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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

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Results (50 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\nu$	prim	arith	$\mathbb{Q}$	self-dual	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
2-1539-171.101-c0-0-0	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	171.101	$0.0$	✓	✓			$0.252$	$0$	$1.59635$	Modular form 1539.1.bq.a.1241.1
2-1539-171.103-c0-0-0	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	171.103	$0.0$	✓	✓			$0.123$	$0$	$1.81714$	Modular form 1539.1.i.a.1243.1
2-1539-171.104-c0-0-0	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	171.104	$0.0$	✓	✓			$0.469$	$0$	$2.30264$	Modular form 1539.1.cf.a.1187.1
2-1539-171.11-c0-0-0	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	171.11	$0.0$	✓	✓			$-0.00609$	$0$	$1.30346$	Artin representation 2.1539.6t5.b.b Modular form 1539.1.n.a.1322.1
2-1539-171.119-c0-0-0	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	171.119	$0.0$	✓	✓			$0.0493$	$0$	$1.28120$	Modular form 1539.1.cf.a.917.1
2-1539-171.124-c0-0-0	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	171.124	$0.0$	✓	✓			$0.0240$	$0$	$1.44705$	Modular form 1539.1.bt.a.865.1
2-1539-171.13-c0-0-0	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	171.13	$0.0$	✓	✓			$-0.111$	$0$	$1.18483$	Modular form 1539.1.ce.a.1324.1
2-1539-171.131-c0-0-0	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	171.131	$0.0$	✓	✓			$0.141$	$0$	$1.86958$	Modular form 1539.1.bq.a.701.1
2-1539-171.137-c0-0-0	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	171.137	$0.0$	✓	✓			$0.339$	$0$	$2.15618$	Modular form 1539.1.bq.a.593.1
2-1539-171.140-c0-0-0	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	171.140	$0.0$	✓	✓			$0.00609$	$0$	$1.12656$	Artin representation 2.1539.6t5.b.a Modular form 1539.1.n.a.539.1
2-1539-171.148-c0-0-0	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	171.148	$0.0$	✓	✓			$0.0747$	$0$	$1.14976$	Modular form 1539.1.ce.a.433.1
2-1539-171.149-c0-0-0	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	171.149	$0.0$	✓	✓			$-0.252$	$0$	$0.487331$	Modular form 1539.1.bq.a.377.1
2-1539-171.151-c0-0-0	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	171.151	$0.0$	✓	✓			$-0.305$	$0$	$0.351315$	Modular form 1539.1.o.d.379.1
2-1539-171.151-c0-0-1	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	171.151	$0.0$	✓	✓			$-0.0555$	$0$	$1.19677$	Modular form 1539.1.o.c.379.1
2-1539-171.151-c0-0-2	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	171.151	$0.0$	✓	✓			$0.194$	$0$	$1.51764$	Modular form 1539.1.o.d.379.2
2-1539-171.151-c0-0-3	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	171.151	$0.0$	✓	✓			$0.277$	$0$	$1.94961$	Modular form 1539.1.o.b.379.1
2-1539-171.151-c0-0-4	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	171.151	$0.0$	✓	✓			$0.444$	$0$	$2.38859$	Artin representation 2.1539.6t5.c.b Modular form 1539.1.o.a.379.1
2-1539-171.158-c0-0-0	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	171.158	$0.0$	✓	✓			$-0.136$	$0$	$1.15564$	Modular form 1539.1.cf.a.215.1
2-1539-171.160-c0-0-0	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	171.160	$0.0$	✓	✓			$-0.321$	$0$	$0.645191$	Modular form 1539.1.s.a.217.1
2-1539-171.166-c0-0-0	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	171.166	$0.0$	✓	✓			$0.0363$	$0$	$1.67591$	Modular form 1539.1.bt.a.109.1
2-1539-171.22-c0-0-0	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	171.22	$0.0$	✓	✓			$0.222$	$0$	$1.54443$	Modular form 1539.1.bt.a.1162.1
2-1539-171.23-c0-0-0	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	171.23	$0.0$	✓	✓			$-0.0493$	$0$	$1.15629$	Modular form 1539.1.cf.a.1106.1
2-1539-171.31-c0-0-0	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	171.31	$0.0$	✓	✓			$0.321$	$0$	$1.88452$	Modular form 1539.1.s.a.1000.1
2-1539-171.34-c0-0-0	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	171.34	$0.0$	✓	✓			$-0.0363$	$0$	$1.15377$	Modular form 1539.1.bt.a.946.1
2-1539-171.40-c0-0-0	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	171.40	$0.0$	✓	✓			$-0.0240$	$0$	$1.22602$	Modular form 1539.1.bt.a.838.1
2-1539-171.47-c0-0-0	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	171.47	$0.0$	✓	✓			$-0.141$	$0$	$1.32029$	Modular form 1539.1.bq.a.674.1
2-1539-171.5-c0-0-0	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	171.5	$0.0$	✓	✓			$-0.339$	$0$	$0.664877$	Modular form 1539.1.bq.a.1430.1
2-1539-171.52-c0-0-0	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	171.52	$0.0$	✓	✓			$-0.0747$	$0$	$0.785947$	Modular form 1539.1.ce.a.622.1
2-1539-171.67-c0-0-0	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	171.67	$0.0$	✓	✓			$0.135$	$0$	$1.75487$	Modular form 1539.1.ce.a.352.1
2-1539-171.68-c0-0-0	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	171.68	$0.0$	✓	✓			$-0.0616$	$0$	$1.33439$	Artin representation 2.1539.6t5.a.b Modular form 1539.1.j.a.296.1
2-1539-171.70-c0-0-0	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	171.70	$0.0$	✓	✓			$-0.222$	$0$	$0.689583$	Modular form 1539.1.bt.a.298.1
2-1539-171.74-c0-0-0	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	171.74	$0.0$	✓	✓			$-0.469$	$0$	$0.241374$	Modular form 1539.1.cf.a.188.1
2-1539-171.79-c0-0-0	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	171.79	$0.0$	✓	✓			$0.111$	$0$	$1.61834$	Modular form 1539.1.ce.a.136.1
2-1539-171.83-c0-0-0	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	171.83	$0.0$	✓	✓			$0.0616$	$0$	$1.68354$	Artin representation 2.1539.6t5.a.a Modular form 1539.1.j.a.26.1
2-1539-171.88-c0-0-0	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	171.88	$0.0$	✓	✓			$-0.123$	$0$	$1.09131$	Modular form 1539.1.i.a.1513.1
2-1539-171.92-c0-0-0	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	171.92	$0.0$	✓	✓			$0.136$	$0$	$1.80099$	Modular form 1539.1.cf.a.1403.1
2-1539-171.94-c0-0-0	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	171.94	$0.0$	✓	✓			$-0.444$	$0$	$0.692066$	Artin representation 2.1539.6t5.c.a Modular form 1539.1.o.a.1405.1
2-1539-171.94-c0-0-1	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	171.94	$0.0$	✓	✓			$-0.194$	$0$	$0.824422$	Modular form 1539.1.o.d.1405.2
2-1539-171.94-c0-0-2	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	171.94	$0.0$	✓	✓			$-0.277$	$0$	$0.854543$	Modular form 1539.1.o.b.1405.1
2-1539-171.94-c0-0-3	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	171.94	$0.0$	✓	✓			$0.0555$	$0$	$1.51032$	Modular form 1539.1.o.c.1405.1
2-1539-171.94-c0-0-4	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	171.94	$0.0$	✓	✓			$0.305$	$0$	$1.85918$	Modular form 1539.1.o.d.1405.1
2-1539-171.97-c0-0-0	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	171.97	$0.0$	✓	✓			$-0.135$	$0$	$1.28816$	Modular form 1539.1.ce.a.1351.1
2-1539-19.18-c0-0-0	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	19.18	$0.0$	✓	✓	✓	✓	$0$	$0$	$1.09850$	Artin representation 2.1539.6t3.b Artin representation 2.1539.6t3.b.a Modular form 1539.1.c.a Modular form 1539.1.c.a.892.1
2-1539-19.18-c0-0-1	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	19.18	$0.0$	✓	✓			$-0.250$	$0$	$1.17675$	Modular form 1539.1.c.c.892.2
2-1539-19.18-c0-0-2	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	19.18	$0.0$	✓	✓			$-0.250$	$0$	$1.39598$	Artin representation 2.1539.24t21.a.b Modular form 1539.1.c.d.892.2
2-1539-19.18-c0-0-3	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	19.18	$0.0$	✓	✓		✓	$0$	$0$	$1.50782$	Modular form 1539.1.c.e.892.1
2-1539-19.18-c0-0-4	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	19.18	$0.0$	✓	✓			$0.250$	$0$	$1.51188$	Modular form 1539.1.c.c.892.1
2-1539-19.18-c0-0-5	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	19.18	$0.0$	✓	✓		✓	$0$	$0$	$1.67079$	Modular form 1539.1.c.e.892.2
2-1539-19.18-c0-0-6	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	19.18	$0.0$	✓	✓	✓	✓	$0$	$0$	$1.68483$	Artin representation 2.1539.3t2.b Artin representation 2.1539.3t2.b.a Modular form 1539.1.c.b Modular form 1539.1.c.b.892.1
2-1539-19.18-c0-0-7	$0.876$	$0.768$	$2$	$3^{4} \cdot 19$	19.18	$0.0$	✓	✓			$0.250$	$0$	$1.92056$	Artin representation 2.1539.24t21.a.a Modular form 1539.1.c.d.892.1

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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.