LMFDB - Newform search results

Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

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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 (44 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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	3	5	19	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
16245.2.a.a	$16245$	$2$	16245.a	1.a	$1$	$1$	$1$	$129.717$	$\Q$	None	✓	?				$-1$		$-2$	$0$	$1$	$-2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+2q^{4}+q^{5}-2q^{7}-2q^{10}+\cdots$
16245.2.a.d	$16245$	$2$	16245.a	1.a	$1$	$1$	$1$	$129.717$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$1$	$-2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+q^{5}-2q^{7}+3q^{8}-q^{10}+\cdots$
16245.2.a.f	$16245$	$2$	16245.a	1.a	$1$	$1$	$1$	$129.717$	$\Q$	None	✓	?				$-1$		$0$	$0$	$-1$	$2$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}-q^{5}+2q^{7}+3q^{11}-4q^{13}+\cdots$
16245.2.a.h	$16245$	$2$	16245.a	1.a	$1$	$1$	$1$	$129.717$	$\Q$	None	✓	?				$-1$		$0$	$0$	$1$	$-4$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}+q^{5}-4q^{7}-3q^{11}-2q^{13}+\cdots$
16245.2.a.k	$16245$	$2$	16245.a	1.a	$1$	$1$	$1$	$129.717$	$\Q$	None	✓	?				$-1$		$1$	$0$	$1$	$-2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}+q^{5}-2q^{7}-3q^{8}+q^{10}+\cdots$
16245.2.a.n	$16245$	$2$	16245.a	1.a	$1$	$1$	$1$	$129.717$	$\Q$	None	✓	?				$-1$		$2$	$0$	$1$	$-2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+2q^{4}+q^{5}-2q^{7}+2q^{10}+\cdots$
16245.2.a.o	$16245$	$2$	16245.a	1.a	$1$	$2$	$2$	$129.717$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$-3$	$0$	$2$	$-4$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
16245.2.a.r	$16245$	$2$	16245.a	1.a	$1$	$2$	$2$	$129.717$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$-1$	$0$	$2$	$6$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
16245.2.a.x	$16245$	$2$	16245.a	1.a	$1$	$2$	$2$	$129.717$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$2$	$0$	$2$	$-2$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
16245.2.a.y	$16245$	$2$	16245.a	1.a	$1$	$2$	$2$	$129.717$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$2$	$0$	$2$	$0$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
16245.2.a.z	$16245$	$2$	16245.a	1.a	$1$	$2$	$2$	$129.717$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$2$	$0$	$2$	$4$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
16245.2.a.ba	$16245$	$2$	16245.a	1.a	$1$	$2$	$2$	$129.717$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$3$	$0$	$2$	$-4$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
16245.2.a.bb	$16245$	$2$	16245.a	1.a	$1$	$3$	$3$	$129.717$	3.3.148.1	None	✓	?				$-1$		$-1$	$0$	$-3$	$-4$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
16245.2.a.bd	$16245$	$2$	16245.a	1.a	$1$	$3$	$3$	$129.717$	3.3.148.1	None	✓	?				$-1$		$-1$	$0$	$-3$	$-4$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
16245.2.a.bf	$16245$	$2$	16245.a	1.a	$1$	$3$	$3$	$129.717$	3.3.148.1	None	✓	?				$-1$		$1$	$0$	$-3$	$0$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
16245.2.a.bi	$16245$	$2$	16245.a	1.a	$1$	$3$	$3$	$129.717$	3.3.148.1	None	✓	?				$-1$		$1$	$0$	$-3$	$-4$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
16245.2.a.bj	$16245$	$2$	16245.a	1.a	$1$	$3$	$3$	$129.717$	3.3.361.1	None	✓	?				$-1$		$1$	$0$	$3$	$2$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
16245.2.a.bk	$16245$	$2$	16245.a	1.a	$1$	$4$	$4$	$129.717$	4.4.11344.1	None	✓	?				$-1$		$-2$	$0$	$4$	$4$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
16245.2.a.bm	$16245$	$2$	16245.a	1.a	$1$	$4$	$4$	$129.717$	4.4.7537.1	None	✓	?				$-1$		$-1$	$0$	$-4$	$-4$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
16245.2.a.bp	$16245$	$2$	16245.a	1.a	$1$	$4$	$4$	$129.717$	4.4.7168.1	not computed	✓	?				$-1$		$0$	$0$	$-4$	$8$	$-$	$+$	$+$	$-$
16245.2.a.bt	$16245$	$2$	16245.a	1.a	$1$	$5$	$5$	$129.717$	5.5.8797896.1	None	✓	?				$-1$		$1$	$0$	$-5$	$2$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
16245.2.a.by	$16245$	$2$	16245.a	1.a	$1$	$6$	$6$	$129.717$	6.6.5061125.1	None	✓	?				$-1$		$-3$	$0$	$6$	$6$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
16245.2.a.bz	$16245$	$2$	16245.a	1.a	$1$	$6$	$6$	$129.717$	6.6.5822000.1	None	✓	?				$-1$		$-2$	$0$	$6$	$7$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
16245.2.a.cb	$16245$	$2$	16245.a	1.a	$1$	$6$	$6$	$129.717$	6.6.5516125.1	None	✓	?				$-1$		$-1$	$0$	$6$	$4$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
16245.2.a.cd	$16245$	$2$	16245.a	1.a	$1$	$6$	$6$	$129.717$	6.6.42224192.1	not computed	✓	?				$-1$		$0$	$0$	$6$	$4$	$+$	$-$	$+$	$-$
16245.2.a.cf	$16245$	$2$	16245.a	1.a	$1$	$6$	$6$	$129.717$	6.6.5516125.1	None	✓	?				$-1$		$1$	$0$	$6$	$4$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
16245.2.a.cg	$16245$	$2$	16245.a	1.a	$1$	$6$	$6$	$129.717$	6.6.5822000.1	None	✓	?				$-1$		$2$	$0$	$6$	$7$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
16245.2.a.ch	$16245$	$2$	16245.a	1.a	$1$	$6$	$6$	$129.717$	6.6.1397493.1	None	✓	?				$-1$		$3$	$0$	$-6$	$-6$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
16245.2.a.cj	$16245$	$2$	16245.a	1.a	$1$	$6$	$6$	$129.717$	6.6.79815328.1	None	✓	?				$-1$		$3$	$0$	$-6$	$2$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
16245.2.a.ck	$16245$	$2$	16245.a	1.a	$1$	$6$	$6$	$129.717$	6.6.79815328.1	None	✓	?				$-1$		$3$	$0$	$6$	$2$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
16245.2.a.cl	$16245$	$2$	16245.a	1.a	$1$	$6$	$6$	$129.717$	6.6.5061125.1	None	✓	?				$-1$		$3$	$0$	$6$	$6$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
16245.2.a.cm	$16245$	$2$	16245.a	1.a	$1$	$9$	$9$	$129.717$	$\mathbb{Q}[x]/(x^{9} - \cdots)$	None	✓	?				$-1$		$-6$	$0$	$-9$	$0$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
16245.2.a.cp	$16245$	$2$	16245.a	1.a	$1$	$9$	$9$	$129.717$	$\mathbb{Q}[x]/(x^{9} - \cdots)$	None	✓	?				$-1$		$0$	$0$	$9$	$0$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
16245.2.a.cq	$16245$	$2$	16245.a	1.a	$1$	$9$	$9$	$129.717$	$\mathbb{Q}[x]/(x^{9} - \cdots)$	None	✓	?				$-1$		$3$	$0$	$9$	$-6$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
16245.2.a.cs	$16245$	$2$	16245.a	1.a	$1$	$12$	$12$	$129.717$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	✓	?				$-1$		$-4$	$0$	$-12$	$-6$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
16245.2.a.cv	$16245$	$2$	16245.a	1.a	$1$	$12$	$12$	$129.717$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	✓	?				$-1$		$0$	$0$	$-12$	$-8$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
16245.2.a.cw	$16245$	$2$	16245.a	1.a	$1$	$12$	$12$	$129.717$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	✓	?				$-1$		$0$	$0$	$-12$	$-8$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
16245.2.a.cz	$16245$	$2$	16245.a	1.a	$1$	$12$	$12$	$129.717$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	✓	?	✓			$-1$		$3$	$0$	$12$	$6$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
16245.2.a.da	$16245$	$2$	16245.a	1.a	$1$	$12$	$12$	$129.717$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	✓	?				$-1$		$4$	$0$	$-12$	$-6$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
16245.2.a.dd	$16245$	$2$	16245.a	1.a	$1$	$15$	$15$	$129.717$	$\mathbb{Q}[x]/(x^{15} - \cdots)$	None	✓	?				$-1$		$3$	$0$	$-15$	$6$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
16245.2.a.de	$16245$	$2$	16245.a	1.a	$1$	$16$	$16$	$129.717$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	not computed	✓	?	✓			$-1$		$0$	$0$	$-16$	$22$	$-$	$+$	$+$	$-$
16245.2.a.dh	$16245$	$2$	16245.a	1.a	$1$	$21$	$21$	$129.717$		None	✓	?	✓			$-1$		$6$	$0$	$-21$	$0$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
16245.2.a.di	$16245$	$2$	16245.a	1.a	$1$	$21$	$21$	$129.717$		None	✓	?				$-1$		$6$	$0$	$21$	$0$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
16245.2.a.dk	$16245$	$2$	16245.a	1.a	$1$	$24$	$24$	$129.717$		not computed	✓	?	✓			$-1$		$0$	$0$	$24$	$16$	$+$	$-$	$+$	$-$

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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.