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 81 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-435-435.104-r0-0-0	$2.02$	$2.02$	$1$	$3 \cdot 5 \cdot 29$	435.104	$0$	✓	✓	$-0.280$	$0$	$0.736374$	Character $\chi_{435}(104, \cdot)$
1-435-435.107-r0-0-0	$2.02$	$2.02$	$1$	$3 \cdot 5 \cdot 29$	435.107	$0$	✓	✓	$-0.105$	$0$	$0.880524$	Character $\chi_{435}(107, \cdot)$
1-435-435.119-r0-0-0	$2.02$	$2.02$	$1$	$3 \cdot 5 \cdot 29$	435.119	$0$	✓	✓	$-0.0555$	$0$	$0.578932$	Character $\chi_{435}(119, \cdot)$
1-435-435.122-r0-0-0	$2.02$	$2.02$	$1$	$3 \cdot 5 \cdot 29$	435.122	$0$	✓	✓	$-0.184$	$0$	$1.12638$	Character $\chi_{435}(122, \cdot)$
1-435-435.134-r0-0-0	$2.02$	$2.02$	$1$	$3 \cdot 5 \cdot 29$	435.134	$0$	✓	✓	$0.491$	$0$	$1.74443$	Character $\chi_{435}(134, \cdot)$
1-435-435.14-r0-0-0	$2.02$	$2.02$	$1$	$3 \cdot 5 \cdot 29$	435.14	$0$	✓	✓	$0.0775$	$0$	$1.18627$	Character $\chi_{435}(14, \cdot)$
1-435-435.152-r0-0-0	$2.02$	$2.02$	$1$	$3 \cdot 5 \cdot 29$	435.152	$0$	✓	✓	$-0.376$	$0$	$2.25240$	Character $\chi_{435}(152, \cdot)$
1-435-435.158-r0-0-0	$2.02$	$2.02$	$1$	$3 \cdot 5 \cdot 29$	435.158	$0$	✓	✓	$-0.446$	$0$	$0.504340$	Character $\chi_{435}(158, \cdot)$
1-435-435.164-r0-0-0	$2.02$	$2.02$	$1$	$3 \cdot 5 \cdot 29$	435.164	$0$	✓	✓	$-0.306$	$0$	$0.00937534$	Character $\chi_{435}(164, \cdot)$
1-435-435.167-r0-0-0	$2.02$	$2.02$	$1$	$3 \cdot 5 \cdot 29$	435.167	$0$	✓	✓	$-0.247$	$0$	$0.641584$	Character $\chi_{435}(167, \cdot)$
1-435-435.173-r0-0-0	$2.02$	$2.02$	$1$	$3 \cdot 5 \cdot 29$	435.173	$0$	✓	✓	$-0.338$	$0$	$0.803181$	Character $\chi_{435}(173, \cdot)$
1-435-435.197-r0-0-0	$2.02$	$2.02$	$1$	$3 \cdot 5 \cdot 29$	435.197	$0$	✓	✓	$-0.282$	$0$	$0.434463$	Character $\chi_{435}(197, \cdot)$
1-435-435.212-r0-0-0	$2.02$	$2.02$	$1$	$3 \cdot 5 \cdot 29$	435.212	$0$	✓	✓	$0.446$	$0$	$2.07249$	Character $\chi_{435}(212, \cdot)$
1-435-435.224-r0-0-0	$2.02$	$2.02$	$1$	$3 \cdot 5 \cdot 29$	435.224	$0$	✓	✓	$-0.491$	$0$	$0.294853$	Character $\chi_{435}(224, \cdot)$
1-435-435.227-r0-0-0	$2.02$	$2.02$	$1$	$3 \cdot 5 \cdot 29$	435.227	$0$	✓	✓	$-0.0408$	$0$	$1.13199$	Character $\chi_{435}(227, \cdot)$
1-435-435.23-r0-0-0	$2.02$	$2.02$	$1$	$3 \cdot 5 \cdot 29$	435.23	$0$	✓	✓	$0.0408$	$0$	$1.61300$	Character $\chi_{435}(23, \cdot)$
1-435-435.248-r0-0-0	$2.02$	$2.02$	$1$	$3 \cdot 5 \cdot 29$	435.248	$0$	✓	✓	$0.105$	$0$	$0.925431$	Character $\chi_{435}(248, \cdot)$
1-435-435.257-r0-0-0	$2.02$	$2.02$	$1$	$3 \cdot 5 \cdot 29$	435.257	$0$	✓	✓	$0.0530$	$0$	$0.864113$	Character $\chi_{435}(257, \cdot)$
1-435-435.269-r0-0-0	$2.02$	$2.02$	$1$	$3 \cdot 5 \cdot 29$	435.269	$0$	✓	✓	$0.255$	$0$	$1.63052$	Character $\chi_{435}(269, \cdot)$
1-435-435.323-r0-0-0	$2.02$	$2.02$	$1$	$3 \cdot 5 \cdot 29$	435.323	$0$	✓	✓	$0.247$	$0$	$1.04206$	Character $\chi_{435}(323, \cdot)$
1-435-435.329-r0-0-0	$2.02$	$2.02$	$1$	$3 \cdot 5 \cdot 29$	435.329	$0$	✓	✓	$0.0555$	$0$	$1.55333$	Character $\chi_{435}(329, \cdot)$
1-435-435.332-r0-0-0	$2.02$	$2.02$	$1$	$3 \cdot 5 \cdot 29$	435.332	$0$	✓	✓	$0.229$	$0$	$1.28197$	Character $\chi_{435}(332, \cdot)$
1-435-435.347-r0-0-0	$2.02$	$2.02$	$1$	$3 \cdot 5 \cdot 29$	435.347	$0$	✓	✓	$0.338$	$0$	$1.35138$	Character $\chi_{435}(347, \cdot)$
1-435-435.353-r0-0-0	$2.02$	$2.02$	$1$	$3 \cdot 5 \cdot 29$	435.353	$0$	✓	✓	$0.184$	$0$	$1.93231$	Character $\chi_{435}(353, \cdot)$
1-435-435.359-r0-0-0	$2.02$	$2.02$	$1$	$3 \cdot 5 \cdot 29$	435.359	$0$	✓	✓	$-0.255$	$0$	$0.969969$	Character $\chi_{435}(359, \cdot)$
1-435-435.368-r0-0-0	$2.02$	$2.02$	$1$	$3 \cdot 5 \cdot 29$	435.368	$0$	✓	✓	$0.218$	$0$	$1.60537$	Character $\chi_{435}(368, \cdot)$
1-435-435.374-r0-0-0	$2.02$	$2.02$	$1$	$3 \cdot 5 \cdot 29$	435.374	$0$	✓	✓	$0.306$	$0$	$1.51335$	Character $\chi_{435}(374, \cdot)$
1-435-435.38-r0-0-0	$2.02$	$2.02$	$1$	$3 \cdot 5 \cdot 29$	435.38	$0$	✓	✓	$-0.229$	$0$	$0.702800$	Character $\chi_{435}(38, \cdot)$
1-435-435.383-r0-0-0	$2.02$	$2.02$	$1$	$3 \cdot 5 \cdot 29$	435.383	$0$	✓	✓	$0.139$	$0$	$1.12542$	Character $\chi_{435}(383, \cdot)$
1-435-435.389-r0-0-0	$2.02$	$2.02$	$1$	$3 \cdot 5 \cdot 29$	435.389	$0$	✓	✓	$0.280$	$0$	$1.11307$	Character $\chi_{435}(389, \cdot)$
1-435-435.404-r0-0-0	$2.02$	$2.02$	$1$	$3 \cdot 5 \cdot 29$	435.404	$0$	✓	✓	$-0.0775$	$0$	$1.03728$	Character $\chi_{435}(404, \cdot)$
1-435-435.413-r0-0-0	$2.02$	$2.02$	$1$	$3 \cdot 5 \cdot 29$	435.413	$0$	✓	✓	$-0.0530$	$0$	$1.29717$	Character $\chi_{435}(413, \cdot)$
1-435-435.422-r0-0-0	$2.02$	$2.02$	$1$	$3 \cdot 5 \cdot 29$	435.422	$0$	✓	✓	$-0.218$	$0$	$1.20498$	Character $\chi_{435}(422, \cdot)$
1-435-435.428-r0-0-0	$2.02$	$2.02$	$1$	$3 \cdot 5 \cdot 29$	435.428	$0$	✓	✓	$0.0758$	$0$	$0.942245$	Character $\chi_{435}(428, \cdot)$
1-435-435.44-r0-0-0	$2.02$	$2.02$	$1$	$3 \cdot 5 \cdot 29$	435.44	$0$	✓	✓	$-0.0921$	$0$	$1.34123$	Character $\chi_{435}(44, \cdot)$
1-435-435.53-r0-0-0	$2.02$	$2.02$	$1$	$3 \cdot 5 \cdot 29$	435.53	$0$	✓	✓	$0.282$	$0$	$1.54014$	Character $\chi_{435}(53, \cdot)$
1-435-435.62-r0-0-0	$2.02$	$2.02$	$1$	$3 \cdot 5 \cdot 29$	435.62	$0$	✓	✓	$-0.0758$	$0$	$1.44448$	Character $\chi_{435}(62, \cdot)$
1-435-435.83-r0-0-0	$2.02$	$2.02$	$1$	$3 \cdot 5 \cdot 29$	435.83	$0$	✓	✓	$0.376$	$0$	$0.260099$	Character $\chi_{435}(83, \cdot)$
1-435-435.89-r0-0-0	$2.02$	$2.02$	$1$	$3 \cdot 5 \cdot 29$	435.89	$0$	✓	✓	$0.0921$	$0$	$1.62176$	Character $\chi_{435}(89, \cdot)$
1-435-435.92-r0-0-0	$2.02$	$2.02$	$1$	$3 \cdot 5 \cdot 29$	435.92	$0$	✓	✓	$-0.139$	$0$	$0.796274$	Character $\chi_{435}(92, \cdot)$
1-435-435.113-r1-0-0	$46.7$	$46.7$	$1$	$3 \cdot 5 \cdot 29$	435.113	$1$	✓	✓	$0.468$	$0$	$0.246950$	Character $\chi_{435}(113, \cdot)$
1-435-435.128-r1-0-0	$46.7$	$46.7$	$1$	$3 \cdot 5 \cdot 29$	435.128	$1$	✓	✓	$0.442$	$0$	$0.182939$	Character $\chi_{435}(128, \cdot)$
1-435-435.137-r1-0-0	$46.7$	$46.7$	$1$	$3 \cdot 5 \cdot 29$	435.137	$1$	✓	✓	$0.346$	$0$	$0.770551$	Character $\chi_{435}(137, \cdot)$
1-435-435.143-r1-0-0	$46.7$	$46.7$	$1$	$3 \cdot 5 \cdot 29$	435.143	$1$	✓	✓	$0.0843$	$0$	$1.21605$	Character $\chi_{435}(143, \cdot)$
1-435-435.149-r1-0-0	$46.7$	$46.7$	$1$	$3 \cdot 5 \cdot 29$	435.149	$1$	✓	✓	$-0.413$	$0$	$2.10036$	Character $\chi_{435}(149, \cdot)$
1-435-435.17-r1-0-0	$46.7$	$46.7$	$1$	$3 \cdot 5 \cdot 29$	435.17	$1$	✓	✓	$-0.442$	$0$	$1.71098$	Character $\chi_{435}(17, \cdot)$
1-435-435.179-r1-0-0	$46.7$	$46.7$	$1$	$3 \cdot 5 \cdot 29$	435.179	$1$	✓	✓	$-0.477$	$0$	$0.429951$	Character $\chi_{435}(179, \cdot)$
1-435-435.182-r1-0-0	$46.7$	$46.7$	$1$	$3 \cdot 5 \cdot 29$	435.182	$1$	✓	✓	$0.0931$	$0$	$1.11945$	Character $\chi_{435}(182, \cdot)$
1-435-435.188-r1-0-0	$46.7$	$46.7$	$1$	$3 \cdot 5 \cdot 29$	435.188	$1$	✓	✓	$0.239$	$0$	$1.24992$	Character $\chi_{435}(188, \cdot)$
1-435-435.194-r1-0-0	$46.7$	$46.7$	$1$	$3 \cdot 5 \cdot 29$	435.194	$1$	✓	✓	$-0.443$	$0$	$0.694896$	Character $\chi_{435}(194, \cdot)$

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Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$ over number fields
Genus 2 curves
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

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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.