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Results (12 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
749.1.j.a	$749$	$1$	749.j	749.j	$106$	$52$	$1$	$0.374$	\(\Q(\zeta_{106})\)	$D_{53}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(-2\)	\(0\)	\(0\)	\(-1\)	$1$		\(q+(-\zeta_{106}^{25}+\zeta_{106}^{40})q^{2}+(\zeta_{106}^{12}+\cdots)q^{4}+\cdots\)
856.1.l.a	$856$	$1$	856.l	856.l	$106$	$52$	$1$	$0.427$	\(\Q(\zeta_{106})\)	$D_{53}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(-1\)	\(-2\)	\(0\)	\(0\)	$1$		\(q-\zeta_{106}^{9}q^{2}+(\zeta_{106}^{4}-\zeta_{106}^{37})q^{3}+\zeta_{106}^{18}q^{4}+\cdots\)
1605.1.p.a	$1605$	$1$	1605.p	1605.p	$106$	$52$	$1$	$0.801$	\(\Q(\zeta_{106})\)	$D_{53}$	\(\Q(\sqrt{-15}) \)	None		$4$	$0$	\(-2\)	\(-1\)	\(-1\)	\(0\)	$1$		\(q+(-\zeta_{106}^{21}-\zeta_{106}^{31})q^{2}+\zeta_{106}^{18}q^{3}+\cdots\)
1605.1.p.b	$1605$	$1$	1605.p	1605.p	$106$	$52$	$1$	$0.801$	\(\Q(\zeta_{106})\)	$D_{53}$	\(\Q(\sqrt{-15}) \)	None		$4$	$0$	\(2\)	\(1\)	\(1\)	\(0\)	$1$		\(q+(\zeta_{106}^{21}+\zeta_{106}^{31})q^{2}-\zeta_{106}^{18}q^{3}+\cdots\)
2140.1.n.a	$2140$	$1$	2140.n	2140.n	$106$	$52$	$1$	$1.068$	\(\Q(\zeta_{106})\)	$D_{53}$	\(\Q(\sqrt{-5}) \)	None		$4$	$0$	\(-1\)	\(-2\)	\(-1\)	\(-2\)	$1$		\(q-\zeta_{106}^{19}q^{2}+(-\zeta_{106}^{17}+\zeta_{106}^{46}+\cdots)q^{3}+\cdots\)
2140.1.n.b	$2140$	$1$	2140.n	2140.n	$106$	$52$	$1$	$1.068$	\(\Q(\zeta_{106})\)	$D_{53}$	\(\Q(\sqrt{-5}) \)	None		$4$	$0$	\(1\)	\(2\)	\(-1\)	\(2\)	$1$		\(q+\zeta_{106}^{19}q^{2}+(\zeta_{106}^{17}-\zeta_{106}^{46})q^{3}+\cdots\)
2568.1.t.a	$2568$	$1$	2568.t	2568.t	$106$	$52$	$1$	$1.282$	\(\Q(\zeta_{106})\)	$D_{53}$	\(\Q(\sqrt{-6}) \)	None		$4$	$0$	\(-1\)	\(-1\)	\(-2\)	\(-2\)	$1$		\(q+\zeta_{106}^{2}q^{2}+\zeta_{106}^{34}q^{3}+\zeta_{106}^{4}q^{4}+\cdots\)
2568.1.t.b	$2568$	$1$	2568.t	2568.t	$106$	$52$	$1$	$1.282$	\(\Q(\zeta_{106})\)	$D_{53}$	\(\Q(\sqrt{-6}) \)	None		$4$	$0$	\(1\)	\(1\)	\(2\)	\(-2\)	$1$		\(q-\zeta_{106}^{2}q^{2}-\zeta_{106}^{34}q^{3}+\zeta_{106}^{4}q^{4}+\cdots\)
2711.1.b.a	$2711$	$1$	2711.b	2711.b	$2$	$26$	$26$	$1.353$	\(\Q(\zeta_{106})^+\)	$D_{53}$	\(\Q(\sqrt{-2711}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(-1\)	\(0\)	$1$		\(q+(-1+\beta _{1}-\beta _{2}+\beta _{3}-\beta _{4}+\beta _{5}+\cdots)q^{2}+\cdots\)
3167.1.b.a	$3167$	$1$	3167.b	3167.b	$2$	$26$	$26$	$1.581$	\(\Q(\zeta_{106})^+\)	$D_{53}$	\(\Q(\sqrt{-3167}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(0\)	\(-1\)	$1$		\(q+(-1+\beta _{1}-\beta _{2}+\beta _{3}-\beta _{4}+\beta _{5}+\cdots)q^{2}+\cdots\)
3317.1.r.a	$3317$	$1$	3317.r	3317.r	$106$	$52$	$1$	$1.655$	\(\Q(\zeta_{106})\)	$D_{53}$	\(\Q(\sqrt{-31}) \)	None		$4$	$0$	\(-2\)	\(0\)	\(-2\)	\(-2\)	$1$		\(q+(-\zeta_{106}^{7}-\zeta_{106}^{49})q^{2}+(-\zeta_{106}^{3}+\cdots)q^{4}+\cdots\)
3424.1.t.a	$3424$	$1$	3424.t	856.l	$106$	$52$	$1$	$1.709$	\(\Q(\zeta_{106})\)	$D_{53}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(0\)	\(2\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{106}^{3}+\zeta_{106}^{39})q^{3}+(\zeta_{106}^{6}-\zeta_{106}^{25}+\cdots)q^{9}+\cdots\)