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Lowest zero	Conductor	Analytic conductor	Central character	Analytic rank

Degree	Bad \(p\)	Root analytic conductor	Motivic weight	Spectral label

Root angle	Primitive	Origin	Exclude origin	Self-dual

Arithmetic

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Results (4 matches)

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	arith	$\mathbb{Q}$	self-dual	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
2-3-1.1-c21-0-0	$2.89$	$8.38$	$2$	$3$	1.1	$$	$21.0$	$21$	✓	✓		✓	$0$	$0$	$1.12394$	Modular form 3.22.a.c.1.1
2-3-1.1-c21-0-1	$2.89$	$8.38$	$2$	$3$	1.1	$$	$21.0$	$21$	✓	✓	✓	✓	$0.5$	$1$	$1.80521$	Modular form 3.22.a.a Modular form 3.22.a.a.1.1
2-3-1.1-c21-0-2	$2.89$	$8.38$	$2$	$3$	1.1	$$	$21.0$	$21$	✓	✓		✓	$0$	$0$	$2.25684$	Modular form 3.22.a.c.1.2
2-3-1.1-c21-0-3	$2.89$	$8.38$	$2$	$3$	1.1	$$	$21.0$	$21$	✓	✓	✓	✓	$0.5$	$1$	$3.69966$	Modular form 3.22.a.b Modular form 3.22.a.b.1.1