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Modular forms
› Level 458
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
Search
5 orbits; showing 1–5 ·
JSON
Label
Dim
Trace form
Sign
CM
Curve
458.2.a.a
1
q
−
q
2
−
3
q
3
+
q
4
+
q
5
+
3
q
6
−
2
q
7
+
O
(
q
8
)
q - q^{2} - 3q^{3} + q^{4} + q^{5} + 3q^{6} - 2q^{7} + O(q^{8})
q
−
q
2
−
3
q
3
+
q
4
+
q
5
+
3
q
6
−
2
q
7
+
O
(
q
8
)
−
1
-1
−
1
458a1
rank 1
458.2.a.b
1
q
+
q
2
−
q
3
+
q
4
−
q
5
−
q
6
−
4
q
7
+
O
(
q
8
)
q + q^{2} - q^{3} + q^{4} - q^{5} - q^{6} - 4q^{7} + O(q^{8})
q
+
q
2
−
q
3
+
q
4
−
q
5
−
q
6
−
4
q
7
+
O
(
q
8
)
−
1
-1
−
1
458b1
rank 1
458.2.a.c
2
2
q
−
2
q
2
+
2
q
4
+
q
5
−
3
q
7
+
O
(
q
8
)
2q - 2q^{2} + 2q^{4} + q^{5} - 3q^{7} + O(q^{8})
2
q
−
2
q
2
+
2
q
4
+
q
5
−
3
q
7
+
O
(
q
8
)
−
1
-1
−
1
458.2.a.d
7
7
q
−
7
q
2
+
4
q
3
+
7
q
4
+
q
5
−
4
q
6
+
7
q
7
+
O
(
q
8
)
7q - 7q^{2} + 4q^{3} + 7q^{4} + q^{5} - 4q^{6} + 7q^{7} + O(q^{8})
7
q
−
7
q
2
+
4
q
3
+
7
q
4
+
q
5
−
4
q
6
+
7
q
7
+
O
(
q
8
)
+
1
+1
+
1
458.2.a.e
9
9
q
+
9
q
2
+
2
q
3
+
9
q
4
+
4
q
5
+
2
q
6
+
6
q
7
+
O
(
q
8
)
9q + 9q^{2} + 2q^{3} + 9q^{4} + 4q^{5} + 2q^{6} + 6q^{7} + O(q^{8})
9
q
+
9
q
2
+
2
q
3
+
9
q
4
+
4
q
5
+
2
q
6
+
6
q
7
+
O
(
q
8
)
+
1
+1
+
1