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Results (5 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
4032.2.b.j	$4032$	$2$	4032.b	28.d	$2$	$4$	$4$	$32.196$	4.0.2312.1	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)	$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q+(-1+\beta _{1}+\beta _{2}+\beta _{3})q^{5}-\beta _{3}q^{7}+\cdots\)
4032.2.b.k	$4032$	$2$	4032.b	28.d	$2$	$4$	$4$	$32.196$	\(\Q(\sqrt{-2}, \sqrt{7})\)	\(\Q(\sqrt{-21}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{2}q^{5}-\beta _{3}q^{7}-\beta _{1}q^{11}-\beta _{2}q^{17}+\cdots\)
4032.2.b.l	$4032$	$2$	4032.b	28.d	$2$	$4$	$4$	$32.196$	\(\Q(\sqrt{-6}, \sqrt{7})\)	\(\Q(\sqrt{-21}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2$	$\mathrm{U}(1)[D_{2}]$	\(q-\beta _{1}q^{5}-\beta _{3}q^{7}-\beta _{2}q^{11}-3\beta _{1}q^{17}+\cdots\)
4032.2.b.m	$4032$	$2$	4032.b	28.d	$2$	$4$	$4$	$32.196$	\(\Q(i, \sqrt{7})\)	\(\Q(\sqrt{-7}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{6}$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{3}q^{7}-\beta _{1}q^{11}+2\beta _{1}q^{23}+5q^{25}+\cdots\)
4032.2.b.n	$4032$	$2$	4032.b	28.d	$2$	$4$	$4$	$32.196$	4.0.2312.1	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(2\)	$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q+(-1+\beta _{1}+\beta _{2}+\beta _{3})q^{5}+\beta _{3}q^{7}+\cdots\)