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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 153 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
388.1.r.a	$388$	$1$	388.r	388.r	$24$	$8$	$1$	$0.194$	$\Q(\zeta_{24})$	$D_{24}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$4$	$0$	$1$		$q-\zeta_{24}^{11}q^{2}-\zeta_{24}^{10}q^{4}+(-\zeta_{24}^{3}+\cdots)q^{5}+\cdots$
657.1.bt.a	$657$	$1$	657.bt	73.j	$24$	$8$	$1$	$0.328$	$\Q(\zeta_{24})$	$D_{24}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{24}^{8}q^{4}+(\zeta_{24}^{2}+\zeta_{24}^{7})q^{7}+(\zeta_{24}+\cdots)q^{13}+\cdots$
736.1.p.b	$736$	$1$	736.p	736.p	$8$	$8$	$2$	$0.367$	$\Q(\zeta_{24})$	$D_{24}$	$\Q(\sqrt{-23}) $	None		$4$	$0$	$0$	$4$	$0$	$0$	$1$		$q-\zeta_{24}^{5}q^{2}+(\zeta_{24}-\zeta_{24}^{8})q^{3}+\zeta_{24}^{10}q^{4}+\cdots$
772.1.r.a	$772$	$1$	772.r	772.r	$24$	$8$	$1$	$0.385$	$\Q(\zeta_{24})$	$D_{24}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{24}q^{2}+\zeta_{24}^{2}q^{4}+(\zeta_{24}^{7}+\zeta_{24}^{10}+\cdots)q^{5}+\cdots$
776.1.bh.a	$776$	$1$	776.bh	776.ah	$24$	$8$	$1$	$0.387$	$\Q(\zeta_{24})$	$D_{24}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$-4$	$0$	$0$	$1$		$q-\zeta_{24}^{7}q^{2}+(-\zeta_{24}^{6}+\zeta_{24}^{8})q^{3}+\cdots$
884.1.cj.a	$884$	$1$	884.cj	884.bj	$24$	$8$	$1$	$0.441$	$\Q(\zeta_{24})$	$D_{24}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{24}^{5}q^{2}+\zeta_{24}^{10}q^{4}+(\zeta_{24}^{2}+\zeta_{24}^{7}+\cdots)q^{5}+\cdots$
884.1.cj.b	$884$	$1$	884.cj	884.bj	$24$	$8$	$1$	$0.441$	$\Q(\zeta_{24})$	$D_{24}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{24}^{5}q^{2}+\zeta_{24}^{10}q^{4}+(-\zeta_{24}^{10}+\cdots)q^{5}+\cdots$
992.1.y.b	$992$	$1$	992.y	992.y	$8$	$8$	$2$	$0.495$	$\Q(\zeta_{24})$	$D_{24}$	$\Q(\sqrt{-31}) $	None		$4$	$0$	$0$	$0$	$-4$	$0$	$1$		$q-\zeta_{24}^{10}q^{2}-\zeta_{24}^{8}q^{4}+(-\zeta_{24}+\zeta_{24}^{8}+\cdots)q^{5}+\cdots$
1003.1.h.b	$1003$	$1$	1003.h	1003.h	$8$	$8$	$2$	$0.501$	$\Q(\zeta_{24})$	$D_{24}$	$\Q(\sqrt{-59}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$2$		$q+(-\zeta_{24}-\zeta_{24}^{2})q^{3}-\zeta_{24}^{6}q^{4}+(\zeta_{24}^{5}+\cdots)q^{5}+\cdots$
1067.1.y.a	$1067$	$1$	1067.y	1067.y	$24$	$8$	$1$	$0.533$	$\Q(\zeta_{24})$	$D_{24}$	$\Q(\sqrt{-11}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{24}^{3}+\zeta_{24}^{11})q^{3}-\zeta_{24}^{2}q^{4}+\cdots$
1164.1.bj.a	$1164$	$1$	1164.bj	291.r	$24$	$8$	$1$	$0.581$	$\Q(\zeta_{24})$	$D_{24}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$4$	$1$		$q+\zeta_{24}^{5}q^{3}+(\zeta_{24}^{4}-\zeta_{24}^{9})q^{7}+\zeta_{24}^{10}q^{9}+\cdots$
1224.1.cp.a	$1224$	$1$	1224.cp	1224.bp	$24$	$8$	$1$	$0.611$	$\Q(\zeta_{24})$	$D_{24}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{24}q^{2}-\zeta_{24}q^{3}+\zeta_{24}^{2}q^{4}-\zeta_{24}^{2}q^{6}+\cdots$
1224.1.cp.b	$1224$	$1$	1224.cp	1224.bp	$24$	$8$	$1$	$0.611$	$\Q(\zeta_{24})$	$D_{24}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{24}q^{2}-\zeta_{24}^{10}q^{3}+\zeta_{24}^{2}q^{4}+\cdots$
1235.1.bm.a	$1235$	$1$	1235.bm	1235.am	$6$	$16$	$8$	$0.616$	$\Q(\zeta_{48})$	$D_{24}$	$\Q(\sqrt{-95}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{48}^{13}+\zeta_{48}^{19})q^{2}+(-\zeta_{48}^{15}+\cdots)q^{3}+\cdots$
1292.1.x.a	$1292$	$1$	1292.x	323.l	$8$	$8$	$2$	$0.645$	$\Q(\zeta_{24})$	$D_{24}$	$\Q(\sqrt{-19}) $	None		$4$	$0$	$0$	$0$	$4$	$0$	$1$		$q+(\zeta_{24}^{4}+\zeta_{24}^{5})q^{5}+(-\zeta_{24}^{5}-\zeta_{24}^{10}+\cdots)q^{7}+\cdots$
1299.1.v.a	$1299$	$1$	1299.v	1299.v	$24$	$8$	$1$	$0.648$	$\Q(\zeta_{24})$	$D_{24}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$4$	$0$	$0$	$1$		$q+\zeta_{24}^{4}q^{3}-\zeta_{24}^{6}q^{4}+(\zeta_{24}^{2}+\zeta_{24}^{5}+\cdots)q^{7}+\cdots$
1351.1.bp.a	$1351$	$1$	1351.bp	1351.ap	$24$	$8$	$1$	$0.674$	$\Q(\zeta_{24})$	$D_{24}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$0$	$0$	$0$	$4$	$1$		$q+(-\zeta_{24}^{3}+\zeta_{24}^{11})q^{2}+(\zeta_{24}^{2}+\zeta_{24}^{6}+\cdots)q^{4}+\cdots$
1411.1.h.b	$1411$	$1$	1411.h	1411.h	$8$	$8$	$2$	$0.704$	$\Q(\zeta_{24})$	$D_{24}$	$\Q(\sqrt{-83}) $	None		$4$	$0$	$0$	$0$	$0$	$4$	$1$		$q+(-\zeta_{24}+\zeta_{24}^{2})q^{3}-\zeta_{24}^{6}q^{4}+(\zeta_{24}+\cdots)q^{7}+\cdots$
1460.1.ce.a	$1460$	$1$	1460.ce	1460.be	$24$	$8$	$1$	$0.729$	$\Q(\zeta_{24})$	$D_{24}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{24}^{5}q^{2}+\zeta_{24}^{10}q^{4}-\zeta_{24}q^{5}+\cdots$
1460.1.ck.a	$1460$	$1$	1460.ck	1460.bk	$24$	$8$	$1$	$0.729$	$\Q(\zeta_{24})$	$D_{24}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{24}^{7}q^{2}-\zeta_{24}^{2}q^{4}-\zeta_{24}^{2}q^{5}+\cdots$
1479.1.x.b	$1479$	$1$	1479.x	1479.x	$8$	$16$	$4$	$0.738$	$\Q(\zeta_{48})$	$D_{24}$	$\Q(\sqrt{-87}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{48}^{17}-\zeta_{48}^{19})q^{2}+\zeta_{48}^{3}q^{3}+\cdots$
1533.1.du.a	$1533$	$1$	1533.du	1533.cu	$24$	$8$	$1$	$0.765$	$\Q(\zeta_{24})$	$D_{24}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{24}^{3}q^{3}+\zeta_{24}^{8}q^{4}+\zeta_{24}^{2}q^{7}+\cdots$
1533.1.du.b	$1533$	$1$	1533.du	1533.cu	$24$	$8$	$1$	$0.765$	$\Q(\zeta_{24})$	$D_{24}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{24}^{3}q^{3}+\zeta_{24}^{8}q^{4}-\zeta_{24}q^{7}+\zeta_{24}^{6}q^{9}+\cdots$
1544.1.bh.a	$1544$	$1$	1544.bh	1544.ah	$24$	$8$	$1$	$0.771$	$\Q(\zeta_{24})$	$D_{24}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{24}^{5}q^{2}+(-\zeta_{24}^{3}-\zeta_{24}^{9})q^{3}+\cdots$
1731.1.u.a	$1731$	$1$	1731.u	1731.u	$24$	$8$	$1$	$0.864$	$\Q(\zeta_{24})$	$D_{24}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$8$	$1$		$q+\zeta_{24}^{6}q^{3}+\zeta_{24}^{4}q^{4}+(1+\zeta_{24}^{11}+\cdots)q^{7}+\cdots$
1751.1.d.i	$1751$	$1$	1751.d	1751.d	$2$	$8$	$8$	$0.874$	$\Q(\zeta_{48})^+$	$D_{24}$	$\Q(\sqrt{-1751}) $	None	✓	$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\beta _{4}q^{2}-\beta _{3}q^{3}+2q^{4}+(-\beta _{1}-\beta _{7})q^{5}+\cdots$
1752.1.cz.a	$1752$	$1$	1752.cz	1752.bz	$24$	$8$	$1$	$0.874$	$\Q(\zeta_{24})$	$D_{24}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{24}^{10}q^{2}-\zeta_{24}^{5}q^{3}-\zeta_{24}^{8}q^{4}+\cdots$
1752.1.cz.b	$1752$	$1$	1752.cz	1752.bz	$24$	$8$	$1$	$0.874$	$\Q(\zeta_{24})$	$D_{24}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{24}^{10}q^{2}+\zeta_{24}q^{3}-\zeta_{24}^{8}q^{4}+\cdots$
1755.1.o.a	$1755$	$1$	1755.o	65.h	$4$	$16$	$8$	$0.876$	$\Q(\zeta_{48})$	$D_{24}$	$\Q(\sqrt{-39}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{48}^{17}-\zeta_{48}^{19})q^{2}+(-\zeta_{48}^{10}+\cdots)q^{4}+\cdots$
1768.1.cj.c	$1768$	$1$	1768.cj	1768.bj	$8$	$8$	$2$	$0.882$	$\Q(\zeta_{24})$	$D_{24}$	$\Q(\sqrt{-26}) $	None		$4$	$0$	$0$	$4$	$-4$	$0$	$1$		$q+\zeta_{24}^{3}q^{2}+(\zeta_{24}-\zeta_{24}^{8})q^{3}+\zeta_{24}^{6}q^{4}+\cdots$
1768.1.cj.d	$1768$	$1$	1768.cj	1768.bj	$8$	$8$	$2$	$0.882$	$\Q(\zeta_{24})$	$D_{24}$	$\Q(\sqrt{-26}) $	None		$4$	$0$	$0$	$4$	$4$	$0$	$1$		$q-\zeta_{24}^{3}q^{2}+(\zeta_{24}-\zeta_{24}^{8})q^{3}+\zeta_{24}^{6}q^{4}+\cdots$
1895.1.d.i	$1895$	$1$	1895.d	1895.d	$2$	$8$	$8$	$0.946$	$\Q(\zeta_{48})^+$	$D_{24}$	$\Q(\sqrt{-1895}) $	None	✓	$4$	$0$	$0$	$0$	$-8$	$0$	$1$		$q-\beta _{1}q^{2}+(\beta _{3}+\beta _{5})q^{3}+(1+\beta _{2})q^{4}+\cdots$
1928.1.bw.a	$1928$	$1$	1928.bw	1928.aw	$24$	$8$	$1$	$0.962$	$\Q(\zeta_{24})$	$D_{24}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{24}^{11}q^{2}-\zeta_{24}^{10}q^{4}-\zeta_{24}^{9}q^{8}+\cdots$
2037.1.cr.a	$2037$	$1$	2037.cr	2037.br	$24$	$8$	$1$	$1.017$	$\Q(\zeta_{24})$	$D_{24}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$4$	$1$		$q-\zeta_{24}^{11}q^{3}-\zeta_{24}^{6}q^{4}+\zeta_{24}^{4}q^{7}+\cdots$
2037.1.db.a	$2037$	$1$	2037.db	2037.cb	$24$	$8$	$1$	$1.017$	$\Q(\zeta_{24})$	$D_{24}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{24}^{3}q^{3}+\zeta_{24}^{2}q^{4}+\zeta_{24}^{11}q^{7}+\cdots$
2132.1.cs.a	$2132$	$1$	2132.cs	2132.bs	$24$	$8$	$1$	$1.064$	$\Q(\zeta_{24})$	$D_{24}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$-4$	$0$	$0$	$0$	$1$		$q-\zeta_{24}^{4}q^{2}+\zeta_{24}^{8}q^{4}+(\zeta_{24}^{5}+\zeta_{24}^{7}+\cdots)q^{5}+\cdots$
2132.1.cy.a	$2132$	$1$	2132.cy	2132.by	$24$	$8$	$1$	$1.064$	$\Q(\zeta_{24})$	$D_{24}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{24}^{10}q^{2}-\zeta_{24}^{8}q^{4}+(\zeta_{24}^{5}-\zeta_{24}^{7}+\cdots)q^{5}+\cdots$
2184.1.ib.a	$2184$	$1$	2184.ib	2184.hb	$12$	$16$	$4$	$1.090$	$\Q(\zeta_{48})$	$D_{24}$	$\Q(\sqrt{-14}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{48}^{22}q^{2}+\zeta_{48}^{5}q^{3}-\zeta_{48}^{20}q^{4}+\cdots$
2184.1.ib.b	$2184$	$1$	2184.ib	2184.hb	$12$	$16$	$4$	$1.090$	$\Q(\zeta_{48})$	$D_{24}$	$\Q(\sqrt{-14}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{48}^{14}q^{2}+\zeta_{48}^{15}q^{3}-\zeta_{48}^{4}q^{4}+\cdots$
2208.1.y.c	$2208$	$1$	2208.y	2208.y	$8$	$8$	$2$	$1.102$	$\Q(\zeta_{24})$	$D_{24}$	$\Q(\sqrt{-23}) $	None		$4$	$0$	$0$	$-4$	$0$	$0$	$1$		$q-\zeta_{24}^{5}q^{2}+\zeta_{24}^{8}q^{3}+\zeta_{24}^{10}q^{4}+\cdots$
2208.1.y.d	$2208$	$1$	2208.y	2208.y	$8$	$8$	$2$	$1.102$	$\Q(\zeta_{24})$	$D_{24}$	$\Q(\sqrt{-23}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{24}q^{2}-\zeta_{24}^{5}q^{3}+\zeta_{24}^{2}q^{4}+\zeta_{24}^{6}q^{6}+\cdots$
2261.1.ed.a	$2261$	$1$	2261.ed	2261.dd	$24$	$8$	$1$	$1.128$	$\Q(\zeta_{24})$	$D_{24}$	$\Q(\sqrt{-19}) $	None		$4$	$0$	$0$	$0$	$-8$	$0$	$1$		$q-\zeta_{24}^{2}q^{4}+(-1-\zeta_{24}^{5})q^{5}-\zeta_{24}^{10}q^{7}+\cdots$
2261.1.ed.b	$2261$	$1$	2261.ed	2261.dd	$24$	$8$	$1$	$1.128$	$\Q(\zeta_{24})$	$D_{24}$	$\Q(\sqrt{-19}) $	None		$4$	$0$	$0$	$0$	$4$	$0$	$1$		$q-\zeta_{24}^{2}q^{4}+(-\zeta_{24}^{8}+\zeta_{24}^{9})q^{5}+\cdots$
2295.1.bg.a	$2295$	$1$	2295.bg	255.y	$8$	$16$	$4$	$1.145$	$\Q(\zeta_{48})$	$D_{24}$	$\Q(\sqrt{-15}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{48}^{17}-\zeta_{48}^{19})q^{2}+(-\zeta_{48}^{10}+\cdots)q^{4}+\cdots$
2308.1.v.a	$2308$	$1$	2308.v	2308.v	$24$	$8$	$1$	$1.152$	$\Q(\zeta_{24})$	$D_{24}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{24}^{2}q^{2}+\zeta_{24}^{4}q^{4}+(\zeta_{24}^{9}-\zeta_{24}^{10}+\cdots)q^{5}+\cdots$
2316.1.bg.a	$2316$	$1$	2316.bg	579.r	$24$	$8$	$1$	$1.156$	$\Q(\zeta_{24})$	$D_{24}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{24}^{6}q^{3}+(\zeta_{24}+\zeta_{24}^{7})q^{7}-q^{9}+\cdots$
2327.1.d.i	$2327$	$1$	2327.d	2327.d	$2$	$8$	$8$	$1.161$	$\Q(\zeta_{48})^+$	$D_{24}$	$\Q(\sqrt{-2327}) $	None	✓	$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\beta _{1}q^{2}-\beta _{4}q^{3}+(1+\beta _{2})q^{4}+(2\beta _{3}+\cdots)q^{6}+\cdots$
2328.1.cn.a	$2328$	$1$	2328.cn	2328.bn	$24$	$8$	$1$	$1.162$	$\Q(\zeta_{24})$	$D_{24}$	$\Q(\sqrt{-6}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{24}^{7}q^{2}+\zeta_{24}q^{3}-\zeta_{24}^{2}q^{4}+(\zeta_{24}^{5}+\cdots)q^{5}+\cdots$
2328.1.cn.b	$2328$	$1$	2328.cn	2328.bn	$24$	$8$	$1$	$1.162$	$\Q(\zeta_{24})$	$D_{24}$	$\Q(\sqrt{-6}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{24}^{7}q^{2}-\zeta_{24}q^{3}-\zeta_{24}^{2}q^{4}+(-\zeta_{24}^{5}+\cdots)q^{5}+\cdots$
2336.1.da.a	$2336$	$1$	2336.da	73.j	$24$	$8$	$1$	$1.166$	$\Q(\zeta_{24})$	$D_{24}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$4$	$0$	$1$		$q+(-\zeta_{24}^{8}+\zeta_{24}^{11})q^{5}+\zeta_{24}^{6}q^{9}+\cdots$

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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.