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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 423 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\mathbb{Q}$	self-dual	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-1027-1027.1003-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.1003	$1$	✓	✓			$-0.0198$	$0$	$1.19847$	Character $\chi_{1027}(1003, \cdot)$
1-1027-1027.1004-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.1004	$1$	✓	✓			$0.177$	$0$	$1.05237$	Character $\chi_{1027}(1004, \cdot)$
1-1027-1027.1005-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.1005	$1$	✓	✓			$0.105$	$0$	$1.29483$	Character $\chi_{1027}(1005, \cdot)$
1-1027-1027.1011-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.1011	$1$	✓	✓			$0.217$	$0$	$1.01458$	Character $\chi_{1027}(1011, \cdot)$
1-1027-1027.1012-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.1012	$1$	✓	✓			$0.166$	$0$	$0.140446$	Character $\chi_{1027}(1012, \cdot)$
1-1027-1027.1017-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.1017	$1$	✓	✓			$-0.0756$	$0$	$0.837981$	Character $\chi_{1027}(1017, \cdot)$
1-1027-1027.1018-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.1018	$1$	✓	✓			$-0.137$	$0$	$0.0351908$	Character $\chi_{1027}(1018, \cdot)$
1-1027-1027.102-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.102	$1$	✓	✓			$0.438$	$0$	$0.453862$	Character $\chi_{1027}(102, \cdot)$
1-1027-1027.1020-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.1020	$1$	✓	✓			$-0.0860$	$0$	$0.703349$	Character $\chi_{1027}(1020, \cdot)$
1-1027-1027.1021-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.1021	$1$	✓	✓			$0.140$	$0$	$0.368303$	Character $\chi_{1027}(1021, \cdot)$
1-1027-1027.1023-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.1023	$1$	✓	✓			$-0.0710$	$0$	$2.41220$	Character $\chi_{1027}(1023, \cdot)$
1-1027-1027.1026-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.1026	$1$	✓	✓	✓	✓	$0$	$0$	$0.346697$	Character $\chi_{1027}(1026, \cdot)$
1-1027-1027.103-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.103	$1$	✓	✓			$0.0314$	$0$	$0.324645$	Character $\chi_{1027}(103, \cdot)$
1-1027-1027.107-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.107	$1$	✓	✓			$0.295$	$0$	$0.813995$	Character $\chi_{1027}(107, \cdot)$
1-1027-1027.108-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.108	$1$	✓	✓			$-0.486$	$0$	$0.160242$	Character $\chi_{1027}(108, \cdot)$
1-1027-1027.11-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.11	$1$	✓	✓			$-0.128$	$0$	$2.47040$	Character $\chi_{1027}(11, \cdot)$
1-1027-1027.110-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.110	$1$	✓	✓			$-0.216$	$0$	$0.110758$	Character $\chi_{1027}(110, \cdot)$
1-1027-1027.111-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.111	$1$	✓	✓			$-0.324$	$0$	$0.783182$	Character $\chi_{1027}(111, \cdot)$
1-1027-1027.113-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.113	$1$	✓	✓			$-0.199$	$0$	$0.908320$	Character $\chi_{1027}(113, \cdot)$
1-1027-1027.114-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.114	$1$	✓	✓			$0.137$	$0$	$1.17392$	Character $\chi_{1027}(114, \cdot)$
1-1027-1027.115-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.115	$1$	✓	✓			$-0.358$	$0$	$1.51884$	Character $\chi_{1027}(115, \cdot)$
1-1027-1027.116-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.116	$1$	✓	✓			$0.400$	$0$	$0.815701$	Character $\chi_{1027}(116, \cdot)$
1-1027-1027.119-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.119	$1$	✓	✓			$0.143$	$0$	$0.889771$	Character $\chi_{1027}(119, \cdot)$
1-1027-1027.12-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.12	$1$	✓	✓			$0.178$	$0$	$1.16032$	Character $\chi_{1027}(12, \cdot)$
1-1027-1027.120-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.120	$1$	✓	✓			$-0.478$	$0$	$0.592691$	Character $\chi_{1027}(120, \cdot)$
1-1027-1027.123-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.123	$1$	✓	✓			$-0.292$	$0$	$1.69569$	Character $\chi_{1027}(123, \cdot)$
1-1027-1027.124-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.124	$1$	✓	✓			$-0.332$	$0$	$1.15238$	Character $\chi_{1027}(124, \cdot)$
1-1027-1027.125-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.125	$1$	✓	✓			$0.385$	$0$	$1.29949$	Character $\chi_{1027}(125, \cdot)$
1-1027-1027.126-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.126	$1$	✓	✓			$0.390$	$0$	$1.18301$	Character $\chi_{1027}(126, \cdot)$
1-1027-1027.127-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.127	$1$	✓	✓			$-0.171$	$0$	$0.752322$	Character $\chi_{1027}(127, \cdot)$
1-1027-1027.128-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.128	$1$	✓	✓			$-0.147$	$0$	$0.393666$	Character $\chi_{1027}(128, \cdot)$
1-1027-1027.133-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.133	$1$	✓	✓			$0.388$	$0$	$0.734199$	Character $\chi_{1027}(133, \cdot)$
1-1027-1027.139-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.139	$1$	✓	✓			$-0.388$	$0$	$0.0429131$	Character $\chi_{1027}(139, \cdot)$
1-1027-1027.140-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.140	$1$	✓	✓			$-0.105$	$0$	$0.425194$	Character $\chi_{1027}(140, \cdot)$
1-1027-1027.141-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.141	$1$	✓	✓			$0.336$	$0$	$1.48593$	Character $\chi_{1027}(141, \cdot)$
1-1027-1027.142-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.142	$1$	✓	✓			$0.302$	$0$	$0.859612$	Character $\chi_{1027}(142, \cdot)$
1-1027-1027.147-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.147	$1$	✓	✓			$-0.342$	$0$	$0.223275$	Character $\chi_{1027}(147, \cdot)$
1-1027-1027.151-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.151	$1$	✓	✓			$0.373$	$0$	$1.49791$	Character $\chi_{1027}(151, \cdot)$
1-1027-1027.153-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.153	$1$	✓	✓			$-0.387$	$0$	$0.682210$	Character $\chi_{1027}(153, \cdot)$
1-1027-1027.162-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.162	$1$	✓	✓			$-0.431$	$0$	$0.709217$	Character $\chi_{1027}(162, \cdot)$
1-1027-1027.163-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.163	$1$	✓	✓			$0.0535$	$0$	$0.258834$	Character $\chi_{1027}(163, \cdot)$
1-1027-1027.165-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.165	$1$	✓	✓			$-0.219$	$0$	$1.30629$	Character $\chi_{1027}(165, \cdot)$
1-1027-1027.167-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.167	$1$	✓	✓			$0.292$	$0$	$0.258392$	Character $\chi_{1027}(167, \cdot)$
1-1027-1027.17-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.17	$1$	✓	✓			$-0.346$	$0$	$1.62535$	Character $\chi_{1027}(17, \cdot)$
1-1027-1027.171-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.171	$1$	✓	✓			$-0.140$	$0$	$1.10463$	Character $\chi_{1027}(171, \cdot)$
1-1027-1027.172-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.172	$1$	✓	✓			$-0.359$	$0$	$1.38318$	Character $\chi_{1027}(172, \cdot)$
1-1027-1027.173-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.173	$1$	✓	✓			$-0.469$	$0$	$0.129708$	Character $\chi_{1027}(173, \cdot)$
1-1027-1027.174-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.174	$1$	✓	✓			$-0.419$	$0$	$1.33747$	Character $\chi_{1027}(174, \cdot)$
1-1027-1027.176-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.176	$1$	✓	✓			$-0.363$	$0$	$0.0337942$	Character $\chi_{1027}(176, \cdot)$
1-1027-1027.177-r1-0-0	$110.$	$110.$	$1$	$13 \cdot 79$	1027.177	$1$	✓	✓			$-0.0693$	$0$	$0.565922$	Character $\chi_{1027}(177, \cdot)$

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