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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 (1-50 of 230 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
2-84-1.1-c3-0-0	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	1.1	$3.0$	$3$	✓	✓	✓	✓	$0$	$0$	$1.42982$	Modular form 84.4.a.a Modular form 84.4.a.a.1.1
2-84-1.1-c3-0-1	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	1.1	$3.0$	$3$	✓	✓	✓	✓	$0$	$0$	$1.80472$	Modular form 84.4.a.b Modular form 84.4.a.b.1.1
2-84-12.11-c3-0-0	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$3.0$	$3$	✓	✓			$0.483$	$0$	$0.267381$	Modular form 84.4.e.a.71.18
2-84-12.11-c3-0-1	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$3.0$	$3$	✓	✓			$-0.344$	$0$	$0.290342$	Modular form 84.4.e.a.71.6
2-84-12.11-c3-0-10	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$3.0$	$3$	✓	✓			$-0.102$	$0$	$1.04339$	Modular form 84.4.e.a.71.21
2-84-12.11-c3-0-11	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$3.0$	$3$	✓	✓			$-0.177$	$0$	$1.17771$	Modular form 84.4.e.a.71.36
2-84-12.11-c3-0-12	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$3.0$	$3$	✓	✓			$-0.0596$	$0$	$1.19097$	Modular form 84.4.e.a.71.14
2-84-12.11-c3-0-13	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$3.0$	$3$	✓	✓			$-0.315$	$0$	$1.26835$	Modular form 84.4.e.a.71.30
2-84-12.11-c3-0-14	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$3.0$	$3$	✓	✓			$-0.326$	$0$	$1.33882$	Modular form 84.4.e.a.71.24
2-84-12.11-c3-0-15	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$3.0$	$3$	✓	✓			$0.00122$	$0$	$1.35538$	Modular form 84.4.e.a.71.4
2-84-12.11-c3-0-16	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$3.0$	$3$	✓	✓			$-0.120$	$0$	$1.43635$	Modular form 84.4.e.a.71.12
2-84-12.11-c3-0-17	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$3.0$	$3$	✓	✓			$-0.177$	$0$	$1.57716$	Modular form 84.4.e.a.71.28
2-84-12.11-c3-0-18	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$3.0$	$3$	✓	✓			$0.344$	$0$	$1.61546$	Modular form 84.4.e.a.71.5
2-84-12.11-c3-0-19	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$3.0$	$3$	✓	✓			$0.120$	$0$	$1.64625$	Modular form 84.4.e.a.71.11
2-84-12.11-c3-0-2	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$3.0$	$3$	✓	✓			$-0.149$	$0$	$0.364156$	Modular form 84.4.e.a.71.15
2-84-12.11-c3-0-20	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$3.0$	$3$	✓	✓			$-0.116$	$0$	$1.72923$	Modular form 84.4.e.a.71.33
2-84-12.11-c3-0-21	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$3.0$	$3$	✓	✓			$0.149$	$0$	$1.94427$	Modular form 84.4.e.a.71.16
2-84-12.11-c3-0-22	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$3.0$	$3$	✓	✓			$0.238$	$0$	$2.23597$	Modular form 84.4.e.a.71.1
2-84-12.11-c3-0-23	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$3.0$	$3$	✓	✓			$-0.0855$	$0$	$2.25116$	Modular form 84.4.e.a.71.32
2-84-12.11-c3-0-24	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$3.0$	$3$	✓	✓			$0.0855$	$0$	$2.39829$	Modular form 84.4.e.a.71.31
2-84-12.11-c3-0-25	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$3.0$	$3$	✓	✓			$0.177$	$0$	$2.41042$	Modular form 84.4.e.a.71.35
2-84-12.11-c3-0-26	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$3.0$	$3$	✓	✓			$0.365$	$0$	$2.47363$	Modular form 84.4.e.a.71.8
2-84-12.11-c3-0-27	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$3.0$	$3$	✓	✓			$0.102$	$0$	$2.50231$	Modular form 84.4.e.a.71.22
2-84-12.11-c3-0-28	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$3.0$	$3$	✓	✓			$0.177$	$0$	$2.65553$	Modular form 84.4.e.a.71.27
2-84-12.11-c3-0-29	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$3.0$	$3$	✓	✓			$-0.483$	$0$	$2.71058$	Modular form 84.4.e.a.71.17
2-84-12.11-c3-0-3	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$3.0$	$3$	✓	✓			$0.378$	$0$	$0.408680$	Modular form 84.4.e.a.71.10
2-84-12.11-c3-0-30	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$3.0$	$3$	✓	✓			$0.116$	$0$	$2.71432$	Modular form 84.4.e.a.71.34
2-84-12.11-c3-0-31	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$3.0$	$3$	✓	✓			$0.326$	$0$	$2.92204$	Modular form 84.4.e.a.71.23
2-84-12.11-c3-0-32	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$3.0$	$3$	✓	✓			$-0.378$	$0$	$2.96623$	Modular form 84.4.e.a.71.9
2-84-12.11-c3-0-33	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$3.0$	$3$	✓	✓			$0.315$	$0$	$3.05300$	Modular form 84.4.e.a.71.29
2-84-12.11-c3-0-34	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$3.0$	$3$	✓	✓			$-0.471$	$0$	$3.42900$	Modular form 84.4.e.a.71.25
2-84-12.11-c3-0-35	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$3.0$	$3$	✓	✓			$-0.463$	$0$	$3.43562$	Modular form 84.4.e.a.71.19
2-84-12.11-c3-0-4	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$3.0$	$3$	✓	✓			$-0.365$	$0$	$0.491451$	Modular form 84.4.e.a.71.7
2-84-12.11-c3-0-5	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$3.0$	$3$	✓	✓			$0.471$	$0$	$0.546967$	Modular form 84.4.e.a.71.26
2-84-12.11-c3-0-6	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$3.0$	$3$	✓	✓			$0.463$	$0$	$0.788291$	Modular form 84.4.e.a.71.20
2-84-12.11-c3-0-7	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$3.0$	$3$	✓	✓			$0.0596$	$0$	$0.973347$	Modular form 84.4.e.a.71.13
2-84-12.11-c3-0-8	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$3.0$	$3$	✓	✓			$-0.00122$	$0$	$0.987693$	Modular form 84.4.e.a.71.3
2-84-12.11-c3-0-9	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$3.0$	$3$	✓	✓			$-0.238$	$0$	$1.02570$	Modular form 84.4.e.a.71.2
2-84-21.17-c3-0-0	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	21.17	$3.0$	$3$	✓	✓			$-0.277$	$0$	$0.462150$	Modular form 84.4.k.a.17.1
2-84-21.17-c3-0-1	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	21.17	$3.0$	$3$	✓	✓			$-0.353$	$0$	$0.800505$	Modular form 84.4.k.c.17.4
2-84-21.17-c3-0-2	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	21.17	$3.0$	$3$	✓	✓			$-0.0408$	$0$	$1.55073$	Modular form 84.4.k.c.17.5
2-84-21.17-c3-0-3	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	21.17	$3.0$	$3$	✓	✓			$0.0956$	$0$	$1.56205$	Modular form 84.4.k.c.17.1
2-84-21.17-c3-0-4	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	21.17	$3.0$	$3$	✓	✓			$-0.0960$	$0$	$1.57029$	Modular form 84.4.k.b.17.1
2-84-21.17-c3-0-5	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	21.17	$3.0$	$3$	✓	✓			$0.379$	$0$	$2.45612$	Modular form 84.4.k.c.17.2
2-84-21.17-c3-0-6	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	21.17	$3.0$	$3$	✓	✓			$0.355$	$0$	$2.60175$	Modular form 84.4.k.c.17.3
2-84-21.17-c3-0-7	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	21.17	$3.0$	$3$	✓	✓			$0.290$	$0$	$2.88722$	Modular form 84.4.k.c.17.6
2-84-21.20-c3-0-0	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	21.20	$3.0$	$3$	✓	✓			$-0.438$	$0$	$0.417560$	Modular form 84.4.f.a.41.6
2-84-21.20-c3-0-1	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	21.20	$3.0$	$3$	✓	✓			$-0.243$	$0$	$0.529520$	Modular form 84.4.f.a.41.1
2-84-21.20-c3-0-2	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	21.20	$3.0$	$3$	✓	✓			$-0.272$	$0$	$0.931614$	Modular form 84.4.f.a.41.4
2-84-21.20-c3-0-3	$2.22$	$4.95$	$2$	$2^{2} \cdot 3 \cdot 7$	21.20	$3.0$	$3$	✓	✓			$-0.0704$	$0$	$1.71155$	Modular form 84.4.f.a.41.8

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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.