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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 59 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
772.1.u.a	$772$	$1$	772.u	772.u	$48$	$16$	$1$	$0.385$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{48}^{19}q^{2}-\zeta_{48}^{14}q^{4}+(-\zeta_{48}^{13}+\cdots)q^{5}+\cdots$
776.1.bp.a	$776$	$1$	776.bp	776.ap	$48$	$16$	$1$	$0.387$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$8$	$0$	$0$	$1$		$q-\zeta_{48}^{19}q^{2}+(\zeta_{48}^{8}-\zeta_{48}^{18})q^{3}+\cdots$
884.1.cn.a	$884$	$1$	884.cn	884.bn	$48$	$16$	$1$	$0.441$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{48}^{17}q^{2}-\zeta_{48}^{10}q^{4}+(-\zeta_{48}^{11}+\cdots)q^{5}+\cdots$
884.1.ct.a	$884$	$1$	884.ct	884.bt	$48$	$16$	$1$	$0.441$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{48}^{17}q^{2}-\zeta_{48}^{10}q^{4}+(\zeta_{48}^{2}-\zeta_{48}^{19}+\cdots)q^{5}+\cdots$
1067.1.bg.a	$1067$	$1$	1067.bg	1067.ag	$48$	$16$	$1$	$0.533$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-11}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{48}^{5}-\zeta_{48}^{9})q^{3}+\zeta_{48}^{2}q^{4}+(-\zeta_{48}^{3}+\cdots)q^{5}+\cdots$
1164.1.br.a	$1164$	$1$	1164.br	291.v	$48$	$16$	$1$	$0.581$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{48}^{19}q^{3}+(\zeta_{48}^{3}-\zeta_{48}^{20})q^{7}+\cdots$
1224.1.cx.a	$1224$	$1$	1224.cx	1224.bx	$48$	$16$	$1$	$0.611$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{48}^{5}q^{2}+\zeta_{48}^{14}q^{3}+\zeta_{48}^{10}q^{4}+\cdots$
1224.1.cx.b	$1224$	$1$	1224.cx	1224.bx	$48$	$16$	$1$	$0.611$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{48}^{5}q^{2}+\zeta_{48}^{17}q^{3}+\zeta_{48}^{10}q^{4}+\cdots$
1351.1.bs.a	$1351$	$1$	1351.bs	1351.as	$48$	$16$	$1$	$0.674$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{48}^{5}-\zeta_{48}^{9})q^{2}+(\zeta_{48}^{10}+\zeta_{48}^{14}+\cdots)q^{4}+\cdots$
1472.1.s.b	$1472$	$1$	1472.s	1472.s	$16$	$16$	$2$	$0.735$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-23}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{48}q^{2}+(-\zeta_{48}^{4}+\zeta_{48}^{17})q^{3}+\cdots$
1544.1.bo.a	$1544$	$1$	1544.bo	1544.ao	$48$	$16$	$1$	$0.771$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{48}^{17}q^{2}+(-\zeta_{48}^{3}+\zeta_{48}^{9})q^{3}+\cdots$
1552.1.da.a	$1552$	$1$	1552.da	388.v	$48$	$16$	$1$	$0.775$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{48}^{4}+\zeta_{48}^{21})q^{5}+\zeta_{48}^{22}q^{9}+\cdots$
1731.1.bb.a	$1731$	$1$	1731.bb	1731.ab	$48$	$16$	$1$	$0.864$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$-16$	$1$		$q+\zeta_{48}^{18}q^{3}+\zeta_{48}^{20}q^{4}+(-1+\zeta_{48}+\cdots)q^{7}+\cdots$
1940.1.cx.a	$1940$	$1$	1940.cx	1940.bx	$48$	$16$	$1$	$0.968$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{48}^{17}q^{2}-\zeta_{48}^{10}q^{4}+\zeta_{48}^{9}q^{5}+\cdots$
1940.1.cx.b	$1940$	$1$	1940.cx	1940.bx	$48$	$16$	$1$	$0.968$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{48}^{17}q^{2}-\zeta_{48}^{10}q^{4}-\zeta_{48}^{4}q^{5}+\cdots$
1984.1.bn.b	$1984$	$1$	1984.bn	1984.an	$16$	$16$	$2$	$0.990$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-31}) $	None		$4$	$0$	$0$	$0$	$8$	$0$	$1$		$q+\zeta_{48}^{14}q^{2}-\zeta_{48}^{4}q^{4}+(-\zeta_{48}^{16}+\cdots)q^{5}+\cdots$
2037.1.dn.a	$2037$	$1$	2037.dn	2037.cn	$48$	$16$	$1$	$1.017$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{48}^{11}q^{3}+\zeta_{48}^{18}q^{4}-\zeta_{48}^{4}q^{7}+\cdots$
2037.1.dr.a	$2037$	$1$	2037.dr	2037.cr	$48$	$16$	$1$	$1.017$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{48}^{3}q^{3}-\zeta_{48}^{10}q^{4}-\zeta_{48}^{19}q^{7}+\cdots$
2261.1.fc.a	$2261$	$1$	2261.fc	2261.ec	$48$	$16$	$1$	$1.128$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-19}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{48}^{2}q^{4}+(-\zeta_{48}^{3}+\zeta_{48}^{20})q^{5}+\cdots$
2261.1.fc.b	$2261$	$1$	2261.fc	2261.ec	$48$	$16$	$1$	$1.128$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-19}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{48}^{2}q^{4}+(-\zeta_{48}^{11}+\zeta_{48}^{12})q^{5}+\cdots$
2295.1.ca.a	$2295$	$1$	2295.ca	85.p	$16$	$32$	$4$	$1.145$	$\Q(\zeta_{96})$	$D_{48}$	$\Q(\sqrt{-15}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{96}^{19}+\zeta_{96}^{41})q^{2}+(-\zeta_{96}^{12}+\cdots)q^{4}+\cdots$
2308.1.bb.a	$2308$	$1$	2308.bb	2308.ab	$48$	$16$	$1$	$1.152$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{48}^{2}q^{2}+\zeta_{48}^{4}q^{4}+(\zeta_{48}^{10}+\zeta_{48}^{15}+\cdots)q^{5}+\cdots$
2316.1.bq.a	$2316$	$1$	2316.bq	579.u	$48$	$16$	$1$	$1.156$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{48}^{18}q^{3}+(-\zeta_{48}-\zeta_{48}^{7})q^{7}+\cdots$
2328.1.de.a	$2328$	$1$	2328.de	2328.ce	$48$	$16$	$1$	$1.162$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-6}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{48}^{7}q^{2}-\zeta_{48}^{13}q^{3}+\zeta_{48}^{14}q^{4}+\cdots$
2328.1.de.b	$2328$	$1$	2328.de	2328.ce	$48$	$16$	$1$	$1.162$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-6}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{48}^{7}q^{2}+\zeta_{48}^{13}q^{3}+\zeta_{48}^{14}q^{4}+\cdots$
2516.1.dh.a	$2516$	$1$	2516.dh	2516.ch	$48$	$16$	$1$	$1.256$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{48}^{19}q^{2}-\zeta_{48}^{14}q^{4}+(\zeta_{48}^{6}+\zeta_{48}^{13}+\cdots)q^{5}+\cdots$
2516.1.dm.a	$2516$	$1$	2516.dm	2516.cm	$48$	$16$	$1$	$1.256$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{48}^{23}q^{2}-\zeta_{48}^{22}q^{4}+(\zeta_{48}^{2}-\zeta_{48}^{9}+\cdots)q^{5}+\cdots$
2584.1.dt.a	$2584$	$1$	2584.dt	2584.ct	$48$	$16$	$1$	$1.290$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{48}q^{2}+(\zeta_{48}^{5}-\zeta_{48}^{6})q^{3}+\zeta_{48}^{2}q^{4}+\cdots$
2584.1.dt.b	$2584$	$1$	2584.dt	2584.ct	$48$	$16$	$1$	$1.290$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{48}q^{2}+(-\zeta_{48}^{14}-\zeta_{48}^{21})q^{3}+\cdots$
2619.1.cn.a	$2619$	$1$	2619.cn	291.v	$48$	$16$	$1$	$1.307$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{48}^{22}q^{4}+(-\zeta_{48}^{17}+\zeta_{48}^{20}+\cdots)q^{7}+\cdots$
3007.1.bp.b	$3007$	$1$	3007.bp	3007.ap	$16$	$16$	$2$	$1.501$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-31}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{48}^{7}+\zeta_{48}^{11})q^{2}+(\zeta_{48}^{14}-\zeta_{48}^{18}+\cdots)q^{4}+\cdots$
3007.1.ct.a	$3007$	$1$	3007.ct	3007.bt	$48$	$16$	$1$	$1.501$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-31}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{48}^{15}+\zeta_{48}^{19})q^{2}+(-\zeta_{48}^{6}-\zeta_{48}^{10}+\cdots)q^{4}+\cdots$
3007.1.ct.b	$3007$	$1$	3007.ct	3007.bt	$48$	$16$	$1$	$1.501$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-31}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{48}^{11}-\zeta_{48}^{23})q^{2}-\zeta_{48}^{10}q^{4}+\cdots$
3007.1.ct.c	$3007$	$1$	3007.ct	3007.bt	$48$	$16$	$1$	$1.501$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-31}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{48}^{3}-\zeta_{48}^{7})q^{2}+(\zeta_{48}^{6}-\zeta_{48}^{10}+\cdots)q^{4}+\cdots$
3009.1.q.c	$3009$	$1$	3009.q	3009.q	$16$	$16$	$2$	$1.502$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-59}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{48}^{22}q^{3}-\zeta_{48}^{18}q^{4}+(-\zeta_{48}+\cdots)q^{5}+\cdots$
3009.1.q.d	$3009$	$1$	3009.q	3009.q	$16$	$16$	$2$	$1.502$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-59}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{48}q^{3}-\zeta_{48}^{18}q^{4}+(\zeta_{48}^{10}+\zeta_{48}^{17}+\cdots)q^{5}+\cdots$
3076.1.v.a	$3076$	$1$	3076.v	3076.v	$48$	$16$	$1$	$1.535$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{48}^{19}q^{2}-\zeta_{48}^{14}q^{4}+(-\zeta_{48}^{12}+\cdots)q^{5}+\cdots$
3104.1.et.a	$3104$	$1$	3104.et	776.ap	$48$	$16$	$1$	$1.549$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$-8$	$0$	$0$	$1$		$q+(\zeta_{48}^{6}+\zeta_{48}^{16})q^{3}+(-\zeta_{48}^{8}+\zeta_{48}^{12}+\cdots)q^{9}+\cdots$
3395.1.gp.a	$3395$	$1$	3395.gp	3395.fp	$48$	$32$	$2$	$1.694$	$\Q(\zeta_{96})$	$D_{48}$	$\Q(\sqrt{-35}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{96}^{5}-\zeta_{96}^{47})q^{3}-\zeta_{96}^{28}q^{4}+\cdots$
3400.1.cx.c	$3400$	$1$	3400.cx	680.bh	$16$	$16$	$2$	$1.697$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{48}^{21}q^{2}+(\zeta_{48}^{13}-\zeta_{48}^{20})q^{3}+\cdots$
3400.1.cx.d	$3400$	$1$	3400.cx	680.bh	$16$	$16$	$2$	$1.697$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{48}^{21}q^{2}+(\zeta_{48}^{4}+\zeta_{48}^{5})q^{3}-\zeta_{48}^{18}q^{4}+\cdots$
3400.1.dh.c	$3400$	$1$	3400.dh	680.br	$16$	$16$	$2$	$1.697$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$-8$	$0$	$0$	$1$		$q+\zeta_{48}^{9}q^{2}+(\zeta_{48}^{16}+\zeta_{48}^{17})q^{3}+\cdots$
3400.1.dh.d	$3400$	$1$	3400.dh	680.br	$16$	$16$	$2$	$1.697$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$8$	$0$	$0$	$1$		$q-\zeta_{48}^{9}q^{2}+(-\zeta_{48}+\zeta_{48}^{8})q^{3}+\zeta_{48}^{18}q^{4}+\cdots$
3459.1.bb.a	$3459$	$1$	3459.bb	3459.ab	$48$	$16$	$1$	$1.726$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{48}^{5}q^{3}+\zeta_{48}^{4}q^{4}+(\zeta_{48}^{4}-\zeta_{48}^{17}+\cdots)q^{7}+\cdots$
3492.1.dt.a	$3492$	$1$	3492.dt	388.v	$48$	$16$	$1$	$1.743$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$-8$	$0$	$1$		$q-\zeta_{48}^{11}q^{2}+\zeta_{48}^{22}q^{4}+(-\zeta_{48}^{3}+\cdots)q^{5}+\cdots$
3492.1.dt.b	$3492$	$1$	3492.dt	388.v	$48$	$16$	$1$	$1.743$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$8$	$0$	$1$		$q+\zeta_{48}^{11}q^{2}+\zeta_{48}^{22}q^{4}+(\zeta_{48}^{3}-\zeta_{48}^{16}+\cdots)q^{5}+\cdots$
3536.1.jl.a	$3536$	$1$	3536.jl	884.bn	$48$	$16$	$1$	$1.765$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{48}^{5}-\zeta_{48}^{22})q^{5}-\zeta_{48}^{11}q^{9}+\cdots$
3536.1.kj.a	$3536$	$1$	3536.kj	884.bt	$48$	$16$	$1$	$1.765$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{48}^{10}-\zeta_{48}^{17})q^{5}-\zeta_{48}^{19}q^{9}+\cdots$
3672.1.dv.a	$3672$	$1$	3672.dv	1224.bx	$48$	$16$	$1$	$1.833$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{48}^{5}q^{2}+\zeta_{48}^{10}q^{4}-\zeta_{48}^{15}q^{8}+\cdots$
3672.1.dv.b	$3672$	$1$	3672.dv	1224.bx	$48$	$16$	$1$	$1.833$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{48}^{5}q^{2}+\zeta_{48}^{10}q^{4}+\zeta_{48}^{15}q^{8}+\cdots$

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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.