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› Level 415
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
415.2.a.a
1
q
+
q
2
+
3
q
3
−
q
4
+
q
5
+
3
q
6
+
q
7
+
O
(
q
8
)
q + q^{2} + 3q^{3} - q^{4} + q^{5} + 3q^{6} + q^{7} + O(q^{8})
q
+
q
2
+
3
q
3
−
q
4
+
q
5
+
3
q
6
+
q
7
+
O
(
q
8
)
+
1
+1
+
1
415a1
rank 0
415.2.a.b
2
2
q
−
q
2
−
q
3
−
q
4
+
2
q
5
−
2
q
6
+
O
(
q
8
)
2q - q^{2} - q^{3} - q^{4} + 2q^{5} - 2q^{6} + O(q^{8})
2
q
−
q
2
−
q
3
−
q
4
+
2
q
5
−
2
q
6
+
O
(
q
8
)
−
1
-1
−
1
415.2.a.c
6
6
q
+
2
q
2
+
3
q
3
+
2
q
4
−
6
q
5
+
4
q
6
+
O
(
q
8
)
6q + 2q^{2} + 3q^{3} + 2q^{4} - 6q^{5} + 4q^{6} + O(q^{8})
6
q
+
2
q
2
+
3
q
3
+
2
q
4
−
6
q
5
+
4
q
6
+
O
(
q
8
)
+
1
+1
+
1
415.2.a.d
7
7
q
−
3
q
2
−
5
q
3
+
7
q
4
−
7
q
5
−
6
q
7
+
O
(
q
8
)
7q - 3q^{2} - 5q^{3} + 7q^{4} - 7q^{5} - 6q^{7} + O(q^{8})
7
q
−
3
q
2
−
5
q
3
+
7
q
4
−
7
q
5
−
6
q
7
+
O
(
q
8
)
−
1
-1
−
1
415.2.a.e
11
11
q
+
18
q
4
+
11
q
5
−
5
q
6
−
3
q
7
+
O
(
q
8
)
11q + 18q^{4} + 11q^{5} - 5q^{6} - 3q^{7} + O(q^{8})
11
q
+
18
q
4
+
11
q
5
−
5
q
6
−
3
q
7
+
O
(
q
8
)
+
1
+1
+
1