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 162 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
14400.2.a.a	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-5$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-5q^{7}-6q^{11}+3q^{13}+2q^{17}-q^{19}+\cdots$
14400.2.a.b	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	not computed	✓	?				$-1$		$0$	$0$	$0$	$-5$	$-$	$+$	$-$	$+$	$1$		$q-5q^{7}-5q^{13}-q^{19}+7q^{31}+10q^{37}+\cdots$
14400.2.a.c	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	not computed	✓	?				$-1$		$0$	$0$	$0$	$-5$	$+$	$+$	$+$	$+$	$1$		$q-5q^{7}+5q^{13}+q^{19}-7q^{31}-10q^{37}+\cdots$
14400.2.a.d	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-5$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-5q^{7}+6q^{11}-3q^{13}-2q^{17}+q^{19}+\cdots$
14400.2.a.e	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-4$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-4q^{7}-4q^{11}-4q^{13}-6q^{17}+4q^{19}+\cdots$
14400.2.a.f	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-4$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-4q^{7}-4q^{11}-2q^{13}-6q^{17}-4q^{19}+\cdots$
14400.2.a.g	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-4$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-4q^{7}-4q^{11}-2q^{13}+2q^{17}+4q^{19}+\cdots$
14400.2.a.h	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-4$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-4q^{7}-4q^{11}+4q^{17}+4q^{23}-6q^{29}+\cdots$
14400.2.a.i	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-4$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-4q^{7}-4q^{11}+4q^{13}-6q^{17}-4q^{19}+\cdots$
14400.2.a.j	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-4$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-4q^{7}-4q^{11}+6q^{13}+2q^{17}+4q^{19}+\cdots$
14400.2.a.k	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-4$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-4q^{7}-6q^{13}-2q^{17}-4q^{19}-8q^{23}+\cdots$
14400.2.a.l	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-4$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-4q^{7}-4q^{13}+8q^{19}-4q^{23}-6q^{29}+\cdots$
14400.2.a.m	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-4$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-4q^{7}-2q^{13}-6q^{17}+4q^{23}-2q^{29}+\cdots$
14400.2.a.n	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	not computed	✓	?				$-1$		$0$	$0$	$0$	$-4$	$-$	$+$	$+$	$-$	$1$		$q-4q^{7}+2q^{13}+8q^{19}+4q^{31}-10q^{37}+\cdots$
14400.2.a.o	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-4$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-4q^{7}+2q^{13}+6q^{17}-4q^{19}-6q^{29}+\cdots$
14400.2.a.p	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-4$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-4q^{7}+4q^{13}-8q^{19}-4q^{23}-6q^{29}+\cdots$
14400.2.a.q	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-4$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-4q^{7}+4q^{11}-4q^{13}+6q^{17}+4q^{19}+\cdots$
14400.2.a.r	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-4$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-4q^{7}+4q^{11}-4q^{17}+4q^{23}-6q^{29}+\cdots$
14400.2.a.s	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-4$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-4q^{7}+4q^{11}+4q^{13}+6q^{17}-4q^{19}+\cdots$
14400.2.a.t	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-3$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{7}-4q^{11}-7q^{13}+4q^{17}-q^{19}+\cdots$
14400.2.a.u	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-3$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{7}-2q^{11}+q^{13}+2q^{17}-5q^{19}+\cdots$
14400.2.a.v	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-3$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{7}-2q^{11}+3q^{13}-6q^{17}-7q^{19}+\cdots$
14400.2.a.w	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-3$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{7}-5q^{13}+5q^{19}-4q^{23}+4q^{29}+\cdots$
14400.2.a.x	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-3$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{7}+5q^{13}-5q^{19}-4q^{23}+4q^{29}+\cdots$
14400.2.a.y	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-3$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{7}+2q^{11}-3q^{13}+6q^{17}+7q^{19}+\cdots$
14400.2.a.z	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-3$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{7}+2q^{11}-q^{13}-2q^{17}+5q^{19}+\cdots$
14400.2.a.ba	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-3$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{7}+4q^{11}+7q^{13}-4q^{17}+q^{19}+\cdots$
14400.2.a.bb	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-2$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}-6q^{11}-4q^{13}+6q^{17}+4q^{19}+\cdots$
14400.2.a.bc	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}-6q^{11}-2q^{13}-6q^{17}-4q^{19}+\cdots$
14400.2.a.bd	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}-5q^{11}+5q^{17}+5q^{19}-6q^{23}+\cdots$
14400.2.a.be	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-2$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}-4q^{11}+4q^{13}+4q^{19}-2q^{23}+\cdots$
14400.2.a.bf	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}-3q^{11}-4q^{13}-3q^{17}-5q^{19}+\cdots$
14400.2.a.bg	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}-2q^{11}-6q^{13}-2q^{17}-4q^{23}+\cdots$
14400.2.a.bh	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-2$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}-2q^{11}+2q^{17}-4q^{19}-2q^{29}+\cdots$
14400.2.a.bi	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}-2q^{11}+2q^{13}+6q^{17}+8q^{19}+\cdots$
14400.2.a.bj	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-2$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}-2q^{11}+4q^{13}+2q^{17}-4q^{19}+\cdots$
14400.2.a.bk	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}-q^{11}-4q^{13}-5q^{17}+q^{19}+\cdots$
14400.2.a.bl	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}+2q^{13}-6q^{17}+4q^{19}+6q^{23}+\cdots$
14400.2.a.bm	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}+q^{11}+4q^{13}+5q^{17}-q^{19}+\cdots$
14400.2.a.bn	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-2$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}+2q^{11}-2q^{13}-6q^{17}-8q^{19}+\cdots$
14400.2.a.bo	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-2$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}+2q^{11}-2q^{17}-4q^{19}+2q^{29}+\cdots$
14400.2.a.bp	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-2$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}+2q^{11}+4q^{13}-2q^{17}-4q^{19}+\cdots$
14400.2.a.bq	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-2$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}+2q^{11}+6q^{13}+2q^{17}-4q^{23}+\cdots$
14400.2.a.br	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}+3q^{11}+4q^{13}+3q^{17}+5q^{19}+\cdots$
14400.2.a.bs	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}+4q^{11}-6q^{13}+2q^{17}+8q^{19}+\cdots$
14400.2.a.bt	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}+4q^{11}-4q^{13}-4q^{19}-2q^{23}+\cdots$
14400.2.a.bu	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-2$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}+5q^{11}-5q^{17}-5q^{19}-6q^{23}+\cdots$
14400.2.a.bv	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-2$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}+6q^{11}-4q^{13}-6q^{17}+4q^{19}+\cdots$
14400.2.a.bw	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}+6q^{11}+2q^{13}+6q^{17}+4q^{19}+\cdots$
14400.2.a.bx	$14400$	$2$	14400.a	1.a	$1$	$1$	$1$	$114.985$	$\Q$	None	✓	?				$-1$		$0$	$0$	$0$	$-1$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{7}-6q^{11}+5q^{13}-6q^{17}+5q^{19}+\cdots$

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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.