3q + q^{2} + 3q^{4} + 5q^{5} + q^{7} + O(q^{8})
3
q
+
q
2
+
3
q
4
+
5
q
5
+
q
7
+
O
(
q
8
)
513.2.a.g
3
3
q
+
3
q
2
+
3
q
4
+
3
q
5
−
3
q
7
+
O
(
q
8
)
3q + 3q^{2} + 3q^{4} + 3q^{5} - 3q^{7} + O(q^{8})
3
q
+
3
q
2
+
3
q
4
+
3
q
5
−
3
q
7
+
O
(
q
8
)
513.2.a.h
4
4
q
+
4
q
4
+
8
q
7
+
O
(
q
8
)
4q + 4q^{4} + 8q^{7} + O(q^{8})
4
q
+
4
q
4
+
8
q
7
+
O
(
q
8
)
513.2.a.i
4
4
q
+
8
q
4
+
12
q
7
+
O
(
q
8
)
4q + 8q^{4} + 12q^{7} + O(q^{8})
4
q
+
8
q
4
+
12
q
7
+
O
(
q
8
)