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Modular forms
› Level 402
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
402.2.a.a
1
q
−
q
2
−
q
3
+
q
4
+
q
5
+
q
6
−
3
q
7
+
O
(
q
8
)
q - q^{2} - q^{3} + q^{4} + q^{5} + q^{6} - 3q^{7} + O(q^{8})
q
−
q
2
−
q
3
+
q
4
+
q
5
+
q
6
−
3
q
7
+
O
(
q
8
)
−
1
-1
−
1
402a1
rank 1
402.2.a.b
1
q
−
q
2
+
q
3
+
q
4
−
3
q
5
−
q
6
−
q
7
+
O
(
q
8
)
q - q^{2} + q^{3} + q^{4} - 3q^{5} - q^{6} - q^{7} + O(q^{8})
q
−
q
2
+
q
3
+
q
4
−
3
q
5
−
q
6
−
q
7
+
O
(
q
8
)
−
1
-1
−
1
402d1
rank 1
402.2.a.c
1
q
−
q
2
+
q
3
+
q
4
+
2
q
5
−
q
6
+
O
(
q
8
)
q - q^{2} + q^{3} + q^{4} + 2q^{5} - q^{6} + O(q^{8})
q
−
q
2
+
q
3
+
q
4
+
2
q
5
−
q
6
+
O
(
q
8
)
+
1
+1
+
1
402b1
rank 0
402.2.a.d
1
q
+
q
2
−
q
3
+
q
4
+
2
q
5
−
q
6
+
2
q
7
+
O
(
q
8
)
q + q^{2} - q^{3} + q^{4} + 2q^{5} - q^{6} + 2q^{7} + O(q^{8})
q
+
q
2
−
q
3
+
q
4
+
2
q
5
−
q
6
+
2
q
7
+
O
(
q
8
)
+
1
+1
+
1
402c1
rank 0
402.2.a.e
2
2
q
−
2
q
2
−
2
q
3
+
2
q
4
+
2
q
6
+
6
q
7
+
O
(
q
8
)
2q - 2q^{2} - 2q^{3} + 2q^{4} + 2q^{6} + 6q^{7} + O(q^{8})
2
q
−
2
q
2
−
2
q
3
+
2
q
4
+
2
q
6
+
6
q
7
+
O
(
q
8
)
+
1
+1
+
1
402.2.a.f
2
2
q
+
2
q
2
−
2
q
3
+
2
q
4
+
q
5
−
2
q
6
−
q
7
+
O
(
q
8
)
2q + 2q^{2} - 2q^{3} + 2q^{4} + q^{5} - 2q^{6} - q^{7} + O(q^{8})
2
q
+
2
q
2
−
2
q
3
+
2
q
4
+
q
5
−
2
q
6
−
q
7
+
O
(
q
8
)
+
1
+1
+
1
402.2.a.g
3
3
q
+
3
q
2
+
3
q
3
+
3
q
4
+
3
q
5
+
3
q
6
+
q
7
+
O
(
q
8
)
3q + 3q^{2} + 3q^{3} + 3q^{4} + 3q^{5} + 3q^{6} + q^{7} + O(q^{8})
3
q
+
3
q
2
+
3
q
3
+
3
q
4
+
3
q
5
+
3
q
6
+
q
7
+
O
(
q
8
)
+
1
+1
+
1