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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
852.1.d.a	$852$	$1$	852.d	852.d	$2$	$1$	$1$	$0.425$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-71}) \), \(\Q(\sqrt{-213}) \)	\(\Q(\sqrt{3}) \)	✓	$4$	$0$	\(-1\)	\(1\)	\(0\)	\(0\)	$1$		\(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
852.1.d.b	$852$	$1$	852.d	852.d	$2$	$1$	$1$	$0.425$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-71}) \), \(\Q(\sqrt{-213}) \)	\(\Q(\sqrt{3}) \)	✓	$4$	$0$	\(1\)	\(-1\)	\(0\)	\(0\)	$1$		\(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
3408.1.f.a	$3408$	$1$	3408.f	852.d	$2$	$2$	$2$	$1.701$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-213}) \)	None	✓	$4$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)	$1$		\(q-q^{3}-\beta q^{7}+q^{9}-\beta q^{17}+\beta q^{21}+\cdots\)
3408.1.f.b	$3408$	$1$	3408.f	852.d	$2$	$2$	$2$	$1.701$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-213}) \)	None	✓	$4$	$0$	\(0\)	\(2\)	\(0\)	\(0\)	$1$		\(q+q^{3}-\beta q^{7}+q^{9}+\beta q^{17}-\beta q^{21}+\cdots\)