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Results (14 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
																				$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
424.1.e.a	$424$	$1$	424.e	424.e	$2$	$1$	$1$	$0.212$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-106}) \)	None	✓	✓			424.1.e.a	$2$	$0$	\(-1\)	\(0\)	\(1\)	\(0\)	$1$		\(q-q^{2}+q^{4}+q^{5}-q^{8}+q^{9}-q^{10}+\cdots\)
424.1.e.b	$424$	$1$	424.e	424.e	$2$	$1$	$1$	$0.212$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-106}) \)	None	✓	✓			424.1.e.a	$2$	$0$	\(1\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+q^{2}+q^{4}-q^{5}+q^{8}+q^{9}-q^{10}+\cdots\)
1696.1.e.a	$1696$	$1$	1696.e	424.e	$2$	$1$	$1$	$0.846$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-106}) \)	None	✓				424.1.e.a	$2$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)	$1$		\(q-q^{5}+q^{9}+q^{11}-q^{17}+q^{23}+q^{31}+\cdots\)
1696.1.e.b	$1696$	$1$	1696.e	424.e	$2$	$1$	$1$	$0.846$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-106}) \)	None	✓				424.1.e.a	$2$	$0$	\(0\)	\(0\)	\(1\)	\(0\)	$1$		\(q+q^{5}+q^{9}+q^{11}-q^{17}-q^{23}-q^{31}+\cdots\)
2120.1.p.a	$2120$	$1$	2120.p	2120.p	$2$	$2$	$2$	$1.058$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-10}) \), \(\Q(\sqrt{-106}) \)	\(\Q(\sqrt{265}) \)		✓			2120.1.p.a	$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-iq^{2}-q^{4}-iq^{5}+iq^{8}-q^{9}-q^{10}+\cdots\)
2120.1.p.f	$2120$	$1$	2120.p	2120.p	$2$	$4$	$4$	$1.058$	\(\Q(\zeta_{12})\)	$D_{6}$	\(\Q(\sqrt{-106}) \)	None		✓	✓		2120.1.p.f	$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{12}^{3}q^{2}-q^{4}-\zeta_{12}q^{5}-\zeta_{12}^{3}q^{8}+\cdots\)
3816.1.l.a	$3816$	$1$	3816.l	424.e	$2$	$1$	$1$	$1.904$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-106}) \)	None	✓				424.1.e.a	$2$	$0$	\(-1\)	\(0\)	\(1\)	\(0\)	$1$		\(q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}+q^{11}+\cdots\)
3816.1.l.b	$3816$	$1$	3816.l	424.e	$2$	$1$	$1$	$1.904$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-159}) \), \(\Q(\sqrt{-106}) \)	\(\Q(\sqrt{6}) \)	✓	✓			3816.1.l.b	$4$	$0$	\(-1\)	\(0\)	\(2\)	\(0\)	$1$		\(q-q^{2}+q^{4}+2q^{5}-q^{8}-2q^{10}+q^{16}+\cdots\)
3816.1.l.c	$3816$	$1$	3816.l	424.e	$2$	$1$	$1$	$1.904$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-159}) \), \(\Q(\sqrt{-106}) \)	\(\Q(\sqrt{6}) \)	✓	✓			3816.1.l.b	$4$	$0$	\(1\)	\(0\)	\(-2\)	\(0\)	$1$		\(q+q^{2}+q^{4}-2q^{5}+q^{8}-2q^{10}+q^{16}+\cdots\)
3816.1.l.d	$3816$	$1$	3816.l	424.e	$2$	$1$	$1$	$1.904$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-106}) \)	None	✓				424.1.e.a	$2$	$0$	\(1\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+q^{2}+q^{4}-q^{5}+q^{8}-q^{10}+q^{11}+\cdots\)
3816.1.l.e	$3816$	$1$	3816.l	424.e	$2$	$2$	$2$	$1.904$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-106}) \)	None	✓	✓			3816.1.l.e	$4$	$0$	\(-2\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-q^{2}+q^{4}-q^{5}-q^{8}+q^{10}-\beta q^{11}+\cdots\)
3816.1.l.f	$3816$	$1$	3816.l	424.e	$2$	$2$	$2$	$1.904$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-106}) \)	None	✓	✓			3816.1.l.e	$4$	$0$	\(2\)	\(0\)	\(2\)	\(0\)	$1$		\(q+q^{2}+q^{4}+q^{5}+q^{8}+q^{10}-\beta q^{11}+\cdots\)
424.3.e.a	$424$	$3$	424.e	424.e	$2$	$3$	$3$	$11.553$	3.3.11448.1	$_{}$	\(\Q(\sqrt{-106}) \)	None	✓	✓			424.3.e.a	$2$	$0$	\(-6\)	\(0\)	\(0\)	\(0\)	$2$	$\mathrm{U}(1)[D_{2}]$	\(q-2q^{2}+4q^{4}-\beta _{1}q^{5}-8q^{8}+9q^{9}+\cdots\)
424.3.e.b	$424$	$3$	424.e	424.e	$2$	$3$	$3$	$11.553$	3.3.11448.1	$_{}$	\(\Q(\sqrt{-106}) \)	None	✓	✓			424.3.e.a	$2$	$0$	\(6\)	\(0\)	\(0\)	\(0\)	$2$	$\mathrm{U}(1)[D_{2}]$	\(q+2q^{2}+4q^{4}+\beta _{1}q^{5}+8q^{8}+9q^{9}+\cdots\)