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 531 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-2013-2013.1004-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.1004	$0$	✓	✓	$0.0395$	$0$	$0.361582$	Character $\chi_{2013}(1004, \cdot)$
1-2013-2013.1016-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.1016	$0$	✓	✓	$-0.0693$	$0$	$0.443158$	Character $\chi_{2013}(1016, \cdot)$
1-2013-2013.1022-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.1022	$0$	✓	✓	$-0.306$	$0$	$0.775937$	Character $\chi_{2013}(1022, \cdot)$
1-2013-2013.1025-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.1025	$0$	✓	✓	$-0.219$	$0$	$0.346765$	Character $\chi_{2013}(1025, \cdot)$
1-2013-2013.104-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.104	$0$	✓	✓	$-0.358$	$0$	$0.626778$	Character $\chi_{2013}(104, \cdot)$
1-2013-2013.1040-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.1040	$0$	✓	✓	$0.497$	$0$	$1.46925$	Character $\chi_{2013}(1040, \cdot)$
1-2013-2013.1043-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.1043	$0$	✓	✓	$0.195$	$0$	$0.667056$	Character $\chi_{2013}(1043, \cdot)$
1-2013-2013.1052-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.1052	$0$	✓	✓	$0.239$	$0$	$0.000104693$	Character $\chi_{2013}(1052, \cdot)$
1-2013-2013.1061-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.1061	$0$	✓	✓	$0.399$	$0$	$1.62133$	Character $\chi_{2013}(1061, \cdot)$
1-2013-2013.1064-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.1064	$0$	✓	✓	$-0.411$	$0$	$1.74461$	Character $\chi_{2013}(1064, \cdot)$
1-2013-2013.107-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.107	$0$	✓	✓	$-0.345$	$0$	$0.602413$	Character $\chi_{2013}(107, \cdot)$
1-2013-2013.1070-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.1070	$0$	✓	✓	$0.125$	$0$	$0.870053$	Character $\chi_{2013}(1070, \cdot)$
1-2013-2013.1073-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.1073	$0$	✓	✓	$-0.368$	$0$	$0.302274$	Character $\chi_{2013}(1073, \cdot)$
1-2013-2013.1085-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.1085	$0$	✓	✓	$0.212$	$0$	$1.03909$	Character $\chi_{2013}(1085, \cdot)$
1-2013-2013.1097-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.1097	$0$	✓	✓	$-0.0389$	$0$	$0.556076$	Character $\chi_{2013}(1097, \cdot)$
1-2013-2013.1109-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.1109	$0$	✓	✓	$0.237$	$0$	$0.497256$	Character $\chi_{2013}(1109, \cdot)$
1-2013-2013.1115-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.1115	$0$	✓	✓	$0.174$	$0$	$0.879188$	Character $\chi_{2013}(1115, \cdot)$
1-2013-2013.1118-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.1118	$0$	✓	✓	$-0.102$	$0$	$0.560198$	Character $\chi_{2013}(1118, \cdot)$
1-2013-2013.1127-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.1127	$0$	✓	✓	$-0.484$	$0$	$0.0615841$	Character $\chi_{2013}(1127, \cdot)$
1-2013-2013.1136-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.1136	$0$	✓	✓	$-0.283$	$0$	$0.791147$	Character $\chi_{2013}(1136, \cdot)$
1-2013-2013.1139-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.1139	$0$	✓	✓	$0.00905$	$0$	$0.653370$	Character $\chi_{2013}(1139, \cdot)$
1-2013-2013.1142-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.1142	$0$	✓	✓	$0.358$	$0$	$1.35611$	Character $\chi_{2013}(1142, \cdot)$
1-2013-2013.1148-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.1148	$0$	✓	✓	$0.323$	$0$	$1.36386$	Character $\chi_{2013}(1148, \cdot)$
1-2013-2013.1154-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.1154	$0$	✓	✓	$-0.343$	$0$	$0.746025$	Character $\chi_{2013}(1154, \cdot)$
1-2013-2013.1163-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.1163	$0$	✓	✓	$0.267$	$0$	$0.188383$	Character $\chi_{2013}(1163, \cdot)$
1-2013-2013.1169-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.1169	$0$	✓	✓	$0.488$	$0$	$1.82627$	Character $\chi_{2013}(1169, \cdot)$
1-2013-2013.1172-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.1172	$0$	✓	✓	$0.000100$	$0$	$0.976722$	Character $\chi_{2013}(1172, \cdot)$
1-2013-2013.1184-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.1184	$0$	✓	✓	$-0.105$	$0$	$1.00378$	Character $\chi_{2013}(1184, \cdot)$
1-2013-2013.1202-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.1202	$0$	✓	✓	$0.195$	$0$	$1.13098$	Character $\chi_{2013}(1202, \cdot)$
1-2013-2013.1205-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.1205	$0$	✓	✓	$0.447$	$0$	$0.862841$	Character $\chi_{2013}(1205, \cdot)$
1-2013-2013.1214-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.1214	$0$	✓	✓	$-0.488$	$0$	$0.0325591$	Character $\chi_{2013}(1214, \cdot)$
1-2013-2013.1217-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.1217	$0$	✓	✓	$0.180$	$0$	$0.975592$	Character $\chi_{2013}(1217, \cdot)$
1-2013-2013.1223-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.1223	$0$	✓	✓	$-0.00905$	$0$	$1.03489$	Character $\chi_{2013}(1223, \cdot)$
1-2013-2013.1226-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.1226	$0$	✓	✓	$0.0804$	$0$	$1.06149$	Character $\chi_{2013}(1226, \cdot)$
1-2013-2013.1229-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.1229	$0$	✓	✓	$0.0471$	$0$	$1.32161$	Character $\chi_{2013}(1229, \cdot)$
1-2013-2013.1241-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.1241	$0$	✓	✓	$0.123$	$0$	$1.42739$	Character $\chi_{2013}(1241, \cdot)$
1-2013-2013.1256-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.1256	$0$	✓	✓	$0.124$	$0$	$1.51469$	Character $\chi_{2013}(1256, \cdot)$
1-2013-2013.1262-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.1262	$0$	✓	✓	$-0.210$	$0$	$0.691709$	Character $\chi_{2013}(1262, \cdot)$
1-2013-2013.1274-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.1274	$0$	✓	✓	$-0.380$	$0$	$0.285871$	Character $\chi_{2013}(1274, \cdot)$
1-2013-2013.1286-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.1286	$0$	✓	✓	$0.465$	$0$	$1.01813$	Character $\chi_{2013}(1286, \cdot)$
1-2013-2013.1292-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.1292	$0$	✓	✓	$0.123$	$0$	$0.689356$	Character $\chi_{2013}(1292, \cdot)$
1-2013-2013.1295-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.1295	$0$	✓	✓	$-0.212$	$0$	$0.709413$	Character $\chi_{2013}(1295, \cdot)$
1-2013-2013.1307-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.1307	$0$	✓	✓	$0.494$	$0$	$0.549953$	Character $\chi_{2013}(1307, \cdot)$
1-2013-2013.131-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.131	$0$	✓	✓	$0.0860$	$0$	$0.583436$	Character $\chi_{2013}(131, \cdot)$
1-2013-2013.1313-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.1313	$0$	✓	✓	$0.437$	$0$	$0.0822690$	Character $\chi_{2013}(1313, \cdot)$
1-2013-2013.1322-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.1322	$0$	✓	✓	$0.497$	$0$	$0.311528$	Character $\chi_{2013}(1322, \cdot)$
1-2013-2013.1325-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.1325	$0$	✓	✓	$0.243$	$0$	$0.622321$	Character $\chi_{2013}(1325, \cdot)$
1-2013-2013.1328-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.1328	$0$	✓	✓	$-0.285$	$0$	$1.90360$	Character $\chi_{2013}(1328, \cdot)$
1-2013-2013.1334-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.1334	$0$	✓	✓	$0.275$	$0$	$0.278489$	Character $\chi_{2013}(1334, \cdot)$
1-2013-2013.1337-r0-0-0	$9.34$	$9.34$	$1$	$3 \cdot 11 \cdot 61$	2013.1337	$0$	✓	✓	$0.409$	$0$	$1.04848$	Character $\chi_{2013}(1337, \cdot)$

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Overview	Random
Universe	Knowledge

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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Results (1-50 of 531 matches)

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.