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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 150 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	13	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
17550.2.a.a	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$-5$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-5q^{7}-q^{8}-3q^{11}-q^{13}+\cdots$
17550.2.a.b	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$-4$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-4q^{7}-q^{8}-6q^{11}+q^{13}+\cdots$
17550.2.a.c	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$-4$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-4q^{7}-q^{8}-2q^{11}-q^{13}+\cdots$
17550.2.a.d	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$-4$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-4q^{7}-q^{8}-2q^{11}+q^{13}+\cdots$
17550.2.a.e	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$-4$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-4q^{7}-q^{8}+q^{13}+4q^{14}+\cdots$
17550.2.a.f	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$-3$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-3q^{7}-q^{8}-3q^{11}-q^{13}+\cdots$
17550.2.a.g	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$-3$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-3q^{7}-q^{8}-q^{13}+3q^{14}+\cdots$
17550.2.a.h	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$-3$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-3q^{7}-q^{8}-q^{13}+3q^{14}+\cdots$
17550.2.a.i	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$-2$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-2q^{7}-q^{8}-q^{13}+2q^{14}+\cdots$
17550.2.a.j	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$-2$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-2q^{7}-q^{8}-q^{13}+2q^{14}+\cdots$
17550.2.a.k	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$-1$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{7}-q^{8}-5q^{11}-q^{13}+\cdots$
17550.2.a.l	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$-1$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{7}-q^{8}-5q^{11}+q^{13}+\cdots$
17550.2.a.m	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$-1$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{7}-q^{8}-4q^{11}-q^{13}+\cdots$
17550.2.a.n	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$-1$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{7}-q^{8}-4q^{11}-q^{13}+\cdots$
17550.2.a.o	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$-1$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{7}-q^{8}+q^{13}+q^{14}+\cdots$
17550.2.a.p	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$-1$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{7}-q^{8}+q^{13}+q^{14}+\cdots$
17550.2.a.q	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$-1$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{7}-q^{8}+q^{11}+q^{13}+\cdots$
17550.2.a.r	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$-1$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{7}-q^{8}+2q^{11}+q^{13}+\cdots$
17550.2.a.s	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$-1$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{7}-q^{8}+6q^{11}+q^{13}+\cdots$
17550.2.a.t	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$0$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{8}-6q^{11}-q^{13}+q^{16}+\cdots$
17550.2.a.u	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$0$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{8}-q^{13}+q^{16}+4q^{17}+\cdots$
17550.2.a.v	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$0$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{8}+q^{13}+q^{16}+4q^{17}+\cdots$
17550.2.a.w	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$1$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}-6q^{11}-q^{13}+\cdots$
17550.2.a.x	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$1$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}-3q^{11}-q^{13}+\cdots$
17550.2.a.y	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$1$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}-2q^{11}-q^{13}+\cdots$
17550.2.a.z	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$1$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}-q^{13}-q^{14}+\cdots$
17550.2.a.ba	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$1$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}-q^{13}-q^{14}+\cdots$
17550.2.a.bb	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$1$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}+q^{11}+q^{13}+\cdots$
17550.2.a.bc	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$1$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}+3q^{11}-q^{13}+\cdots$
17550.2.a.bd	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$1$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}+3q^{11}-q^{13}+\cdots$
17550.2.a.be	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$1$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}+3q^{11}-q^{13}+\cdots$
17550.2.a.bf	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$1$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}+4q^{11}+q^{13}+\cdots$
17550.2.a.bg	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$1$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}+4q^{11}+q^{13}+\cdots$
17550.2.a.bh	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$1$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}+5q^{11}+q^{13}+\cdots$
17550.2.a.bi	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$2$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+2q^{7}-q^{8}+q^{13}-2q^{14}+\cdots$
17550.2.a.bj	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$2$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+2q^{7}-q^{8}+q^{13}-2q^{14}+\cdots$
17550.2.a.bk	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$3$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+3q^{7}-q^{8}-3q^{11}-q^{13}+\cdots$
17550.2.a.bl	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$3$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+3q^{7}-q^{8}-3q^{11}+q^{13}+\cdots$
17550.2.a.bm	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$3$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+3q^{7}-q^{8}+q^{13}-3q^{14}+\cdots$
17550.2.a.bn	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$3$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+3q^{7}-q^{8}+q^{13}-3q^{14}+\cdots$
17550.2.a.bo	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$4$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+4q^{7}-q^{8}-q^{13}-4q^{14}+\cdots$
17550.2.a.bp	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$4$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+4q^{7}-q^{8}+6q^{11}-q^{13}+\cdots$
17550.2.a.bq	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$5$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+5q^{7}-q^{8}-5q^{11}+q^{13}+\cdots$
17550.2.a.br	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$5$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+5q^{7}-q^{8}+q^{11}-q^{13}+\cdots$
17550.2.a.bs	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$1$	$0$	$0$	$-5$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-5q^{7}+q^{8}+3q^{11}-q^{13}+\cdots$
17550.2.a.bt	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$1$	$0$	$0$	$-4$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-4q^{7}+q^{8}+q^{13}-4q^{14}+\cdots$
17550.2.a.bu	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$1$	$0$	$0$	$-4$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-4q^{7}+q^{8}+2q^{11}-q^{13}+\cdots$
17550.2.a.bv	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$1$	$0$	$0$	$-4$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-4q^{7}+q^{8}+2q^{11}+q^{13}+\cdots$
17550.2.a.bw	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$1$	$0$	$0$	$-4$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-4q^{7}+q^{8}+6q^{11}+q^{13}+\cdots$
17550.2.a.bx	$17550$	$2$	17550.a	1.a	$1$	$1$	$1$	$140.137$	$\Q$	None	✓	?				$-1$		$1$	$0$	$0$	$-3$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-3q^{7}+q^{8}-q^{13}-3q^{14}+\cdots$

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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.