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 55 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	3	5	7	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
9450.2.a.d	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$-1$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{7}-q^{8}-5q^{11}+q^{13}+\cdots$
9450.2.a.e	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$-1$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{7}-q^{8}-3q^{11}-5q^{13}+\cdots$
9450.2.a.g	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$-1$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{7}-q^{8}-3q^{11}+q^{13}+\cdots$
9450.2.a.h	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$-1$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{7}-q^{8}-3q^{11}+4q^{13}+\cdots$
9450.2.a.k	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$-1$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{7}-q^{8}-q^{11}+3q^{13}+\cdots$
9450.2.a.l	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$-1$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{7}-q^{8}-5q^{13}+q^{14}+\cdots$
9450.2.a.m	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$-1$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{7}-q^{8}-5q^{13}+q^{14}+\cdots$
9450.2.a.p	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$-1$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{7}-q^{8}+7q^{13}+q^{14}+\cdots$
9450.2.a.q	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$-1$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{7}-q^{8}+q^{11}-5q^{13}+\cdots$
9450.2.a.v	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$-1$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{7}-q^{8}+3q^{11}+q^{13}+\cdots$
9450.2.a.w	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$-1$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{7}-q^{8}+4q^{11}-6q^{13}+\cdots$
9450.2.a.z	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$-1$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{7}-q^{8}+6q^{11}+4q^{13}+\cdots$
9450.2.a.bb	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$1$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}-5q^{11}+5q^{13}+\cdots$
9450.2.a.bc	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$1$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}-4q^{11}-3q^{13}+\cdots$
9450.2.a.bd	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$1$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}-4q^{11}+q^{13}+\cdots$
9450.2.a.be	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$1$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}-4q^{11}+6q^{13}+\cdots$
9450.2.a.bg	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$1$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}-2q^{11}-q^{14}+\cdots$
9450.2.a.bn	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$1$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}-q^{13}-q^{14}+\cdots$
9450.2.a.bp	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$1$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}+q^{11}-3q^{13}+\cdots$
9450.2.a.bq	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$1$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}+q^{11}-3q^{13}+\cdots$
9450.2.a.bt	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$1$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}+3q^{11}-5q^{13}+\cdots$
9450.2.a.bu	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$1$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}+3q^{11}-q^{13}+\cdots$
9450.2.a.bw	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$1$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}+5q^{11}-q^{13}+\cdots$
9450.2.a.bx	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$1$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}+5q^{11}-q^{14}+\cdots$
9450.2.a.cd	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$-1$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{7}+q^{8}-4q^{11}-q^{13}+\cdots$
9450.2.a.cf	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$-1$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{7}+q^{8}-3q^{11}+q^{13}+\cdots$
9450.2.a.ci	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$-1$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{7}+q^{8}-q^{11}-5q^{13}+\cdots$
9450.2.a.cl	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$-1$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{7}+q^{8}-5q^{13}-q^{14}+\cdots$
9450.2.a.cm	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$-1$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{7}+q^{8}+q^{13}-q^{14}+\cdots$
9450.2.a.cn	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$-1$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{7}+q^{8}+2q^{13}-q^{14}+\cdots$
9450.2.a.cp	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$-1$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{7}+q^{8}+q^{11}+3q^{13}+\cdots$
9450.2.a.cs	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$-1$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{7}+q^{8}+3q^{11}-q^{13}+\cdots$
9450.2.a.ct	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$-1$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{7}+q^{8}+3q^{11}+q^{13}+\cdots$
9450.2.a.de	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$1$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{7}+q^{8}-3q^{11}-5q^{13}+\cdots$
9450.2.a.df	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$1$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{7}+q^{8}-3q^{11}-q^{13}+\cdots$
9450.2.a.dg	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$1$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{7}+q^{8}-3q^{11}+q^{13}+\cdots$
9450.2.a.dh	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$1$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{7}+q^{8}-2q^{11}-4q^{13}+\cdots$
9450.2.a.di	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$1$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{7}+q^{8}-q^{11}-3q^{13}+\cdots$
9450.2.a.dj	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$1$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{7}+q^{8}-q^{11}-3q^{13}+\cdots$
9450.2.a.dk	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$1$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{7}+q^{8}-q^{11}+3q^{13}+\cdots$
9450.2.a.dl	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$1$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{7}+q^{8}-7q^{13}+q^{14}+\cdots$
9450.2.a.dm	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$1$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{7}+q^{8}-2q^{13}+q^{14}+\cdots$
9450.2.a.do	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$1$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{7}+q^{8}+5q^{13}+q^{14}+\cdots$
9450.2.a.dv	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$1$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{7}+q^{8}+4q^{11}-3q^{13}+\cdots$
9450.2.a.ea	$9450$	$2$	9450.a	1.a	$1$	$2$	$2$	$75.459$	$\Q(\sqrt{6}) $	None	✓	$1$	$1$	$-2$	$0$	$0$	$-2$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{7}-q^{8}+\beta q^{11}+(-1+\cdots)q^{13}+\cdots$
9450.2.a.eb	$9450$	$2$	9450.a	1.a	$1$	$2$	$2$	$75.459$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$-2$	$0$	$0$	$-2$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{7}-q^{8}+\beta q^{11}+(2+\cdots)q^{13}+\cdots$
9450.2.a.ec	$9450$	$2$	9450.a	1.a	$1$	$2$	$2$	$75.459$	$\Q(\sqrt{7}) $	None	✓	$1$	$1$	$-2$	$0$	$0$	$-2$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{7}-q^{8}+2\beta q^{11}+(2+\cdots)q^{13}+\cdots$
9450.2.a.eg	$9450$	$2$	9450.a	1.a	$1$	$2$	$2$	$75.459$	$\Q(\sqrt{10}) $	None	✓	$1$	$1$	$-2$	$0$	$0$	$2$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}+(-2+\beta )q^{11}+\cdots$
9450.2.a.eh	$9450$	$2$	9450.a	1.a	$1$	$2$	$2$	$75.459$	$\Q(\sqrt{10}) $	None	✓	$1$	$1$	$-2$	$0$	$0$	$2$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}-2q^{11}+(1+\cdots)q^{13}+\cdots$
9450.2.a.ei	$9450$	$2$	9450.a	1.a	$1$	$2$	$2$	$75.459$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$-2$	$0$	$0$	$2$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}+\beta q^{11}+(-2+\cdots)q^{13}+\cdots$

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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.