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 432 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-3520-3520.1019-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.1019	$0$	✓	✓	$-0.0954$	$0$	$0.707176$	Character $\chi_{3520}(1019, \cdot)$
1-3520-3520.1027-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.1027	$0$	✓	✓	$0.0512$	$0$	$0.770177$	Character $\chi_{3520}(1027, \cdot)$
1-3520-3520.1043-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.1043	$0$	✓	✓	$0.496$	$0$	$0.318305$	Character $\chi_{3520}(1043, \cdot)$
1-3520-3520.1053-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.1053	$0$	✓	✓	$0.382$	$0$	$0.186282$	Character $\chi_{3520}(1053, \cdot)$
1-3520-3520.1077-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.1077	$0$	✓	✓	$-0.0212$	$0$	$0.947106$	Character $\chi_{3520}(1077, \cdot)$
1-3520-3520.1083-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.1083	$0$	✓	✓	$-0.179$	$0$	$0.353025$	Character $\chi_{3520}(1083, \cdot)$
1-3520-3520.1099-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.1099	$0$	✓	✓	$-0.359$	$0$	$0.470437$	Character $\chi_{3520}(1099, \cdot)$
1-3520-3520.1109-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.1109	$0$	✓	✓	$-0.247$	$0$	$0.628940$	Character $\chi_{3520}(1109, \cdot)$
1-3520-3520.1117-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.1117	$0$	✓	✓	$0.150$	$0$	$1.04155$	Character $\chi_{3520}(1117, \cdot)$
1-3520-3520.1139-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.1139	$0$	✓	✓	$-0.312$	$0$	$0.399194$	Character $\chi_{3520}(1139, \cdot)$
1-3520-3520.1147-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.1147	$0$	✓	✓	$-0.249$	$0$	$0.676881$	Character $\chi_{3520}(1147, \cdot)$
1-3520-3520.1149-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.1149	$0$	✓	✓	$0.247$	$0$	$0.824467$	Character $\chi_{3520}(1149, \cdot)$
1-3520-3520.1157-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.1157	$0$	✓	✓	$-0.349$	$0$	$0.540432$	Character $\chi_{3520}(1157, \cdot)$
1-3520-3520.117-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.117	$0$	✓	✓	$-0.382$	$0$	$1.39443$	Character $\chi_{3520}(117, \cdot)$
1-3520-3520.1173-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.1173	$0$	✓	✓	$0.441$	$0$	$1.08264$	Character $\chi_{3520}(1173, \cdot)$
1-3520-3520.1179-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.1179	$0$	✓	✓	$-0.187$	$0$	$0.366816$	Character $\chi_{3520}(1179, \cdot)$
1-3520-3520.1203-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.1203	$0$	✓	✓	$0.249$	$0$	$1.06157$	Character $\chi_{3520}(1203, \cdot)$
1-3520-3520.1253-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.1253	$0$	✓	✓	$-0.0724$	$0$	$1.14408$	Character $\chi_{3520}(1253, \cdot)$
1-3520-3520.1269-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.1269	$0$	✓	✓	$-0.00559$	$0$	$0.887719$	Character $\chi_{3520}(1269, \cdot)$
1-3520-3520.1293-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.1293	$0$	✓	✓	$0.349$	$0$	$0.927808$	Character $\chi_{3520}(1293, \cdot)$
1-3520-3520.13-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.13	$0$	✓	✓	$0.442$	$0$	$0.178012$	Character $\chi_{3520}(13, \cdot)$
1-3520-3520.1307-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.1307	$0$	✓	✓	$0.211$	$0$	$0.868233$	Character $\chi_{3520}(1307, \cdot)$
1-3520-3520.1317-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.1317	$0$	✓	✓	$0.464$	$0$	$0.219480$	Character $\chi_{3520}(1317, \cdot)$
1-3520-3520.1323-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.1323	$0$	✓	✓	$-0.0512$	$0$	$0.773545$	Character $\chi_{3520}(1323, \cdot)$
1-3520-3520.1333-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.1333	$0$	✓	✓	$-0.150$	$0$	$0.641196$	Character $\chi_{3520}(1333, \cdot)$
1-3520-3520.1339-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.1339	$0$	✓	✓	$-0.373$	$0$	$0.615162$	Character $\chi_{3520}(1339, \cdot)$
1-3520-3520.1347-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.1347	$0$	✓	✓	$0.0901$	$0$	$0.946378$	Character $\chi_{3520}(1347, \cdot)$
1-3520-3520.1389-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.1389	$0$	✓	✓	$-0.119$	$0$	$0.273266$	Character $\chi_{3520}(1389, \cdot)$
1-3520-3520.139-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.139	$0$	✓	✓	$0.279$	$0$	$1.09173$	Character $\chi_{3520}(139, \cdot)$
1-3520-3520.1437-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.1437	$0$	✓	✓	$-0.163$	$0$	$0.441492$	Character $\chi_{3520}(1437, \cdot)$
1-3520-3520.1459-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.1459	$0$	✓	✓	$0.373$	$0$	$1.11877$	Character $\chi_{3520}(1459, \cdot)$
1-3520-3520.1467-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.1467	$0$	✓	✓	$-0.0424$	$0$	$0.970100$	Character $\chi_{3520}(1467, \cdot)$
1-3520-3520.147-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.147	$0$	✓	✓	$-0.0737$	$0$	$0.299083$	Character $\chi_{3520}(147, \cdot)$
1-3520-3520.1483-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.1483	$0$	✓	✓	$-0.0901$	$0$	$0.533579$	Character $\chi_{3520}(1483, \cdot)$
1-3520-3520.1493-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.1493	$0$	✓	✓	$0.163$	$0$	$1.13383$	Character $\chi_{3520}(1493, \cdot)$
1-3520-3520.1517-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.1517	$0$	✓	✓	$0.0724$	$0$	$1.01808$	Character $\chi_{3520}(1517, \cdot)$
1-3520-3520.1523-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.1523	$0$	✓	✓	$0.288$	$0$	$0.0511981$	Character $\chi_{3520}(1523, \cdot)$
1-3520-3520.1539-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.1539	$0$	✓	✓	$0.359$	$0$	$1.01419$	Character $\chi_{3520}(1539, \cdot)$
1-3520-3520.1549-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.1549	$0$	✓	✓	$0.341$	$0$	$1.46518$	Character $\chi_{3520}(1549, \cdot)$
1-3520-3520.1557-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.1557	$0$	✓	✓	$-0.0677$	$0$	$0.657045$	Character $\chi_{3520}(1557, \cdot)$
1-3520-3520.1579-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.1579	$0$	✓	✓	$-0.405$	$0$	$0.113153$	Character $\chi_{3520}(1579, \cdot)$
1-3520-3520.1587-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.1587	$0$	✓	✓	$0.218$	$0$	$0.766051$	Character $\chi_{3520}(1587, \cdot)$
1-3520-3520.1589-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.1589	$0$	✓	✓	$0.0333$	$0$	$0.621265$	Character $\chi_{3520}(1589, \cdot)$
1-3520-3520.1597-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.1597	$0$	✓	✓	$0.243$	$0$	$1.13464$	Character $\chi_{3520}(1597, \cdot)$
1-3520-3520.1613-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.1613	$0$	✓	✓	$0.0352$	$0$	$0.936733$	Character $\chi_{3520}(1613, \cdot)$
1-3520-3520.1619-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.1619	$0$	✓	✓	$0.280$	$0$	$1.26278$	Character $\chi_{3520}(1619, \cdot)$
1-3520-3520.163-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.163	$0$	✓	✓	$-0.371$	$0$	$0.0303668$	Character $\chi_{3520}(163, \cdot)$
1-3520-3520.1643-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.1643	$0$	✓	✓	$0.156$	$0$	$1.09958$	Character $\chi_{3520}(1643, \cdot)$
1-3520-3520.1693-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.1693	$0$	✓	✓	$0.0212$	$0$	$0.545635$	Character $\chi_{3520}(1693, \cdot)$
1-3520-3520.1709-r0-0-0	$16.3$	$16.3$	$1$	$2^{6} \cdot 5 \cdot 11$	3520.1709	$0$	✓	✓	$0.0881$	$0$	$0.503939$	Character $\chi_{3520}(1709, \cdot)$

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Classical	Maass
Hilbert	Bianchi

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.