LMFDB - Newform search results

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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 65 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces				A-L signs				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	2	5	7	11	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
5390.2.a.a	$5390$	$2$	5390.a	1.a	$1$	$1$	$1$	$43.039$	$\Q$	None	✓	$1$	$0$	$-1$	$-3$	$-1$	$0$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-3q^{3}+q^{4}-q^{5}+3q^{6}-q^{8}+\cdots$
5390.2.a.b	$5390$	$2$	5390.a	1.a	$1$	$1$	$1$	$43.039$	$\Q$	None	✓	$1$	$2$	$-1$	$-3$	$1$	$0$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-3q^{3}+q^{4}+q^{5}+3q^{6}-q^{8}+\cdots$
5390.2.a.c	$5390$	$2$	5390.a	1.a	$1$	$1$	$1$	$43.039$	$\Q$	None	✓	$1$	$1$	$-1$	$-2$	$1$	$0$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-2q^{3}+q^{4}+q^{5}+2q^{6}-q^{8}+\cdots$
5390.2.a.d	$5390$	$2$	5390.a	1.a	$1$	$1$	$1$	$43.039$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$-1$	$0$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{8}+\cdots$
5390.2.a.e	$5390$	$2$	5390.a	1.a	$1$	$1$	$1$	$43.039$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$-1$	$0$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{8}+\cdots$
5390.2.a.f	$5390$	$2$	5390.a	1.a	$1$	$1$	$1$	$43.039$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$-1$	$0$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{8}+\cdots$
5390.2.a.g	$5390$	$2$	5390.a	1.a	$1$	$1$	$1$	$43.039$	$\Q$	None	✓	$1$	$0$	$-1$	$-1$	$1$	$0$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{8}+\cdots$
5390.2.a.h	$5390$	$2$	5390.a	1.a	$1$	$1$	$1$	$43.039$	$\Q$	None	✓	$1$	$0$	$-1$	$-1$	$1$	$0$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{8}+\cdots$
5390.2.a.i	$5390$	$2$	5390.a	1.a	$1$	$1$	$1$	$43.039$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$-1$	$0$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}-q^{8}-3q^{9}+q^{10}+\cdots$
5390.2.a.j	$5390$	$2$	5390.a	1.a	$1$	$1$	$1$	$43.039$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$-1$	$0$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}-q^{8}-3q^{9}+q^{10}+\cdots$
5390.2.a.k	$5390$	$2$	5390.a	1.a	$1$	$1$	$1$	$43.039$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$-1$	$0$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}-q^{8}-3q^{9}+q^{10}+\cdots$
5390.2.a.l	$5390$	$2$	5390.a	1.a	$1$	$1$	$1$	$43.039$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$1$	$0$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}-q^{8}-3q^{9}-q^{10}+\cdots$
5390.2.a.m	$5390$	$2$	5390.a	1.a	$1$	$1$	$1$	$43.039$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$-1$	$0$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{8}+\cdots$
5390.2.a.n	$5390$	$2$	5390.a	1.a	$1$	$1$	$1$	$43.039$	$\Q$	None	✓	$1$	$1$	$-1$	$1$	$1$	$0$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{8}+\cdots$
5390.2.a.o	$5390$	$2$	5390.a	1.a	$1$	$1$	$1$	$43.039$	$\Q$	None	✓	$1$	$1$	$-1$	$1$	$1$	$0$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{8}+\cdots$
5390.2.a.p	$5390$	$2$	5390.a	1.a	$1$	$1$	$1$	$43.039$	$\Q$	None	✓	$1$	$1$	$-1$	$1$	$1$	$0$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{8}+\cdots$
5390.2.a.q	$5390$	$2$	5390.a	1.a	$1$	$1$	$1$	$43.039$	$\Q$	None	✓	$1$	$1$	$-1$	$2$	$-1$	$0$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+2q^{3}+q^{4}-q^{5}-2q^{6}-q^{8}+\cdots$
5390.2.a.r	$5390$	$2$	5390.a	1.a	$1$	$1$	$1$	$43.039$	$\Q$	None	✓	$1$	$1$	$-1$	$2$	$1$	$0$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+2q^{3}+q^{4}+q^{5}-2q^{6}-q^{8}+\cdots$
5390.2.a.s	$5390$	$2$	5390.a	1.a	$1$	$1$	$1$	$43.039$	$\Q$	None	✓	$1$	$0$	$-1$	$3$	$-1$	$0$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+3q^{3}+q^{4}-q^{5}-3q^{6}-q^{8}+\cdots$
5390.2.a.t	$5390$	$2$	5390.a	1.a	$1$	$1$	$1$	$43.039$	$\Q$	None	✓	$1$	$0$	$-1$	$3$	$1$	$0$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+3q^{3}+q^{4}+q^{5}-3q^{6}-q^{8}+\cdots$
5390.2.a.u	$5390$	$2$	5390.a	1.a	$1$	$1$	$1$	$43.039$	$\Q$	None	✓	$1$	$0$	$1$	$-2$	$1$	$0$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-2q^{3}+q^{4}+q^{5}-2q^{6}+q^{8}+\cdots$
5390.2.a.v	$5390$	$2$	5390.a	1.a	$1$	$1$	$1$	$43.039$	$\Q$	None	✓	$1$	$1$	$1$	$-2$	$1$	$0$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-2q^{3}+q^{4}+q^{5}-2q^{6}+q^{8}+\cdots$
5390.2.a.w	$5390$	$2$	5390.a	1.a	$1$	$1$	$1$	$43.039$	$\Q$	None	✓	$1$	$1$	$1$	$-1$	$1$	$0$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots$
5390.2.a.x	$5390$	$2$	5390.a	1.a	$1$	$1$	$1$	$43.039$	$\Q$	None	✓	$1$	$0$	$1$	$-1$	$1$	$0$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots$
5390.2.a.y	$5390$	$2$	5390.a	1.a	$1$	$1$	$1$	$43.039$	$\Q$	None	✓	$1$	$1$	$1$	$-1$	$1$	$0$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots$
5390.2.a.z	$5390$	$2$	5390.a	1.a	$1$	$1$	$1$	$43.039$	$\Q$	None	✓	$1$	$1$	$1$	$-1$	$1$	$0$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots$
5390.2.a.ba	$5390$	$2$	5390.a	1.a	$1$	$1$	$1$	$43.039$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$-1$	$0$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}+q^{8}-3q^{9}-q^{10}+\cdots$
5390.2.a.bb	$5390$	$2$	5390.a	1.a	$1$	$1$	$1$	$43.039$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$1$	$0$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+q^{8}-3q^{9}+q^{10}+\cdots$
5390.2.a.bc	$5390$	$2$	5390.a	1.a	$1$	$1$	$1$	$43.039$	$\Q$	None	✓	$1$	$1$	$1$	$1$	$-1$	$0$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots$
5390.2.a.bd	$5390$	$2$	5390.a	1.a	$1$	$1$	$1$	$43.039$	$\Q$	None	✓	$1$	$1$	$1$	$1$	$-1$	$0$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots$
5390.2.a.be	$5390$	$2$	5390.a	1.a	$1$	$1$	$1$	$43.039$	$\Q$	None	✓	$1$	$1$	$1$	$1$	$-1$	$0$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots$
5390.2.a.bf	$5390$	$2$	5390.a	1.a	$1$	$1$	$1$	$43.039$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$-1$	$0$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots$
5390.2.a.bg	$5390$	$2$	5390.a	1.a	$1$	$1$	$1$	$43.039$	$\Q$	None	✓	$1$	$1$	$1$	$2$	$-1$	$0$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+2q^{3}+q^{4}-q^{5}+2q^{6}+q^{8}+\cdots$
5390.2.a.bh	$5390$	$2$	5390.a	1.a	$1$	$1$	$1$	$43.039$	$\Q$	None	✓	$1$	$1$	$1$	$2$	$-1$	$0$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+2q^{3}+q^{4}-q^{5}+2q^{6}+q^{8}+\cdots$
5390.2.a.bi	$5390$	$2$	5390.a	1.a	$1$	$1$	$1$	$43.039$	$\Q$	None	✓	$1$	$0$	$1$	$2$	$-1$	$0$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+2q^{3}+q^{4}-q^{5}+2q^{6}+q^{8}+\cdots$
5390.2.a.bj	$5390$	$2$	5390.a	1.a	$1$	$1$	$1$	$43.039$	$\Q$	None	✓	$1$	$0$	$1$	$2$	$1$	$0$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+2q^{3}+q^{4}+q^{5}+2q^{6}+q^{8}+\cdots$
5390.2.a.bk	$5390$	$2$	5390.a	1.a	$1$	$2$	$2$	$43.039$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$-2$	$-2$	$-2$	$0$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(-1+\beta )q^{3}+q^{4}-q^{5}+(1+\cdots)q^{6}+\cdots$
5390.2.a.bl	$5390$	$2$	5390.a	1.a	$1$	$2$	$2$	$43.039$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$-2$	$0$	$-2$	$0$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+\beta q^{3}+q^{4}-q^{5}-\beta q^{6}-q^{8}+\cdots$
5390.2.a.bm	$5390$	$2$	5390.a	1.a	$1$	$2$	$2$	$43.039$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$-2$	$0$	$-2$	$0$	$+$	$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+\beta q^{3}+q^{4}-q^{5}-\beta q^{6}-q^{8}+\cdots$
5390.2.a.bn	$5390$	$2$	5390.a	1.a	$1$	$2$	$2$	$43.039$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$-2$	$0$	$2$	$0$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+\beta q^{3}+q^{4}+q^{5}-\beta q^{6}-q^{8}+\cdots$
5390.2.a.bo	$5390$	$2$	5390.a	1.a	$1$	$2$	$2$	$43.039$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$-2$	$0$	$2$	$0$	$+$	$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+\beta q^{3}+q^{4}+q^{5}-\beta q^{6}-q^{8}+\cdots$
5390.2.a.bp	$5390$	$2$	5390.a	1.a	$1$	$2$	$2$	$43.039$	$\Q(\sqrt{33}) $	None	✓	$1$	$0$	$-2$	$1$	$-2$	$0$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+\beta q^{3}+q^{4}-q^{5}-\beta q^{6}-q^{8}+\cdots$
5390.2.a.bq	$5390$	$2$	5390.a	1.a	$1$	$2$	$2$	$43.039$	$\Q(\sqrt{33}) $	None	✓	$1$	$1$	$2$	$-4$	$-2$	$0$	$-$	$+$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	$q+q^{2}-2q^{3}+q^{4}-q^{5}-2q^{6}+q^{8}+\cdots$
5390.2.a.br	$5390$	$2$	5390.a	1.a	$1$	$2$	$2$	$43.039$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$2$	$-4$	$-2$	$0$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(-2+\beta )q^{3}+q^{4}-q^{5}+(-2+\cdots)q^{6}+\cdots$
5390.2.a.bs	$5390$	$2$	5390.a	1.a	$1$	$2$	$2$	$43.039$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$2$	$-2$	$2$	$0$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(-1+\beta )q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots$
5390.2.a.bt	$5390$	$2$	5390.a	1.a	$1$	$2$	$2$	$43.039$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$2$	$0$	$2$	$0$	$-$	$-$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+\beta q^{3}+q^{4}+q^{5}+\beta q^{6}+q^{8}+\cdots$
5390.2.a.bu	$5390$	$2$	5390.a	1.a	$1$	$2$	$2$	$43.039$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$2$	$4$	$2$	$0$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(2+\beta )q^{3}+q^{4}+q^{5}+(2+\beta )q^{6}+\cdots$
5390.2.a.bv	$5390$	$2$	5390.a	1.a	$1$	$3$	$3$	$43.039$	$\Q(\zeta_{18})^+$	None	✓	$1$	$0$	$-3$	$0$	$-3$	$0$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-\beta _{1}q^{3}+q^{4}-q^{5}+\beta _{1}q^{6}+\cdots$
5390.2.a.bw	$5390$	$2$	5390.a	1.a	$1$	$3$	$3$	$43.039$	$\Q(\zeta_{14})^+$	None	✓	$1$	$0$	$-3$	$0$	$-3$	$0$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(1-2\beta _{1}+\beta _{2})q^{3}+q^{4}-q^{5}+\cdots$
5390.2.a.bx	$5390$	$2$	5390.a	1.a	$1$	$3$	$3$	$43.039$	$\Q(\zeta_{18})^+$	None	✓	$1$	$0$	$-3$	$0$	$3$	$0$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+\beta _{1}q^{3}+q^{4}+q^{5}-\beta _{1}q^{6}+\cdots$

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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.