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Results (1-50 of 1940 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
111.1.h.a	$111$	$1$	111.h	111.h	$6$	$2$	$1$	$0.055$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(-1\)	\(0\)	\(-1\)	$1$		\(q-\zeta_{6}q^{3}+\zeta_{6}q^{4}-\zeta_{6}q^{7}+\zeta_{6}^{2}q^{9}+\cdots\)
155.1.c.b	$155$	$1$	155.c	155.c	$2$	$2$	$2$	$0.077$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-31}) \)	None		$4$	$0$	\(0\)	\(0\)	\(1\)	\(0\)	$1$		\(q+(\zeta_{6}+\zeta_{6}^{2})q^{2}+(-1-\zeta_{6}+\zeta_{6}^{2}+\cdots)q^{4}+\cdots\)
156.1.s.a	$156$	$1$	156.s	39.h	$6$	$2$	$1$	$0.078$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(1\)	\(0\)	\(-3\)	$1$		\(q+\zeta_{6}q^{3}+(-1-\zeta_{6})q^{7}+\zeta_{6}^{2}q^{9}+\cdots\)
171.1.p.a	$171$	$1$	171.p	19.d	$6$	$2$	$1$	$0.085$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(2\)	$1$		\(q-\zeta_{6}q^{4}+q^{7}+(-1+\zeta_{6}^{2})q^{13}+\zeta_{6}^{2}q^{16}+\cdots\)
184.1.e.b	$184$	$1$	184.e	184.e	$2$	$2$	$2$	$0.092$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-23}) \)	None		$4$	$0$	\(1\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{6}^{2}q^{2}+(\zeta_{6}+\zeta_{6}^{2})q^{3}-\zeta_{6}q^{4}+\cdots\)
189.1.m.a	$189$	$1$	189.m	7.d	$6$	$2$	$1$	$0.094$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)	$1$		\(q+\zeta_{6}q^{4}-q^{7}+(-\zeta_{6}-\zeta_{6}^{2})q^{13}+\cdots\)
208.1.y.a	$208$	$1$	208.y	52.i	$6$	$2$	$1$	$0.104$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{6}+\zeta_{6}^{2})q^{5}-\zeta_{6}q^{9}-\zeta_{6}^{2}q^{13}+\cdots\)
219.1.i.a	$219$	$1$	219.i	219.i	$6$	$2$	$1$	$0.109$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)	$1$		\(q-q^{3}+\zeta_{6}^{2}q^{4}+(\zeta_{6}+\zeta_{6}^{2})q^{7}+q^{9}+\cdots\)
220.1.e.a	$220$	$1$	220.e	55.d	$2$	$2$	$2$	$0.110$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-11}) \)	None		$4$	$0$	\(0\)	\(0\)	\(1\)	\(0\)	$1$		\(q+(\zeta_{6}+\zeta_{6}^{2})q^{3}-\zeta_{6}^{2}q^{5}+(-1-\zeta_{6}+\cdots)q^{9}+\cdots\)
248.1.g.c	$248$	$1$	248.g	248.g	$2$	$2$	$2$	$0.124$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-31}) \)	None		$4$	$0$	\(-1\)	\(0\)	\(0\)	\(2\)	$1$		\(q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+(-\zeta_{6}-\zeta_{6}^{2})q^{5}+\cdots\)
252.1.z.a	$252$	$1$	252.z	7.d	$6$	$2$	$1$	$0.126$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(1\)	$1$		\(q-\zeta_{6}^{2}q^{7}+(\zeta_{6}+\zeta_{6}^{2})q^{13}+(-1-\zeta_{6}+\cdots)q^{19}+\cdots\)
259.1.s.a	$259$	$1$	259.s	259.s	$6$	$2$	$1$	$0.129$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(-3\)	\(0\)	\(0\)	\(1\)	$1$		\(q+(-1-\zeta_{6})q^{2}+(1+\zeta_{6}+\zeta_{6}^{2})q^{4}+\cdots\)
260.1.w.a	$260$	$1$	260.w	260.w	$6$	$2$	$1$	$0.130$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(-1\)	\(0\)	\(1\)	\(0\)	$1$		\(q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-\zeta_{6}^{2}q^{5}+q^{8}+\cdots\)
260.1.w.b	$260$	$1$	260.w	260.w	$6$	$2$	$1$	$0.130$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(1\)	\(0\)	\(-1\)	\(0\)	$1$		\(q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-\zeta_{6}q^{5}-q^{8}+\zeta_{6}q^{9}+\cdots\)
273.1.x.a	$273$	$1$	273.x	273.x	$6$	$2$	$1$	$0.136$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(-2\)	\(0\)	\(-1\)	$1$		\(q-q^{3}-\zeta_{6}^{2}q^{4}-\zeta_{6}q^{7}+q^{9}+\zeta_{6}^{2}q^{12}+\cdots\)
273.1.bp.a	$273$	$1$	273.bp	273.ap	$6$	$2$	$1$	$0.136$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(1\)	\(0\)	\(1\)	$1$		\(q-\zeta_{6}^{2}q^{3}-q^{4}-\zeta_{6}^{2}q^{7}-\zeta_{6}q^{9}+\cdots\)
276.1.h.c	$276$	$1$	276.h	276.h	$2$	$2$	$2$	$0.138$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-23}) \)	None		$4$	$0$	\(-1\)	\(1\)	\(0\)	\(0\)	$1$		\(q+\zeta_{6}^{2}q^{2}-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{6}+\cdots\)
276.1.h.d	$276$	$1$	276.h	276.h	$2$	$2$	$2$	$0.138$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-23}) \)	None		$4$	$0$	\(1\)	\(-1\)	\(0\)	\(0\)	$1$		\(q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{3}-\zeta_{6}q^{4}-q^{6}-q^{8}+\cdots\)
279.1.d.c	$279$	$1$	279.d	31.b	$2$	$2$	$2$	$0.139$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-31}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)	$1$		\(q-\beta q^{2}+2q^{4}+\beta q^{5}-q^{7}-\beta q^{8}+\cdots\)
292.1.i.a	$292$	$1$	292.i	292.i	$6$	$2$	$1$	$0.146$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(1\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-q^{8}+q^{9}+(-1+\cdots)q^{13}+\cdots\)
295.1.d.b	$295$	$1$	295.d	295.d	$2$	$2$	$2$	$0.147$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-59}) \)	None		$4$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+(\zeta_{6}+\zeta_{6}^{2})q^{3}-q^{4}-\zeta_{6}q^{5}+(\zeta_{6}+\cdots)q^{7}+\cdots\)
299.1.c.c	$299$	$1$	299.c	299.c	$2$	$2$	$2$	$0.149$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-23}) \)	None		$4$	$0$	\(0\)	\(2\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{6}+\zeta_{6}^{2})q^{2}+q^{3}+(-1-\zeta_{6}+\zeta_{6}^{2}+\cdots)q^{4}+\cdots\)
327.1.d.d	$327$	$1$	327.d	327.d	$2$	$2$	$2$	$0.163$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-327}) \)	None	✓	$4$	$0$	\(0\)	\(-2\)	\(0\)	\(-2\)	$1$		\(q-\beta q^{2}-q^{3}+2q^{4}+\beta q^{6}-q^{7}-\beta q^{8}+\cdots\)
327.1.j.a	$327$	$1$	327.j	327.j	$6$	$2$	$1$	$0.163$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(1\)	\(0\)	\(1\)	$1$		\(q-\zeta_{6}^{2}q^{3}-q^{4}-\zeta_{6}^{2}q^{7}-\zeta_{6}q^{9}+\cdots\)
336.1.z.a	$336$	$1$	336.z	84.j	$6$	$2$	$1$	$0.168$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(-1\)	\(0\)	\(1\)	$1$		\(q-\zeta_{6}q^{3}-\zeta_{6}^{2}q^{7}+\zeta_{6}^{2}q^{9}+(-\zeta_{6}+\cdots)q^{13}+\cdots\)
336.1.z.b	$336$	$1$	336.z	84.j	$6$	$2$	$1$	$0.168$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(1\)	\(0\)	\(-1\)	$1$		\(q+\zeta_{6}q^{3}+\zeta_{6}^{2}q^{7}+\zeta_{6}^{2}q^{9}+(-\zeta_{6}+\cdots)q^{13}+\cdots\)
351.1.d.c	$351$	$1$	351.d	39.d	$2$	$2$	$2$	$0.175$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-39}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\beta q^{2}+2q^{4}+\beta q^{5}-\beta q^{8}-3q^{10}+\cdots\)
351.1.o.a	$351$	$1$	351.o	39.h	$6$	$2$	$1$	$0.175$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{6}q^{4}-q^{13}+\zeta_{6}^{2}q^{16}+(1-\zeta_{6}^{2}+\cdots)q^{19}+\cdots\)
356.1.d.d	$356$	$1$	356.d	356.d	$2$	$2$	$2$	$0.178$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-89}) \)	None	✓	$4$	$0$	\(-2\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-q^{2}-\beta q^{3}+q^{4}-q^{5}+\beta q^{6}-q^{8}+\cdots\)
371.1.i.a	$371$	$1$	371.i	371.i	$6$	$2$	$1$	$0.185$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{53}) \)		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-1\)	$1$		\(q+\zeta_{6}^{2}q^{4}+\zeta_{6}^{2}q^{7}+\zeta_{6}q^{9}+\zeta_{6}^{2}q^{11}+\cdots\)
380.1.g.a	$380$	$1$	380.g	95.d	$2$	$2$	$2$	$0.190$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-19}) \)	None		$4$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+\zeta_{6}^{2}q^{5}+(\zeta_{6}+\zeta_{6}^{2})q^{7}-q^{9}+q^{11}+\cdots\)
380.1.o.a	$380$	$1$	380.o	95.h	$6$	$2$	$1$	$0.190$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{5}) \)		$4$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)	$1$		\(q-\zeta_{6}q^{5}-\zeta_{6}^{2}q^{9}+q^{11}+\zeta_{6}^{2}q^{19}+\cdots\)
385.1.q.c	$385$	$1$	385.q	385.q	$6$	$4$	$2$	$0.192$	\(\Q(\zeta_{12})\)	$D_{6}$	\(\Q(\sqrt{-55}) \)	None		$8$	$0$	\(0\)	\(0\)	\(2\)	\(0\)	$1$		\(q+(-\zeta_{12}^{3}-\zeta_{12}^{5})q^{2}+(-1-\zeta_{12}^{2}+\cdots)q^{4}+\cdots\)
388.1.j.a	$388$	$1$	388.j	388.j	$6$	$2$	$1$	$0.194$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(1\)	\(0\)	\(-3\)	\(0\)	$1$		\(q+\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}+(-1+\zeta_{6}^{2})q^{5}+\cdots\)
399.1.q.a	$399$	$1$	399.q	399.q	$6$	$2$	$1$	$0.199$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(-1\)	\(0\)	\(-1\)	$1$		\(q-\zeta_{6}q^{3}-\zeta_{6}^{2}q^{4}-\zeta_{6}q^{7}+\zeta_{6}^{2}q^{9}+\cdots\)
399.1.q.b	$399$	$1$	399.q	399.q	$6$	$2$	$1$	$0.199$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(1\)	\(0\)	\(-1\)	$1$		\(q+\zeta_{6}q^{3}-\zeta_{6}^{2}q^{4}+\zeta_{6}^{2}q^{7}+\zeta_{6}^{2}q^{9}+\cdots\)
407.1.i.a	$407$	$1$	407.i	407.i	$6$	$2$	$1$	$0.203$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-11}) \)	None		$4$	$0$	\(0\)	\(-1\)	\(0\)	\(0\)	$1$		\(q-\zeta_{6}q^{3}+\zeta_{6}q^{4}+q^{11}-\zeta_{6}^{2}q^{12}+\cdots\)
420.1.be.a	$420$	$1$	420.be	420.ae	$6$	$4$	$2$	$0.210$	\(\Q(\zeta_{12})\)	$D_{6}$	\(\Q(\sqrt{-5}) \)	None		$8$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$1$		\(q+\zeta_{12}q^{2}-\zeta_{12}q^{3}+\zeta_{12}^{2}q^{4}+\zeta_{12}^{4}q^{5}+\cdots\)
420.1.be.b	$420$	$1$	420.be	420.ae	$6$	$4$	$2$	$0.210$	\(\Q(\zeta_{12})\)	$D_{6}$	\(\Q(\sqrt{-5}) \)	None		$8$	$0$	\(0\)	\(0\)	\(2\)	\(0\)	$1$		\(q+\zeta_{12}q^{2}-\zeta_{12}^{3}q^{3}+\zeta_{12}^{2}q^{4}-\zeta_{12}^{4}q^{5}+\cdots\)
432.1.g.a	$432$	$1$	432.g	4.b	$2$	$2$	$2$	$0.216$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2$		\(q+(\zeta_{6}+\zeta_{6}^{2})q^{7}+q^{13}+(-\zeta_{6}-\zeta_{6}^{2}+\cdots)q^{19}+\cdots\)
444.1.h.a	$444$	$1$	444.h	111.d	$2$	$2$	$2$	$0.222$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{37}) \)		$4$	$0$	\(0\)	\(-1\)	\(0\)	\(2\)	$1$		\(q+\zeta_{6}^{2}q^{3}+q^{7}-\zeta_{6}q^{9}+(\zeta_{6}+\zeta_{6}^{2}+\cdots)q^{11}+\cdots\)
455.1.be.a	$455$	$1$	455.be	455.ae	$6$	$4$	$2$	$0.227$	\(\Q(\zeta_{12})\)	$D_{6}$	\(\Q(\sqrt{-35}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{12}+\zeta_{12}^{3})q^{3}-\zeta_{12}^{4}q^{4}+\zeta_{12}^{3}q^{5}+\cdots\)
456.1.s.a	$456$	$1$	456.s	456.s	$6$	$2$	$1$	$0.228$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(-1\)	\(-2\)	\(0\)	\(0\)	$1$		\(q+\zeta_{6}^{2}q^{2}-q^{3}-\zeta_{6}q^{4}-\zeta_{6}^{2}q^{6}+\cdots\)
456.1.s.b	$456$	$1$	456.s	456.s	$6$	$2$	$1$	$0.228$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(1\)	\(-1\)	\(0\)	\(0\)	$1$		\(q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{3}-\zeta_{6}q^{4}-q^{6}-q^{8}+\cdots\)
464.1.h.b	$464$	$1$	464.h	116.d	$2$	$2$	$2$	$0.232$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-29}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-\beta q^{3}-q^{5}+2q^{9}+\beta q^{11}+q^{13}+\cdots\)
468.1.q.a	$468$	$1$	468.q	52.i	$6$	$4$	$2$	$0.234$	\(\Q(\zeta_{12})\)	$D_{6}$	\(\Q(\sqrt{-1}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+\zeta_{12}^{3}q^{5}-\zeta_{12}^{3}q^{8}+\cdots\)
468.1.z.a	$468$	$1$	468.z	117.n	$6$	$2$	$1$	$0.234$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{13}) \)		$4$	$0$	\(0\)	\(1\)	\(0\)	\(0\)	$1$		\(q+\zeta_{6}q^{3}+\zeta_{6}^{2}q^{9}+\zeta_{6}q^{13}+(-\zeta_{6}+\cdots)q^{17}+\cdots\)
476.1.o.c	$476$	$1$	476.o	476.o	$6$	$4$	$2$	$0.238$	\(\Q(\zeta_{12})\)	$D_{6}$	\(\Q(\sqrt{-17}) \)	None		$8$	$0$	\(2\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{12}^{2}q^{2}+(-\zeta_{12}^{3}-\zeta_{12}^{5})q^{3}+\cdots\)
495.1.o.a	$495$	$1$	495.o	495.o	$6$	$2$	$1$	$0.247$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-11}) \)	None		$4$	$0$	\(0\)	\(-1\)	\(1\)	\(0\)	$1$		\(q-\zeta_{6}q^{3}+\zeta_{6}q^{4}-\zeta_{6}^{2}q^{5}+\zeta_{6}^{2}q^{9}+\cdots\)
495.1.o.b	$495$	$1$	495.o	495.o	$6$	$2$	$1$	$0.247$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-11}) \)	None		$4$	$0$	\(0\)	\(1\)	\(-2\)	\(0\)	$1$		\(q+\zeta_{6}q^{3}+\zeta_{6}q^{4}-q^{5}+\zeta_{6}^{2}q^{9}-\zeta_{6}^{2}q^{11}+\cdots\)