LMFDB - Newform search results

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Level	Weight	Analytic conductor	Analytic rank	Dim.

Bad $p$	Char.	Primitive character	Character order	Is maximal/largest

Coefficient field	Self-twists	CM/RM discriminant	Inner twist count	Is self-dual

Coefficient ring index	Coefficient ring gens.	Is twist minimal	Projective image

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Results (1-50 of 137 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	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	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	2	3	5	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
5760.2.a.a	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓				1920.2.a.f	$1$	$2$	$0$	$0$	$-1$	$-4$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-4q^{7}-6q^{11}-4q^{13}-4q^{17}+\cdots$
5760.2.a.b	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓				1920.2.a.a	$1$	$1$	$0$	$0$	$-1$	$-4$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-4q^{7}+2q^{11}+8q^{23}+q^{25}+\cdots$
5760.2.a.c	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓				1920.2.a.b	$1$	$0$	$0$	$0$	$-1$	$-2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-2q^{7}-6q^{11}+2q^{13}+2q^{17}+\cdots$
5760.2.a.d	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓	✓			5760.2.a.d	$1$	$1$	$0$	$0$	$-1$	$-2$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-2q^{7}-2q^{13}+4q^{19}+q^{25}+\cdots$
5760.2.a.e	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓	✓			5760.2.a.d	$1$	$1$	$0$	$0$	$-1$	$-2$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-2q^{7}+2q^{13}-4q^{19}+q^{25}+\cdots$
5760.2.a.f	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓				1920.2.a.c	$1$	$1$	$0$	$0$	$-1$	$-2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-2q^{7}+2q^{11}-6q^{13}+6q^{17}+\cdots$
5760.2.a.g	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓				1920.2.a.e	$1$	$0$	$0$	$0$	$-1$	$-2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-2q^{7}+2q^{11}+2q^{13}+2q^{17}+\cdots$
5760.2.a.h	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓				640.2.a.c	$1$	$0$	$0$	$0$	$-1$	$-2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-2q^{7}+6q^{11}+2q^{13}+6q^{17}+\cdots$
5760.2.a.i	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓	✓			5760.2.a.i	$1$	$0$	$0$	$0$	$-1$	$0$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-4q^{11}-4q^{13}-6q^{17}+6q^{19}+\cdots$
5760.2.a.j	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓	✓			5760.2.a.i	$1$	$1$	$0$	$0$	$-1$	$0$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-4q^{11}+4q^{13}+6q^{17}-6q^{19}+\cdots$
5760.2.a.k	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓				640.2.a.a	$1$	$1$	$0$	$0$	$-1$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-2q^{11}-2q^{13}-6q^{17}+6q^{19}+\cdots$
5760.2.a.l	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓				1920.2.a.d	$1$	$1$	$0$	$0$	$-1$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-2q^{11}+4q^{13}+q^{25}-2q^{29}+\cdots$
5760.2.a.m	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓				640.2.a.a	$1$	$0$	$0$	$0$	$-1$	$0$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+2q^{11}-2q^{13}-6q^{17}-6q^{19}+\cdots$
5760.2.a.n	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓				1920.2.a.d	$1$	$0$	$0$	$0$	$-1$	$0$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+2q^{11}+4q^{13}+q^{25}-2q^{29}+\cdots$
5760.2.a.o	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓	✓			5760.2.a.i	$1$	$0$	$0$	$0$	$-1$	$0$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+4q^{11}-4q^{13}-6q^{17}-6q^{19}+\cdots$
5760.2.a.p	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓	✓			5760.2.a.i	$1$	$0$	$0$	$0$	$-1$	$0$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+4q^{11}+4q^{13}+6q^{17}+6q^{19}+\cdots$
5760.2.a.q	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓				640.2.a.c	$1$	$1$	$0$	$0$	$-1$	$2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+2q^{7}-6q^{11}+2q^{13}+6q^{17}+\cdots$
5760.2.a.r	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓				1920.2.a.c	$1$	$0$	$0$	$0$	$-1$	$2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+2q^{7}-2q^{11}-6q^{13}+6q^{17}+\cdots$
5760.2.a.s	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓				1920.2.a.e	$1$	$0$	$0$	$0$	$-1$	$2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+2q^{7}-2q^{11}+2q^{13}+2q^{17}+\cdots$
5760.2.a.t	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓	✓			5760.2.a.d	$1$	$1$	$0$	$0$	$-1$	$2$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+2q^{7}-2q^{13}-4q^{19}+q^{25}+\cdots$
5760.2.a.u	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓	✓			5760.2.a.d	$1$	$0$	$0$	$0$	$-1$	$2$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+2q^{7}+2q^{13}+4q^{19}+q^{25}+\cdots$
5760.2.a.v	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓				1920.2.a.b	$1$	$0$	$0$	$0$	$-1$	$2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+2q^{7}+6q^{11}+2q^{13}+2q^{17}+\cdots$
5760.2.a.w	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓				1920.2.a.a	$1$	$1$	$0$	$0$	$-1$	$4$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+4q^{7}-2q^{11}-8q^{23}+q^{25}+\cdots$
5760.2.a.x	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓				1920.2.a.f	$1$	$0$	$0$	$0$	$-1$	$4$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+4q^{7}+6q^{11}-4q^{13}-4q^{17}+\cdots$
5760.2.a.y	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓				1920.2.a.a	$1$	$1$	$0$	$0$	$1$	$-4$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-4q^{7}-2q^{11}+8q^{23}+q^{25}+\cdots$
5760.2.a.z	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓				1920.2.a.f	$1$	$0$	$0$	$0$	$1$	$-4$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-4q^{7}+6q^{11}+4q^{13}-4q^{17}+\cdots$
5760.2.a.ba	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓				640.2.a.c	$1$	$0$	$0$	$0$	$1$	$-2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-2q^{7}-6q^{11}-2q^{13}+6q^{17}+\cdots$
5760.2.a.bb	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓				1920.2.a.e	$1$	$1$	$0$	$0$	$1$	$-2$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-2q^{7}-2q^{11}-2q^{13}+2q^{17}+\cdots$
5760.2.a.bc	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓				1920.2.a.c	$1$	$0$	$0$	$0$	$1$	$-2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-2q^{7}-2q^{11}+6q^{13}+6q^{17}+\cdots$
5760.2.a.bd	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓	✓			5760.2.a.d	$1$	$1$	$0$	$0$	$1$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-2q^{7}-2q^{13}+4q^{19}+q^{25}+\cdots$
5760.2.a.be	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓	✓			5760.2.a.d	$1$	$1$	$0$	$0$	$1$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-2q^{7}+2q^{13}-4q^{19}+q^{25}+\cdots$
5760.2.a.bf	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓				1920.2.a.b	$1$	$1$	$0$	$0$	$1$	$-2$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-2q^{7}+6q^{11}-2q^{13}+2q^{17}+\cdots$
5760.2.a.bg	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓	✓			5760.2.a.i	$1$	$0$	$0$	$0$	$1$	$0$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-4q^{11}-4q^{13}+6q^{17}-6q^{19}+\cdots$
5760.2.a.bh	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓	✓			5760.2.a.i	$1$	$0$	$0$	$0$	$1$	$0$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-4q^{11}+4q^{13}-6q^{17}+6q^{19}+\cdots$
5760.2.a.bi	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓				1920.2.a.d	$1$	$1$	$0$	$0$	$1$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-2q^{11}-4q^{13}+q^{25}+2q^{29}+\cdots$
5760.2.a.bj	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓				640.2.a.a	$1$	$1$	$0$	$0$	$1$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-2q^{11}+2q^{13}-6q^{17}+6q^{19}+\cdots$
5760.2.a.bk	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓				1920.2.a.d	$1$	$1$	$0$	$0$	$1$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+2q^{11}-4q^{13}+q^{25}+2q^{29}+\cdots$
5760.2.a.bl	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓				640.2.a.a	$1$	$1$	$0$	$0$	$1$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+2q^{11}+2q^{13}-6q^{17}-6q^{19}+\cdots$
5760.2.a.bm	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓	✓			5760.2.a.i	$1$	$0$	$0$	$0$	$1$	$0$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+4q^{11}-4q^{13}+6q^{17}+6q^{19}+\cdots$
5760.2.a.bn	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓	✓			5760.2.a.i	$1$	$1$	$0$	$0$	$1$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+4q^{11}+4q^{13}-6q^{17}-6q^{19}+\cdots$
5760.2.a.bo	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓				1920.2.a.b	$1$	$0$	$0$	$0$	$1$	$2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+2q^{7}-6q^{11}-2q^{13}+2q^{17}+\cdots$
5760.2.a.bp	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓	✓			5760.2.a.d	$1$	$1$	$0$	$0$	$1$	$2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+2q^{7}-2q^{13}-4q^{19}+q^{25}+\cdots$
5760.2.a.bq	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓	✓			5760.2.a.d	$1$	$0$	$0$	$0$	$1$	$2$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+2q^{7}+2q^{13}+4q^{19}+q^{25}+\cdots$
5760.2.a.br	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓				1920.2.a.e	$1$	$0$	$0$	$0$	$1$	$2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+2q^{7}+2q^{11}-2q^{13}+2q^{17}+\cdots$
5760.2.a.bs	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓				1920.2.a.c	$1$	$0$	$0$	$0$	$1$	$2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+2q^{7}+2q^{11}+6q^{13}+6q^{17}+\cdots$
5760.2.a.bt	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓				640.2.a.c	$1$	$0$	$0$	$0$	$1$	$2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+2q^{7}+6q^{11}-2q^{13}+6q^{17}+\cdots$
5760.2.a.bu	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓				1920.2.a.f	$1$	$1$	$0$	$0$	$1$	$4$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+4q^{7}-6q^{11}+4q^{13}-4q^{17}+\cdots$
5760.2.a.bv	$5760$	$2$	5760.a	1.a	$1$	$1$	$1$	$45.994$	$\Q$	None	✓				1920.2.a.a	$1$	$0$	$0$	$0$	$1$	$4$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+4q^{7}+2q^{11}-8q^{23}+q^{25}+\cdots$
5760.2.a.bw	$5760$	$2$	5760.a	1.a	$1$	$2$	$2$	$45.994$	$\Q(\sqrt{5}) $	None	✓				640.2.a.i	$1$	$1$	$0$	$0$	$-2$	$-2$	$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	$q-q^{5}+(-1-\beta )q^{7}-2q^{11}+2\beta q^{13}+\cdots$
5760.2.a.bx	$5760$	$2$	5760.a	1.a	$1$	$2$	$2$	$45.994$	$\Q(\sqrt{17}) $	None	✓				1920.2.a.y	$1$	$1$	$0$	$0$	$-2$	$-2$	$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	$q-q^{5}+(-1-\beta )q^{7}+2q^{11}+(1+\beta )q^{13}+\cdots$

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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.