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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 (25 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
847.1.bb.a	$847$	$1$	847.bb	847.ab	$110$	$40$	$1$	$0.423$	$\Q(\zeta_{55})$	$D_{55}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$2$	$0$	$0$	$1$	$1$		$q+(\zeta_{110}^{8}-\zeta_{110}^{49})q^{2}+(\zeta_{110}^{2}+\zeta_{110}^{16}+\cdots)q^{4}+\cdots$
968.1.z.a	$968$	$1$	968.z	968.z	$110$	$40$	$1$	$0.483$	$\Q(\zeta_{55})$	$D_{55}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$1$	$2$	$0$	$0$	$1$		$q-\zeta_{110}^{49}q^{2}+(-\zeta_{110}^{21}-\zeta_{110}^{23}+\cdots)q^{3}+\cdots$
993.1.ba.a	$993$	$1$	993.ba	993.aa	$110$	$40$	$1$	$0.496$	$\Q(\zeta_{55})$	$D_{55}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$1$	$0$	$-3$	$1$		$q+\zeta_{110}^{24}q^{3}-\zeta_{110}^{33}q^{4}+(\zeta_{110}^{10}+\cdots)q^{7}+\cdots$
1771.1.cb.a	$1771$	$1$	1771.cb	1771.bb	$110$	$40$	$1$	$0.884$	$\Q(\zeta_{55})$	$D_{55}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$2$	$0$	$0$	$1$	$1$		$q+(-\zeta_{110}^{19}+\zeta_{110}^{42})q^{2}+(\zeta_{110}^{6}-\zeta_{110}^{29}+\cdots)q^{4}+\cdots$
1771.1.cb.b	$1771$	$1$	1771.cb	1771.bb	$110$	$40$	$1$	$0.884$	$\Q(\zeta_{55})$	$D_{55}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$2$	$0$	$0$	$1$	$1$		$q+(-\zeta_{110}^{9}+\zeta_{110}^{52})q^{2}+(\zeta_{110}^{6}+\zeta_{110}^{18}+\cdots)q^{4}+\cdots$
1817.1.l.b	$1817$	$1$	1817.l	1817.l	$22$	$40$	$4$	$0.907$	$\Q(\zeta_{55})$	$D_{55}$	$\Q(\sqrt{-79}) $	None		$4$	$0$	$2$	$0$	$2$	$0$	$1$		$q+(-\zeta_{110}^{7}+\zeta_{110}^{8})q^{2}+(\zeta_{110}^{14}-\zeta_{110}^{15}+\cdots)q^{4}+\cdots$
1837.1.f.b	$1837$	$1$	1837.f	1837.f	$10$	$40$	$10$	$0.917$	$\Q(\zeta_{55})$	$D_{55}$	$\Q(\sqrt{-167}) $	None		$4$	$0$	$-3$	$2$	$0$	$-3$	$1$		$q+(-\zeta_{110}^{5}+\zeta_{110}^{6})q^{2}+(\zeta_{110}^{2}-\zeta_{110}^{31}+\cdots)q^{3}+\cdots$
1983.1.bj.a	$1983$	$1$	1983.bj	1983.aj	$110$	$40$	$1$	$0.990$	$\Q(\zeta_{55})$	$D_{55}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$-4$	$0$	$2$	$1$		$q+\zeta_{110}^{40}q^{3}+\zeta_{110}^{4}q^{4}+(-\zeta_{110}^{9}+\cdots)q^{7}+\cdots$
2299.1.bj.a	$2299$	$1$	2299.bj	2299.aj	$110$	$40$	$1$	$1.147$	$\Q(\zeta_{55})$	$D_{55}$	$\Q(\sqrt{-19}) $	None		$4$	$0$	$0$	$0$	$2$	$-3$	$1$		$q-\zeta_{110}^{13}q^{4}+(\zeta_{110}^{28}+\zeta_{110}^{54})q^{5}+\cdots$
2317.1.cj.a	$2317$	$1$	2317.cj	2317.bj	$110$	$40$	$1$	$1.156$	$\Q(\zeta_{55})$	$D_{55}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$2$	$0$	$0$	$1$	$1$		$q+(-\zeta_{110}^{7}-\zeta_{110}^{37})q^{2}+(\zeta_{110}^{14}-\zeta_{110}^{19}+\cdots)q^{4}+\cdots$
2369.1.m.b	$2369$	$1$	2369.m	2369.m	$22$	$40$	$4$	$1.182$	$\Q(\zeta_{55})$	$D_{55}$	$\Q(\sqrt{-103}) $	None		$4$	$0$	$2$	$0$	$0$	$2$	$1$		$q+(-\zeta_{110}+\zeta_{110}^{4})q^{2}+(\zeta_{110}^{2}-\zeta_{110}^{5}+\cdots)q^{4}+\cdots$
2644.1.bl.a	$2644$	$1$	2644.bl	2644.al	$110$	$40$	$1$	$1.320$	$\Q(\zeta_{55})$	$D_{55}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$1$	$0$	$2$	$0$	$1$		$q-\zeta_{110}q^{2}+\zeta_{110}^{2}q^{4}+(-\zeta_{110}^{7}+\zeta_{110}^{14}+\cdots)q^{5}+\cdots$
2648.1.cc.a	$2648$	$1$	2648.cc	2648.bc	$110$	$40$	$1$	$1.322$	$\Q(\zeta_{55})$	$D_{55}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$-10$	$-3$	$0$	$0$	$1$		$q+\zeta_{110}^{22}q^{2}+(\zeta_{110}^{4}-\zeta_{110}^{45})q^{3}+\cdots$
2904.1.cj.a	$2904$	$1$	2904.cj	2904.bj	$110$	$40$	$1$	$1.449$	$\Q(\zeta_{55})$	$D_{55}$	$\Q(\sqrt{-6}) $	None		$4$	$0$	$-1$	$10$	$-2$	$2$	$1$		$q+\zeta_{110}^{53}q^{2}-\zeta_{110}^{44}q^{3}-\zeta_{110}^{51}q^{4}+\cdots$
2904.1.cj.b	$2904$	$1$	2904.cj	2904.bj	$110$	$40$	$1$	$1.449$	$\Q(\zeta_{55})$	$D_{55}$	$\Q(\sqrt{-6}) $	None		$4$	$0$	$1$	$-10$	$2$	$2$	$1$		$q-\zeta_{110}^{53}q^{2}+\zeta_{110}^{44}q^{3}-\zeta_{110}^{51}q^{4}+\cdots$
2973.1.bj.a	$2973$	$1$	2973.bj	2973.aj	$110$	$40$	$1$	$1.484$	$\Q(\zeta_{55})$	$D_{55}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$1$	$0$	$-9$	$1$		$q-\zeta_{110}^{27}q^{3}+\zeta_{110}^{2}q^{4}+(\zeta_{110}^{8}-\zeta_{110}^{11}+\cdots)q^{7}+\cdots$
2981.1.t.b	$2981$	$1$	2981.t	2981.t	$10$	$40$	$10$	$1.488$	$\Q(\zeta_{55})$	$D_{55}$	$\Q(\sqrt{-271}) $	None		$4$	$0$	$2$	$0$	$-3$	$2$	$1$		$q+(\zeta_{110}^{4}-\zeta_{110}^{7})q^{2}+(\zeta_{110}^{8}-\zeta_{110}^{11}+\cdots)q^{4}+\cdots$
3289.1.bn.c	$3289$	$1$	3289.bn	3289.an	$22$	$40$	$4$	$1.641$	$\Q(\zeta_{55})$	$D_{55}$	$\Q(\sqrt{-143}) $	None		$4$	$0$	$-2$	$2$	$0$	$-2$	$1$		$q+(\zeta_{110}^{7}-\zeta_{110}^{28})q^{2}+(\zeta_{110}^{18}+\zeta_{110}^{42}+\cdots)q^{3}+\cdots$
3289.1.bn.d	$3289$	$1$	3289.bn	3289.an	$22$	$40$	$4$	$1.641$	$\Q(\zeta_{55})$	$D_{55}$	$\Q(\sqrt{-143}) $	None		$4$	$0$	$2$	$2$	$0$	$2$	$1$		$q+(-\zeta_{110}^{7}+\zeta_{110}^{28})q^{2}+(\zeta_{110}^{18}+\zeta_{110}^{42}+\cdots)q^{3}+\cdots$
3524.1.bd.a	$3524$	$1$	3524.bd	3524.ad	$110$	$40$	$1$	$1.759$	$\Q(\zeta_{55})$	$D_{55}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$1$	$0$	$-3$	$0$	$1$		$q+\zeta_{110}^{12}q^{2}+\zeta_{110}^{24}q^{4}+(-\zeta_{110}^{3}+\cdots)q^{5}+\cdots$
3641.1.df.a	$3641$	$1$	3641.df	3641.cf	$110$	$40$	$1$	$1.817$	$\Q(\zeta_{55})$	$D_{55}$	$\Q(\sqrt{-11}) $	None		$4$	$0$	$0$	$2$	$2$	$0$	$1$		$q+(\zeta_{110}^{16}+\zeta_{110}^{36})q^{3}+\zeta_{110}^{22}q^{4}+\cdots$
3657.1.o.c	$3657$	$1$	3657.o	3657.o	$22$	$40$	$4$	$1.825$	$\Q(\zeta_{55})$	$D_{55}$	$\Q(\sqrt{-159}) $	None		$4$	$0$	$-2$	$4$	$-2$	$-9$	$1$		$q+(-\zeta_{110}^{14}+\zeta_{110}^{21})q^{2}-\zeta_{110}^{30}q^{3}+\cdots$
3657.1.o.d	$3657$	$1$	3657.o	3657.o	$22$	$40$	$4$	$1.825$	$\Q(\zeta_{55})$	$D_{55}$	$\Q(\sqrt{-159}) $	None		$4$	$0$	$2$	$-4$	$2$	$-9$	$1$		$q+(\zeta_{110}^{14}-\zeta_{110}^{21})q^{2}+\zeta_{110}^{30}q^{3}+\cdots$
3872.1.bx.a	$3872$	$1$	3872.bx	968.z	$110$	$40$	$1$	$1.932$	$\Q(\zeta_{55})$	$D_{55}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$-2$	$0$	$0$	$1$		$q+(\zeta_{110}^{27}+\zeta_{110}^{39})q^{3}+(-\zeta_{110}^{11}+\cdots)q^{9}+\cdots$
3963.1.bs.a	$3963$	$1$	3963.bs	3963.as	$110$	$40$	$1$	$1.978$	$\Q(\zeta_{55})$	$D_{55}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$1$	$0$	$2$	$1$		$q+\zeta_{110}^{32}q^{3}+\zeta_{110}^{22}q^{4}+(\zeta_{110}^{12}+\cdots)q^{7}+\cdots$

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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.