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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 78 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
723.1.bc.a	$723$	$1$	723.bc	723.ac	$40$	$16$	$1$	$0.361$	$\Q(\zeta_{40})$	$D_{40}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{40}^{13}q^{3}+\zeta_{40}^{10}q^{4}+(-\zeta_{40}+\cdots)q^{7}+\cdots$
799.1.h.b	$799$	$1$	799.h	799.h	$8$	$16$	$4$	$0.399$	$\Q(\zeta_{40})$	$D_{40}$	$\Q(\sqrt{-47}) $	None		$4$	$0$	$0$	$-4$	$0$	$0$	$1$		$q+(\zeta_{40}^{11}-\zeta_{40}^{19})q^{2}+(-\zeta_{40}^{7}+\zeta_{40}^{8}+\cdots)q^{3}+\cdots$
820.1.by.a	$820$	$1$	820.by	820.ay	$40$	$16$	$1$	$0.409$	$\Q(\zeta_{40})$	$D_{40}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{40}^{6}q^{2}+\zeta_{40}^{12}q^{4}+\zeta_{40}q^{5}+\cdots$
820.1.bz.a	$820$	$1$	820.bz	820.az	$40$	$16$	$1$	$0.409$	$\Q(\zeta_{40})$	$D_{40}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$4$	$0$	$0$	$0$	$1$		$q-\zeta_{40}^{8}q^{2}+\zeta_{40}^{16}q^{4}-\zeta_{40}^{9}q^{5}+\cdots$
984.1.cj.a	$984$	$1$	984.cj	984.bj	$40$	$16$	$1$	$0.491$	$\Q(\zeta_{40})$	$D_{40}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$-4$	$0$	$0$	$1$		$q-\zeta_{40}^{13}q^{2}+\zeta_{40}^{8}q^{3}-\zeta_{40}^{6}q^{4}+\cdots$
984.1.cj.b	$984$	$1$	984.cj	984.bj	$40$	$16$	$1$	$0.491$	$\Q(\zeta_{40})$	$D_{40}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{40}^{13}q^{2}+\zeta_{40}^{17}q^{3}-\zeta_{40}^{6}q^{4}+\cdots$
1312.1.da.a	$1312$	$1$	1312.da	41.h	$40$	$16$	$1$	$0.655$	$\Q(\zeta_{40})$	$D_{40}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{40}^{7}+\zeta_{40}^{19})q^{5}-\zeta_{40}^{5}q^{9}+(\zeta_{40}^{2}+\cdots)q^{13}+\cdots$
1476.1.cc.a	$1476$	$1$	1476.cc	492.ae	$40$	$16$	$1$	$0.737$	$\Q(\zeta_{40})$	$D_{40}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$-4$	$0$	$1$		$q+\zeta_{40}^{13}q^{2}-\zeta_{40}^{6}q^{4}+(\zeta_{40}^{8}+\zeta_{40}^{14}+\cdots)q^{5}+\cdots$
1476.1.cc.b	$1476$	$1$	1476.cc	492.ae	$40$	$16$	$1$	$0.737$	$\Q(\zeta_{40})$	$D_{40}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$4$	$0$	$1$		$q-\zeta_{40}^{13}q^{2}-\zeta_{40}^{6}q^{4}+(-\zeta_{40}^{8}+\cdots)q^{5}+\cdots$
1496.1.cn.a	$1496$	$1$	1496.cn	1496.bn	$40$	$16$	$1$	$0.747$	$\Q(\zeta_{40})$	$D_{40}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{40}^{17}q^{2}+(-\zeta_{40}^{9}-\zeta_{40}^{18})q^{3}+\cdots$
1496.1.cn.b	$1496$	$1$	1496.cn	1496.bn	$40$	$16$	$1$	$0.747$	$\Q(\zeta_{40})$	$D_{40}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{40}^{17}q^{2}+(\zeta_{40}^{13}+\zeta_{40}^{14})q^{3}+\cdots$
1504.1.o.b	$1504$	$1$	1504.o	1504.o	$8$	$16$	$4$	$0.751$	$\Q(\zeta_{40})$	$D_{40}$	$\Q(\sqrt{-47}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{40}^{6}q^{2}+(-\zeta_{40}^{2}-\zeta_{40}^{13})q^{3}+\cdots$
1599.1.cq.a	$1599$	$1$	1599.cq	1599.bq	$20$	$32$	$4$	$0.798$	$\Q(\zeta_{80})$	$D_{40}$	$\Q(\sqrt{-39}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{80}^{17}-\zeta_{80}^{31})q^{2}+\zeta_{80}^{30}q^{3}+\cdots$
1700.1.cf.a	$1700$	$1$	1700.cf	1700.bf	$40$	$16$	$1$	$0.848$	$\Q(\zeta_{40})$	$D_{40}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{40}^{17}q^{2}-\zeta_{40}^{14}q^{4}-\zeta_{40}^{11}q^{5}+\cdots$
1700.1.cf.b	$1700$	$1$	1700.cf	1700.bf	$40$	$16$	$1$	$0.848$	$\Q(\zeta_{40})$	$D_{40}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{40}^{17}q^{2}-\zeta_{40}^{14}q^{4}+\zeta_{40}^{6}q^{5}+\cdots$
1751.1.l.b	$1751$	$1$	1751.l	1751.l	$8$	$16$	$4$	$0.874$	$\Q(\zeta_{40})$	$D_{40}$	$\Q(\sqrt{-103}) $	None		$4$	$0$	$4$	$0$	$0$	$0$	$1$		$q+(\zeta_{40}^{12}+\zeta_{40}^{18})q^{2}+(-\zeta_{40}^{4}-\zeta_{40}^{10}+\cdots)q^{4}+\cdots$
1928.1.cf.a	$1928$	$1$	1928.cf	1928.bf	$40$	$16$	$1$	$0.962$	$\Q(\zeta_{40})$	$D_{40}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{40}^{5}q^{2}+(-\zeta_{40}^{3}+\zeta_{40}^{11})q^{3}+\cdots$
2132.1.dh.a	$2132$	$1$	2132.dh	2132.ch	$40$	$16$	$1$	$1.064$	$\Q(\zeta_{40})$	$D_{40}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{40}^{18}q^{2}-\zeta_{40}^{16}q^{4}+(\zeta_{40}^{13}+\cdots)q^{5}+\cdots$
2132.1.dn.a	$2132$	$1$	2132.dn	2132.cn	$40$	$16$	$1$	$1.064$	$\Q(\zeta_{40})$	$D_{40}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$-4$	$0$	$0$	$0$	$1$		$q-\zeta_{40}^{12}q^{2}-\zeta_{40}^{4}q^{4}+(-\zeta_{40}+\zeta_{40}^{7}+\cdots)q^{5}+\cdots$
2145.1.ec.a	$2145$	$1$	2145.ec	2145.dc	$20$	$32$	$4$	$1.070$	$\Q(\zeta_{80})$	$D_{40}$	$\Q(\sqrt{-39}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{80}^{17}-\zeta_{80}^{35})q^{2}-\zeta_{80}^{38}q^{3}+\cdots$
2145.1.ec.b	$2145$	$1$	2145.ec	2145.dc	$20$	$32$	$4$	$1.070$	$\Q(\zeta_{80})$	$D_{40}$	$\Q(\sqrt{-39}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{80}^{17}+\zeta_{80}^{35})q^{2}-\zeta_{80}^{18}q^{3}+\cdots$
2159.1.l.b	$2159$	$1$	2159.l	2159.l	$8$	$16$	$4$	$1.077$	$\Q(\zeta_{40})$	$D_{40}$	$\Q(\sqrt{-127}) $	None		$4$	$0$	$-4$	$0$	$0$	$0$	$1$		$q+(\zeta_{40}^{14}+\zeta_{40}^{16})q^{2}+(-\zeta_{40}^{8}-\zeta_{40}^{10}+\cdots)q^{4}+\cdots$
2460.1.dt.a	$2460$	$1$	2460.dt	2460.ct	$40$	$16$	$1$	$1.228$	$\Q(\zeta_{40})$	$D_{40}$	$\Q(\sqrt{-5}) $	None		$4$	$0$	$0$	$-4$	$0$	$4$	$1$		$q-\zeta_{40}^{7}q^{2}-\zeta_{40}^{4}q^{3}+\zeta_{40}^{14}q^{4}+\cdots$
2460.1.dt.b	$2460$	$1$	2460.dt	2460.ct	$40$	$16$	$1$	$1.228$	$\Q(\zeta_{40})$	$D_{40}$	$\Q(\sqrt{-5}) $	None		$4$	$0$	$0$	$0$	$0$	$-4$	$1$		$q-\zeta_{40}^{7}q^{2}+\zeta_{40}^{11}q^{3}+\zeta_{40}^{14}q^{4}+\cdots$
2460.1.dt.c	$2460$	$1$	2460.dt	2460.ct	$40$	$16$	$1$	$1.228$	$\Q(\zeta_{40})$	$D_{40}$	$\Q(\sqrt{-5}) $	None		$4$	$0$	$0$	$0$	$0$	$4$	$1$		$q+\zeta_{40}^{7}q^{2}-\zeta_{40}^{11}q^{3}+\zeta_{40}^{14}q^{4}+\cdots$
2460.1.dt.d	$2460$	$1$	2460.dt	2460.ct	$40$	$16$	$1$	$1.228$	$\Q(\zeta_{40})$	$D_{40}$	$\Q(\sqrt{-5}) $	None		$4$	$0$	$0$	$4$	$0$	$-4$	$1$		$q+\zeta_{40}^{7}q^{2}+\zeta_{40}^{4}q^{3}+\zeta_{40}^{14}q^{4}+\cdots$
2464.1.ec.a	$2464$	$1$	2464.ec	2464.dc	$40$	$16$	$1$	$1.230$	$\Q(\zeta_{40})$	$D_{40}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{40}q^{2}+\zeta_{40}^{2}q^{4}-\zeta_{40}^{9}q^{7}-\zeta_{40}^{3}q^{8}+\cdots$
2464.1.ec.b	$2464$	$1$	2464.ec	2464.dc	$40$	$16$	$1$	$1.230$	$\Q(\zeta_{40})$	$D_{40}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{40}^{13}q^{2}-\zeta_{40}^{6}q^{4}+\zeta_{40}^{9}q^{7}+\cdots$
2464.1.ef.a	$2464$	$1$	2464.ef	2464.df	$40$	$16$	$1$	$1.230$	$\Q(\zeta_{40})$	$D_{40}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{40}^{9}q^{2}+\zeta_{40}^{18}q^{4}+\zeta_{40}^{17}q^{7}+\cdots$
2464.1.ef.b	$2464$	$1$	2464.ef	2464.df	$40$	$16$	$1$	$1.230$	$\Q(\zeta_{40})$	$D_{40}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{40}^{13}q^{2}-\zeta_{40}^{6}q^{4}+\zeta_{40}^{17}q^{7}+\cdots$
2528.1.x.b	$2528$	$1$	2528.x	2528.x	$8$	$16$	$4$	$1.262$	$\Q(\zeta_{40})$	$D_{40}$	$\Q(\sqrt{-79}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{40}^{2}q^{2}+\zeta_{40}^{4}q^{4}+(-\zeta_{40}^{11}+\cdots)q^{5}+\cdots$
2564.1.s.a	$2564$	$1$	2564.s	2564.s	$40$	$16$	$1$	$1.280$	$\Q(\zeta_{40})$	$D_{40}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{40}^{5}q^{2}+\zeta_{40}^{10}q^{4}+(-\zeta_{40}^{3}+\cdots)q^{5}+\cdots$
2605.1.bd.a	$2605$	$1$	2605.bd	2605.ad	$40$	$16$	$1$	$1.300$	$\Q(\zeta_{40})$	$D_{40}$	None	$\Q(\sqrt{5}) $		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{40}^{14}q^{4}-\zeta_{40}^{18}q^{5}+\zeta_{40}^{3}q^{9}+\cdots$
2624.1.dq.a	$2624$	$1$	2624.dq	41.h	$40$	$16$	$1$	$1.310$	$\Q(\zeta_{40})$	$D_{40}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{40}^{3}+\zeta_{40}^{19})q^{5}-\zeta_{40}^{5}q^{9}+\cdots$
2624.1.dr.a	$2624$	$1$	2624.dr	328.af	$40$	$16$	$1$	$1.310$	$\Q(\zeta_{40})$	$D_{40}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{40}+\zeta_{40}^{14})q^{3}+(\zeta_{40}^{2}-\zeta_{40}^{8}+\cdots)q^{9}+\cdots$
2624.1.dr.b	$2624$	$1$	2624.dr	328.af	$40$	$16$	$1$	$1.310$	$\Q(\zeta_{40})$	$D_{40}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{40}-\zeta_{40}^{14})q^{3}+(\zeta_{40}^{2}-\zeta_{40}^{8}+\cdots)q^{9}+\cdots$
2775.1.bi.a	$2775$	$1$	2775.bi	2775.ai	$10$	$32$	$8$	$1.385$	$\Q(\zeta_{80})$	$D_{40}$	$\Q(\sqrt{-111}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{80}^{17}-\zeta_{80}^{31})q^{2}+\zeta_{80}^{28}q^{3}+\cdots$
2788.1.dk.a	$2788$	$1$	2788.dk	2788.ck	$40$	$16$	$1$	$1.391$	$\Q(\zeta_{40})$	$D_{40}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$-4$	$0$	$1$		$q+\zeta_{40}^{3}q^{2}+\zeta_{40}^{6}q^{4}+(\zeta_{40}^{8}+\zeta_{40}^{19}+\cdots)q^{5}+\cdots$
2788.1.dk.b	$2788$	$1$	2788.dk	2788.ck	$40$	$16$	$1$	$1.391$	$\Q(\zeta_{40})$	$D_{40}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$-4$	$0$	$1$		$q-\zeta_{40}^{3}q^{2}+\zeta_{40}^{6}q^{4}+(\zeta_{40}^{3}-\zeta_{40}^{4}+\cdots)q^{5}+\cdots$
2788.1.dr.a	$2788$	$1$	2788.dr	2788.cr	$40$	$16$	$1$	$1.391$	$\Q(\zeta_{40})$	$D_{40}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$4$	$0$	$1$		$q-\zeta_{40}^{17}q^{2}-\zeta_{40}^{14}q^{4}+(-\zeta_{40}^{16}+\cdots)q^{5}+\cdots$
2788.1.dr.b	$2788$	$1$	2788.dr	2788.cr	$40$	$16$	$1$	$1.391$	$\Q(\zeta_{40})$	$D_{40}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$4$	$0$	$1$		$q+\zeta_{40}^{17}q^{2}-\zeta_{40}^{14}q^{4}+(-\zeta_{40}+\cdots)q^{5}+\cdots$
2807.1.be.a	$2807$	$1$	2807.be	2807.ae	$40$	$16$	$1$	$1.401$	$\Q(\zeta_{40})$	$D_{40}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{40}^{15}-\zeta_{40}^{19})q^{2}+(-\zeta_{40}^{10}+\cdots)q^{4}+\cdots$
2829.1.bn.a	$2829$	$1$	2829.bn	2829.an	$40$	$16$	$1$	$1.412$	$\Q(\zeta_{40})$	$D_{40}$	$\Q(\sqrt{-23}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{40}-\zeta_{40}^{5})q^{2}-\zeta_{40}^{6}q^{3}+(\zeta_{40}^{2}+\cdots)q^{4}+\cdots$
2829.1.bn.b	$2829$	$1$	2829.bn	2829.an	$40$	$16$	$1$	$1.412$	$\Q(\zeta_{40})$	$D_{40}$	$\Q(\sqrt{-23}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{40}+\zeta_{40}^{5})q^{2}+\zeta_{40}^{19}q^{3}+\cdots$
2925.1.er.a	$2925$	$1$	2925.er	325.ac	$20$	$32$	$4$	$1.460$	$\Q(\zeta_{80})$	$D_{40}$	$\Q(\sqrt{-39}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{80}^{17}-\zeta_{80}^{35})q^{2}+(\zeta_{80}^{12}-\zeta_{80}^{30}+\cdots)q^{4}+\cdots$
3043.1.g.b	$3043$	$1$	3043.g	3043.g	$8$	$16$	$4$	$1.519$	$\Q(\zeta_{40})$	$D_{40}$	$\Q(\sqrt{-179}) $	None		$4$	$0$	$0$	$4$	$0$	$0$	$1$		$q+(\zeta_{40}^{3}+\zeta_{40}^{12})q^{3}+\zeta_{40}^{10}q^{4}+\cdots$
3135.1.bs.a	$3135$	$1$	3135.bs	3135.as	$10$	$32$	$8$	$1.565$	$\Q(\zeta_{80})$	$D_{40}$	$\Q(\sqrt{-95}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{80}^{21}-\zeta_{80}^{27})q^{2}-\zeta_{80}^{31}q^{3}+\cdots$
3135.1.bs.b	$3135$	$1$	3135.bs	3135.as	$10$	$32$	$8$	$1.565$	$\Q(\zeta_{80})$	$D_{40}$	$\Q(\sqrt{-95}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{80}^{27}-\zeta_{80}^{29})q^{2}-\zeta_{80}^{31}q^{3}+\cdots$
3208.1.bj.a	$3208$	$1$	3208.bj	3208.aj	$40$	$16$	$1$	$1.601$	$\Q(\zeta_{40})$	$D_{40}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{40}^{13}q^{2}+(-\zeta_{40}^{6}-\zeta_{40}^{15})q^{3}+\cdots$
3280.1.hh.a	$3280$	$1$	3280.hh	820.ay	$40$	$16$	$1$	$1.637$	$\Q(\zeta_{40})$	$D_{40}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{40}^{9}q^{5}-\zeta_{40}^{15}q^{9}+(\zeta_{40}^{14}-\zeta_{40}^{17}+\cdots)q^{13}+\cdots$

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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.