LMFDB - L-function search results

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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 85 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-532-532.107-r0-0-0	$2.47$	$2.47$	$1$	$2^{2} \cdot 7 \cdot 19$	532.107	$0$	✓	✓	$-0.172$	$0$	$0.958031$	Character $\chi_{532}(107, \cdot)$
1-532-532.111-r0-0-0	$2.47$	$2.47$	$1$	$2^{2} \cdot 7 \cdot 19$	532.111	$0$	✓	✓	$-0.108$	$0$	$1.18905$	Character $\chi_{532}(111, \cdot)$
1-532-532.131-r0-0-0	$2.47$	$2.47$	$1$	$2^{2} \cdot 7 \cdot 19$	532.131	$0$	✓	✓	$0.310$	$0$	$1.61081$	Character $\chi_{532}(131, \cdot)$
1-532-532.135-r0-0-0	$2.47$	$2.47$	$1$	$2^{2} \cdot 7 \cdot 19$	532.135	$0$	✓	✓	$-0.160$	$0$	$0.550130$	Character $\chi_{532}(135, \cdot)$
1-532-532.139-r0-0-0	$2.47$	$2.47$	$1$	$2^{2} \cdot 7 \cdot 19$	532.139	$0$	✓	✓	$0.108$	$0$	$1.49339$	Character $\chi_{532}(139, \cdot)$
1-532-532.151-r0-0-0	$2.47$	$2.47$	$1$	$2^{2} \cdot 7 \cdot 19$	532.151	$0$	✓	✓	$-0.426$	$0$	$0.165477$	Character $\chi_{532}(151, \cdot)$
1-532-532.159-r0-0-0	$2.47$	$2.47$	$1$	$2^{2} \cdot 7 \cdot 19$	532.159	$0$	✓	✓	$-0.220$	$0$	$0.652798$	Character $\chi_{532}(159, \cdot)$
1-532-532.179-r0-0-0	$2.47$	$2.47$	$1$	$2^{2} \cdot 7 \cdot 19$	532.179	$0$	✓	✓	$0.172$	$0$	$1.25689$	Character $\chi_{532}(179, \cdot)$
1-532-532.187-r0-0-0	$2.47$	$2.47$	$1$	$2^{2} \cdot 7 \cdot 19$	532.187	$0$	✓	✓	$-0.295$	$0$	$0.269407$	Character $\chi_{532}(187, \cdot)$
1-532-532.195-r0-0-0	$2.47$	$2.47$	$1$	$2^{2} \cdot 7 \cdot 19$	532.195	$0$	✓	✓	$-0.0215$	$0$	$1.02489$	Character $\chi_{532}(195, \cdot)$
1-532-532.199-r0-0-0	$2.47$	$2.47$	$1$	$2^{2} \cdot 7 \cdot 19$	532.199	$0$	✓	✓	$-0.310$	$0$	$0.368552$	Character $\chi_{532}(199, \cdot)$
1-532-532.215-r0-0-0	$2.47$	$2.47$	$1$	$2^{2} \cdot 7 \cdot 19$	532.215	$0$	✓	✓	$-0.0781$	$0$	$0.610468$	Character $\chi_{532}(215, \cdot)$
1-532-532.219-r0-0-0	$2.47$	$2.47$	$1$	$2^{2} \cdot 7 \cdot 19$	532.219	$0$	✓	✓	$0.0137$	$0$	$1.17891$	Character $\chi_{532}(219, \cdot)$
1-532-532.251-r0-0-0	$2.47$	$2.47$	$1$	$2^{2} \cdot 7 \cdot 19$	532.251	$0$	✓	✓	$0.0215$	$0$	$0.777758$	Character $\chi_{532}(251, \cdot)$
1-532-532.271-r0-0-0	$2.47$	$2.47$	$1$	$2^{2} \cdot 7 \cdot 19$	532.271	$0$	✓	✓	$-0.208$	$0$	$0.729515$	Character $\chi_{532}(271, \cdot)$
1-532-532.283-r0-0-0	$2.47$	$2.47$	$1$	$2^{2} \cdot 7 \cdot 19$	532.283	$0$	✓	✓	$-0.315$	$0$	$0.811065$	Character $\chi_{532}(283, \cdot)$
1-532-532.303-r0-0-0	$2.47$	$2.47$	$1$	$2^{2} \cdot 7 \cdot 19$	532.303	$0$	✓	✓	$0.426$	$0$	$1.38841$	Character $\chi_{532}(303, \cdot)$
1-532-532.311-r0-0-0	$2.47$	$2.47$	$1$	$2^{2} \cdot 7 \cdot 19$	532.311	$0$	✓	✓	$0.152$	$0$	$1.83673$	Character $\chi_{532}(311, \cdot)$
1-532-532.319-r0-0-0	$2.47$	$2.47$	$1$	$2^{2} \cdot 7 \cdot 19$	532.319	$0$	✓	✓	$0.220$	$0$	$1.70223$	Character $\chi_{532}(319, \cdot)$
1-532-532.327-r0-0-0	$2.47$	$2.47$	$1$	$2^{2} \cdot 7 \cdot 19$	532.327	$0$	✓	✓	$-0.165$	$0$	$1.18372$	Character $\chi_{532}(327, \cdot)$
1-532-532.331-r0-0-0	$2.47$	$2.47$	$1$	$2^{2} \cdot 7 \cdot 19$	532.331	$0$	✓	✓	$0.0256$	$0$	$1.20522$	Character $\chi_{532}(331, \cdot)$
1-532-532.339-r0-0-0	$2.47$	$2.47$	$1$	$2^{2} \cdot 7 \cdot 19$	532.339	$0$	✓	✓	$0.0781$	$0$	$0.873936$	Character $\chi_{532}(339, \cdot)$
1-532-532.367-r0-0-0	$2.47$	$2.47$	$1$	$2^{2} \cdot 7 \cdot 19$	532.367	$0$	✓	✓	$0.295$	$0$	$1.64060$	Character $\chi_{532}(367, \cdot)$
1-532-532.375-r0-0-0	$2.47$	$2.47$	$1$	$2^{2} \cdot 7 \cdot 19$	532.375	$0$	✓	✓	$-0.0742$	$0$	$0.614929$	Character $\chi_{532}(375, \cdot)$
1-532-532.391-r0-0-0	$2.47$	$2.47$	$1$	$2^{2} \cdot 7 \cdot 19$	532.391	$0$	✓	✓	$0.0338$	$0$	$1.12072$	Character $\chi_{532}(391, \cdot)$
1-532-532.423-r0-0-0	$2.47$	$2.47$	$1$	$2^{2} \cdot 7 \cdot 19$	532.423	$0$	✓	✓	$0.165$	$0$	$1.34815$	Character $\chi_{532}(423, \cdot)$
1-532-532.431-r0-0-0	$2.47$	$2.47$	$1$	$2^{2} \cdot 7 \cdot 19$	532.431	$0$	✓	✓	$0.406$	$0$	$0.201838$	Character $\chi_{532}(431, \cdot)$
1-532-532.459-r0-0-0	$2.47$	$2.47$	$1$	$2^{2} \cdot 7 \cdot 19$	532.459	$0$	✓	✓	$-0.259$	$0$	$0.711233$	Character $\chi_{532}(459, \cdot)$
1-532-532.467-r0-0-0	$2.47$	$2.47$	$1$	$2^{2} \cdot 7 \cdot 19$	532.467	$0$	✓	✓	$-0.152$	$0$	$1.08571$	Character $\chi_{532}(467, \cdot)$
1-532-532.47-r0-0-0	$2.47$	$2.47$	$1$	$2^{2} \cdot 7 \cdot 19$	532.47	$0$	✓	✓	$0.315$	$0$	$1.83054$	Character $\chi_{532}(47, \cdot)$
1-532-532.471-r0-0-0	$2.47$	$2.47$	$1$	$2^{2} \cdot 7 \cdot 19$	532.471	$0$	✓	✓	$0.0742$	$0$	$1.22435$	Character $\chi_{532}(471, \cdot)$
1-532-532.479-r0-0-0	$2.47$	$2.47$	$1$	$2^{2} \cdot 7 \cdot 19$	532.479	$0$	✓	✓	$0.208$	$0$	$1.41233$	Character $\chi_{532}(479, \cdot)$
1-532-532.487-r0-0-0	$2.47$	$2.47$	$1$	$2^{2} \cdot 7 \cdot 19$	532.487	$0$	✓	✓	$-0.0256$	$0$	$1.26229$	Character $\chi_{532}(487, \cdot)$
1-532-532.503-r0-0-0	$2.47$	$2.47$	$1$	$2^{2} \cdot 7 \cdot 19$	532.503	$0$	✓	✓	$0.497$	$0$	$0.451924$	Character $\chi_{532}(503, \cdot)$
1-532-532.51-r0-0-0	$2.47$	$2.47$	$1$	$2^{2} \cdot 7 \cdot 19$	532.51	$0$	✓	✓	$0.259$	$0$	$1.40559$	Character $\chi_{532}(51, \cdot)$
1-532-532.515-r0-0-0	$2.47$	$2.47$	$1$	$2^{2} \cdot 7 \cdot 19$	532.515	$0$	✓	✓	$-0.0137$	$0$	$1.27899$	Character $\chi_{532}(515, \cdot)$
1-532-532.527-r0-0-0	$2.47$	$2.47$	$1$	$2^{2} \cdot 7 \cdot 19$	532.527	$0$	✓	✓	$-0.220$	$0$	$1.02821$	Character $\chi_{532}(527, \cdot)$
1-532-532.55-r0-0-0	$2.47$	$2.47$	$1$	$2^{2} \cdot 7 \cdot 19$	532.55	$0$	✓	✓	$0.497$	$0$	$1.93435$	Character $\chi_{532}(55, \cdot)$
1-532-532.67-r0-0-0	$2.47$	$2.47$	$1$	$2^{2} \cdot 7 \cdot 19$	532.67	$0$	✓	✓	$0.160$	$0$	$0.858530$	Character $\chi_{532}(67, \cdot)$
1-532-532.79-r0-0-0	$2.47$	$2.47$	$1$	$2^{2} \cdot 7 \cdot 19$	532.79	$0$	✓	✓	$-0.406$	$0$	$2.38792$	Character $\chi_{532}(79, \cdot)$
1-532-532.83-r0-0-0	$2.47$	$2.47$	$1$	$2^{2} \cdot 7 \cdot 19$	532.83	$0$	✓	✓	$-0.0338$	$0$	$0.790224$	Character $\chi_{532}(83, \cdot)$
1-532-532.87-r0-0-0	$2.47$	$2.47$	$1$	$2^{2} \cdot 7 \cdot 19$	532.87	$0$	✓	✓	$0.220$	$0$	$1.03543$	Character $\chi_{532}(87, \cdot)$
1-532-532.103-r1-0-0	$57.1$	$57.1$	$1$	$2^{2} \cdot 7 \cdot 19$	532.103	$1$	✓	✓	$0.412$	$0$	$0.0433610$	Character $\chi_{532}(103, \cdot)$
1-532-532.11-r1-0-0	$57.1$	$57.1$	$1$	$2^{2} \cdot 7 \cdot 19$	532.11	$1$	✓	✓	$0.107$	$0$	$1.40387$	Character $\chi_{532}(11, \cdot)$
1-532-532.123-r1-0-0	$57.1$	$57.1$	$1$	$2^{2} \cdot 7 \cdot 19$	532.123	$1$	✓	✓	$-0.424$	$0$	$0.138922$	Character $\chi_{532}(123, \cdot)$
1-532-532.143-r1-0-0	$57.1$	$57.1$	$1$	$2^{2} \cdot 7 \cdot 19$	532.143	$1$	✓	✓	$-0.226$	$0$	$0.692083$	Character $\chi_{532}(143, \cdot)$
1-532-532.163-r1-0-0	$57.1$	$57.1$	$1$	$2^{2} \cdot 7 \cdot 19$	532.163	$1$	✓	✓	$-0.0393$	$0$	$0.453510$	Character $\chi_{532}(163, \cdot)$
1-532-532.167-r1-0-0	$57.1$	$57.1$	$1$	$2^{2} \cdot 7 \cdot 19$	532.167	$1$	✓	✓	$-0.352$	$0$	$0.282344$	Character $\chi_{532}(167, \cdot)$
1-532-532.207-r1-0-0	$57.1$	$57.1$	$1$	$2^{2} \cdot 7 \cdot 19$	532.207	$1$	✓	✓	$-0.429$	$0$	$1.35358$	Character $\chi_{532}(207, \cdot)$
1-532-532.223-r1-0-0	$57.1$	$57.1$	$1$	$2^{2} \cdot 7 \cdot 19$	532.223	$1$	✓	✓	$0.352$	$0$	$1.52448$	Character $\chi_{532}(223, \cdot)$

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Classical	Maass
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Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

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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.