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 100 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	7	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
6720.2.a.a	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				3360.2.a.i	$1$	$2$	$0$	$-1$	$-1$	$-1$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-q^{7}+q^{9}-4q^{11}-6q^{13}+\cdots$
6720.2.a.b	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				840.2.a.j	$1$	$1$	$0$	$-1$	$-1$	$-1$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots$
6720.2.a.c	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				3360.2.a.h	$1$	$0$	$0$	$-1$	$-1$	$-1$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-q^{7}+q^{9}-4q^{11}+6q^{13}+\cdots$
6720.2.a.d	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				420.2.a.b	$1$	$0$	$0$	$-1$	$-1$	$-1$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-q^{7}+q^{9}-2q^{11}-4q^{13}+\cdots$
6720.2.a.e	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				420.2.a.d	$1$	$1$	$0$	$-1$	$-1$	$-1$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-q^{7}+q^{9}-2q^{11}-4q^{13}+\cdots$
6720.2.a.f	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				3360.2.a.j	$1$	$0$	$0$	$-1$	$-1$	$-1$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-q^{7}+q^{9}-2q^{11}+4q^{13}+\cdots$
6720.2.a.g	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				3360.2.a.k	$1$	$1$	$0$	$-1$	$-1$	$-1$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-q^{7}+q^{9}-2q^{13}+q^{15}+\cdots$
6720.2.a.h	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				840.2.a.f	$1$	$0$	$0$	$-1$	$-1$	$-1$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots$
6720.2.a.i	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				3360.2.a.l	$1$	$1$	$0$	$-1$	$-1$	$-1$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots$
6720.2.a.j	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				210.2.a.e	$1$	$1$	$0$	$-1$	$-1$	$-1$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots$
6720.2.a.k	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				210.2.a.c	$1$	$0$	$0$	$-1$	$-1$	$-1$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots$
6720.2.a.l	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				3360.2.a.m	$1$	$0$	$0$	$-1$	$-1$	$-1$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-q^{7}+q^{9}+6q^{11}-4q^{13}+\cdots$
6720.2.a.m	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				840.2.a.d	$1$	$1$	$0$	$-1$	$-1$	$1$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots$
6720.2.a.n	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				210.2.a.b	$1$	$0$	$0$	$-1$	$-1$	$1$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+q^{7}+q^{9}-2q^{13}+q^{15}+\cdots$
6720.2.a.o	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				840.2.a.e	$1$	$1$	$0$	$-1$	$-1$	$1$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+q^{7}+q^{9}-2q^{13}+q^{15}+\cdots$
6720.2.a.p	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				105.2.a.a	$1$	$0$	$0$	$-1$	$-1$	$1$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+q^{7}+q^{9}+6q^{13}+q^{15}+\cdots$
6720.2.a.q	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				3360.2.a.g	$1$	$0$	$0$	$-1$	$-1$	$1$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots$
6720.2.a.r	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				840.2.a.b	$1$	$1$	$0$	$-1$	$1$	$-1$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-q^{7}+q^{9}-4q^{11}-2q^{13}+\cdots$
6720.2.a.s	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				840.2.a.h	$1$	$0$	$0$	$-1$	$1$	$-1$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-q^{7}+q^{9}-6q^{13}-q^{15}+\cdots$
6720.2.a.t	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				3360.2.a.e	$1$	$1$	$0$	$-1$	$1$	$-1$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-q^{7}+q^{9}-2q^{13}-q^{15}+\cdots$
6720.2.a.u	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				840.2.a.c	$1$	$1$	$0$	$-1$	$1$	$-1$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-q^{7}+q^{9}+2q^{13}-q^{15}+\cdots$
6720.2.a.v	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				3360.2.a.f	$1$	$1$	$0$	$-1$	$1$	$-1$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-q^{7}+q^{9}+4q^{11}-2q^{13}+\cdots$
6720.2.a.w	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				840.2.a.g	$1$	$0$	$0$	$-1$	$1$	$-1$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-q^{7}+q^{9}+4q^{11}+6q^{13}+\cdots$
6720.2.a.x	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				420.2.a.c	$1$	$1$	$0$	$-1$	$1$	$1$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{7}+q^{9}-6q^{11}+4q^{13}+\cdots$
6720.2.a.y	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				3360.2.a.a	$1$	$1$	$0$	$-1$	$1$	$1$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{7}+q^{9}-4q^{11}-6q^{13}+\cdots$
6720.2.a.z	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				210.2.a.a	$1$	$0$	$0$	$-1$	$1$	$1$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots$
6720.2.a.ba	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				3360.2.a.b	$1$	$0$	$0$	$-1$	$1$	$1$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{7}+q^{9}-2q^{11}-q^{15}+\cdots$
6720.2.a.bb	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				210.2.a.d	$1$	$1$	$0$	$-1$	$1$	$1$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{7}+q^{9}-2q^{13}-q^{15}+\cdots$
6720.2.a.bc	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				840.2.a.i	$1$	$1$	$0$	$-1$	$1$	$1$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{7}+q^{9}-2q^{13}-q^{15}+\cdots$
6720.2.a.bd	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				420.2.a.a	$1$	$0$	$0$	$-1$	$1$	$1$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{7}+q^{9}+2q^{11}-4q^{13}+\cdots$
6720.2.a.be	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				840.2.a.a	$1$	$0$	$0$	$-1$	$1$	$1$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots$
6720.2.a.bf	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				3360.2.a.d	$1$	$1$	$0$	$-1$	$1$	$1$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots$
6720.2.a.bg	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				3360.2.a.c	$1$	$0$	$0$	$-1$	$1$	$1$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{7}+q^{9}+4q^{11}+6q^{13}+\cdots$
6720.2.a.bh	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				3360.2.a.g	$1$	$0$	$0$	$1$	$-1$	$-1$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots$
6720.2.a.bi	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				210.2.a.b	$1$	$1$	$0$	$1$	$-1$	$-1$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-q^{7}+q^{9}-2q^{13}-q^{15}+\cdots$
6720.2.a.bj	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				840.2.a.e	$1$	$0$	$0$	$1$	$-1$	$-1$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-q^{7}+q^{9}-2q^{13}-q^{15}+\cdots$
6720.2.a.bk	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				105.2.a.a	$1$	$1$	$0$	$1$	$-1$	$-1$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-q^{7}+q^{9}+6q^{13}-q^{15}+\cdots$
6720.2.a.bl	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				840.2.a.d	$1$	$0$	$0$	$1$	$-1$	$-1$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots$
6720.2.a.bm	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				3360.2.a.m	$1$	$0$	$0$	$1$	$-1$	$1$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+q^{7}+q^{9}-6q^{11}-4q^{13}+\cdots$
6720.2.a.bn	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				840.2.a.f	$1$	$1$	$0$	$1$	$-1$	$1$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots$
6720.2.a.bo	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				3360.2.a.l	$1$	$1$	$0$	$1$	$-1$	$1$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots$
6720.2.a.bp	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				210.2.a.c	$1$	$1$	$0$	$1$	$-1$	$1$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots$
6720.2.a.bq	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				210.2.a.e	$1$	$0$	$0$	$1$	$-1$	$1$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots$
6720.2.a.br	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				3360.2.a.k	$1$	$1$	$0$	$1$	$-1$	$1$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+q^{7}+q^{9}-2q^{13}-q^{15}+\cdots$
6720.2.a.bs	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				420.2.a.d	$1$	$0$	$0$	$1$	$-1$	$1$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+q^{7}+q^{9}+2q^{11}-4q^{13}+\cdots$
6720.2.a.bt	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				420.2.a.b	$1$	$1$	$0$	$1$	$-1$	$1$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+q^{7}+q^{9}+2q^{11}-4q^{13}+\cdots$
6720.2.a.bu	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				3360.2.a.j	$1$	$0$	$0$	$1$	$-1$	$1$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+q^{7}+q^{9}+2q^{11}+4q^{13}+\cdots$
6720.2.a.bv	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				3360.2.a.i	$1$	$0$	$0$	$1$	$-1$	$1$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+q^{7}+q^{9}+4q^{11}-6q^{13}+\cdots$
6720.2.a.bw	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				840.2.a.j	$1$	$0$	$0$	$1$	$-1$	$1$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots$
6720.2.a.bx	$6720$	$2$	6720.a	1.a	$1$	$1$	$1$	$53.659$	$\Q$	None	✓				3360.2.a.h	$1$	$0$	$0$	$1$	$-1$	$1$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+q^{7}+q^{9}+4q^{11}+6q^{13}+\cdots$

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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.