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Results (5 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
723.1.b.a	$723$	$1$	723.b	723.b	$2$	$1$	$1$	$0.361$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-723}) \)	\(\Q(\sqrt{241}) \)	✓	$4$	$0$	\(0\)	\(-1\)	\(0\)	\(0\)	$1$		\(q-q^{3}+q^{4}+q^{9}-q^{12}+q^{16}+q^{25}+\cdots\)
2892.1.b.a	$2892$	$1$	2892.b	723.b	$2$	$1$	$1$	$1.443$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-723}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(0\)	\(0\)	$1$		\(q+q^{3}+q^{9}-q^{11}+2q^{17}-q^{23}+\cdots\)
2892.1.b.b	$2892$	$1$	2892.b	723.b	$2$	$1$	$1$	$1.443$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-723}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(0\)	\(0\)	$1$		\(q+q^{3}+q^{9}+q^{11}-2q^{17}+q^{23}+\cdots\)
2892.1.b.c	$2892$	$1$	2892.b	723.b	$2$	$2$	$2$	$1.443$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-723}) \)	None	✓	$4$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)	$1$		\(q-q^{3}+q^{9}-\beta q^{11}+\beta q^{23}+q^{25}+\cdots\)
2169.2.d.a	$2169$	$2$	2169.d	241.b	$2$	$4$	$4$	$17.320$	4.0.696972.1	$_{}$	\(\Q(\sqrt{-723}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{3}$	$\mathrm{U}(1)[D_{2}]$	\(q-2q^{4}+\beta _{2}q^{11}+4q^{16}+\beta _{1}q^{17}+\cdots\)