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Modular forms
› Level 414
Search newform orbits
Weight
Level
Dimension
CM
any
yes
no
Sign
any
+1
−1
Curve rank
Search
7 orbits; showing 1–7 ·
JSON
Label
Dim
Trace form
Sign
CM
Curve
414.2.a.a
1
q
−
q
2
+
q
4
−
2
q
5
+
O
(
q
8
)
q - q^{2} + q^{4} - 2q^{5} + O(q^{8})
q
−
q
2
+
q
4
−
2
q
5
+
O
(
q
8
)
414c1
rank 1
414.2.a.b
1
q
+
q
2
+
q
4
−
4
q
5
−
4
q
7
+
O
(
q
8
)
q + q^{2} + q^{4} - 4q^{5} - 4q^{7} + O(q^{8})
q
+
q
2
+
q
4
−
4
q
5
−
4
q
7
+
O
(
q
8
)
414d1
rank 1
414.2.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
)
414a1
rank 0
414.2.a.d
1
q
+
q
2
+
q
4
+
2
q
5
−
2
q
7
+
O
(
q
8
)
q + q^{2} + q^{4} + 2q^{5} - 2q^{7} + O(q^{8})
q
+
q
2
+
q
4
+
2
q
5
−
2
q
7
+
O
(
q
8
)
414b1
rank 0
414.2.a.e
2
2
q
−
2
q
2
+
2
q
4
−
2
q
5
+
4
q
7
+
O
(
q
8
)
2q - 2q^{2} + 2q^{4} - 2q^{5} + 4q^{7} + O(q^{8})
2
q
−
2
q
2
+
2
q
4
−
2
q
5
+
4
q
7
+
O
(
q
8
)
414.2.a.f
2
2
q
−
2
q
2
+
2
q
4
+
2
q
5
+
O
(
q
8
)
2q - 2q^{2} + 2q^{4} + 2q^{5} + O(q^{8})
2
q
−
2
q
2
+
2
q
4
+
2
q
5
+
O
(
q
8
)
414.2.a.g
2
2
q
+
2
q
2
+
2
q
4
+
2
q
5
+
4
q
7
+
O
(
q
8
)
2q + 2q^{2} + 2q^{4} + 2q^{5} + 4q^{7} + O(q^{8})
2
q
+
2
q
2
+
2
q
4
+
2
q
5
+
4
q
7
+
O
(
q
8
)