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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 (1-50 of 6898 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\nu$	$w$	prim	arith	$\mathbb{Q}$	self-dual	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
2-84-21.11-c0-0-0	$0.204$	$0.0419$	$2$	$2^{2} \cdot 3 \cdot 7$	21.11	$0.0$	0	✓	✓			$-0.0732$	$0$	$2.56497$	Artin representation 2.84.6t5.b.a Modular form 84.1.p.a.53.1
2-84-21.2-c0-0-0	$0.204$	$0.0419$	$2$	$2^{2} \cdot 3 \cdot 7$	21.2	$0.0$	0	✓	✓			$0.0732$	$0$	$3.52084$	Artin representation 2.84.6t5.b.b Modular form 84.1.p.a.65.1
2-84-1.1-c1-0-0	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$2.24239$	Elliptic curve 84.a Modular form 84.2.a.a Modular form 84.2.a.a.1.1
2-84-1.1-c1-0-1	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$2.51752$	Elliptic curve 84.b Modular form 84.2.a.b Modular form 84.2.a.b.1.1
2-84-12.11-c1-0-0	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$1.0$	$1$	✓	✓			$-0.136$	$0$	$1.22071$	Modular form 84.2.e.a.71.3
2-84-12.11-c1-0-1	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$1.0$	$1$	✓	✓			$-0.348$	$0$	$1.23268$	Modular form 84.2.e.a.71.8
2-84-12.11-c1-0-10	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$1.0$	$1$	✓	✓			$0.348$	$0$	$3.79170$	Modular form 84.2.e.a.71.7
2-84-12.11-c1-0-11	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$1.0$	$1$	✓	✓			$0.219$	$0$	$3.80992$	Modular form 84.2.e.a.71.9
2-84-12.11-c1-0-2	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$1.0$	$1$	✓	✓			$-0.187$	$0$	$1.63003$	Modular form 84.2.e.a.71.2
2-84-12.11-c1-0-3	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$1.0$	$1$	✓	✓			$-0.189$	$0$	$2.08163$	Modular form 84.2.e.a.71.6
2-84-12.11-c1-0-4	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$1.0$	$1$	✓	✓			$-0.219$	$0$	$2.28496$	Modular form 84.2.e.a.71.10
2-84-12.11-c1-0-5	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$1.0$	$1$	✓	✓			$-0.00969$	$0$	$2.62369$	Modular form 84.2.e.a.71.11
2-84-12.11-c1-0-6	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$1.0$	$1$	✓	✓			$0.187$	$0$	$2.69342$	Modular form 84.2.e.a.71.1
2-84-12.11-c1-0-7	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$1.0$	$1$	✓	✓			$0.00969$	$0$	$2.96303$	Modular form 84.2.e.a.71.12
2-84-12.11-c1-0-8	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$1.0$	$1$	✓	✓			$0.136$	$0$	$2.98550$	Modular form 84.2.e.a.71.4
2-84-12.11-c1-0-9	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$1.0$	$1$	✓	✓			$0.189$	$0$	$3.00019$	Modular form 84.2.e.a.71.5
2-84-21.17-c1-0-0	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	21.17	$1.0$	$1$	✓	✓			$-0.156$	$0$	$1.54619$	Modular form 84.2.k.a.17.1
2-84-21.17-c1-0-1	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	21.17	$1.0$	$1$	✓	✓			$-0.0504$	$0$	$2.41433$	Modular form 84.2.k.c.17.1
2-84-21.17-c1-0-2	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	21.17	$1.0$	$1$	✓	✓			$0.176$	$0$	$3.34339$	Modular form 84.2.k.b.17.1
2-84-21.20-c1-0-0	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	21.20	$1.0$	$1$	✓	✓			$-0.136$	$0$	$1.84955$	Modular form 84.2.f.a.41.2
2-84-21.20-c1-0-1	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	21.20	$1.0$	$1$	✓	✓			$0.136$	$0$	$3.01248$	Modular form 84.2.f.a.41.1
2-84-21.5-c1-0-0	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	21.5	$1.0$	$1$	✓	✓			$-0.176$	$0$	$1.66083$	Modular form 84.2.k.b.5.1
2-84-21.5-c1-0-1	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	21.5	$1.0$	$1$	✓	✓			$0.156$	$0$	$2.85316$	Modular form 84.2.k.a.5.1
2-84-21.5-c1-0-2	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	21.5	$1.0$	$1$	✓	✓			$0.0504$	$0$	$2.87999$	Modular form 84.2.k.c.5.1
2-84-28.19-c1-0-0	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	28.19	$1.0$	$1$	✓	✓			$-0.267$	$0$	$1.75982$	Modular form 84.2.o.b.19.2
2-84-28.19-c1-0-1	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	28.19	$1.0$	$1$	✓	✓			$-0.0175$	$0$	$1.77756$	Modular form 84.2.o.b.19.1
2-84-28.19-c1-0-2	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	28.19	$1.0$	$1$	✓	✓			$-0.0578$	$0$	$1.95286$	Modular form 84.2.o.a.19.1
2-84-28.19-c1-0-3	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	28.19	$1.0$	$1$	✓	✓			$-0.0525$	$0$	$2.73646$	Modular form 84.2.o.a.19.4
2-84-28.19-c1-0-4	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	28.19	$1.0$	$1$	✓	✓			$0.139$	$0$	$2.96801$	Modular form 84.2.o.b.19.3
2-84-28.19-c1-0-5	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	28.19	$1.0$	$1$	✓	✓			$-0.000729$	$0$	$3.13236$	Modular form 84.2.o.b.19.4
2-84-28.19-c1-0-6	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	28.19	$1.0$	$1$	✓	✓			$0.217$	$0$	$3.65590$	Modular form 84.2.o.a.19.3
2-84-28.19-c1-0-7	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	28.19	$1.0$	$1$	✓	✓			$0.413$	$0$	$3.82782$	Modular form 84.2.o.a.19.2
2-84-28.27-c1-0-0	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	28.27	$1.0$	$1$	✓	✓			$-0.288$	$0$	$0.985351$	Modular form 84.2.b.a.55.2
2-84-28.27-c1-0-1	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	28.27	$1.0$	$1$	✓	✓			$-0.226$	$0$	$1.82160$	Modular form 84.2.b.a.55.4
2-84-28.27-c1-0-2	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	28.27	$1.0$	$1$	✓	✓			$-0.0101$	$0$	$1.85079$	Modular form 84.2.b.b.55.1
2-84-28.27-c1-0-3	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	28.27	$1.0$	$1$	✓	✓			$0.0101$	$0$	$2.38992$	Modular form 84.2.b.b.55.2
2-84-28.27-c1-0-4	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	28.27	$1.0$	$1$	✓	✓			$-0.145$	$0$	$2.59189$	Modular form 84.2.b.b.55.4
2-84-28.27-c1-0-5	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	28.27	$1.0$	$1$	✓	✓			$0.288$	$0$	$2.74612$	Modular form 84.2.b.a.55.1
2-84-28.27-c1-0-6	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	28.27	$1.0$	$1$	✓	✓			$0.145$	$0$	$3.32663$	Modular form 84.2.b.b.55.3
2-84-28.27-c1-0-7	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	28.27	$1.0$	$1$	✓	✓			$0.226$	$0$	$3.46753$	Modular form 84.2.b.a.55.3
2-84-28.3-c1-0-0	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	28.3	$1.0$	$1$	✓	✓			$-0.413$	$0$	$0.938493$	Modular form 84.2.o.a.31.2
2-84-28.3-c1-0-1	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	28.3	$1.0$	$1$	✓	✓			$0.0578$	$0$	$1.93607$	Modular form 84.2.o.a.31.1
2-84-28.3-c1-0-2	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	28.3	$1.0$	$1$	✓	✓			$-0.217$	$0$	$2.04414$	Modular form 84.2.o.a.31.3
2-84-28.3-c1-0-3	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	28.3	$1.0$	$1$	✓	✓			$0.0175$	$0$	$2.32893$	Modular form 84.2.o.b.31.1
2-84-28.3-c1-0-4	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	28.3	$1.0$	$1$	✓	✓			$-0.139$	$0$	$2.35976$	Modular form 84.2.o.b.31.3
2-84-28.3-c1-0-5	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	28.3	$1.0$	$1$	✓	✓			$0.0525$	$0$	$2.93046$	Modular form 84.2.o.a.31.4
2-84-28.3-c1-0-6	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	28.3	$1.0$	$1$	✓	✓			$0.000729$	$0$	$3.12681$	Modular form 84.2.o.b.31.4
2-84-28.3-c1-0-7	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	28.3	$1.0$	$1$	✓	✓			$0.267$	$0$	$3.29935$	Modular form 84.2.o.b.31.2
2-84-7.2-c1-0-0	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	7.2	$1.0$	$1$	✓	✓			$-0.0403$	$0$	$2.31090$	Modular form 84.2.i.a.37.1
2-84-7.4-c1-0-0	$0.818$	$0.670$	$2$	$2^{2} \cdot 3 \cdot 7$	7.4	$1.0$	$1$	✓	✓			$0.0403$	$0$	$2.59165$	Modular form 84.2.i.a.25.1

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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.