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Results (4 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
																		$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
4032.2.k.a	$4032$	$2$	4032.k	21.c	$2$	$4$	$4$	$32.196$	\(\Q(\sqrt{-2}, \sqrt{3})\)	None					252.2.f.a	$4$	$0$	\(0\)	\(0\)	\(0\)	\(-4\)	$2^{2}\cdot 3$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{3}q^{5}+(-1+\beta _{1})q^{7}-\beta _{2}q^{11}+\cdots\)
4032.2.k.b	$4032$	$2$	4032.k	21.c	$2$	$4$	$4$	$32.196$	\(\Q(\sqrt{-2}, \sqrt{7})\)	\(\Q(\sqrt{-7}) \)					63.2.c.a	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2\cdot 3$	$\mathrm{U}(1)[D_{2}]$	\(q-\beta _{2}q^{7}+(-\beta _{1}+\beta _{3})q^{11}+(\beta _{1}+\beta _{3})q^{23}+\cdots\)
4032.2.k.c	$4032$	$2$	4032.k	21.c	$2$	$4$	$4$	$32.196$	\(\Q(\sqrt{-2}, \sqrt{7})\)	\(\Q(\sqrt{-7}) \)					63.2.c.a	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2\cdot 3$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{2}q^{7}+(\beta _{1}-\beta _{3})q^{11}+(-\beta _{1}-\beta _{3})q^{23}+\cdots\)
4032.2.k.d	$4032$	$2$	4032.k	21.c	$2$	$4$	$4$	$32.196$	\(\Q(\sqrt{-2}, \sqrt{3})\)	None					252.2.f.a	$4$	$0$	\(0\)	\(0\)	\(0\)	\(4\)	$2^{2}\cdot 3$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{3}q^{5}+(1-\beta _{1})q^{7}+\beta _{2}q^{11}-2\beta _{1}q^{13}+\cdots\)