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 256 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-34e2-1156.1015-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.1015	$0$	✓	✓	$0.368$	$0$	$0.773701$	Character $\chi_{1156}(1015, \cdot)$
1-34e2-1156.1023-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.1023	$0$	✓	✓	$-0.381$	$0$	$0.322820$	Character $\chi_{1156}(1023, \cdot)$
1-34e2-1156.1027-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.1027	$0$	✓	✓	$0.000865$	$0$	$0.948959$	Character $\chi_{1156}(1027, \cdot)$
1-34e2-1156.1031-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.1031	$0$	✓	✓	$0.0328$	$0$	$1.01802$	Character $\chi_{1156}(1031, \cdot)$
1-34e2-1156.1043-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.1043	$0$	✓	✓	$0.381$	$0$	$1.13060$	Character $\chi_{1156}(1043, \cdot)$
1-34e2-1156.1047-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.1047	$0$	✓	✓	$-0.256$	$0$	$0.508246$	Character $\chi_{1156}(1047, \cdot)$
1-34e2-1156.1051-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.1051	$0$	✓	✓	$0.000865$	$0$	$0.397708$	Character $\chi_{1156}(1051, \cdot)$
1-34e2-1156.1059-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.1059	$0$	✓	✓	$-0.0278$	$0$	$1.07772$	Character $\chi_{1156}(1059, \cdot)$
1-34e2-1156.107-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.107	$0$	✓	✓	$-0.0298$	$0$	$1.14298$	Character $\chi_{1156}(107, \cdot)$
1-34e2-1156.1083-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.1083	$0$	✓	✓	$0.00908$	$0$	$0.948911$	Character $\chi_{1156}(1083, \cdot)$
1-34e2-1156.1095-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.1095	$0$	✓	✓	$-0.449$	$0$	$0.350154$	Character $\chi_{1156}(1095, \cdot)$
1-34e2-1156.1099-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.1099	$0$	✓	✓	$0.277$	$0$	$1.59186$	Character $\chi_{1156}(1099, \cdot)$
1-34e2-1156.11-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.11	$0$	✓	✓	$0.000865$	$0$	$0.469404$	Character $\chi_{1156}(11, \cdot)$
1-34e2-1156.1111-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.1111	$0$	✓	✓	$0.467$	$0$	$0.253795$	Character $\chi_{1156}(1111, \cdot)$
1-34e2-1156.1115-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.1115	$0$	✓	✓	$-0.368$	$0$	$0.0465943$	Character $\chi_{1156}(1115, \cdot)$
1-34e2-1156.1119-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.1119	$0$	✓	✓	$-0.0328$	$0$	$0.726248$	Character $\chi_{1156}(1119, \cdot)$
1-34e2-1156.1127-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.1127	$0$	✓	✓	$0.000865$	$0$	$0.760762$	Character $\chi_{1156}(1127, \cdot)$
1-34e2-1156.1151-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.1151	$0$	✓	✓	$0.497$	$0$	$0.0578879$	Character $\chi_{1156}(1151, \cdot)$
1-34e2-1156.139-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.139	$0$	✓	✓	$-0.220$	$0$	$0.665523$	Character $\chi_{1156}(139, \cdot)$
1-34e2-1156.143-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.143	$0$	✓	✓	$0.0278$	$0$	$0.514589$	Character $\chi_{1156}(143, \cdot)$
1-34e2-1156.147-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.147	$0$	✓	✓	$0.490$	$0$	$0.436991$	Character $\chi_{1156}(147, \cdot)$
1-34e2-1156.159-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.159	$0$	✓	✓	$-0.470$	$0$	$1.60258$	Character $\chi_{1156}(159, \cdot)$
1-34e2-1156.163-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.163	$0$	✓	✓	$0.0328$	$0$	$0.669481$	Character $\chi_{1156}(163, \cdot)$
1-34e2-1156.167-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.167	$0$	✓	✓	$-0.467$	$0$	$0.358313$	Character $\chi_{1156}(167, \cdot)$
1-34e2-1156.175-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.175	$0$	✓	✓	$-0.243$	$0$	$0.763264$	Character $\chi_{1156}(175, \cdot)$
1-34e2-1156.199-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.199	$0$	✓	✓	$-0.0508$	$0$	$0.985432$	Character $\chi_{1156}(199, \cdot)$
1-34e2-1156.207-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.207	$0$	✓	✓	$0.425$	$0$	$1.08396$	Character $\chi_{1156}(207, \cdot)$
1-34e2-1156.211-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.211	$0$	✓	✓	$0.324$	$0$	$0.897569$	Character $\chi_{1156}(211, \cdot)$
1-34e2-1156.215-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.215	$0$	✓	✓	$0.0741$	$0$	$1.09118$	Character $\chi_{1156}(215, \cdot)$
1-34e2-1156.227-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.227	$0$	✓	✓	$-0.240$	$0$	$0.620747$	Character $\chi_{1156}(227, \cdot)$
1-34e2-1156.23-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.23	$0$	✓	✓	$0.347$	$0$	$0.996342$	Character $\chi_{1156}(23, \cdot)$
1-34e2-1156.231-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.231	$0$	✓	✓	$0.497$	$0$	$1.46560$	Character $\chi_{1156}(231, \cdot)$
1-34e2-1156.235-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.235	$0$	✓	✓	$0.000865$	$0$	$1.35476$	Character $\chi_{1156}(235, \cdot)$
1-34e2-1156.243-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.243	$0$	✓	✓	$-0.259$	$0$	$0.218718$	Character $\chi_{1156}(243, \cdot)$
1-34e2-1156.267-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.267	$0$	✓	✓	$0.372$	$0$	$0.0968076$	Character $\chi_{1156}(267, \cdot)$
1-34e2-1156.27-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.27	$0$	✓	✓	$0.0298$	$0$	$0.694375$	Character $\chi_{1156}(27, \cdot)$
1-34e2-1156.275-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.275	$0$	✓	✓	$0.240$	$0$	$1.11760$	Character $\chi_{1156}(275, \cdot)$
1-34e2-1156.279-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.279	$0$	✓	✓	$0.000865$	$0$	$0.740076$	Character $\chi_{1156}(279, \cdot)$
1-34e2-1156.283-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.283	$0$	✓	✓	$0.300$	$0$	$1.35089$	Character $\chi_{1156}(283, \cdot)$
1-34e2-1156.295-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.295	$0$	✓	✓	$-0.199$	$0$	$0.348694$	Character $\chi_{1156}(295, \cdot)$
1-34e2-1156.299-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.299	$0$	✓	✓	$0.000865$	$0$	$1.18060$	Character $\chi_{1156}(299, \cdot)$
1-34e2-1156.3-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.3	$0$	✓	✓	$-0.493$	$0$	$0.161333$	Character $\chi_{1156}(3, \cdot)$
1-34e2-1156.303-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.303	$0$	✓	✓	$0.240$	$0$	$1.18286$	Character $\chi_{1156}(303, \cdot)$
1-34e2-1156.31-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.31	$0$	✓	✓	$-0.377$	$0$	$0.266947$	Character $\chi_{1156}(31, \cdot)$
1-34e2-1156.311-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.311	$0$	✓	✓	$-0.127$	$0$	$0.264119$	Character $\chi_{1156}(311, \cdot)$
1-34e2-1156.335-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.335	$0$	✓	✓	$-0.259$	$0$	$0.676702$	Character $\chi_{1156}(335, \cdot)$
1-34e2-1156.343-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.343	$0$	✓	✓	$0.000865$	$0$	$0.495319$	Character $\chi_{1156}(343, \cdot)$
1-34e2-1156.347-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.347	$0$	✓	✓	$0.00237$	$0$	$1.04459$	Character $\chi_{1156}(347, \cdot)$
1-34e2-1156.351-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.351	$0$	✓	✓	$-0.240$	$0$	$0.188486$	Character $\chi_{1156}(351, \cdot)$
1-34e2-1156.363-r0-0-0	$5.36$	$5.36$	$1$	$2^{2} \cdot 17^{2}$	1156.363	$0$	✓	✓	$-0.425$	$0$	$0.250845$	Character $\chi_{1156}(363, \cdot)$

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Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
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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.