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Results (4 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3819.1.d.a	$3819$	$1$	3819.d	3819.d	$2$	$1$	$1$	$1.906$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-3819}) \)	\(\Q(\sqrt{1273}) \)	✓	$4$	$0$	\(0\)	\(-1\)	\(0\)	\(0\)	$1$		\(q-q^{3}+q^{4}+q^{9}-q^{12}+2q^{13}+q^{16}+\cdots\)
3819.1.d.b	$3819$	$1$	3819.d	3819.d	$2$	$1$	$1$	$1.906$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-3819}) \)	\(\Q(\sqrt{1273}) \)	✓	$4$	$0$	\(0\)	\(1\)	\(0\)	\(0\)	$1$		\(q+q^{3}+q^{4}+q^{9}+q^{12}-2q^{13}+q^{16}+\cdots\)
3819.1.d.c	$3819$	$1$	3819.d	3819.d	$2$	$2$	$2$	$1.906$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-3819}) \)	None	✓	$4$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)	$1$		\(q-q^{3}+q^{4}-\beta q^{5}+q^{9}+\beta q^{11}-q^{12}+\cdots\)
3819.1.d.d	$3819$	$1$	3819.d	3819.d	$2$	$2$	$2$	$1.906$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-3819}) \)	None	✓	$4$	$0$	\(0\)	\(2\)	\(0\)	\(0\)	$1$		\(q+q^{3}+q^{4}-\beta q^{5}+q^{9}+\beta q^{11}+q^{12}+\cdots\)