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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 151 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				Fricke sign	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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
2548.1.c.a	$2548$	$1$	2548.c	52.b	$2$	$1$	$1$	$1.272$	$\Q$	$D_{3}$	$\Q(\sqrt{-13}) $	None	✓	$2$	$0$	$-1$	$0$	$0$	$0$		$1$		$q-q^{2}+q^{4}-q^{8}+q^{9}+q^{11}-q^{13}+\cdots$
2548.1.c.b	$2548$	$1$	2548.c	52.b	$2$	$1$	$1$	$1.272$	$\Q$	$D_{3}$	$\Q(\sqrt{-13}) $	None	✓	$2$	$0$	$-1$	$0$	$0$	$0$		$1$		$q-q^{2}+q^{4}-q^{8}+q^{9}+q^{11}+q^{13}+\cdots$
2548.1.c.c	$2548$	$1$	2548.c	52.b	$2$	$1$	$1$	$1.272$	$\Q$	$D_{3}$	$\Q(\sqrt{-13}) $	None	✓	$2$	$0$	$1$	$0$	$0$	$0$		$1$		$q+q^{2}+q^{4}+q^{8}+q^{9}-q^{11}-q^{13}+\cdots$
2548.1.c.d	$2548$	$1$	2548.c	52.b	$2$	$1$	$1$	$1.272$	$\Q$	$D_{3}$	$\Q(\sqrt{-13}) $	None	✓	$2$	$0$	$1$	$0$	$0$	$0$		$1$		$q+q^{2}+q^{4}+q^{8}+q^{9}-q^{11}+q^{13}+\cdots$
2548.1.c.e	$2548$	$1$	2548.c	52.b	$2$	$4$	$4$	$1.272$	$\Q(\zeta_{8})$	$D_{4}$	$\Q(\sqrt{-1}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q+\zeta_{8}^{2}q^{2}-q^{4}+(-\zeta_{8}-\zeta_{8}^{3})q^{5}+\cdots$
2548.1.o.a	$2548$	$1$	2548.o	13.d	$4$	$4$	$2$	$1.272$	$\Q(\zeta_{8})$	$S_{4}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q+(\zeta_{8}-\zeta_{8}^{3})q^{3}-\zeta_{8}^{3}q^{5}+q^{9}+\zeta_{8}^{3}q^{13}+\cdots$
2548.1.p.a	$2548$	$1$	2548.p	364.p	$4$	$8$	$4$	$1.272$	$\Q(\zeta_{16})$	$D_{8}$	$\Q(\sqrt{-1}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q+\zeta_{16}^{2}q^{2}+\zeta_{16}^{4}q^{4}+(\zeta_{16}-\zeta_{16}^{3}+\cdots)q^{5}+\cdots$
2548.1.q.a	$2548$	$1$	2548.q	364.q	$6$	$2$	$1$	$1.272$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$-1$	$0$	$-1$	$0$		$1$		$q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-\zeta_{6}q^{5}+q^{8}+q^{9}+\cdots$
2548.1.q.b	$2548$	$1$	2548.q	364.q	$6$	$2$	$1$	$1.272$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$-1$	$0$	$1$	$0$		$1$		$q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+\zeta_{6}q^{5}+q^{8}+q^{9}+\cdots$
2548.1.q.c	$2548$	$1$	2548.q	364.q	$6$	$4$	$2$	$1.272$	$\Q(\zeta_{12})$	$D_{6}$	$\Q(\sqrt{-1}) $	None		$8$	$0$	$2$	$0$	$0$	$0$		$1$		$q+\zeta_{12}^{2}q^{2}+\zeta_{12}^{4}q^{4}+(-\zeta_{12}^{3}-\zeta_{12}^{5}+\cdots)q^{5}+\cdots$
2548.1.s.a	$2548$	$1$	2548.s	364.s	$6$	$8$	$4$	$1.272$	$\Q(\zeta_{24})$	$D_{12}$	$\Q(\sqrt{-1}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{24}^{2}q^{2}+\zeta_{24}^{4}q^{4}+(\zeta_{24}^{9}+\zeta_{24}^{11}+\cdots)q^{5}+\cdots$
2548.1.bd.a	$2548$	$1$	2548.bd	52.i	$6$	$8$	$4$	$1.272$	$\Q(\zeta_{24})$	$D_{12}$	$\Q(\sqrt{-1}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q+\zeta_{24}^{10}q^{2}-\zeta_{24}^{8}q^{4}+(\zeta_{24}+\zeta_{24}^{11}+\cdots)q^{5}+\cdots$
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		$4$	$0$	$0$	$0$	$1$	$0$		$1$		$q-\zeta_{6}^{2}q^{5}+\zeta_{6}^{2}q^{9}+q^{13}-\zeta_{6}^{2}q^{19}+\cdots$
2548.1.bi.a	$2548$	$1$	2548.bi	364.ai	$6$	$2$	$1$	$1.272$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$2$	$0$	$-1$	$0$		$1$		$q+q^{2}+q^{4}+\zeta_{6}^{2}q^{5}+q^{8}-\zeta_{6}q^{9}+\cdots$
2548.1.bi.b	$2548$	$1$	2548.bi	364.ai	$6$	$2$	$1$	$1.272$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$2$	$0$	$1$	$0$		$1$		$q+q^{2}+q^{4}-\zeta_{6}^{2}q^{5}+q^{8}-\zeta_{6}q^{9}+\cdots$
2548.1.bi.c	$2548$	$1$	2548.bi	364.ai	$6$	$4$	$2$	$1.272$	$\Q(\zeta_{12})$	$D_{6}$	$\Q(\sqrt{-1}) $	None		$8$	$0$	$-4$	$0$	$0$	$0$		$1$		$q-q^{2}+q^{4}+(\zeta_{12}+\zeta_{12}^{3})q^{5}-q^{8}+\cdots$
2548.1.bk.a	$2548$	$1$	2548.bk	364.ak	$6$	$8$	$4$	$1.272$	$\Q(\zeta_{24})$	$D_{12}$	$\Q(\sqrt{-1}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{24}^{6}q^{2}-q^{4}+(\zeta_{24}^{7}-\zeta_{24}^{9})q^{5}+\cdots$
2548.1.bl.a	$2548$	$1$	2548.bl	364.al	$6$	$2$	$1$	$1.272$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-13}) $	None		$4$	$0$	$-1$	$0$	$0$	$0$		$1$		$q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+q^{8}+\zeta_{6}^{2}q^{9}+\cdots$
2548.1.bl.b	$2548$	$1$	2548.bl	364.al	$6$	$2$	$1$	$1.272$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-13}) $	None		$4$	$0$	$1$	$0$	$0$	$0$		$1$		$q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-q^{8}+\zeta_{6}^{2}q^{9}+\cdots$
2548.1.bl.c	$2548$	$1$	2548.bl	364.al	$6$	$8$	$4$	$1.272$	$\Q(\zeta_{24})$	$D_{4}$	$\Q(\sqrt{-1}) $	None		$16$	$0$	$0$	$0$	$0$	$0$		$1$		$q+\zeta_{24}^{10}q^{2}-\zeta_{24}^{8}q^{4}+(\zeta_{24}-\zeta_{24}^{7}+\cdots)q^{5}+\cdots$
2548.1.bn.a	$2548$	$1$	2548.bn	52.j	$6$	$2$	$1$	$1.272$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$-1$	$0$	$2$	$0$		$1$		$q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+q^{5}+q^{8}-\zeta_{6}q^{9}+\cdots$
2548.1.bn.b	$2548$	$1$	2548.bn	52.j	$6$	$4$	$2$	$1.272$	$\Q(\zeta_{12})$	$D_{6}$	$\Q(\sqrt{-1}) $	None		$8$	$0$	$2$	$0$	$0$	$0$		$1$		$q+\zeta_{12}^{2}q^{2}+\zeta_{12}^{4}q^{4}+(\zeta_{12}-\zeta_{12}^{5}+\cdots)q^{5}+\cdots$
2548.1.bw.a	$2548$	$1$	2548.bw	364.av	$12$	$16$	$4$	$1.272$	$\Q(\zeta_{48})$	$D_{24}$	$\Q(\sqrt{-1}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q+\zeta_{48}^{22}q^{2}-\zeta_{48}^{20}q^{4}+(-\zeta_{48}^{17}+\cdots)q^{5}+\cdots$
2548.1.bx.a	$2548$	$1$	2548.bx	364.aw	$12$	$16$	$4$	$1.272$	$\Q(\zeta_{48})$	$D_{8}$	$\Q(\sqrt{-1}) $	None		$16$	$0$	$0$	$0$	$0$	$0$		$1$		$q+\zeta_{48}^{22}q^{2}-\zeta_{48}^{20}q^{4}+(-\zeta_{48}+\cdots)q^{5}+\cdots$
2548.1.bz.a	$2548$	$1$	2548.bz	91.z	$12$	$8$	$2$	$1.272$	$\Q(\zeta_{24})$	$S_{4}$	None	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q+(-\zeta_{24}-\zeta_{24}^{7})q^{3}+\zeta_{24}^{5}q^{5}+\zeta_{24}^{8}q^{9}+\cdots$
2548.1.ca.a	$2548$	$1$	2548.ca	364.az	$12$	$16$	$4$	$1.272$	$\Q(\zeta_{48})$	$D_{24}$	$\Q(\sqrt{-1}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q+\zeta_{48}^{18}q^{2}-\zeta_{48}^{12}q^{4}+(\zeta_{48}^{9}+\zeta_{48}^{19}+\cdots)q^{5}+\cdots$
2548.1.ch.a	$2548$	$1$	2548.ch	364.bg	$12$	$16$	$4$	$1.272$	$\Q(\zeta_{48})$	$D_{24}$	$\Q(\sqrt{-1}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q+\zeta_{48}^{22}q^{2}-\zeta_{48}^{20}q^{4}+(-\zeta_{48}^{9}+\cdots)q^{5}+\cdots$
2548.1.co.a	$2548$	$1$	2548.co	2548.bo	$14$	$6$	$1$	$1.272$	$\Q(\zeta_{14})$	$D_{7}$	$\Q(\sqrt{-13}) $	None		$4$	$0$	$-1$	$0$	$0$	$-1$		$1$		$q-\zeta_{14}^{3}q^{2}+\zeta_{14}^{6}q^{4}-\zeta_{14}q^{7}+\zeta_{14}^{2}q^{8}+\cdots$
2548.1.co.b	$2548$	$1$	2548.co	2548.bo	$14$	$6$	$1$	$1.272$	$\Q(\zeta_{14})$	$D_{7}$	$\Q(\sqrt{-13}) $	None		$4$	$0$	$1$	$0$	$0$	$1$		$1$		$q+\zeta_{14}^{3}q^{2}+\zeta_{14}^{6}q^{4}+\zeta_{14}q^{7}-\zeta_{14}^{2}q^{8}+\cdots$
2548.1.de.a	$2548$	$1$	2548.de	2548.ce	$42$	$12$	$1$	$1.272$	$\Q(\zeta_{21})$	$D_{21}$	$\Q(\sqrt{-13}) $	None		$4$	$0$	$-1$	$0$	$0$	$-1$		$1$		$q+\zeta_{42}^{17}q^{2}-\zeta_{42}^{13}q^{4}-\zeta_{42}^{8}q^{7}+\cdots$
2548.1.de.b	$2548$	$1$	2548.de	2548.ce	$42$	$12$	$1$	$1.272$	$\Q(\zeta_{21})$	$D_{21}$	$\Q(\sqrt{-13}) $	None		$4$	$0$	$1$	$0$	$0$	$1$		$1$		$q-\zeta_{42}^{17}q^{2}-\zeta_{42}^{13}q^{4}+\zeta_{42}^{8}q^{7}+\cdots$
2548.2.a.a	$2548$	$2$	2548.a	1.a	$1$	$1$	$1$	$20.346$	$\Q$	$_{}$	None	None	✓	$1$	$2$	$0$	$-3$	$-3$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{3}-3q^{5}+6q^{9}-5q^{11}-q^{13}+\cdots$
2548.2.a.b	$2548$	$2$	2548.a	1.a	$1$	$1$	$1$	$20.346$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-2$	$0$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}+q^{9}-3q^{11}+q^{13}+3q^{17}+\cdots$
2548.2.a.c	$2548$	$2$	2548.a	1.a	$1$	$1$	$1$	$20.346$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-1$	$-1$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-2q^{9}-q^{11}-q^{13}+q^{15}+\cdots$
2548.2.a.d	$2548$	$2$	2548.a	1.a	$1$	$1$	$1$	$20.346$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-1$	$3$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+3q^{5}-2q^{9}+3q^{11}-q^{13}+\cdots$
2548.2.a.e	$2548$	$2$	2548.a	1.a	$1$	$1$	$1$	$20.346$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$0$	$-2$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}-3q^{9}-2q^{11}+q^{13}-6q^{17}+\cdots$
2548.2.a.f	$2548$	$2$	2548.a	1.a	$1$	$1$	$1$	$20.346$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$0$	$3$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+3q^{5}-3q^{9}-2q^{11}+q^{13}+4q^{17}+\cdots$
2548.2.a.g	$2548$	$2$	2548.a	1.a	$1$	$1$	$1$	$20.346$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$1$	$-3$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-3q^{5}-2q^{9}+3q^{11}+q^{13}+\cdots$
2548.2.a.h	$2548$	$2$	2548.a	1.a	$1$	$1$	$1$	$20.346$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$1$	$1$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}-2q^{9}-q^{11}+q^{13}+q^{15}+\cdots$
2548.2.a.i	$2548$	$2$	2548.a	1.a	$1$	$1$	$1$	$20.346$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$2$	$-1$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}-q^{5}+q^{9}-4q^{11}-q^{13}+\cdots$
2548.2.a.j	$2548$	$2$	2548.a	1.a	$1$	$1$	$1$	$20.346$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$2$	$0$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}+q^{9}-3q^{11}-q^{13}-3q^{17}+\cdots$
2548.2.a.k	$2548$	$2$	2548.a	1.a	$1$	$1$	$1$	$20.346$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$3$	$3$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+3q^{3}+3q^{5}+6q^{9}-5q^{11}+q^{13}+\cdots$
2548.2.a.l	$2548$	$2$	2548.a	1.a	$1$	$2$	$2$	$20.346$	$\Q(\sqrt{3}) $	$_{}$	None	None	✓	$1$	$1$	$0$	$-2$	$0$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{3}-\beta q^{5}+(1-2\beta )q^{9}+\cdots$
2548.2.a.m	$2548$	$2$	2548.a	1.a	$1$	$2$	$2$	$20.346$	$\Q(\sqrt{6}) $	$_{}$	None	None	✓	$1$	$0$	$0$	$0$	$2$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{3}+(1+\beta )q^{5}+3q^{9}+(4+\beta )q^{11}+\cdots$
2548.2.a.n	$2548$	$2$	2548.a	1.a	$1$	$3$	$3$	$20.346$	3.3.756.1	$_{}$	None	None	✓	$1$	$1$	$0$	$0$	$-3$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{3}+(-1+\beta _{1}-\beta _{2})q^{5}+(1+\beta _{2})q^{9}+\cdots$
2548.2.a.o	$2548$	$2$	2548.a	1.a	$1$	$3$	$3$	$20.346$	3.3.756.1	$_{}$	None	None	✓	$1$	$0$	$0$	$0$	$3$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{3}+(1-\beta _{1}+\beta _{2})q^{5}+(1+\beta _{2})q^{9}+\cdots$
2548.2.a.p	$2548$	$2$	2548.a	1.a	$1$	$4$	$4$	$20.346$	4.4.29268.1	$_{}$	None	None	✓	$1$	$0$	$0$	$-3$	$1$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1})q^{3}-\beta _{3}q^{5}+(3-2\beta _{1}+\cdots)q^{9}+\cdots$
2548.2.a.q	$2548$	$2$	2548.a	1.a	$1$	$4$	$4$	$20.346$	4.4.29268.1	$_{}$	None	None	✓	$1$	$0$	$0$	$3$	$-1$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1-\beta _{1})q^{3}+\beta _{3}q^{5}+(3-2\beta _{1}+\beta _{3})q^{9}+\cdots$
2548.2.a.r	$2548$	$2$	2548.a	1.a	$1$	$6$	$6$	$20.346$	6.6.39110656.1	$_{}$	None	None	✓	$1$	$1$	$0$	$0$	$-10$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+(\beta _{1}+\beta _{4})q^{3}+(-2+\beta _{3})q^{5}+(1+\beta _{1}+\cdots)q^{9}+\cdots$

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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.