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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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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
2001.1.bf.a	$2001$	$1$	2001.bf	2001.af	$28$	$12$	$1$	$0.999$	$\Q(\zeta_{28})$	$D_{28}$	$\Q(\sqrt{-23}) $	None		$4$	$0$	$-2$	$0$	$0$	$0$	$1$		$q+(-\zeta_{28}^{7}-\zeta_{28}^{10})q^{2}-\zeta_{28}^{9}q^{3}+\cdots$
2001.1.bf.b	$2001$	$1$	2001.bf	2001.af	$28$	$12$	$1$	$0.999$	$\Q(\zeta_{28})$	$D_{28}$	$\Q(\sqrt{-23}) $	None		$4$	$0$	$2$	$-2$	$0$	$0$	$1$		$q+(\zeta_{28}^{7}+\zeta_{28}^{10})q^{2}-\zeta_{28}^{6}q^{3}+(-1+\cdots)q^{4}+\cdots$
2008.1.w.a	$2008$	$1$	2008.w	2008.w	$50$	$20$	$1$	$1.002$	$\Q(\zeta_{50})$	$D_{25}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$-5$	$0$	$0$	$0$	$1$		$q-\zeta_{50}^{5}q^{2}+(\zeta_{50}^{2}+\zeta_{50}^{4})q^{3}+\zeta_{50}^{10}q^{4}+\cdots$
2013.1.bm.d	$2013$	$1$	2013.bm	2013.am	$10$	$16$	$4$	$1.005$	$\Q(\zeta_{40})$	$D_{20}$	$\Q(\sqrt{-183}) $	None		$8$	$0$	$0$	$4$	$0$	$0$	$1$		$q+(\zeta_{40}^{9}+\zeta_{40}^{15})q^{2}-\zeta_{40}^{16}q^{3}+\cdots$
2019.1.y.a	$2019$	$1$	2019.y	2019.y	$28$	$12$	$1$	$1.008$	$\Q(\zeta_{28})$	$D_{28}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$2$	$0$	$0$	$1$		$q+\zeta_{28}^{10}q^{3}-q^{4}+(\zeta_{28}^{3}-\zeta_{28}^{5}+\cdots)q^{7}+\cdots$
2020.1.d.e	$2020$	$1$	2020.d	2020.d	$2$	$12$	$12$	$1.008$	$\Q(\zeta_{28})$	$D_{14}$	$\Q(\sqrt{-101}) $	None		$8$	$0$	$0$	$0$	$2$	$0$	$1$		$q+\zeta_{28}^{7}q^{2}+(-\zeta_{28}^{3}-\zeta_{28}^{11})q^{3}+\cdots$
2020.1.bt.a	$2020$	$1$	2020.bt	2020.at	$50$	$20$	$1$	$1.008$	$\Q(\zeta_{50})$	$D_{50}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{50}^{8}q^{2}+\zeta_{50}^{16}q^{4}+\zeta_{50}^{11}q^{5}+\cdots$
2020.1.bt.b	$2020$	$1$	2020.bt	2020.at	$50$	$20$	$1$	$1.008$	$\Q(\zeta_{50})$	$D_{50}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{50}^{8}q^{2}+\zeta_{50}^{16}q^{4}+\zeta_{50}^{23}q^{5}+\cdots$
2020.1.bu.a	$2020$	$1$	2020.bu	2020.au	$50$	$20$	$1$	$1.008$	$\Q(\zeta_{50})$	$D_{25}$	$\Q(\sqrt{-5}) $	None		$4$	$0$	$0$	$-5$	$0$	$-5$	$1$		$q-\zeta_{50}^{9}q^{2}+(-\zeta_{50}^{7}+\zeta_{50}^{10})q^{3}+\cdots$
2020.1.bu.b	$2020$	$1$	2020.bu	2020.au	$50$	$20$	$1$	$1.008$	$\Q(\zeta_{50})$	$D_{25}$	$\Q(\sqrt{-5}) $	None		$4$	$0$	$0$	$5$	$0$	$5$	$1$		$q+\zeta_{50}^{9}q^{2}+(\zeta_{50}^{7}-\zeta_{50}^{10})q^{3}+\zeta_{50}^{18}q^{4}+\cdots$
2023.1.f.c	$2023$	$1$	2023.f	119.f	$4$	$12$	$6$	$1.010$	12.0.$\cdots$.1	$D_{9}$	$\Q(\sqrt{-7}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\beta _{9}q^{2}+(-1+\beta _{6})q^{4}-\beta _{10}q^{7}+\cdots$
2023.1.l.b	$2023$	$1$	2023.l	119.l	$8$	$16$	$4$	$1.010$	16.0.$\cdots$.1	$D_{5}$	$\Q(\sqrt{-119}) $	None		$16$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\beta _{12}q^{2}-\beta _{1}q^{3}-\beta _{8}q^{4}+(-\beta _{10}+\cdots)q^{5}+\cdots$
2025.1.y.a	$2025$	$1$	2025.y	225.t	$30$	$16$	$2$	$1.011$	$\Q(\zeta_{60})$	$A_{5}$	None	None		$8$	$0$	$0$	$0$	$0$	$4$	$1$		$q+(\zeta_{60}^{5}-\zeta_{60}^{23})q^{2}+(\zeta_{60}^{10}-\zeta_{60}^{16}+\cdots)q^{4}+\cdots$
2033.1.l.a	$2033$	$1$	2033.l	2033.l	$18$	$18$	$3$	$1.015$	$\Q(\zeta_{54})$	$D_{27}$	$\Q(\sqrt{-107}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{54}+\zeta_{54}^{20})q^{3}+\zeta_{54}^{12}q^{4}+\cdots$
2035.1.db.a	$2035$	$1$	2035.db	2035.cb	$36$	$12$	$1$	$1.016$	$\Q(\zeta_{36})$	$D_{36}$	$\Q(\sqrt{-11}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{36}^{3}+\zeta_{36}^{10})q^{3}+\zeta_{36}^{14}q^{4}+\cdots$
2035.1.db.b	$2035$	$1$	2035.db	2035.cb	$36$	$12$	$1$	$1.016$	$\Q(\zeta_{36})$	$D_{36}$	$\Q(\sqrt{-11}) $	None		$4$	$0$	$0$	$6$	$0$	$0$	$1$		$q+(\zeta_{36}-\zeta_{36}^{12})q^{3}+\zeta_{36}^{14}q^{4}-\zeta_{36}^{2}q^{5}+\cdots$
2035.1.dg.a	$2035$	$1$	2035.dg	2035.cg	$36$	$12$	$1$	$1.016$	$\Q(\zeta_{36})$	$D_{36}$	$\Q(\sqrt{-11}) $	None		$4$	$0$	$0$	$-6$	$0$	$0$	$1$		$q+(-\zeta_{36}^{6}+\zeta_{36}^{17})q^{3}+\zeta_{36}^{4}q^{4}+\cdots$
2035.1.dg.b	$2035$	$1$	2035.dg	2035.cg	$36$	$12$	$1$	$1.016$	$\Q(\zeta_{36})$	$D_{36}$	$\Q(\sqrt{-11}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{36}^{8}-\zeta_{36}^{15})q^{3}+\zeta_{36}^{4}q^{4}+\zeta_{36}^{13}q^{5}+\cdots$
2037.1.dg.a	$2037$	$1$	2037.dg	2037.cg	$32$	$16$	$1$	$1.017$	$\Q(\zeta_{32})$	$D_{32}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{32}^{11}q^{3}+\zeta_{32}^{2}q^{4}-\zeta_{32}^{12}q^{7}+\cdots$
2037.1.dg.b	$2037$	$1$	2037.dg	2037.cg	$32$	$16$	$1$	$1.017$	$\Q(\zeta_{32})$	$D_{32}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{32}^{11}q^{3}+\zeta_{32}^{2}q^{4}+\zeta_{32}^{3}q^{7}+\cdots$
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		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{48}^{3}q^{3}-\zeta_{48}^{10}q^{4}-\zeta_{48}^{19}q^{7}+\cdots$
2039.1.b.e	$2039$	$1$	2039.b	2039.b	$2$	$12$	$12$	$1.018$	$\Q(\zeta_{45})^+$	$D_{45}$	$\Q(\sqrt{-2039}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\beta _{5}q^{2}+\beta _{7}q^{3}+(1+\beta _{9})q^{4}+(\beta _{1}+\cdots)q^{5}+\cdots$
2040.1.fb.a	$2040$	$1$	2040.fb	2040.eb	$16$	$16$	$2$	$1.018$	$\Q(\zeta_{32})$	$D_{16}$	$\Q(\sqrt{-15}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{32}^{3}q^{2}-\zeta_{32}^{7}q^{3}+\zeta_{32}^{6}q^{4}+\cdots$
2040.1.fb.b	$2040$	$1$	2040.fb	2040.eb	$16$	$16$	$2$	$1.018$	$\Q(\zeta_{32})$	$D_{16}$	$\Q(\sqrt{-15}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{32}q^{2}-\zeta_{32}^{7}q^{3}+\zeta_{32}^{2}q^{4}+\zeta_{32}^{11}q^{5}+\cdots$
2055.1.bf.a	$2055$	$1$	2055.bf	2055.af	$34$	$16$	$1$	$1.026$	$\Q(\zeta_{34})$	$D_{17}$	$\Q(\sqrt{-15}) $	None		$4$	$0$	$-15$	$1$	$1$	$0$	$1$		$q+(-1-\zeta_{34}^{10})q^{2}+\zeta_{34}^{9}q^{3}+(1+\cdots)q^{4}+\cdots$
2055.1.bf.b	$2055$	$1$	2055.bf	2055.af	$34$	$16$	$1$	$1.026$	$\Q(\zeta_{34})$	$D_{17}$	$\Q(\sqrt{-15}) $	None		$4$	$0$	$15$	$-1$	$-1$	$0$	$1$		$q+(1+\zeta_{34}^{10})q^{2}-\zeta_{34}^{9}q^{3}+(1-\zeta_{34}^{3}+\cdots)q^{4}+\cdots$
2056.1.v.a	$2056$	$1$	2056.v	2056.v	$32$	$16$	$1$	$1.026$	$\Q(\zeta_{32})$	$D_{32}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{32}^{8}q^{2}+(-\zeta_{32}-\zeta_{32}^{4})q^{3}-q^{4}+\cdots$
2060.1.z.a	$2060$	$1$	2060.z	2060.z	$34$	$16$	$1$	$1.028$	$\Q(\zeta_{34})$	$D_{17}$	$\Q(\sqrt{-5}) $	None		$4$	$0$	$-1$	$-2$	$-1$	$-2$	$1$		$q-\zeta_{34}q^{2}+(-\zeta_{34}^{5}-\zeta_{34}^{13})q^{3}+\cdots$
2060.1.z.b	$2060$	$1$	2060.z	2060.z	$34$	$16$	$1$	$1.028$	$\Q(\zeta_{34})$	$D_{17}$	$\Q(\sqrt{-5}) $	None		$4$	$0$	$1$	$2$	$-1$	$2$	$1$		$q+\zeta_{34}q^{2}+(\zeta_{34}^{5}+\zeta_{34}^{13})q^{3}+\zeta_{34}^{2}q^{4}+\cdots$
2063.1.b.e	$2063$	$1$	2063.b	2063.b	$2$	$12$	$12$	$1.030$	$\Q(\zeta_{45})^+$	$D_{45}$	$\Q(\sqrt{-2063}) $	None	✓	$2$	$0$	$0$	$3$	$0$	$0$	$1$		$q+\beta _{7}q^{2}+\beta _{6}q^{3}+(1+\beta _{11})q^{4}+(\beta _{1}+\cdots)q^{6}+\cdots$
2064.1.cx.a	$2064$	$1$	2064.cx	129.o	$42$	$12$	$1$	$1.030$	$\Q(\zeta_{21})$	$D_{21}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$-1$	$0$	$1$	$1$		$q-\zeta_{42}^{16}q^{3}+(\zeta_{42}^{13}+\zeta_{42}^{15})q^{7}+\cdots$
2064.1.df.a	$2064$	$1$	2064.df	516.ad	$42$	$12$	$1$	$1.030$	$\Q(\zeta_{21})$	$D_{42}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$-1$	$0$	$-1$	$1$		$q+\zeta_{42}^{11}q^{3}+(-\zeta_{42}^{5}-\zeta_{42}^{9})q^{7}+\cdots$
2064.1.df.b	$2064$	$1$	2064.df	516.ad	$42$	$12$	$1$	$1.030$	$\Q(\zeta_{21})$	$D_{42}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$1$	$0$	$1$	$1$		$q-\zeta_{42}^{11}q^{3}+(\zeta_{42}^{5}+\zeta_{42}^{9})q^{7}-\zeta_{42}q^{9}+\cdots$
2072.1.gz.a	$2072$	$1$	2072.gz	2072.fz	$36$	$12$	$1$	$1.034$	$\Q(\zeta_{36})$	$D_{36}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{36}^{2}q^{2}+\zeta_{36}^{4}q^{4}+\zeta_{36}^{11}q^{7}+\cdots$
2072.1.gz.b	$2072$	$1$	2072.gz	2072.fz	$36$	$12$	$1$	$1.034$	$\Q(\zeta_{36})$	$D_{36}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{36}^{15}q^{2}-\zeta_{36}^{12}q^{4}-\zeta_{36}^{11}q^{7}+\cdots$
2077.1.bd.b	$2077$	$1$	2077.bd	2077.ad	$22$	$20$	$2$	$1.037$	$\Q(\zeta_{33})$	$D_{33}$	$\Q(\sqrt{-31}) $	None		$4$	$0$	$-9$	$0$	$2$	$2$	$11$		$q+(-\zeta_{66}^{11}+\zeta_{66}^{28})q^{2}+(\zeta_{66}^{6}+\zeta_{66}^{22}+\cdots)q^{4}+\cdots$
2079.1.dd.a	$2079$	$1$	2079.dd	231.z	$30$	$16$	$2$	$1.038$	$\Q(\zeta_{60})$	$A_{5}$	None	None		$8$	$0$	$0$	$0$	$0$	$2$	$1$		$q+(\zeta_{60}^{5}-\zeta_{60}^{23})q^{2}+(\zeta_{60}^{10}-\zeta_{60}^{16}+\cdots)q^{4}+\cdots$
2084.1.p.a	$2084$	$1$	2084.p	2084.p	$26$	$12$	$1$	$1.040$	$\Q(\zeta_{26})$	$D_{26}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$-1$	$0$	$-2$	$0$	$1$		$q+\zeta_{26}^{4}q^{2}+\zeta_{26}^{8}q^{4}+(-\zeta_{26}^{5}+\zeta_{26}^{8}+\cdots)q^{5}+\cdots$
2084.1.r.a	$2084$	$1$	2084.r	2084.r	$26$	$12$	$1$	$1.040$	$\Q(\zeta_{26})$	$D_{13}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$-1$	$0$	$-2$	$0$	$1$		$q+\zeta_{26}^{6}q^{2}+\zeta_{26}^{12}q^{4}+(-\zeta_{26}+\zeta_{26}^{12}+\cdots)q^{5}+\cdots$
2087.1.b.c	$2087$	$1$	2087.b	2087.b	$2$	$12$	$12$	$1.042$	$\Q(\zeta_{35})^+$	$D_{35}$	$\Q(\sqrt{-2087}) $	None	✓	$2$	$0$	$1$	$-4$	$0$	$0$	$1$		$q+\beta _{9}q^{2}+(-1-\beta _{5}-\beta _{10})q^{3}+(-\beta _{3}+\cdots)q^{4}+\cdots$
2091.1.cv.a	$2091$	$1$	2091.cv	2091.bv	$20$	$16$	$2$	$1.044$	$\Q(\zeta_{40})$	$D_{20}$	$\Q(\sqrt{-51}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{40}^{15}q^{3}+\zeta_{40}^{12}q^{4}+(-\zeta_{40}^{5}+\cdots)q^{5}+\cdots$
2101.1.be.a	$2101$	$1$	2101.be	2101.ae	$38$	$18$	$1$	$1.049$	$\Q(\zeta_{38})$	$D_{19}$	$\Q(\sqrt{-11}) $	None		$4$	$0$	$0$	$-2$	$-2$	$0$	$1$		$q+(-\zeta_{38}^{9}+\zeta_{38}^{12})q^{3}+\zeta_{38}^{6}q^{4}+\cdots$
2104.1.d.e	$2104$	$1$	2104.d	2104.d	$2$	$12$	$12$	$1.050$	$\Q(\zeta_{26})$	$D_{26}$	$\Q(\sqrt{-263}) $	None		$4$	$0$	$1$	$0$	$0$	$0$	$1$		$q-\zeta_{26}^{10}q^{2}+(\zeta_{26}^{2}+\zeta_{26}^{11})q^{3}+\cdots$
2107.1.eg.a	$2107$	$1$	2107.eg	301.ae	$42$	$12$	$1$	$1.052$	$\Q(\zeta_{21})$	$D_{14}$	$\Q(\sqrt{-7}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{42}^{10}+\zeta_{42}^{16})q^{2}+(\zeta_{42}^{5}-\zeta_{42}^{11}+\cdots)q^{4}+\cdots$
2107.1.eh.a	$2107$	$1$	2107.eh	301.af	$42$	$12$	$1$	$1.052$	$\Q(\zeta_{21})$	$D_{42}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$-3$	$0$	$0$	$0$	$1$		$q+(\zeta_{42}^{18}-\zeta_{42}^{20})q^{2}+(-\zeta_{42}^{15}+\cdots)q^{4}+\cdots$
2107.1.ez.a	$2107$	$1$	2107.ez	301.ai	$42$	$12$	$1$	$1.052$	$\Q(\zeta_{21})$	$D_{42}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$3$	$0$	$0$	$0$	$1$		$q+(-\zeta_{42}^{18}-\zeta_{42}^{19})q^{2}+(-\zeta_{42}^{15}+\cdots)q^{4}+\cdots$
2107.1.fj.a	$2107$	$1$	2107.fj	301.aj	$42$	$12$	$1$	$1.052$	$\Q(\zeta_{21})$	$D_{7}$	$\Q(\sqrt{-7}) $	None		$8$	$0$	$2$	$0$	$0$	$0$	$1$		$q+(-\zeta_{42}^{5}+\zeta_{42}^{8})q^{2}+(\zeta_{42}^{10}-\zeta_{42}^{13}+\cdots)q^{4}+\cdots$
2107.1.fu.a	$2107$	$1$	2107.fu	301.ak	$42$	$12$	$1$	$1.052$	$\Q(\zeta_{21})$	$D_{21}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$-1$	$0$	$0$	$0$	$1$		$q+(-\zeta_{42}-\zeta_{42}^{3})q^{2}+(\zeta_{42}^{2}+\zeta_{42}^{4}+\cdots)q^{4}+\cdots$
2107.1.ga.a	$2107$	$1$	2107.ga	301.al	$42$	$12$	$1$	$1.052$	$\Q(\zeta_{21})$	$D_{21}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$-1$	$0$	$0$	$0$	$1$		$q+(\zeta_{42}^{6}-\zeta_{42}^{11})q^{2}+(-\zeta_{42}+\zeta_{42}^{12}+\cdots)q^{4}+\cdots$

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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.