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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.c	$2001$	$1$	2001.bf	2001.af	$28$	$24$	$2$	$0.999$	$\Q(\zeta_{84})$	$D_{84}$	$\Q(\sqrt{-23}) $	None		$4$	$0$	$-2$	$2$	$0$	$0$	$1$		$q+(-\zeta_{84}^{7}-\zeta_{84}^{20})q^{2}-\zeta_{84}^{26}q^{3}+\cdots$
2001.1.bf.d	$2001$	$1$	2001.bf	2001.af	$28$	$24$	$2$	$0.999$	$\Q(\zeta_{84})$	$D_{84}$	$\Q(\sqrt{-23}) $	None		$4$	$0$	$2$	$0$	$0$	$0$	$1$		$q+(\zeta_{84}^{7}+\zeta_{84}^{20})q^{2}+\zeta_{84}^{25}q^{3}+\cdots$
2007.1.v.a	$2007$	$1$	2007.v	223.f	$74$	$36$	$1$	$1.002$	$\Q(\zeta_{74})$	$D_{74}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$2$	$1$		$q-\zeta_{74}^{20}q^{4}+(\zeta_{74}^{21}+\zeta_{74}^{27})q^{7}+\cdots$
2008.1.bd.a	$2008$	$1$	2008.bd	2008.ad	$250$	$100$	$1$	$1.002$	$\Q(\zeta_{250})$	$D_{125}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{250}^{35}q^{2}+(\zeta_{250}^{14}-\zeta_{250}^{53})q^{3}+\cdots$
2019.1.bg.a	$2019$	$1$	2019.bg	2019.ag	$56$	$24$	$1$	$1.008$	$\Q(\zeta_{56})$	$D_{56}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{56}^{6}q^{3}-\zeta_{56}^{14}q^{4}+(-\zeta_{56}^{13}+\cdots)q^{7}+\cdots$
2019.1.bn.a	$2019$	$1$	2019.bn	2019.an	$112$	$48$	$1$	$1.008$	$\Q(\zeta_{112})$	$D_{112}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{112}^{38}q^{3}-\zeta_{112}^{14}q^{4}+(\zeta_{112}^{31}+\cdots)q^{7}+\cdots$
2020.1.bt.c	$2020$	$1$	2020.bt	2020.at	$50$	$40$	$2$	$1.008$	$\Q(\zeta_{100})$	$D_{50}$	$\Q(\sqrt{-5}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{100}q^{2}+(-\zeta_{100}^{15}-\zeta_{100}^{23})q^{3}+\cdots$
2020.1.ca.a	$2020$	$1$	2020.ca	2020.ba	$100$	$40$	$1$	$1.008$	$\Q(\zeta_{100})$	$D_{100}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{100}^{22}q^{2}+\zeta_{100}^{44}q^{4}-\zeta_{100}^{49}q^{5}+\cdots$
2020.1.cd.a	$2020$	$1$	2020.cd	2020.bd	$100$	$40$	$1$	$1.008$	$\Q(\zeta_{100})$	$D_{100}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{100}^{41}q^{2}-\zeta_{100}^{32}q^{4}-\zeta_{100}^{21}q^{5}+\cdots$
2021.1.t.a	$2021$	$1$	2021.t	2021.t	$46$	$22$	$1$	$1.009$	$\Q(\zeta_{46})$	$D_{23}$	$\Q(\sqrt{-43}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{46}^{2}q^{4}-\zeta_{46}^{15}q^{9}+(-\zeta_{46}^{13}+\cdots)q^{11}+\cdots$
2023.1.l.c	$2023$	$1$	2023.l	119.l	$8$	$24$	$6$	$1.010$	24.0.$\cdots$.1	$D_{9}$	$\Q(\sqrt{-7}) $	None		$16$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\beta _{21}q^{2}+(-\beta _{11}+\beta _{13}-\beta _{15})q^{4}+\cdots$
2028.1.bm.a	$2028$	$1$	2028.bm	507.v	$78$	$24$	$1$	$1.012$	$\Q(\zeta_{39})$	$D_{78}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$-1$	$0$	$3$	$1$		$q+\zeta_{78}^{29}q^{3}+(\zeta_{78}^{8}+\zeta_{78}^{15})q^{7}+\cdots$
2028.1.bq.a	$2028$	$1$	2028.bq	507.u	$78$	$24$	$1$	$1.012$	$\Q(\zeta_{39})$	$D_{39}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$1$	$0$	$-1$	$1$		$q-\zeta_{78}^{37}q^{3}+(-\zeta_{78}^{3}-\zeta_{78}^{25})q^{7}+\cdots$
2037.1.eb.a	$2037$	$1$	2037.eb	2037.db	$96$	$32$	$1$	$1.017$	$\Q(\zeta_{96})$	$D_{96}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{96}^{17}q^{3}+\zeta_{96}^{6}q^{4}-\zeta_{96}^{4}q^{7}+\cdots$
2037.1.el.a	$2037$	$1$	2037.el	2037.dl	$96$	$32$	$1$	$1.017$	$\Q(\zeta_{96})$	$D_{96}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{96}^{27}q^{3}+\zeta_{96}^{2}q^{4}-\zeta_{96}^{35}q^{7}+\cdots$
2055.1.be.a	$2055$	$1$	2055.be	2055.ae	$34$	$32$	$2$	$1.026$	$\Q(\zeta_{68})$	$D_{34}$	$\Q(\sqrt{-15}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{68}^{17}-\zeta_{68}^{19})q^{2}+\zeta_{68}^{29}q^{3}+\cdots$
2055.1.bu.a	$2055$	$1$	2055.bu	2055.au	$68$	$64$	$2$	$1.026$	$\Q(\zeta_{136})$	$D_{68}$	$\Q(\sqrt{-15}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{136}^{17}-\zeta_{136}^{67})q^{2}-\zeta_{136}^{11}q^{3}+\cdots$
2056.1.bb.a	$2056$	$1$	2056.bb	2056.ab	$64$	$32$	$1$	$1.026$	$\Q(\zeta_{64})$	$D_{64}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{64}^{8}q^{2}+(\zeta_{64}^{19}+\zeta_{64}^{28})q^{3}+\cdots$
2056.1.be.a	$2056$	$1$	2056.be	2056.ae	$128$	$64$	$1$	$1.026$	$\Q(\zeta_{128})$	$D_{128}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{128}^{40}q^{2}+(\zeta_{128}^{28}-\zeta_{128}^{35})q^{3}+\cdots$
2059.1.x.a	$2059$	$1$	2059.x	2059.x	$14$	$42$	$7$	$1.028$	$\Q(\zeta_{98})$	$D_{49}$	$\Q(\sqrt{-71}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{98}+\zeta_{98}^{6})q^{2}+(-\zeta_{98}^{11}+\zeta_{98}^{24}+\cdots)q^{3}+\cdots$
2059.1.bh.a	$2059$	$1$	2059.bh	2059.ah	$14$	$42$	$7$	$1.028$	$\Q(\zeta_{98})$	$D_{98}$	$\Q(\sqrt{-71}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{98}+\zeta_{98}^{6})q^{2}+(-\zeta_{98}^{11}-\zeta_{98}^{24}+\cdots)q^{3}+\cdots$
2060.1.bn.a	$2060$	$1$	2060.bn	2060.an	$102$	$32$	$1$	$1.028$	$\Q(\zeta_{51})$	$D_{51}$	$\Q(\sqrt{-5}) $	None		$4$	$0$	$-1$	$-2$	$1$	$1$	$1$		$q-\zeta_{102}^{22}q^{2}+(-\zeta_{102}^{14}+\zeta_{102}^{25}+\cdots)q^{3}+\cdots$
2060.1.bn.b	$2060$	$1$	2060.bn	2060.an	$102$	$32$	$1$	$1.028$	$\Q(\zeta_{51})$	$D_{51}$	$\Q(\sqrt{-5}) $	None		$4$	$0$	$1$	$2$	$1$	$-1$	$1$		$q+\zeta_{102}^{22}q^{2}+(\zeta_{102}^{14}-\zeta_{102}^{25})q^{3}+\cdots$
2061.1.bn.a	$2061$	$1$	2061.bn	229.j	$76$	$36$	$1$	$1.029$	$\Q(\zeta_{76})$	$D_{76}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$2$	$1$		$q-\zeta_{76}^{23}q^{4}+(-\zeta_{76}^{17}+\zeta_{76}^{26}+\cdots)q^{7}+\cdots$
2068.1.r.a	$2068$	$1$	2068.r	517.k	$46$	$44$	$2$	$1.032$	$\Q(\zeta_{69})$	$D_{69}$	$\Q(\sqrt{-11}) $	None		$4$	$0$	$0$	$2$	$2$	$0$	$23$		$q+(\zeta_{138}^{28}-\zeta_{138}^{35})q^{3}+(\zeta_{138}^{4}+\zeta_{138}^{44}+\cdots)q^{5}+\cdots$
2073.1.t.a	$2073$	$1$	2073.t	2073.t	$46$	$22$	$1$	$1.035$	$\Q(\zeta_{46})$	$D_{23}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$-1$	$0$	$-2$	$1$		$q+\zeta_{46}^{12}q^{3}+\zeta_{46}^{16}q^{4}+(-\zeta_{46}^{11}+\cdots)q^{7}+\cdots$
2073.1.z.a	$2073$	$1$	2073.z	2073.z	$230$	$88$	$1$	$1.035$	$\Q(\zeta_{115})$	$D_{115}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$1$	$0$	$2$	$1$		$q-\zeta_{230}^{77}q^{3}-\zeta_{230}^{49}q^{4}+(-\zeta_{230}^{47}+\cdots)q^{7}+\cdots$
2077.1.cg.a	$2077$	$1$	2077.cg	2077.bg	$66$	$60$	$3$	$1.037$	$\Q(\zeta_{99})$	$D_{99}$	$\Q(\sqrt{-31}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{198}^{4}-\zeta_{198}^{11})q^{2}+(\zeta_{198}^{8}-\zeta_{198}^{15}+\cdots)q^{4}+\cdots$
2084.1.z.a	$2084$	$1$	2084.z	2084.z	$130$	$48$	$1$	$1.040$	$\Q(\zeta_{65})$	$D_{65}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$1$	$0$	$-3$	$0$	$1$		$q+\zeta_{130}^{14}q^{2}+\zeta_{130}^{28}q^{4}+(\zeta_{130}^{2}+\zeta_{130}^{50}+\cdots)q^{5}+\cdots$
2084.1.bb.a	$2084$	$1$	2084.bb	2084.ab	$130$	$48$	$1$	$1.040$	$\Q(\zeta_{65})$	$D_{130}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$1$	$0$	$-3$	$0$	$1$		$q+\zeta_{130}^{16}q^{2}+\zeta_{130}^{32}q^{4}+(\zeta_{130}^{20}+\cdots)q^{5}+\cdots$
2085.1.bb.a	$2085$	$1$	2085.bb	2085.ab	$46$	$22$	$1$	$1.041$	$\Q(\zeta_{46})$	$D_{23}$	$\Q(\sqrt{-15}) $	None		$4$	$0$	$-2$	$-1$	$-1$	$0$	$1$		$q+(\zeta_{46}^{6}-\zeta_{46}^{11})q^{2}-\zeta_{46}^{15}q^{3}+\cdots$
2085.1.bb.b	$2085$	$1$	2085.bb	2085.ab	$46$	$22$	$1$	$1.041$	$\Q(\zeta_{46})$	$D_{23}$	$\Q(\sqrt{-15}) $	None		$4$	$0$	$2$	$1$	$1$	$0$	$1$		$q+(-\zeta_{46}^{6}+\zeta_{46}^{11})q^{2}+\zeta_{46}^{15}q^{3}+\cdots$
2085.1.bp.a	$2085$	$1$	2085.bp	2085.ap	$138$	$44$	$1$	$1.041$	$\Q(\zeta_{69})$	$D_{69}$	$\Q(\sqrt{-15}) $	None		$4$	$0$	$-1$	$1$	$1$	$0$	$1$		$q+(-\zeta_{138}^{39}-\zeta_{138}^{61})q^{2}-\zeta_{138}^{49}q^{3}+\cdots$
2085.1.bp.b	$2085$	$1$	2085.bp	2085.ap	$138$	$44$	$1$	$1.041$	$\Q(\zeta_{69})$	$D_{69}$	$\Q(\sqrt{-15}) $	None		$4$	$0$	$1$	$-1$	$-1$	$0$	$1$		$q+(\zeta_{138}^{39}+\zeta_{138}^{61})q^{2}+\zeta_{138}^{49}q^{3}+\cdots$
2088.1.cn.a	$2088$	$1$	2088.cn	232.u	$28$	$24$	$2$	$1.042$	$\Q(\zeta_{56})$	$D_{28}$	$\Q(\sqrt{-6}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{56}^{5}q^{2}+\zeta_{56}^{10}q^{4}+(-\zeta_{56}^{3}+\cdots)q^{5}+\cdots$
2101.1.bq.a	$2101$	$1$	2101.bq	2101.aq	$190$	$72$	$1$	$1.049$	$\Q(\zeta_{95})$	$D_{95}$	$\Q(\sqrt{-11}) $	None		$4$	$0$	$0$	$2$	$-8$	$0$	$1$		$q+(\zeta_{190}^{8}+\zeta_{190}^{74})q^{3}+\zeta_{190}^{18}q^{4}+\cdots$
2111.1.b.b	$2111$	$1$	2111.b	2111.b	$2$	$21$	$21$	$1.054$	$\Q(\zeta_{98})^+$	$D_{49}$	$\Q(\sqrt{-2111}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\beta _{19}q^{2}-\beta _{5}q^{3}+(1-\beta _{11})q^{4}+(-\beta _{2}+\cdots)q^{5}+\cdots$
2115.1.bf.a	$2115$	$1$	2115.bf	235.j	$46$	$22$	$1$	$1.056$	$\Q(\zeta_{46})$	$D_{46}$	$\Q(\sqrt{-15}) $	None		$4$	$0$	$0$	$0$	$-1$	$0$	$1$		$q+(\zeta_{46}^{14}+\zeta_{46}^{21})q^{2}+(-\zeta_{46}^{5}-\zeta_{46}^{12}+\cdots)q^{4}+\cdots$
2115.1.bf.b	$2115$	$1$	2115.bf	235.j	$46$	$22$	$1$	$1.056$	$\Q(\zeta_{46})$	$D_{46}$	$\Q(\sqrt{-15}) $	None		$4$	$0$	$0$	$0$	$1$	$0$	$1$		$q+(-\zeta_{46}^{14}-\zeta_{46}^{21})q^{2}+(-\zeta_{46}^{5}+\cdots)q^{4}+\cdots$
2120.1.bp.a	$2120$	$1$	2120.bp	2120.ap	$26$	$24$	$2$	$1.058$	$\Q(\zeta_{52})$	$D_{26}$	$\Q(\sqrt{-10}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{52}^{5}q^{2}+\zeta_{52}^{10}q^{4}-\zeta_{52}q^{5}+\cdots$
2127.1.n.a	$2127$	$1$	2127.n	2127.n	$118$	$58$	$1$	$1.062$	$\Q(\zeta_{118})$	$D_{118}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$1$	$0$	$-2$	$1$		$q+\zeta_{118}^{5}q^{3}+\zeta_{118}^{57}q^{4}+(\zeta_{118}^{30}-\zeta_{118}^{43}+\cdots)q^{7}+\cdots$
2127.1.p.a	$2127$	$1$	2127.p	2127.p	$118$	$58$	$1$	$1.062$	$\Q(\zeta_{118})$	$D_{59}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$-1$	$0$	$-2$	$1$		$q+\zeta_{118}^{26}q^{3}-\zeta_{118}^{25}q^{4}+(-\zeta_{118}^{23}+\cdots)q^{7}+\cdots$
2132.1.ea.a	$2132$	$1$	2132.ea	2132.da	$120$	$32$	$1$	$1.064$	$\Q(\zeta_{120})$	$D_{120}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{120}^{46}q^{2}-\zeta_{120}^{32}q^{4}+(\zeta_{120}+\zeta_{120}^{23}+\cdots)q^{5}+\cdots$
2132.1.eg.a	$2132$	$1$	2132.eg	2132.dg	$120$	$32$	$1$	$1.064$	$\Q(\zeta_{120})$	$D_{120}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$4$	$0$	$0$	$0$	$1$		$q+\zeta_{120}^{8}q^{2}+\zeta_{120}^{16}q^{4}+(-\zeta_{120}^{13}+\cdots)q^{5}+\cdots$
2133.1.bt.a	$2133$	$1$	2133.bt	237.o	$78$	$24$	$1$	$1.065$	$\Q(\zeta_{39})$	$D_{39}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$-1$	$1$		$q-\zeta_{78}^{35}q^{4}+(-\zeta_{78}^{27}-\zeta_{78}^{37}+\cdots)q^{7}+\cdots$
2133.1.bw.a	$2133$	$1$	2133.bw	79.h	$78$	$24$	$1$	$1.065$	$\Q(\zeta_{39})$	$D_{78}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$-3$	$1$		$q-\zeta_{78}^{16}q^{4}+(-\zeta_{78}^{8}-\zeta_{78}^{9})q^{7}+\cdots$
2136.1.ce.a	$2136$	$1$	2136.ce	2136.be	$88$	$40$	$1$	$1.066$	$\Q(\zeta_{88})$	$D_{88}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$-4$	$0$	$0$	$1$		$q+\zeta_{88}^{38}q^{2}-\zeta_{88}^{4}q^{3}-\zeta_{88}^{32}q^{4}+\cdots$
2136.1.ce.b	$2136$	$1$	2136.ce	2136.be	$88$	$40$	$1$	$1.066$	$\Q(\zeta_{88})$	$D_{88}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{88}^{38}q^{2}-\zeta_{88}^{31}q^{3}-\zeta_{88}^{32}q^{4}+\cdots$
2139.1.bk.a	$2139$	$1$	2139.bk	2139.ak	$30$	$24$	$3$	$1.068$	$\Q(\zeta_{45})$	$D_{90}$	$\Q(\sqrt{-23}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{90}^{28}-\zeta_{90}^{35})q^{2}-\zeta_{90}^{19}q^{3}+\cdots$
2139.1.bk.b	$2139$	$1$	2139.bk	2139.ak	$30$	$24$	$3$	$1.068$	$\Q(\zeta_{45})$	$D_{90}$	$\Q(\sqrt{-23}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{90}^{28}+\zeta_{90}^{35})q^{2}+\zeta_{90}^{23}q^{3}+\cdots$

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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.