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 83 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	5	23	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
9200.2.a.a	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	$\Q$	None	✓				1150.2.a.d	$1$	$2$	$0$	$-3$	$0$	$-4$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{3}-4q^{7}+6q^{9}-3q^{11}-6q^{13}+\cdots$
9200.2.a.b	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	$\Q$	None	✓				92.2.a.a	$1$	$1$	$0$	$-3$	$0$	$-4$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{3}-4q^{7}+6q^{9}-2q^{11}+5q^{13}+\cdots$
9200.2.a.c	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	$\Q$	None	✓				920.2.a.a	$1$	$0$	$0$	$-3$	$0$	$-2$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{3}-2q^{7}+6q^{9}-q^{13}+6q^{21}+\cdots$
9200.2.a.d	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	$\Q$	None	✓				920.2.e.a	$1$	$0$	$0$	$-2$	$0$	$-3$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}-3q^{7}+q^{9}+6q^{13}+7q^{17}+\cdots$
9200.2.a.e	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	$\Q$	None	✓				1150.2.a.c	$1$	$0$	$0$	$-2$	$0$	$-1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}-q^{7}+q^{9}-5q^{11}+7q^{13}+\cdots$
9200.2.a.f	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	$\Q$	None	✓				1150.2.a.a	$1$	$1$	$0$	$-2$	$0$	$-1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}-q^{7}+q^{9}-3q^{11}+q^{13}+\cdots$
9200.2.a.g	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	$\Q$	None	✓				115.2.b.a	$1$	$0$	$0$	$-2$	$0$	$-1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}-q^{7}+q^{9}+2q^{13}-5q^{17}+\cdots$
9200.2.a.h	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	$\Q$	None	✓				2300.2.a.b	$1$	$0$	$0$	$-2$	$0$	$-1$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}-q^{7}+q^{9}+3q^{11}-5q^{13}+\cdots$
9200.2.a.i	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	$\Q$	None	✓				4600.2.a.c	$1$	$0$	$0$	$-2$	$0$	$1$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}+q^{7}+q^{9}+5q^{11}-q^{13}+\cdots$
9200.2.a.j	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	$\Q$	None	✓				4600.2.a.d	$1$	$1$	$0$	$-2$	$0$	$3$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}+3q^{7}+q^{9}-5q^{11}-5q^{13}+\cdots$
9200.2.a.k	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	$\Q$	None	✓				4600.2.a.e	$1$	$2$	$0$	$-1$	$0$	$-4$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-4q^{7}-2q^{9}-3q^{11}-2q^{13}+\cdots$
9200.2.a.l	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	$\Q$	None	✓				184.2.a.b	$1$	$1$	$0$	$-1$	$0$	$-4$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-4q^{7}-2q^{9}+2q^{11}-7q^{13}+\cdots$
9200.2.a.m	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	$\Q$	None	✓				460.2.a.a	$1$	$0$	$0$	$-1$	$0$	$-2$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-2q^{7}-2q^{9}+4q^{11}-q^{13}+\cdots$
9200.2.a.n	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	$\Q$	None	✓				920.2.a.b	$1$	$1$	$0$	$-1$	$0$	$0$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-2q^{9}-2q^{11}+5q^{13}+4q^{17}+\cdots$
9200.2.a.o	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	$\Q$	None	✓				184.2.a.a	$1$	$0$	$0$	$-1$	$0$	$2$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+2q^{7}-2q^{9}+4q^{11}+5q^{13}+\cdots$
9200.2.a.p	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	$\Q$	None	✓				46.2.a.a	$1$	$1$	$0$	$0$	$0$	$-4$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-4q^{7}-3q^{9}-2q^{11}+2q^{13}+2q^{17}+\cdots$
9200.2.a.q	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	$\Q$	None	✓				460.2.a.b	$1$	$2$	$0$	$0$	$0$	$-1$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{7}-3q^{9}-6q^{11}-6q^{13}-7q^{17}+\cdots$
9200.2.a.r	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	$\Q$	None	✓				575.2.a.c	$1$	$1$	$0$	$0$	$0$	$-1$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{7}-3q^{9}+q^{11}+q^{13}+5q^{19}+\cdots$
9200.2.a.s	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	$\Q$	None	✓				1150.2.a.b	$1$	$0$	$0$	$0$	$0$	$-1$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{7}-3q^{9}+3q^{11}+3q^{13}+8q^{17}+\cdots$
9200.2.a.t	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	$\Q$	None	✓				115.2.a.a	$1$	$1$	$0$	$0$	$0$	$1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{7}-3q^{9}-2q^{11}+2q^{13}-3q^{17}+\cdots$
9200.2.a.u	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	$\Q$	None	✓				575.2.a.c	$1$	$1$	$0$	$0$	$0$	$1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{7}-3q^{9}+q^{11}-q^{13}+5q^{19}+\cdots$
9200.2.a.v	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	$\Q$	None	✓				1150.2.a.b	$1$	$0$	$0$	$0$	$0$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{7}-3q^{9}+3q^{11}-3q^{13}-8q^{17}+\cdots$
9200.2.a.w	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	$\Q$	None	✓				920.2.a.c	$1$	$0$	$0$	$0$	$0$	$1$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{7}-3q^{9}+6q^{11}+2q^{13}+3q^{17}+\cdots$
9200.2.a.x	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	$\Q$	None	✓				184.2.a.c	$1$	$0$	$0$	$0$	$0$	$4$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+4q^{7}-3q^{9}-6q^{11}+2q^{13}-6q^{17}+\cdots$
9200.2.a.y	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	$\Q$	None	✓				460.2.a.c	$1$	$1$	$0$	$1$	$0$	$-4$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-4q^{7}-2q^{9}+6q^{11}+q^{13}+\cdots$
9200.2.a.z	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	$\Q$	None	✓				920.2.a.d	$1$	$0$	$0$	$1$	$0$	$-2$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-2q^{7}-2q^{9}-q^{13}+4q^{17}+\cdots$
9200.2.a.ba	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	$\Q$	None	✓				92.2.a.b	$1$	$0$	$0$	$1$	$0$	$2$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+2q^{7}-2q^{9}+q^{13}+6q^{17}+\cdots$
9200.2.a.bb	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	$\Q$	None	✓				4600.2.a.e	$1$	$0$	$0$	$1$	$0$	$4$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+4q^{7}-2q^{9}-3q^{11}+2q^{13}+\cdots$
9200.2.a.bc	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	$\Q$	None	✓				4600.2.a.d	$1$	$1$	$0$	$2$	$0$	$-3$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}-3q^{7}+q^{9}-5q^{11}+5q^{13}+\cdots$
9200.2.a.bd	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	$\Q$	None	✓				4600.2.a.c	$1$	$0$	$0$	$2$	$0$	$-1$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}-q^{7}+q^{9}+5q^{11}+q^{13}+\cdots$
9200.2.a.be	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	$\Q$	None	✓				1150.2.a.c	$1$	$0$	$0$	$2$	$0$	$1$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}+q^{7}+q^{9}-5q^{11}-7q^{13}+\cdots$
9200.2.a.bf	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	$\Q$	None	✓				1150.2.a.a	$1$	$1$	$0$	$2$	$0$	$1$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}+q^{7}+q^{9}-3q^{11}-q^{13}+\cdots$
9200.2.a.bg	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	$\Q$	None	✓				115.2.b.a	$1$	$1$	$0$	$2$	$0$	$1$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}+q^{7}+q^{9}-2q^{13}+5q^{17}+\cdots$
9200.2.a.bh	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	$\Q$	None	✓				2300.2.a.b	$1$	$0$	$0$	$2$	$0$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}+q^{7}+q^{9}+3q^{11}+5q^{13}+\cdots$
9200.2.a.bi	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	$\Q$	None	✓				920.2.e.a	$1$	$1$	$0$	$2$	$0$	$3$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}+3q^{7}+q^{9}-6q^{13}-7q^{17}+\cdots$
9200.2.a.bj	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	$\Q$	None	✓				184.2.a.d	$1$	$0$	$0$	$3$	$0$	$-2$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+3q^{3}-2q^{7}+6q^{9}+5q^{13}+6q^{17}+\cdots$
9200.2.a.bk	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	$\Q$	None	✓				460.2.a.d	$1$	$0$	$0$	$3$	$0$	$2$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+3q^{3}+2q^{7}+6q^{9}+3q^{13}-4q^{17}+\cdots$
9200.2.a.bl	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	$\Q$	None	✓				1150.2.a.d	$1$	$0$	$0$	$3$	$0$	$4$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+3q^{3}+4q^{7}+6q^{9}-3q^{11}+6q^{13}+\cdots$
9200.2.a.bm	$9200$	$2$	9200.a	1.a	$1$	$2$	$2$	$73.462$	$\Q(\sqrt{5}) $	None	✓				115.2.a.b	$1$	$0$	$0$	$-2$	$0$	$-2$	$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{3}+(-1+\beta )q^{7}-2q^{9}+(1+\beta )q^{11}+\cdots$
9200.2.a.bn	$9200$	$2$	9200.a	1.a	$1$	$2$	$2$	$73.462$	$\Q(\sqrt{5}) $	None	✓				4600.2.a.q	$1$	$1$	$0$	$-2$	$0$	$4$	$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	$q+(-1-\beta )q^{3}+(2+\beta )q^{7}+(3+2\beta )q^{9}+\cdots$
9200.2.a.bo	$9200$	$2$	9200.a	1.a	$1$	$2$	$2$	$73.462$	$\Q(\sqrt{5}) $	None	✓				230.2.b.a	$1$	$1$	$0$	$-1$	$0$	$-3$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{3}+(-3+3\beta )q^{7}+(-2+\beta )q^{9}+\cdots$
9200.2.a.bp	$9200$	$2$	9200.a	1.a	$1$	$2$	$2$	$73.462$	$\Q(\sqrt{17}) $	None	✓				1150.2.a.k	$1$	$1$	$0$	$-1$	$0$	$-1$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{3}+(-1+\beta )q^{7}+(1+\beta )q^{9}+q^{11}+\cdots$
9200.2.a.bq	$9200$	$2$	9200.a	1.a	$1$	$2$	$2$	$73.462$	$\Q(\sqrt{17}) $	None	✓				920.2.a.e	$1$	$1$	$0$	$-1$	$0$	$-1$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{3}+(-1+\beta )q^{7}+(1+\beta )q^{9}+2q^{11}+\cdots$
9200.2.a.br	$9200$	$2$	9200.a	1.a	$1$	$2$	$2$	$73.462$	$\Q(\sqrt{17}) $	None	✓				184.2.a.e	$1$	$1$	$0$	$-1$	$0$	$0$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{3}+(1+\beta )q^{9}-2\beta q^{11}+(-2+\cdots)q^{13}+\cdots$
9200.2.a.bs	$9200$	$2$	9200.a	1.a	$1$	$2$	$2$	$73.462$	$\Q(\sqrt{21}) $	None	✓				230.2.a.a	$1$	$1$	$0$	$-1$	$0$	$1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{3}+(1-\beta )q^{7}+(2+\beta )q^{9}+(-2+\cdots)q^{11}+\cdots$
9200.2.a.bt	$9200$	$2$	9200.a	1.a	$1$	$2$	$2$	$73.462$	$\Q(\sqrt{5}) $	None	✓				23.2.a.a	$1$	$1$	$0$	$0$	$0$	$2$	$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	$q-\beta q^{3}+(1+\beta )q^{7}+2q^{9}+(3+\beta )q^{11}+\cdots$
9200.2.a.bu	$9200$	$2$	9200.a	1.a	$1$	$2$	$2$	$73.462$	$\Q(\sqrt{5}) $	None	✓				230.2.a.c	$1$	$1$	$0$	$1$	$0$	$1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{3}+(1-\beta )q^{7}+(-2+\beta )q^{9}+(-2+\cdots)q^{11}+\cdots$
9200.2.a.bv	$9200$	$2$	9200.a	1.a	$1$	$2$	$2$	$73.462$	$\Q(\sqrt{17}) $	None	✓				460.2.a.e	$1$	$1$	$0$	$1$	$0$	$1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{3}+(1-\beta )q^{7}+(1+\beta )q^{9}-2q^{11}+\cdots$
9200.2.a.bw	$9200$	$2$	9200.a	1.a	$1$	$2$	$2$	$73.462$	$\Q(\sqrt{17}) $	None	✓				1150.2.a.k	$1$	$1$	$0$	$1$	$0$	$1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{3}+(1-\beta )q^{7}+(1+\beta )q^{9}+q^{11}+\cdots$
9200.2.a.bx	$9200$	$2$	9200.a	1.a	$1$	$2$	$2$	$73.462$	$\Q(\sqrt{17}) $	None	✓				920.2.a.f	$1$	$0$	$0$	$1$	$0$	$2$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{3}+2\beta q^{7}+(1+\beta )q^{9}+4q^{11}+\cdots$

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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.