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Level	Weight	Analytic conductor	$Nk^2$	Dim.

Bad $p$	Char.	Primitive character	Character order	Coefficient field

Self-twists	CM/RM discriminant	Inner twist count	Is self-dual	Analytic rank

Coefficient ring index	Coefficient ring gens.		Projective image	Projective image type
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Results (1-50 of 83 matches)

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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
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Coefficient ring index	Sato-Tate	$q$-expansion
943.1.n.b	$943$	$1$	943.n	943.n	$20$	$16$	$2$	$0.471$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-23}) $	None		$4$	$0$	$0$	$-2$	$0$	$0$	$1$		$q+(-\zeta_{60}^{5}+\zeta_{60}^{19})q^{2}+(\zeta_{60}+\zeta_{60}^{14}+\cdots)q^{3}+\cdots$
964.1.bh.a	$964$	$1$	964.bh	964.ah	$60$	$16$	$1$	$0.481$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{60}^{5}q^{2}+\zeta_{60}^{10}q^{4}+(-\zeta_{60}+\zeta_{60}^{23}+\cdots)q^{5}+\cdots$
1209.1.ec.a	$1209$	$1$	1209.ec	1209.dc	$60$	$16$	$1$	$0.603$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$4$	$1$		$q-\zeta_{60}^{9}q^{3}-\zeta_{60}^{7}q^{4}+(\zeta_{60}^{6}+\zeta_{60}^{13}+\cdots)q^{7}+\cdots$
1209.1.ej.a	$1209$	$1$	1209.ej	1209.dj	$60$	$16$	$1$	$0.603$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$-2$	$1$		$q+\zeta_{60}^{13}q^{3}-\zeta_{60}^{19}q^{4}+(-\zeta_{60}^{16}+\cdots)q^{7}+\cdots$
1220.1.cs.a	$1220$	$1$	1220.cs	1220.bs	$60$	$16$	$1$	$0.609$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$-2$	$0$	$-4$	$0$	$1$		$q+\zeta_{60}^{22}q^{2}-\zeta_{60}^{14}q^{4}-\zeta_{60}^{18}q^{5}+\cdots$
1220.1.cz.a	$1220$	$1$	1220.cz	1220.bz	$60$	$16$	$1$	$0.609$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$8$	$0$	$1$		$q+\zeta_{60}^{17}q^{2}-\zeta_{60}^{4}q^{4}+\zeta_{60}^{10}q^{5}+\cdots$
1271.1.bw.b	$1271$	$1$	1271.bw	1271.aw	$20$	$16$	$2$	$0.634$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-31}) $	None		$4$	$0$	$0$	$0$	$0$	$-8$	$1$		$q+(-\zeta_{60}^{13}-\zeta_{60}^{29})q^{2}+(-\zeta_{60}^{12}+\cdots)q^{4}+\cdots$
1281.1.ed.a	$1281$	$1$	1281.ed	1281.dd	$60$	$16$	$1$	$0.639$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$-2$	$0$	$0$	$1$		$q-\zeta_{60}^{28}q^{3}-\zeta_{60}^{11}q^{4}-\zeta_{60}^{25}q^{7}+\cdots$
1281.1.ep.a	$1281$	$1$	1281.ep	1281.dp	$60$	$16$	$1$	$0.639$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$2$	$0$	$4$	$1$		$q+\zeta_{60}^{8}q^{3}-\zeta_{60}^{21}q^{4}-\zeta_{60}^{24}q^{7}+\cdots$
1300.1.ct.a	$1300$	$1$	1300.ct	1300.bt	$60$	$16$	$1$	$0.649$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$-2$	$0$	$0$	$0$	$1$		$q-\zeta_{60}^{8}q^{2}+\zeta_{60}^{16}q^{4}-\zeta_{60}^{29}q^{5}+\cdots$
1300.1.cy.a	$1300$	$1$	1300.cy	1300.by	$60$	$16$	$1$	$0.649$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$2$	$0$	$1$		$q-\zeta_{60}^{23}q^{2}-\zeta_{60}^{16}q^{4}+\zeta_{60}^{4}q^{5}+\cdots$
1629.1.cv.a	$1629$	$1$	1629.cv	181.p	$60$	$16$	$1$	$0.813$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$-4$	$1$		$q-\zeta_{60}^{19}q^{4}+(-\zeta_{60}^{6}+\zeta_{60}^{9})q^{7}+\cdots$
1647.1.cw.a	$1647$	$1$	1647.cw	61.l	$60$	$16$	$1$	$0.822$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$-4$	$1$		$q+\zeta_{60}^{7}q^{4}+(-\zeta_{60}^{18}+\zeta_{60}^{25})q^{7}+\cdots$
1705.1.ft.a	$1705$	$1$	1705.ft	1705.et	$60$	$16$	$1$	$0.851$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-11}) $	None		$4$	$0$	$0$	$-2$	$0$	$0$	$1$		$q+(\zeta_{60}^{23}+\zeta_{60}^{26})q^{3}+\zeta_{60}^{21}q^{4}+\cdots$
1705.1.ft.b	$1705$	$1$	1705.ft	1705.et	$60$	$16$	$1$	$0.851$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-11}) $	None		$4$	$0$	$0$	$2$	$0$	$0$	$1$		$q+(\zeta_{60}^{8}-\zeta_{60}^{11})q^{3}+\zeta_{60}^{21}q^{4}+\cdots$
1928.1.cm.a	$1928$	$1$	1928.cm	1928.bm	$60$	$16$	$1$	$0.962$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{60}^{25}q^{2}+(\zeta_{60}^{17}+\zeta_{60}^{29})q^{3}+\cdots$
1952.1.dy.a	$1952$	$1$	1952.dy	61.l	$60$	$16$	$1$	$0.974$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{60}^{5}-\zeta_{60}^{27})q^{5}-\zeta_{60}^{6}q^{9}+(\zeta_{60}^{4}+\cdots)q^{13}+\cdots$
2132.1.dq.a	$2132$	$1$	2132.dq	2132.cq	$60$	$16$	$1$	$1.064$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$-2$	$0$	$0$	$0$	$1$		$q-\zeta_{60}^{8}q^{2}+\zeta_{60}^{16}q^{4}+(-\zeta_{60}^{19}+\cdots)q^{5}+\cdots$
2132.1.dq.b	$2132$	$1$	2132.dq	2132.cq	$60$	$16$	$1$	$1.064$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$2$	$0$	$0$	$0$	$1$		$q+\zeta_{60}^{8}q^{2}+\zeta_{60}^{16}q^{4}+(\zeta_{60}^{13}-\zeta_{60}^{29}+\cdots)q^{5}+\cdots$
2196.1.ee.a	$2196$	$1$	2196.ee	61.l	$60$	$16$	$1$	$1.096$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$2$	$1$		$q+(\zeta_{60}^{16}+\zeta_{60}^{25})q^{7}+(-\zeta_{60}^{23}+\cdots)q^{13}+\cdots$
2196.1.el.a	$2196$	$1$	2196.el	732.av	$60$	$32$	$2$	$1.096$	$\Q(\zeta_{120})$	$D_{60}$	$\Q(\sqrt{-1}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{120}^{43}q^{2}-\zeta_{120}^{26}q^{4}+(\zeta_{120}^{5}+\zeta_{120}^{27}+\cdots)q^{5}+\cdots$
2379.1.fx.a	$2379$	$1$	2379.fx	2379.ex	$60$	$16$	$1$	$1.187$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{60}^{17}q^{3}-\zeta_{60}^{24}q^{4}+(-\zeta_{60}+\cdots)q^{7}+\cdots$
2379.1.gd.a	$2379$	$1$	2379.gd	2379.fd	$60$	$16$	$1$	$1.187$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$-10$	$1$		$q-\zeta_{60}^{19}q^{3}+\zeta_{60}^{28}q^{4}+(\zeta_{60}^{2}-\zeta_{60}^{10}+\cdots)q^{7}+\cdots$
2379.1.hk.a	$2379$	$1$	2379.hk	2379.gk	$60$	$16$	$1$	$1.187$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$6$	$1$		$q+\zeta_{60}^{29}q^{3}-\zeta_{60}^{8}q^{4}+(-\zeta_{60}^{20}+\cdots)q^{7}+\cdots$
2379.1.hq.a	$2379$	$1$	2379.hq	2379.gq	$60$	$16$	$1$	$1.187$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{60}^{23}q^{3}-\zeta_{60}^{6}q^{4}+(\zeta_{60}^{15}+\zeta_{60}^{19}+\cdots)q^{7}+\cdots$
2419.1.m.b	$2419$	$1$	2419.m	2419.m	$20$	$16$	$2$	$1.207$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-59}) $	None		$4$	$0$	$0$	$-2$	$0$	$2$	$1$		$q+(-\zeta_{60}^{7}-\zeta_{60}^{8})q^{3}+\zeta_{60}^{6}q^{4}+\cdots$
2475.1.fy.a	$2475$	$1$	2475.fy	2475.ey	$60$	$16$	$1$	$1.235$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-11}) $	None		$4$	$0$	$0$	$-2$	$0$	$0$	$1$		$q-\zeta_{60}^{8}q^{3}-\zeta_{60}^{17}q^{4}-\zeta_{60}^{25}q^{5}+\cdots$
2475.1.fy.b	$2475$	$1$	2475.fy	2475.ey	$60$	$16$	$1$	$1.235$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-11}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{60}^{11}q^{3}-\zeta_{60}^{17}q^{4}-\zeta_{60}^{15}q^{5}+\cdots$
2745.1.gs.a	$2745$	$1$	2745.gs	305.aj	$60$	$16$	$1$	$1.370$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-15}) $	None		$4$	$0$	$-2$	$0$	$2$	$0$	$1$		$q+(\zeta_{60}^{2}-\zeta_{60}^{11})q^{2}+(\zeta_{60}^{4}-\zeta_{60}^{13}+\cdots)q^{4}+\cdots$
2745.1.gs.b	$2745$	$1$	2745.gs	305.aj	$60$	$16$	$1$	$1.370$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-15}) $	None		$4$	$0$	$2$	$0$	$-2$	$0$	$1$		$q+(-\zeta_{60}^{2}+\zeta_{60}^{11})q^{2}+(\zeta_{60}^{4}-\zeta_{60}^{13}+\cdots)q^{4}+\cdots$
2849.1.ga.a	$2849$	$1$	2849.ga	2849.fa	$60$	$16$	$1$	$1.422$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$-2$	$0$	$0$	$0$	$1$		$q+(-\zeta_{60}^{21}-\zeta_{60}^{28})q^{2}+(-\zeta_{60}^{12}+\cdots)q^{4}+\cdots$
2849.1.ga.b	$2849$	$1$	2849.ga	2849.fa	$60$	$16$	$1$	$1.422$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$2$	$0$	$0$	$0$	$1$		$q+(-\zeta_{60}^{3}+\zeta_{60}^{16})q^{2}+(-\zeta_{60}^{2}+\cdots)q^{4}+\cdots$
2892.1.cm.a	$2892$	$1$	2892.cm	723.ag	$60$	$16$	$1$	$1.443$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$-2$	$1$		$q+\zeta_{60}^{17}q^{3}+(-\zeta_{60}^{8}+\zeta_{60}^{9})q^{7}+\cdots$
2928.1.gb.a	$2928$	$1$	2928.gb	732.av	$60$	$16$	$1$	$1.461$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$-4$	$0$	$2$	$1$		$q+\zeta_{60}^{12}q^{3}+(-\zeta_{60}^{5}-\zeta_{60}^{26})q^{7}+\cdots$
2928.1.gb.b	$2928$	$1$	2928.gb	732.av	$60$	$16$	$1$	$1.461$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$4$	$0$	$-2$	$1$		$q-\zeta_{60}^{12}q^{3}+(\zeta_{60}^{5}+\zeta_{60}^{26})q^{7}+\cdots$
2952.1.em.a	$2952$	$1$	2952.em	2952.dm	$60$	$16$	$1$	$1.473$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{60}^{17}q^{2}-\zeta_{60}^{23}q^{3}-\zeta_{60}^{4}q^{4}+\cdots$
2952.1.em.b	$2952$	$1$	2952.em	2952.dm	$60$	$16$	$1$	$1.473$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$2$	$0$	$0$	$1$		$q+\zeta_{60}^{17}q^{2}-\zeta_{60}^{2}q^{3}-\zeta_{60}^{4}q^{4}+\cdots$
3100.1.df.c	$3100$	$1$	3100.df	3100.cf	$20$	$16$	$2$	$1.547$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-31}) $	None		$4$	$0$	$-2$	$0$	$0$	$2$	$1$		$q+\zeta_{60}^{2}q^{2}+\zeta_{60}^{4}q^{4}-\zeta_{60}^{19}q^{5}+\cdots$
3100.1.df.d	$3100$	$1$	3100.df	3100.cf	$20$	$16$	$2$	$1.547$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-31}) $	None		$4$	$0$	$0$	$0$	$0$	$-2$	$1$		$q-\zeta_{60}^{5}q^{2}+\zeta_{60}^{10}q^{4}+\zeta_{60}^{29}q^{5}+\cdots$
3172.1.fx.a	$3172$	$1$	3172.fx	3172.ex	$60$	$16$	$1$	$1.583$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$-4$	$0$	$1$		$q+\zeta_{60}^{19}q^{2}-\zeta_{60}^{8}q^{4}+(\zeta_{60}^{5}-\zeta_{60}^{6}+\cdots)q^{5}+\cdots$
3172.1.ga.a	$3172$	$1$	3172.ga	3172.fa	$60$	$16$	$1$	$1.583$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$2$	$0$	$8$	$0$	$1$		$q-\zeta_{60}^{14}q^{2}+\zeta_{60}^{28}q^{4}+(\zeta_{60}^{10}+\cdots)q^{5}+\cdots$
3172.1.gx.a	$3172$	$1$	3172.gx	3172.fx	$60$	$16$	$1$	$1.583$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$2$	$0$	$8$	$0$	$1$		$q-\zeta_{60}^{14}q^{2}+\zeta_{60}^{28}q^{4}+(-\zeta_{60}+\cdots)q^{5}+\cdots$
3172.1.gy.a	$3172$	$1$	3172.gy	3172.fy	$60$	$16$	$1$	$1.583$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$2$	$0$	$1$		$q+\zeta_{60}^{13}q^{2}+\zeta_{60}^{26}q^{4}+(-\zeta_{60}^{2}+\cdots)q^{5}+\cdots$
3172.1.gz.a	$3172$	$1$	3172.gz	3172.fz	$60$	$16$	$1$	$1.583$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$2$	$0$	$1$		$q-\zeta_{60}^{9}q^{2}+\zeta_{60}^{18}q^{4}+(\zeta_{60}^{16}+\zeta_{60}^{25}+\cdots)q^{5}+\cdots$
3172.1.hg.a	$3172$	$1$	3172.hg	3172.gg	$60$	$16$	$1$	$1.583$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$-4$	$0$	$-16$	$0$	$1$		$q-\zeta_{60}^{6}q^{2}+\zeta_{60}^{12}q^{4}+(-1-\zeta_{60}^{29}+\cdots)q^{5}+\cdots$
3172.1.hh.a	$3172$	$1$	3172.hh	3172.gh	$60$	$16$	$1$	$1.583$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$2$	$0$	$8$	$0$	$1$		$q-\zeta_{60}^{22}q^{2}-\zeta_{60}^{14}q^{4}+(-\zeta_{60}^{13}+\cdots)q^{5}+\cdots$
3172.1.hi.a	$3172$	$1$	3172.hi	3172.gi	$60$	$16$	$1$	$1.583$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$2$	$0$	$1$		$q+\zeta_{60}^{11}q^{2}+\zeta_{60}^{22}q^{4}+(-\zeta_{60}^{14}+\cdots)q^{5}+\cdots$
3300.1.ff.a	$3300$	$1$	3300.ff	825.bo	$20$	$16$	$2$	$1.647$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-11}) $	None		$4$	$0$	$0$	$-2$	$0$	$0$	$1$		$q+\zeta_{60}^{26}q^{3}-\zeta_{60}^{5}q^{5}-\zeta_{60}^{22}q^{9}+\cdots$
3300.1.ff.b	$3300$	$1$	3300.ff	825.bo	$20$	$16$	$2$	$1.647$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-11}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{60}^{17}q^{3}-\zeta_{60}^{25}q^{5}-\zeta_{60}^{4}q^{9}+\cdots$
3325.1.fx.a	$3325$	$1$	3325.fx	3325.ex	$60$	$16$	$1$	$1.659$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-19}) $	None		$4$	$0$	$0$	$0$	$2$	$0$	$1$		$q-\zeta_{60}^{23}q^{4}-\zeta_{60}^{26}q^{5}-\zeta_{60}q^{7}+\cdots$

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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.