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 2655 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-5185-5185.1002-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.1002	$0$	✓	✓	$0.0756$	$0$	$0.909030$	Character $\chi_{5185}(1002, \cdot)$
1-5185-5185.1007-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.1007	$0$	✓	✓	$0.395$	$0$	$0.102365$	Character $\chi_{5185}(1007, \cdot)$
1-5185-5185.1009-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.1009	$0$	✓	✓	$0.0243$	$0$	$1.14567$	Character $\chi_{5185}(1009, \cdot)$
1-5185-5185.1014-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.1014	$0$	✓	✓	$-0.407$	$0$	$1.41343$	Character $\chi_{5185}(1014, \cdot)$
1-5185-5185.1017-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.1017	$0$	✓	✓	$0.0214$	$0$	$0.822103$	Character $\chi_{5185}(1017, \cdot)$
1-5185-5185.1023-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.1023	$0$	✓	✓	$-0.180$	$0$	$0.586581$	Character $\chi_{5185}(1023, \cdot)$
1-5185-5185.1024-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.1024	$0$	✓	✓	$0.0289$	$0$	$0.298861$	Character $\chi_{5185}(1024, \cdot)$
1-5185-5185.1032-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.1032	$0$	✓	✓	$0.0702$	$0$	$0.539983$	Character $\chi_{5185}(1032, \cdot)$
1-5185-5185.1042-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.1042	$0$	✓	✓	$0.440$	$0$	$1.14355$	Character $\chi_{5185}(1042, \cdot)$
1-5185-5185.1044-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.1044	$0$	✓	✓	$0.00189$	$0$	$1.25811$	Character $\chi_{5185}(1044, \cdot)$
1-5185-5185.1057-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.1057	$0$	✓	✓	$-0.198$	$0$	$0.115668$	Character $\chi_{5185}(1057, \cdot)$
1-5185-5185.1058-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.1058	$0$	✓	✓	$0.0837$	$0$	$0.682573$	Character $\chi_{5185}(1058, \cdot)$
1-5185-5185.1063-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.1063	$0$	✓	✓	$0.281$	$0$	$0.714861$	Character $\chi_{5185}(1063, \cdot)$
1-5185-5185.1067-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.1067	$0$	✓	✓	$-0.0916$	$0$	$0.625055$	Character $\chi_{5185}(1067, \cdot)$
1-5185-5185.107-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.107	$0$	✓	✓	$0.468$	$0$	$0.360918$	Character $\chi_{5185}(107, \cdot)$
1-5185-5185.1074-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.1074	$0$	✓	✓	$-0.0243$	$0$	$0.682123$	Character $\chi_{5185}(1074, \cdot)$
1-5185-5185.1078-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.1078	$0$	✓	✓	$0.0811$	$0$	$0.181668$	Character $\chi_{5185}(1078, \cdot)$
1-5185-5185.1079-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.1079	$0$	✓	✓	$0.390$	$0$	$1.00667$	Character $\chi_{5185}(1079, \cdot)$
1-5185-5185.108-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.108	$0$	✓	✓	$0.0106$	$0$	$1.80832$	Character $\chi_{5185}(108, \cdot)$
1-5185-5185.1082-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.1082	$0$	✓	✓	$0.348$	$0$	$0.132103$	Character $\chi_{5185}(1082, \cdot)$
1-5185-5185.1083-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.1083	$0$	✓	✓	$0.231$	$0$	$1.43048$	Character $\chi_{5185}(1083, \cdot)$
1-5185-5185.1084-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.1084	$0$	✓	✓	$-0.102$	$0$	$0.723890$	Character $\chi_{5185}(1084, \cdot)$
1-5185-5185.1087-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.1087	$0$	✓	✓	$-0.342$	$0$	$0.629468$	Character $\chi_{5185}(1087, \cdot)$
1-5185-5185.1092-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.1092	$0$	✓	✓	$0.300$	$0$	$0.626173$	Character $\chi_{5185}(1092, \cdot)$
1-5185-5185.1093-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.1093	$0$	✓	✓	$-0.0454$	$0$	$1.04518$	Character $\chi_{5185}(1093, \cdot)$
1-5185-5185.1102-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.1102	$0$	✓	✓	$0.471$	$0$	$1.01747$	Character $\chi_{5185}(1102, \cdot)$
1-5185-5185.1112-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.1112	$0$	✓	✓	$0.128$	$0$	$0.648424$	Character $\chi_{5185}(1112, \cdot)$
1-5185-5185.1114-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.1114	$0$	✓	✓	$0.245$	$0$	$0.970322$	Character $\chi_{5185}(1114, \cdot)$
1-5185-5185.1117-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.1117	$0$	✓	✓	$-0.424$	$0$	$1.68741$	Character $\chi_{5185}(1117, \cdot)$
1-5185-5185.1119-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.1119	$0$	✓	✓	$0.294$	$0$	$0.580235$	Character $\chi_{5185}(1119, \cdot)$
1-5185-5185.1129-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.1129	$0$	✓	✓	$-0.334$	$0$	$1.76564$	Character $\chi_{5185}(1129, \cdot)$
1-5185-5185.113-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.113	$0$	✓	✓	$0.406$	$0$	$0.300879$	Character $\chi_{5185}(113, \cdot)$
1-5185-5185.1132-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.1132	$0$	✓	✓	$0.176$	$0$	$0.883573$	Character $\chi_{5185}(1132, \cdot)$
1-5185-5185.1138-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.1138	$0$	✓	✓	$-0.411$	$0$	$0.918595$	Character $\chi_{5185}(1138, \cdot)$
1-5185-5185.114-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.114	$0$	✓	✓	$-0.344$	$0$	$0.378344$	Character $\chi_{5185}(114, \cdot)$
1-5185-5185.1148-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.1148	$0$	✓	✓	$-0.135$	$0$	$0.633624$	Character $\chi_{5185}(1148, \cdot)$
1-5185-5185.1149-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.1149	$0$	✓	✓	$-0.213$	$0$	$0.685766$	Character $\chi_{5185}(1149, \cdot)$
1-5185-5185.1152-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.1152	$0$	✓	✓	$-0.245$	$0$	$0.299419$	Character $\chi_{5185}(1152, \cdot)$
1-5185-5185.1154-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.1154	$0$	✓	✓	$0.494$	$0$	$0.0418035$	Character $\chi_{5185}(1154, \cdot)$
1-5185-5185.1162-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.1162	$0$	✓	✓	$0.477$	$0$	$0.866903$	Character $\chi_{5185}(1162, \cdot)$
1-5185-5185.1163-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.1163	$0$	✓	✓	$-0.468$	$0$	$1.28484$	Character $\chi_{5185}(1163, \cdot)$
1-5185-5185.1164-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.1164	$0$	✓	✓	$-0.171$	$0$	$0.283779$	Character $\chi_{5185}(1164, \cdot)$
1-5185-5185.1168-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.1168	$0$	✓	✓	$-0.176$	$0$	$0.0540856$	Character $\chi_{5185}(1168, \cdot)$
1-5185-5185.1177-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.1177	$0$	✓	✓	$0.423$	$0$	$0.177954$	Character $\chi_{5185}(1177, \cdot)$
1-5185-5185.1178-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.1178	$0$	✓	✓	$0.459$	$0$	$0.972777$	Character $\chi_{5185}(1178, \cdot)$
1-5185-5185.1182-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.1182	$0$	✓	✓	$-0.0445$	$0$	$0.924029$	Character $\chi_{5185}(1182, \cdot)$
1-5185-5185.1188-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.1188	$0$	✓	✓	$-0.0270$	$0$	$0.517126$	Character $\chi_{5185}(1188, \cdot)$
1-5185-5185.1192-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.1192	$0$	✓	✓	$0.384$	$0$	$0.303147$	Character $\chi_{5185}(1192, \cdot)$
1-5185-5185.1193-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.1193	$0$	✓	✓	$0.380$	$0$	$0.834913$	Character $\chi_{5185}(1193, \cdot)$
1-5185-5185.12-r0-0-0	$24.0$	$24.0$	$1$	$5 \cdot 17 \cdot 61$	5185.12	$0$	✓	✓	$-0.442$	$0$	$0.217094$	Character $\chi_{5185}(12, \cdot)$

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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.