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 92 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
5400.2.a.a	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓	✓			5400.2.a.a	$1$	$0$	$0$	$0$	$0$	$-4$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-4q^{7}-4q^{11}+q^{13}-8q^{17}-8q^{19}+\cdots$
5400.2.a.b	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓				1080.2.f.b	$1$	$1$	$0$	$0$	$0$	$-4$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-4q^{7}-q^{11}+q^{13}+3q^{17}+2q^{19}+\cdots$
5400.2.a.c	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓				1080.2.f.b	$1$	$0$	$0$	$0$	$0$	$-4$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-4q^{7}+q^{11}+q^{13}-3q^{17}+2q^{19}+\cdots$
5400.2.a.d	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓	✓			5400.2.a.a	$1$	$1$	$0$	$0$	$0$	$-4$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-4q^{7}+4q^{11}+q^{13}+8q^{17}-8q^{19}+\cdots$
5400.2.a.e	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓				216.2.a.b	$1$	$0$	$0$	$0$	$0$	$-3$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{7}-5q^{11}-4q^{13}-8q^{17}+2q^{19}+\cdots$
5400.2.a.f	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓	✓			5400.2.a.f	$1$	$1$	$0$	$0$	$0$	$-3$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{7}-4q^{11}+6q^{13}-6q^{17}-q^{19}+\cdots$
5400.2.a.g	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓	✓			5400.2.a.f	$1$	$0$	$0$	$0$	$0$	$-3$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{7}+4q^{11}+6q^{13}+6q^{17}-q^{19}+\cdots$
5400.2.a.h	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓				216.2.a.b	$1$	$0$	$0$	$0$	$0$	$-3$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{7}+5q^{11}-4q^{13}+8q^{17}+2q^{19}+\cdots$
5400.2.a.i	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓	✓			5400.2.a.i	$1$	$0$	$0$	$0$	$0$	$-2$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}-5q^{11}-q^{13}-2q^{17}-8q^{19}+\cdots$
5400.2.a.j	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓				1080.2.a.e	$1$	$1$	$0$	$0$	$0$	$-2$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}-4q^{11}+2q^{13}+5q^{17}-5q^{19}+\cdots$
5400.2.a.k	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓	✓			5400.2.a.k	$1$	$1$	$0$	$0$	$0$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}-3q^{11}-3q^{13}+2q^{17}+4q^{19}+\cdots$
5400.2.a.l	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓				1080.2.f.a	$1$	$1$	$0$	$0$	$0$	$-2$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}-2q^{11}+2q^{13}+3q^{17}-q^{19}+\cdots$
5400.2.a.m	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓				1080.2.a.f	$1$	$0$	$0$	$0$	$0$	$-2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}-q^{11}-q^{13}-q^{17}+4q^{19}+\cdots$
5400.2.a.n	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓				1080.2.a.f	$1$	$1$	$0$	$0$	$0$	$-2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}+q^{11}-q^{13}+q^{17}+4q^{19}+\cdots$
5400.2.a.o	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓				1080.2.f.a	$1$	$1$	$0$	$0$	$0$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}+2q^{11}+2q^{13}-3q^{17}-q^{19}+\cdots$
5400.2.a.p	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓	✓			5400.2.a.k	$1$	$1$	$0$	$0$	$0$	$-2$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}+3q^{11}-3q^{13}-2q^{17}+4q^{19}+\cdots$
5400.2.a.q	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓				1080.2.a.e	$1$	$1$	$0$	$0$	$0$	$-2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}+4q^{11}+2q^{13}-5q^{17}-5q^{19}+\cdots$
5400.2.a.r	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓	✓			5400.2.a.i	$1$	$0$	$0$	$0$	$0$	$-2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}+5q^{11}-q^{13}+2q^{17}-8q^{19}+\cdots$
5400.2.a.s	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓	✓			5400.2.a.s	$1$	$0$	$0$	$0$	$0$	$-1$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{7}-6q^{11}-6q^{13}+2q^{17}+7q^{19}+\cdots$
5400.2.a.t	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓	✓			5400.2.a.t	$1$	$0$	$0$	$0$	$0$	$-1$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{7}-2q^{11}-2q^{13}+2q^{17}+q^{19}+\cdots$
5400.2.a.u	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓	✓			5400.2.a.t	$1$	$1$	$0$	$0$	$0$	$-1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{7}+2q^{11}-2q^{13}-2q^{17}+q^{19}+\cdots$
5400.2.a.v	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓	✓			5400.2.a.s	$1$	$1$	$0$	$0$	$0$	$-1$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{7}+6q^{11}-6q^{13}-2q^{17}+7q^{19}+\cdots$
5400.2.a.w	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓				1080.2.a.d	$1$	$1$	$0$	$0$	$0$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{11}+3q^{17}-q^{19}+3q^{23}-4q^{29}+\cdots$
5400.2.a.x	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓				1080.2.a.d	$1$	$1$	$0$	$0$	$0$	$0$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{11}-3q^{17}-q^{19}-3q^{23}+4q^{29}+\cdots$
5400.2.a.y	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓	✓			5400.2.a.s	$1$	$1$	$0$	$0$	$0$	$1$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{7}-6q^{11}+6q^{13}-2q^{17}+7q^{19}+\cdots$
5400.2.a.z	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓	✓			5400.2.a.t	$1$	$1$	$0$	$0$	$0$	$1$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{7}-2q^{11}+2q^{13}-2q^{17}+q^{19}+\cdots$
5400.2.a.ba	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓				1080.2.a.c	$1$	$0$	$0$	$0$	$0$	$1$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{7}-2q^{11}+5q^{13}+4q^{17}-5q^{19}+\cdots$
5400.2.a.bb	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓	✓			5400.2.a.t	$1$	$0$	$0$	$0$	$0$	$1$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{7}+2q^{11}+2q^{13}+2q^{17}+q^{19}+\cdots$
5400.2.a.bc	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓				1080.2.a.c	$1$	$1$	$0$	$0$	$0$	$1$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{7}+2q^{11}+5q^{13}-4q^{17}-5q^{19}+\cdots$
5400.2.a.bd	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓	✓			5400.2.a.s	$1$	$0$	$0$	$0$	$0$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{7}+6q^{11}+6q^{13}+2q^{17}+7q^{19}+\cdots$
5400.2.a.be	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓	✓			5400.2.a.i	$1$	$1$	$0$	$0$	$0$	$2$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{7}-5q^{11}+q^{13}+2q^{17}-8q^{19}+\cdots$
5400.2.a.bf	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓	✓			5400.2.a.k	$1$	$0$	$0$	$0$	$0$	$2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{7}-3q^{11}+3q^{13}-2q^{17}+4q^{19}+\cdots$
5400.2.a.bg	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓				1080.2.f.a	$1$	$1$	$0$	$0$	$0$	$2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{7}-2q^{11}-2q^{13}-3q^{17}-q^{19}+\cdots$
5400.2.a.bh	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓				1080.2.a.b	$1$	$0$	$0$	$0$	$0$	$2$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{7}+6q^{13}-7q^{17}+7q^{19}-7q^{23}+\cdots$
5400.2.a.bi	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓				1080.2.a.b	$1$	$0$	$0$	$0$	$0$	$2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{7}+6q^{13}+7q^{17}+7q^{19}+7q^{23}+\cdots$
5400.2.a.bj	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓				1080.2.f.a	$1$	$1$	$0$	$0$	$0$	$2$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{7}+2q^{11}-2q^{13}+3q^{17}-q^{19}+\cdots$
5400.2.a.bk	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓	✓			5400.2.a.k	$1$	$0$	$0$	$0$	$0$	$2$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{7}+3q^{11}+3q^{13}+2q^{17}+4q^{19}+\cdots$
5400.2.a.bl	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓	✓			5400.2.a.i	$1$	$1$	$0$	$0$	$0$	$2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{7}+5q^{11}+q^{13}-2q^{17}-8q^{19}+\cdots$
5400.2.a.bm	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓	✓			5400.2.a.f	$1$	$0$	$0$	$0$	$0$	$3$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+3q^{7}-4q^{11}-6q^{13}+6q^{17}-q^{19}+\cdots$
5400.2.a.bn	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓				216.2.a.a	$1$	$1$	$0$	$0$	$0$	$3$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+3q^{7}-4q^{11}-q^{13}-4q^{17}-q^{19}+\cdots$
5400.2.a.bo	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓	✓			5400.2.a.f	$1$	$1$	$0$	$0$	$0$	$3$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+3q^{7}+4q^{11}-6q^{13}-6q^{17}-q^{19}+\cdots$
5400.2.a.bp	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓				216.2.a.a	$1$	$0$	$0$	$0$	$0$	$3$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+3q^{7}+4q^{11}-q^{13}+4q^{17}-q^{19}+\cdots$
5400.2.a.bq	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓	✓			5400.2.a.a	$1$	$1$	$0$	$0$	$0$	$4$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+4q^{7}-4q^{11}-q^{13}+8q^{17}-8q^{19}+\cdots$
5400.2.a.br	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓				1080.2.a.a	$1$	$0$	$0$	$0$	$0$	$4$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+4q^{7}-2q^{11}-4q^{13}+q^{17}-5q^{19}+\cdots$
5400.2.a.bs	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓				1080.2.f.b	$1$	$1$	$0$	$0$	$0$	$4$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+4q^{7}-q^{11}-q^{13}-3q^{17}+2q^{19}+\cdots$
5400.2.a.bt	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓				1080.2.f.b	$1$	$0$	$0$	$0$	$0$	$4$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+4q^{7}+q^{11}-q^{13}+3q^{17}+2q^{19}+\cdots$
5400.2.a.bu	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓				1080.2.a.a	$1$	$0$	$0$	$0$	$0$	$4$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+4q^{7}+2q^{11}-4q^{13}-q^{17}-5q^{19}+\cdots$
5400.2.a.bv	$5400$	$2$	5400.a	1.a	$1$	$1$	$1$	$43.119$	$\Q$	None	✓	✓			5400.2.a.a	$1$	$0$	$0$	$0$	$0$	$4$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+4q^{7}+4q^{11}-q^{13}-8q^{17}-8q^{19}+\cdots$
5400.2.a.bw	$5400$	$2$	5400.a	1.a	$1$	$2$	$2$	$43.119$	$\Q(\sqrt{6}) $	None	✓		✓		1080.2.f.e	$1$	$1$	$0$	$0$	$0$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{7}+(-2-\beta )q^{11}+(1+2\beta )q^{13}+\cdots$
5400.2.a.bx	$5400$	$2$	5400.a	1.a	$1$	$2$	$2$	$43.119$	$\Q(\sqrt{13}) $	None	✓	✓			5400.2.a.bx	$1$	$1$	$0$	$0$	$0$	$-2$	$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	$q+(-1-\beta )q^{7}-q^{11}+(-2+\beta )q^{13}+\cdots$

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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.