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 242 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	7	11	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
45738.2.a.a	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$-4$	$-1$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-4q^{5}-q^{7}-q^{8}+4q^{10}+\cdots$
45738.2.a.b	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$-4$	$1$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-4q^{5}+q^{7}-q^{8}+4q^{10}+\cdots$
45738.2.a.c	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$-3$	$-1$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-3q^{5}-q^{7}-q^{8}+3q^{10}+\cdots$
45738.2.a.d	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$-3$	$-1$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-3q^{5}-q^{7}-q^{8}+3q^{10}+\cdots$
45738.2.a.e	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$-3$	$-1$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-3q^{5}-q^{7}-q^{8}+3q^{10}+\cdots$
45738.2.a.f	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$-3$	$-1$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-3q^{5}-q^{7}-q^{8}+3q^{10}+\cdots$
45738.2.a.g	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$-3$	$1$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-3q^{5}+q^{7}-q^{8}+3q^{10}+\cdots$
45738.2.a.h	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$-3$	$1$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-3q^{5}+q^{7}-q^{8}+3q^{10}+\cdots$
45738.2.a.i	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$-3$	$1$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-3q^{5}+q^{7}-q^{8}+3q^{10}+\cdots$
45738.2.a.j	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$-2$	$1$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-2q^{5}+q^{7}-q^{8}+2q^{10}+\cdots$
45738.2.a.k	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$-2$	$1$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-2q^{5}+q^{7}-q^{8}+2q^{10}+\cdots$
45738.2.a.l	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$-2$	$1$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-2q^{5}+q^{7}-q^{8}+2q^{10}+\cdots$
45738.2.a.m	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$-2$	$1$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-2q^{5}+q^{7}-q^{8}+2q^{10}+\cdots$
45738.2.a.n	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$-1$	$-1$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}+q^{10}+\cdots$
45738.2.a.o	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$-1$	$-1$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}+q^{10}+\cdots$
45738.2.a.p	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$-1$	$-1$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}+q^{10}+\cdots$
45738.2.a.q	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$-1$	$-1$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}+q^{10}+\cdots$
45738.2.a.r	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$-1$	$1$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}+q^{7}-q^{8}+q^{10}+\cdots$
45738.2.a.s	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$-1$	$1$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}+q^{7}-q^{8}+q^{10}+\cdots$
45738.2.a.t	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$-1$	$1$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}+q^{7}-q^{8}+q^{10}+\cdots$
45738.2.a.u	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$-1$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{7}-q^{8}-5q^{13}+q^{14}+\cdots$
45738.2.a.v	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$-1$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{7}-q^{8}+q^{13}+q^{14}+\cdots$
45738.2.a.w	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$-1$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{7}-q^{8}+4q^{13}+q^{14}+\cdots$
45738.2.a.x	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$1$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}-3q^{13}-q^{14}+\cdots$
45738.2.a.y	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$1$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}-q^{13}-q^{14}+\cdots$
45738.2.a.z	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$0$	$1$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}-q^{14}+q^{16}+\cdots$
45738.2.a.ba	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$1$	$-1$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots$
45738.2.a.bb	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$1$	$-1$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots$
45738.2.a.bc	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$1$	$1$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-q^{10}+\cdots$
45738.2.a.bd	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$1$	$1$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-q^{10}+\cdots$
45738.2.a.be	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$1$	$1$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-q^{10}+\cdots$
45738.2.a.bf	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$1$	$1$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-q^{10}+\cdots$
45738.2.a.bg	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$1$	$1$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-q^{10}+\cdots$
45738.2.a.bh	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$1$	$1$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-q^{10}+\cdots$
45738.2.a.bi	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$1$	$1$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-q^{10}+\cdots$
45738.2.a.bj	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$2$	$-1$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+2q^{5}-q^{7}-q^{8}-2q^{10}+\cdots$
45738.2.a.bk	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$2$	$-1$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+2q^{5}-q^{7}-q^{8}-2q^{10}+\cdots$
45738.2.a.bl	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$2$	$1$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+2q^{5}+q^{7}-q^{8}-2q^{10}+\cdots$
45738.2.a.bm	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$3$	$-1$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+3q^{5}-q^{7}-q^{8}-3q^{10}+\cdots$
45738.2.a.bn	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$3$	$-1$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+3q^{5}-q^{7}-q^{8}-3q^{10}+\cdots$
45738.2.a.bo	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$3$	$-1$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+3q^{5}-q^{7}-q^{8}-3q^{10}+\cdots$
45738.2.a.bp	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$3$	$-1$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+3q^{5}-q^{7}-q^{8}-3q^{10}+\cdots$
45738.2.a.bq	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$3$	$-1$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+3q^{5}-q^{7}-q^{8}-3q^{10}+\cdots$
45738.2.a.br	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$3$	$1$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+3q^{5}+q^{7}-q^{8}-3q^{10}+\cdots$
45738.2.a.bs	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$3$	$1$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+3q^{5}+q^{7}-q^{8}-3q^{10}+\cdots$
45738.2.a.bt	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$3$	$1$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+3q^{5}+q^{7}-q^{8}-3q^{10}+\cdots$
45738.2.a.bu	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$4$	$1$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+4q^{5}+q^{7}-q^{8}-4q^{10}+\cdots$
45738.2.a.bv	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$4$	$1$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+4q^{5}+q^{7}-q^{8}-4q^{10}+\cdots$
45738.2.a.bw	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$1$	$0$	$-4$	$1$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-4q^{5}+q^{7}+q^{8}-4q^{10}+\cdots$
45738.2.a.bx	$45738$	$2$	45738.a	1.a	$1$	$1$	$1$	$365.220$	$\Q$	None	✓	?				$-1$		$1$	$0$	$-4$	$1$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-4q^{5}+q^{7}+q^{8}-4q^{10}+\cdots$

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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.