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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 88 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
364.1.d.a	$364$	$1$	364.d	91.b	$2$	$1$	$1$	$0.182$	$\Q$	$D_{3}$	$\Q(\sqrt{-91}) $	None	✓	$2$	$0$	$0$	$0$	$-1$	$1$	$1$		$q-q^{5}+q^{7}+q^{9}+q^{13}-q^{19}-q^{23}+\cdots$
364.1.d.b	$364$	$1$	364.d	91.b	$2$	$1$	$1$	$0.182$	$\Q$	$D_{3}$	$\Q(\sqrt{-91}) $	None	✓	$2$	$0$	$0$	$0$	$1$	$-1$	$1$		$q+q^{5}-q^{7}+q^{9}-q^{13}+q^{19}-q^{23}+\cdots$
455.1.h.c	$455$	$1$	455.h	455.h	$2$	$2$	$2$	$0.227$	$\Q(\sqrt{-1}) $	$D_{2}$	$\Q(\sqrt{-35}) $, $\Q(\sqrt{-91}) $	$\Q(\sqrt{65}) $		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q-q^{4}-iq^{5}-iq^{7}-q^{9}-iq^{13}+\cdots$
819.1.d.a	$819$	$1$	819.d	91.b	$2$	$1$	$1$	$0.409$	$\Q$	$D_{2}$	$\Q(\sqrt{-3}) $, $\Q(\sqrt{-91}) $	$\Q(\sqrt{273}) $	✓	$4$	$0$	$0$	$0$	$0$	$-1$	$1$		$q+q^{4}-q^{7}+q^{13}+q^{16}+2q^{19}+\cdots$
819.1.d.b	$819$	$1$	819.d	91.b	$2$	$1$	$1$	$0.409$	$\Q$	$D_{2}$	$\Q(\sqrt{-3}) $, $\Q(\sqrt{-91}) $	$\Q(\sqrt{273}) $	✓	$4$	$0$	$0$	$0$	$0$	$1$	$1$		$q+q^{4}+q^{7}-q^{13}+q^{16}-2q^{19}+\cdots$
1456.1.f.a	$1456$	$1$	1456.f	91.b	$2$	$1$	$1$	$0.727$	$\Q$	$D_{3}$	$\Q(\sqrt{-91}) $	None	✓	$2$	$0$	$0$	$0$	$-1$	$-1$	$1$		$q-q^{5}-q^{7}+q^{9}+q^{13}+q^{19}+q^{23}+\cdots$
1456.1.f.b	$1456$	$1$	1456.f	91.b	$2$	$1$	$1$	$0.727$	$\Q$	$D_{3}$	$\Q(\sqrt{-91}) $	None	✓	$2$	$0$	$0$	$0$	$1$	$1$	$1$		$q+q^{5}+q^{7}+q^{9}-q^{13}-q^{19}+q^{23}+\cdots$
1729.1.dk.a	$1729$	$1$	1729.dk	1729.ck	$6$	$2$	$1$	$0.863$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-91}) $	None		$4$	$0$	$0$	$0$	$-1$	$-2$	$1$		$q-\zeta_{6}q^{4}+\zeta_{6}^{2}q^{5}-q^{7}-\zeta_{6}q^{9}+\zeta_{6}q^{13}+\cdots$
1729.1.dk.b	$1729$	$1$	1729.dk	1729.ck	$6$	$2$	$1$	$0.863$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-91}) $	None		$4$	$0$	$0$	$0$	$1$	$2$	$1$		$q-\zeta_{6}q^{4}-\zeta_{6}^{2}q^{5}+q^{7}-\zeta_{6}q^{9}-\zeta_{6}q^{13}+\cdots$
1729.1.iv.a	$1729$	$1$	1729.iv	1729.hv	$18$	$6$	$1$	$0.863$	$\Q(\zeta_{18})$	$D_{9}$	$\Q(\sqrt{-91}) $	None		$4$	$0$	$0$	$0$	$-3$	$-3$	$1$		$q-\zeta_{18}^{5}q^{4}+(\zeta_{18}^{2}+\zeta_{18}^{6})q^{5}+\zeta_{18}^{6}q^{7}+\cdots$
1729.1.iv.b	$1729$	$1$	1729.iv	1729.hv	$18$	$6$	$1$	$0.863$	$\Q(\zeta_{18})$	$D_{9}$	$\Q(\sqrt{-91}) $	None		$4$	$0$	$0$	$0$	$3$	$3$	$1$		$q-\zeta_{18}^{5}q^{4}+(-\zeta_{18}^{2}-\zeta_{18}^{6})q^{5}+\cdots$
1820.1.m.a	$1820$	$1$	1820.m	455.h	$2$	$4$	$4$	$0.908$	$\Q(\zeta_{12})$	$D_{6}$	$\Q(\sqrt{-91}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{12}q^{5}+\zeta_{12}^{3}q^{7}-q^{9}+\zeta_{12}^{3}q^{13}+\cdots$
2093.1.co.a	$2093$	$1$	2093.co	2093.bo	$22$	$10$	$1$	$1.045$	$\Q(\zeta_{22})$	$D_{11}$	$\Q(\sqrt{-91}) $	None		$4$	$0$	$0$	$0$	$-9$	$1$	$1$		$q+\zeta_{22}^{8}q^{4}+(-1-\zeta_{22}^{4})q^{5}+\zeta_{22}^{5}q^{7}+\cdots$
2093.1.co.b	$2093$	$1$	2093.co	2093.bo	$22$	$10$	$1$	$1.045$	$\Q(\zeta_{22})$	$D_{11}$	$\Q(\sqrt{-91}) $	None		$4$	$0$	$0$	$0$	$9$	$-1$	$1$		$q+\zeta_{22}^{8}q^{4}+(1+\zeta_{22}^{4})q^{5}-\zeta_{22}^{5}q^{7}+\cdots$
2275.1.b.a	$2275$	$1$	2275.b	91.b	$2$	$1$	$1$	$1.135$	$\Q$	$D_{2}$	$\Q(\sqrt{-35}) $, $\Q(\sqrt{-91}) $	$\Q(\sqrt{65}) $	✓	$4$	$0$	$0$	$0$	$0$	$-1$	$1$		$q+q^{4}-q^{7}+q^{9}+q^{13}+q^{16}-q^{28}+\cdots$
2275.1.b.b	$2275$	$1$	2275.b	91.b	$2$	$1$	$1$	$1.135$	$\Q$	$D_{2}$	$\Q(\sqrt{-35}) $, $\Q(\sqrt{-91}) $	$\Q(\sqrt{65}) $	✓	$4$	$0$	$0$	$0$	$0$	$1$	$1$		$q+q^{4}+q^{7}+q^{9}-q^{13}+q^{16}+q^{28}+\cdots$
2275.1.cb.a	$2275$	$1$	2275.cb	2275.bb	$10$	$8$	$2$	$1.135$	$\Q(\zeta_{20})$	$D_{10}$	$\Q(\sqrt{-91}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{20}^{4}q^{4}+\zeta_{20}^{9}q^{5}+\zeta_{20}^{5}q^{7}+\cdots$
2275.1.ch.a	$2275$	$1$	2275.ch	2275.bh	$10$	$4$	$1$	$1.135$	$\Q(\zeta_{10})$	$D_{5}$	$\Q(\sqrt{-91}) $	None		$4$	$0$	$0$	$0$	$-1$	$4$	$1$		$q-\zeta_{10}^{3}q^{4}-\zeta_{10}^{3}q^{5}+q^{7}-\zeta_{10}q^{9}+\cdots$
2275.1.ch.b	$2275$	$1$	2275.ch	2275.bh	$10$	$4$	$1$	$1.135$	$\Q(\zeta_{10})$	$D_{5}$	$\Q(\sqrt{-91}) $	None		$4$	$0$	$0$	$0$	$1$	$-4$	$1$		$q-\zeta_{10}^{3}q^{4}+\zeta_{10}^{3}q^{5}-q^{7}-\zeta_{10}q^{9}+\cdots$
2548.1.bg.a	$2548$	$1$	2548.bg	91.s	$6$	$2$	$1$	$1.272$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-91}) $	None		$4$	$0$	$0$	$0$	$-1$	$0$	$1$		$q+\zeta_{6}^{2}q^{5}+\zeta_{6}^{2}q^{9}-q^{13}+\zeta_{6}^{2}q^{19}+\cdots$
2548.1.bg.b	$2548$	$1$	2548.bg	91.s	$6$	$2$	$1$	$1.272$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-91}) $	None		$4$	$0$	$0$	$0$	$1$	$0$	$1$		$q-\zeta_{6}^{2}q^{5}+\zeta_{6}^{2}q^{9}+q^{13}-\zeta_{6}^{2}q^{19}+\cdots$
2639.1.h.a	$2639$	$1$	2639.h	2639.h	$2$	$1$	$1$	$1.317$	$\Q$	$D_{2}$	$\Q(\sqrt{-91}) $, $\Q(\sqrt{-2639}) $	$\Q(\sqrt{29}) $	✓	$4$	$0$	$0$	$0$	$-2$	$-1$	$1$		$q-q^{4}-2q^{5}-q^{7}-q^{9}-q^{13}+q^{16}+\cdots$
2639.1.h.b	$2639$	$1$	2639.h	2639.h	$2$	$1$	$1$	$1.317$	$\Q$	$D_{2}$	$\Q(\sqrt{-91}) $, $\Q(\sqrt{-2639}) $	$\Q(\sqrt{29}) $	✓	$4$	$0$	$0$	$0$	$2$	$1$	$1$		$q-q^{4}+2q^{5}+q^{7}-q^{9}+q^{13}+q^{16}+\cdots$
2639.1.dx.a	$2639$	$1$	2639.dx	2639.cx	$14$	$6$	$1$	$1.317$	$\Q(\zeta_{14})$	$D_{14}$	$\Q(\sqrt{-91}) $	None		$4$	$0$	$0$	$0$	$-5$	$1$	$1$		$q-\zeta_{14}^{2}q^{4}+(-1-\zeta_{14}^{2})q^{5}+\zeta_{14}^{5}q^{7}+\cdots$
2639.1.dx.b	$2639$	$1$	2639.dx	2639.cx	$14$	$6$	$1$	$1.317$	$\Q(\zeta_{14})$	$D_{14}$	$\Q(\sqrt{-91}) $	None		$4$	$0$	$0$	$0$	$5$	$-1$	$1$		$q-\zeta_{14}^{2}q^{4}+(1+\zeta_{14}^{2})q^{5}-\zeta_{14}^{5}q^{7}+\cdots$
2639.1.ec.a	$2639$	$1$	2639.ec	2639.dc	$14$	$6$	$1$	$1.317$	$\Q(\zeta_{14})$	$D_{7}$	$\Q(\sqrt{-91}) $	None		$4$	$0$	$0$	$0$	$-5$	$1$	$1$		$q-\zeta_{14}^{3}q^{4}+(-1+\zeta_{14}^{3})q^{5}-\zeta_{14}^{4}q^{7}+\cdots$
2639.1.ec.b	$2639$	$1$	2639.ec	2639.dc	$14$	$6$	$1$	$1.317$	$\Q(\zeta_{14})$	$D_{7}$	$\Q(\sqrt{-91}) $	None		$4$	$0$	$0$	$0$	$5$	$-1$	$1$		$q-\zeta_{14}^{3}q^{4}+(1-\zeta_{14}^{3})q^{5}+\zeta_{14}^{4}q^{7}+\cdots$
2821.1.bj.a	$2821$	$1$	2821.bj	2821.aj	$6$	$2$	$1$	$1.408$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-91}) $	None		$4$	$0$	$0$	$0$	$-2$	$-1$	$1$		$q+q^{4}+\zeta_{6}^{2}q^{5}-\zeta_{6}q^{7}+\zeta_{6}^{2}q^{9}+\cdots$
2821.1.bj.b	$2821$	$1$	2821.bj	2821.aj	$6$	$2$	$1$	$1.408$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-91}) $	None		$4$	$0$	$0$	$0$	$2$	$1$	$1$		$q+q^{4}-\zeta_{6}^{2}q^{5}+\zeta_{6}q^{7}+\zeta_{6}^{2}q^{9}+\cdots$
2821.1.et.a	$2821$	$1$	2821.et	2821.dt	$10$	$4$	$1$	$1.408$	$\Q(\zeta_{10})$	$D_{5}$	$\Q(\sqrt{-91}) $	None		$4$	$0$	$0$	$0$	$-2$	$-1$	$1$		$q-\zeta_{10}^{3}q^{4}+(-\zeta_{10}+\zeta_{10}^{4})q^{5}-\zeta_{10}^{3}q^{7}+\cdots$
2821.1.et.b	$2821$	$1$	2821.et	2821.dt	$10$	$4$	$1$	$1.408$	$\Q(\zeta_{10})$	$D_{5}$	$\Q(\sqrt{-91}) $	None		$4$	$0$	$0$	$0$	$2$	$1$	$1$		$q-\zeta_{10}^{3}q^{4}+(\zeta_{10}-\zeta_{10}^{4})q^{5}+\zeta_{10}^{3}q^{7}+\cdots$
2821.1.km.a	$2821$	$1$	2821.km	2821.jm	$30$	$8$	$1$	$1.408$	$\Q(\zeta_{15})$	$D_{15}$	$\Q(\sqrt{-91}) $	None		$4$	$0$	$0$	$0$	$-2$	$-1$	$1$		$q-\zeta_{30}^{3}q^{4}+(\zeta_{30}^{11}-\zeta_{30}^{14})q^{5}+\cdots$
2821.1.km.b	$2821$	$1$	2821.km	2821.jm	$30$	$8$	$1$	$1.408$	$\Q(\zeta_{15})$	$D_{15}$	$\Q(\sqrt{-91}) $	None		$4$	$0$	$0$	$0$	$2$	$1$	$1$		$q-\zeta_{30}^{3}q^{4}+(-\zeta_{30}^{11}+\zeta_{30}^{14})q^{5}+\cdots$
3185.1.q.a	$3185$	$1$	3185.q	65.h	$4$	$4$	$2$	$1.590$	$\Q(\zeta_{8})$	$D_{4}$	$\Q(\sqrt{-91}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{8}^{2}q^{4}-\zeta_{8}^{3}q^{5}-\zeta_{8}^{2}q^{9}-\zeta_{8}^{3}q^{13}+\cdots$
3185.1.bf.c	$3185$	$1$	3185.bf	455.af	$6$	$4$	$2$	$1.590$	$\Q(\zeta_{12})$	$D_{2}$	$\Q(\sqrt{-35}) $, $\Q(\sqrt{-91}) $	$\Q(\sqrt{65}) $		$16$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{12}^{4}q^{4}+\zeta_{12}^{5}q^{5}+\zeta_{12}^{2}q^{9}+\cdots$
3185.1.cw.a	$3185$	$1$	3185.cw	455.bv	$12$	$8$	$2$	$1.590$	$\Q(\zeta_{24})$	$D_{4}$	$\Q(\sqrt{-91}) $	None		$16$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{24}^{2}q^{4}-\zeta_{24}^{7}q^{5}-\zeta_{24}^{10}q^{9}+\cdots$
3276.1.k.a	$3276$	$1$	3276.k	91.b	$2$	$1$	$1$	$1.635$	$\Q$	$D_{3}$	$\Q(\sqrt{-91}) $	None	✓	$2$	$0$	$0$	$0$	$-1$	$-1$	$1$		$q-q^{5}-q^{7}-q^{13}+q^{19}+q^{23}+q^{29}+\cdots$
3276.1.k.b	$3276$	$1$	3276.k	91.b	$2$	$1$	$1$	$1.635$	$\Q$	$D_{3}$	$\Q(\sqrt{-91}) $	None	✓	$2$	$0$	$0$	$0$	$1$	$1$	$1$		$q+q^{5}+q^{7}+q^{13}-q^{19}+q^{23}+q^{29}+\cdots$
3276.1.k.c	$3276$	$1$	3276.k	91.b	$2$	$2$	$2$	$1.635$	$\Q(\sqrt{3}) $	$D_{6}$	$\Q(\sqrt{-91}) $	None	✓	$4$	$0$	$0$	$0$	$0$	$-2$	$1$		$q-\beta q^{5}-q^{7}+q^{13}-q^{19}-\beta q^{23}+\cdots$
3276.1.k.d	$3276$	$1$	3276.k	91.b	$2$	$2$	$2$	$1.635$	$\Q(\sqrt{3}) $	$D_{6}$	$\Q(\sqrt{-91}) $	None	✓	$4$	$0$	$0$	$0$	$0$	$2$	$1$		$q-\beta q^{5}+q^{7}-q^{13}+q^{19}+\beta q^{23}+\cdots$
3731.1.e.a	$3731$	$1$	3731.e	3731.e	$2$	$2$	$2$	$1.862$	$\Q(\sqrt{-1}) $	$D_{2}$	$\Q(\sqrt{-91}) $, $\Q(\sqrt{-287}) $	$\Q(\sqrt{533}) $		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q+q^{4}-iq^{7}-q^{9}-iq^{13}+q^{16}+\cdots$
3731.1.w.a	$3731$	$1$	3731.w	3731.w	$4$	$4$	$2$	$1.862$	$\Q(\zeta_{8})$	$D_{4}$	$\Q(\sqrt{-91}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q-q^{4}+(-\zeta_{8}-\zeta_{8}^{3})q^{5}+\zeta_{8}^{3}q^{7}+\cdots$
3731.1.cm.a	$3731$	$1$	3731.cm	3731.bm	$10$	$4$	$1$	$1.862$	$\Q(\zeta_{10})$	$D_{5}$	$\Q(\sqrt{-91}) $	None		$4$	$0$	$0$	$0$	$-2$	$-1$	$1$		$q-\zeta_{10}^{3}q^{4}-\zeta_{10}^{3}q^{5}-\zeta_{10}q^{7}+q^{9}+\cdots$
3731.1.cm.b	$3731$	$1$	3731.cm	3731.bm	$10$	$4$	$1$	$1.862$	$\Q(\zeta_{10})$	$D_{5}$	$\Q(\sqrt{-91}) $	None		$4$	$0$	$0$	$0$	$2$	$1$	$1$		$q-\zeta_{10}^{3}q^{4}+\zeta_{10}^{3}q^{5}+\zeta_{10}q^{7}+q^{9}+\cdots$
3731.1.co.a	$3731$	$1$	3731.co	3731.bo	$10$	$8$	$2$	$1.862$	$\Q(\zeta_{20})$	$D_{10}$	$\Q(\sqrt{-91}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{20}^{6}q^{4}-\zeta_{20}^{7}q^{7}-q^{9}-\zeta_{20}^{3}q^{13}+\cdots$
3731.1.er.a	$3731$	$1$	3731.er	3731.dr	$20$	$16$	$2$	$1.862$	$\Q(\zeta_{40})$	$D_{20}$	$\Q(\sqrt{-91}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{40}^{8}q^{4}+(\zeta_{40}^{3}-\zeta_{40}^{13})q^{5}-\zeta_{40}^{11}q^{7}+\cdots$
3913.1.bh.a	$3913$	$1$	3913.bh	3913.ah	$6$	$2$	$1$	$1.953$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-91}) $	None		$4$	$0$	$0$	$0$	$-2$	$-1$	$1$		$q+q^{4}-\zeta_{6}q^{5}+\zeta_{6}^{2}q^{7}+\zeta_{6}^{2}q^{9}+\cdots$
3913.1.bh.b	$3913$	$1$	3913.bh	3913.ah	$6$	$2$	$1$	$1.953$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-91}) $	None		$4$	$0$	$0$	$0$	$2$	$1$	$1$		$q+q^{4}+\zeta_{6}q^{5}-\zeta_{6}^{2}q^{7}+\zeta_{6}^{2}q^{9}+\cdots$
3913.1.gs.a	$3913$	$1$	3913.gs	3913.fs	$14$	$6$	$1$	$1.953$	$\Q(\zeta_{14})$	$D_{7}$	$\Q(\sqrt{-91}) $	None		$4$	$0$	$0$	$0$	$-5$	$-6$	$1$		$q-\zeta_{14}^{3}q^{4}+(-1-\zeta_{14}^{2})q^{5}-q^{7}+\cdots$
3913.1.gs.b	$3913$	$1$	3913.gs	3913.fs	$14$	$6$	$1$	$1.953$	$\Q(\zeta_{14})$	$D_{7}$	$\Q(\sqrt{-91}) $	None		$4$	$0$	$0$	$0$	$5$	$6$	$1$		$q-\zeta_{14}^{3}q^{4}+(1+\zeta_{14}^{2})q^{5}+q^{7}+\zeta_{14}^{4}q^{9}+\cdots$

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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.