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Results (4 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.p.a	$4032$	$2$	4032.p	56.e	$2$	$4$	$4$	$32.196$	\(\Q(i, \sqrt{6})\)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{3}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{2}q^{7}+(-\beta _{1}-2\beta _{2})q^{11}-4q^{13}+\cdots\)
4032.2.p.b	$4032$	$2$	4032.p	56.e	$2$	$4$	$4$	$32.196$	\(\Q(\zeta_{12})\)	\(\Q(\sqrt{-3}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{6}$	$\mathrm{U}(1)[D_{2}]$	\(q-\zeta_{12}^{2}q^{7}-2q^{13}+(-2\zeta_{12}+2\zeta_{12}^{2}+\cdots)q^{19}+\cdots\)
4032.2.p.c	$4032$	$2$	4032.p	56.e	$2$	$4$	$4$	$32.196$	\(\Q(\zeta_{12})\)	\(\Q(\sqrt{-3}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{6}$	$\mathrm{U}(1)[D_{2}]$	\(q+\zeta_{12}q^{7}+2q^{13}+(2\zeta_{12}-2\zeta_{12}^{2}+\cdots)q^{19}+\cdots\)
4032.2.p.d	$4032$	$2$	4032.p	56.e	$2$	$4$	$4$	$32.196$	\(\Q(i, \sqrt{6})\)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{3}$	$\mathrm{SU}(2)[C_{2}]$	\(q+(\beta _{1}+\beta _{2})q^{7}+(-\beta _{1}-2\beta _{2})q^{11}+\cdots\)