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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 75 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
2793.1.n.a	$2793$	$1$	2793.n	399.n	$6$	$2$	$1$	$1.394$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$-1$	$0$	$0$		$1$		$q+\zeta_{6}^{2}q^{3}+q^{4}-\zeta_{6}q^{9}+\zeta_{6}^{2}q^{12}+\cdots$
2793.1.n.b	$2793$	$1$	2793.n	399.n	$6$	$2$	$1$	$1.394$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$1$	$0$	$0$		$1$		$q-\zeta_{6}^{2}q^{3}+q^{4}-\zeta_{6}q^{9}-\zeta_{6}^{2}q^{12}+\cdots$
2793.1.n.c	$2793$	$1$	2793.n	399.n	$6$	$4$	$2$	$1.394$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{12}^{3}q^{2}-\zeta_{12}^{5}q^{3}+\zeta_{12}^{3}q^{5}+\cdots$
2793.1.r.a	$2793$	$1$	2793.r	399.r	$6$	$2$	$1$	$1.394$	$\Q(\sqrt{-3}) $	$D_{6}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$-2$	$0$	$0$		$1$		$q-q^{3}+\zeta_{6}q^{4}+q^{9}-\zeta_{6}q^{12}-\zeta_{6}^{2}q^{13}+\cdots$
2793.1.r.b	$2793$	$1$	2793.r	399.r	$6$	$2$	$1$	$1.394$	$\Q(\sqrt{-3}) $	$D_{6}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$2$	$0$	$0$		$1$		$q+q^{3}+\zeta_{6}q^{4}+q^{9}+\zeta_{6}q^{12}+\zeta_{6}^{2}q^{13}+\cdots$
2793.1.s.a	$2793$	$1$	2793.s	399.s	$6$	$2$	$1$	$1.394$	$\Q(\sqrt{-3}) $	$D_{2}$	$\Q(\sqrt{-3}) $, $\Q(\sqrt{-399}) $	$\Q(\sqrt{133}) $		$8$	$0$	$0$	$-1$	$0$	$0$		$1$		$q+\zeta_{6}^{2}q^{3}-\zeta_{6}^{2}q^{4}-\zeta_{6}q^{9}+\zeta_{6}q^{12}+\cdots$
2793.1.s.b	$2793$	$1$	2793.s	399.s	$6$	$2$	$1$	$1.394$	$\Q(\sqrt{-3}) $	$D_{2}$	$\Q(\sqrt{-3}) $, $\Q(\sqrt{-399}) $	$\Q(\sqrt{133}) $		$8$	$0$	$0$	$1$	$0$	$0$		$1$		$q-\zeta_{6}^{2}q^{3}-\zeta_{6}^{2}q^{4}-\zeta_{6}q^{9}-\zeta_{6}q^{12}+\cdots$
2793.1.s.c	$2793$	$1$	2793.s	399.s	$6$	$4$	$2$	$1.394$	$\Q(\sqrt{2}, \sqrt{-3})$	$D_{4}$	$\Q(\sqrt{-399}) $	None		$8$	$0$	$0$	$-2$	$0$	$0$		$1$		$q+(-\beta _{1}-\beta _{3})q^{2}+(-1-\beta _{2})q^{3}+(-1+\cdots)q^{4}+\cdots$
2793.1.s.d	$2793$	$1$	2793.s	399.s	$6$	$4$	$2$	$1.394$	$\Q(\sqrt{2}, \sqrt{-3})$	$D_{4}$	$\Q(\sqrt{-399}) $	None		$8$	$0$	$0$	$2$	$0$	$0$		$1$		$q+(-\beta _{1}-\beta _{3})q^{2}+(1+\beta _{2})q^{3}+(-1+\cdots)q^{4}+\cdots$
2793.1.bf.a	$2793$	$1$	2793.bf	57.h	$6$	$2$	$1$	$1.394$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$1$	$0$	$0$		$1$		$q-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}-\zeta_{6}q^{9}-q^{12}+\cdots$
2793.1.bf.b	$2793$	$1$	2793.bf	57.h	$6$	$4$	$2$	$1.394$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{12}^{5}q^{2}+\zeta_{12}^{5}q^{3}+\zeta_{12}^{5}q^{5}+\cdots$
2793.1.bf.c	$2793$	$1$	2793.bf	57.h	$6$	$4$	$2$	$1.394$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q+\zeta_{12}^{5}q^{2}+\zeta_{12}^{5}q^{3}+\zeta_{12}^{5}q^{5}+\cdots$
2793.1.bi.a	$2793$	$1$	2793.bi	399.ai	$6$	$2$	$1$	$1.394$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$-2$	$0$	$0$		$1$		$q-q^{3}+\zeta_{6}^{2}q^{4}+q^{9}-\zeta_{6}^{2}q^{12}-\zeta_{6}q^{13}+\cdots$
2793.1.bi.b	$2793$	$1$	2793.bi	399.ai	$6$	$2$	$1$	$1.394$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$2$	$0$	$0$		$1$		$q+q^{3}+\zeta_{6}^{2}q^{4}+q^{9}+\zeta_{6}^{2}q^{12}+\zeta_{6}q^{13}+\cdots$
2793.1.bi.c	$2793$	$1$	2793.bi	399.ai	$6$	$4$	$2$	$1.394$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q+\zeta_{12}q^{2}+\zeta_{12}^{3}q^{3}-\zeta_{12}q^{5}+\zeta_{12}^{4}q^{6}+\cdots$
2793.1.bn.a	$2793$	$1$	2793.bn	399.an	$6$	$2$	$1$	$1.394$	$\Q(\sqrt{-3}) $	$D_{6}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$-1$	$0$	$0$		$1$		$q+\zeta_{6}^{2}q^{3}-q^{4}-\zeta_{6}q^{9}-\zeta_{6}^{2}q^{12}+\cdots$
2793.1.bn.b	$2793$	$1$	2793.bn	399.an	$6$	$2$	$1$	$1.394$	$\Q(\sqrt{-3}) $	$D_{6}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$1$	$0$	$0$		$1$		$q-\zeta_{6}^{2}q^{3}-q^{4}-\zeta_{6}q^{9}+\zeta_{6}^{2}q^{12}+\cdots$
2793.1.bs.a	$2793$	$1$	2793.bs	2793.as	$14$	$6$	$1$	$1.394$	$\Q(\zeta_{14})$	$D_{14}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$-1$	$0$	$-1$		$1$		$q-\zeta_{14}^{5}q^{3}+\zeta_{14}q^{4}+\zeta_{14}^{4}q^{7}-\zeta_{14}^{3}q^{9}+\cdots$
2793.1.bs.b	$2793$	$1$	2793.bs	2793.as	$14$	$6$	$1$	$1.394$	$\Q(\zeta_{14})$	$D_{14}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$1$	$0$	$-1$		$1$		$q+\zeta_{14}^{5}q^{3}+\zeta_{14}q^{4}+\zeta_{14}^{4}q^{7}-\zeta_{14}^{3}q^{9}+\cdots$
2793.1.ca.a	$2793$	$1$	2793.ca	399.as	$18$	$6$	$1$	$1.394$	$\Q(\zeta_{18})$	$D_{18}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q+\zeta_{18}^{5}q^{3}-\zeta_{18}^{4}q^{4}-\zeta_{18}q^{9}+q^{12}+\cdots$
2793.1.cf.a	$2793$	$1$	2793.cf	399.ax	$18$	$6$	$1$	$1.394$	$\Q(\zeta_{18})$	$D_{18}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{18}^{2}q^{3}+\zeta_{18}q^{4}+\zeta_{18}^{4}q^{9}-\zeta_{18}^{3}q^{12}+\cdots$
2793.1.cf.b	$2793$	$1$	2793.cf	399.ax	$18$	$6$	$1$	$1.394$	$\Q(\zeta_{18})$	$D_{18}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q+\zeta_{18}^{2}q^{3}+\zeta_{18}q^{4}+\zeta_{18}^{4}q^{9}+\zeta_{18}^{3}q^{12}+\cdots$
2793.1.cg.a	$2793$	$1$	2793.cg	399.ay	$18$	$6$	$1$	$1.394$	$\Q(\zeta_{18})$	$D_{18}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q+\zeta_{18}^{4}q^{3}-\zeta_{18}^{8}q^{4}+\zeta_{18}^{8}q^{9}+\cdots$
2793.1.ci.a	$2793$	$1$	2793.ci	399.ba	$18$	$6$	$1$	$1.394$	$\Q(\zeta_{18})$	$D_{9}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{18}^{4}q^{3}-\zeta_{18}^{5}q^{4}+\zeta_{18}^{8}q^{9}+\cdots$
2793.1.co.a	$2793$	$1$	2793.co	57.l	$18$	$6$	$1$	$1.394$	$\Q(\zeta_{18})$	$D_{9}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{18}q^{3}-\zeta_{18}^{5}q^{4}+\zeta_{18}^{2}q^{9}+\zeta_{18}^{6}q^{12}+\cdots$
2793.1.co.b	$2793$	$1$	2793.co	57.l	$18$	$6$	$1$	$1.394$	$\Q(\zeta_{18})$	$D_{9}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q+\zeta_{18}q^{3}-\zeta_{18}^{5}q^{4}+\zeta_{18}^{2}q^{9}-\zeta_{18}^{6}q^{12}+\cdots$
2793.1.cp.a	$2793$	$1$	2793.cp	399.bh	$18$	$6$	$1$	$1.394$	$\Q(\zeta_{18})$	$D_{9}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{18}^{4}q^{3}+\zeta_{18}^{8}q^{4}+\zeta_{18}^{8}q^{9}+\cdots$
2793.1.dg.a	$2793$	$1$	2793.dg	2793.cg	$42$	$12$	$1$	$1.394$	$\Q(\zeta_{21})$	$D_{21}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$1$	$0$	$1$		$1$		$q+\zeta_{42}^{16}q^{3}+\zeta_{42}^{20}q^{4}-\zeta_{42}^{17}q^{7}+\cdots$
2793.1.dg.b	$2793$	$1$	2793.dg	2793.cg	$42$	$12$	$1$	$1.394$	$\Q(\zeta_{21})$	$D_{21}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$1$	$0$	$1$		$1$		$q+\zeta_{42}^{16}q^{3}+\zeta_{42}^{20}q^{4}+\zeta_{42}^{10}q^{7}+\cdots$
2793.1.dv.a	$2793$	$1$	2793.dv	2793.cv	$42$	$12$	$1$	$1.394$	$\Q(\zeta_{21})$	$D_{42}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$-1$	$0$	$1$		$1$		$q+\zeta_{42}^{5}q^{3}+\zeta_{42}q^{4}+\zeta_{42}^{4}q^{7}+\zeta_{42}^{10}q^{9}+\cdots$
2793.1.dv.b	$2793$	$1$	2793.dv	2793.cv	$42$	$12$	$1$	$1.394$	$\Q(\zeta_{21})$	$D_{42}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$1$	$0$	$1$		$1$		$q-\zeta_{42}^{5}q^{3}+\zeta_{42}q^{4}-\zeta_{42}^{11}q^{7}+\cdots$
2793.1.ei.a	$2793$	$1$	2793.ei	2793.di	$126$	$36$	$1$	$1.394$	$\Q(\zeta_{63})$	$D_{63}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{126}^{59}q^{3}-\zeta_{126}^{37}q^{4}-\zeta_{126}^{43}q^{7}+\cdots$
2793.1.eo.a	$2793$	$1$	2793.eo	2793.do	$126$	$36$	$1$	$1.394$	$\Q(\zeta_{63})$	$D_{63}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{126}^{41}q^{3}+\zeta_{126}^{4}q^{4}+\zeta_{126}^{2}q^{7}+\cdots$
2793.1.er.a	$2793$	$1$	2793.er	2793.dr	$126$	$36$	$1$	$1.394$	$\Q(\zeta_{63})$	$D_{126}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q+\zeta_{126}^{17}q^{3}-\zeta_{126}^{16}q^{4}+\zeta_{126}^{22}q^{7}+\cdots$
2793.1.ew.a	$2793$	$1$	2793.ew	2793.dw	$126$	$36$	$1$	$1.394$	$\Q(\zeta_{63})$	$D_{126}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{126}^{37}q^{3}-\zeta_{126}^{62}q^{4}-\zeta_{126}^{31}q^{7}+\cdots$
2793.2.a.a	$2793$	$2$	2793.a	1.a	$1$	$1$	$1$	$22.302$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$-2$	$-1$	$-1$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}-q^{3}+2q^{4}-q^{5}+2q^{6}+q^{9}+\cdots$
2793.2.a.b	$2793$	$2$	2793.a	1.a	$1$	$1$	$1$	$22.302$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$-2$	$1$	$3$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+q^{3}+2q^{4}+3q^{5}-2q^{6}+\cdots$
2793.2.a.c	$2793$	$2$	2793.a	1.a	$1$	$1$	$1$	$22.302$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$-1$	$-1$	$-4$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}-q^{4}-4q^{5}+q^{6}+3q^{8}+\cdots$
2793.2.a.d	$2793$	$2$	2793.a	1.a	$1$	$1$	$1$	$22.302$	$\Q$	$_{}$	None	None	✓	$1$	$2$	$-1$	$-1$	$-2$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}-q^{4}-2q^{5}+q^{6}+3q^{8}+\cdots$
2793.2.a.e	$2793$	$2$	2793.a	1.a	$1$	$1$	$1$	$22.302$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$-1$	$1$	$0$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}-q^{4}-q^{6}+3q^{8}+q^{9}+\cdots$
2793.2.a.f	$2793$	$2$	2793.a	1.a	$1$	$1$	$1$	$22.302$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$-1$	$1$	$2$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}-q^{4}+2q^{5}-q^{6}+3q^{8}+\cdots$
2793.2.a.g	$2793$	$2$	2793.a	1.a	$1$	$1$	$1$	$22.302$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-1$	$-2$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-2q^{4}-2q^{5}+q^{9}-3q^{11}+\cdots$
2793.2.a.h	$2793$	$2$	2793.a	1.a	$1$	$1$	$1$	$22.302$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$1$	$2$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-2q^{4}+2q^{5}+q^{9}-3q^{11}+\cdots$
2793.2.a.i	$2793$	$2$	2793.a	1.a	$1$	$1$	$1$	$22.302$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$1$	$-1$	$2$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}-q^{4}+2q^{5}-q^{6}-3q^{8}+\cdots$
2793.2.a.j	$2793$	$2$	2793.a	1.a	$1$	$1$	$1$	$22.302$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$1$	$1$	$0$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}-q^{4}+q^{6}-3q^{8}+q^{9}+\cdots$
2793.2.a.k	$2793$	$2$	2793.a	1.a	$1$	$1$	$1$	$22.302$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$2$	$-1$	$-1$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}-q^{3}+2q^{4}-q^{5}-2q^{6}+q^{9}+\cdots$
2793.2.a.l	$2793$	$2$	2793.a	1.a	$1$	$1$	$1$	$22.302$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$2$	$1$	$1$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+q^{3}+2q^{4}+q^{5}+2q^{6}+q^{9}+\cdots$
2793.2.a.m	$2793$	$2$	2793.a	1.a	$1$	$2$	$2$	$22.302$	$\Q(\sqrt{2}) $	$_{}$	None	None	✓	$1$	$1$	$-2$	$-2$	$0$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{2}-q^{3}+(1-2\beta )q^{4}+2\beta q^{5}+\cdots$
2793.2.a.n	$2793$	$2$	2793.a	1.a	$1$	$2$	$2$	$22.302$	$\Q(\sqrt{2}) $	$_{}$	None	None	✓	$1$	$1$	$-2$	$-2$	$2$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{2}-q^{3}+(1-2\beta )q^{4}+(1+\cdots)q^{5}+\cdots$
2793.2.a.o	$2793$	$2$	2793.a	1.a	$1$	$2$	$2$	$22.302$	$\Q(\sqrt{2}) $	$_{}$	None	None	✓	$1$	$0$	$-2$	$2$	$-2$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{2}+q^{3}+(1-2\beta )q^{4}+(-1+\cdots)q^{5}+\cdots$

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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.