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 100 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-968-968.101-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.101	$1$	✓	✓	$0.00289$	$0$	$0.226999$	Character $\chi_{968}(101, \cdot)$
1-968-968.109-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.109	$1$	✓	✓	$0.373$	$0$	$1.10542$	Character $\chi_{968}(109, \cdot)$
1-968-968.115-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.115	$1$	✓	✓	$0.247$	$0$	$0.682471$	Character $\chi_{968}(115, \cdot)$
1-968-968.117-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.117	$1$	✓	✓	$0.373$	$0$	$1.26199$	Character $\chi_{968}(117, \cdot)$
1-968-968.13-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.13	$1$	✓	✓	$0.373$	$0$	$0.763783$	Character $\chi_{968}(13, \cdot)$
1-968-968.147-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.147	$1$	✓	✓	$0.358$	$0$	$1.50870$	Character $\chi_{968}(147, \cdot)$
1-968-968.149-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.149	$1$	✓	✓	$-0.373$	$0$	$0.460918$	Character $\chi_{968}(149, \cdot)$
1-968-968.155-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.155	$1$	✓	✓	$0.371$	$0$	$1.46467$	Character $\chi_{968}(155, \cdot)$
1-968-968.163-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.163	$1$	✓	✓	$0.241$	$0$	$1.00759$	Character $\chi_{968}(163, \cdot)$
1-968-968.173-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.173	$1$	✓	✓	$0.434$	$0$	$0.252281$	Character $\chi_{968}(173, \cdot)$
1-968-968.179-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.179	$1$	✓	✓	$-0.0842$	$0$	$0.484127$	Character $\chi_{968}(179, \cdot)$
1-968-968.189-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.189	$1$	✓	✓	$-0.0342$	$0$	$0.426399$	Character $\chi_{968}(189, \cdot)$
1-968-968.197-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.197	$1$	✓	✓	$0.291$	$0$	$0.0345872$	Character $\chi_{968}(197, \cdot)$
1-968-968.203-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.203	$1$	✓	✓	$0.123$	$0$	$0.703534$	Character $\chi_{968}(203, \cdot)$
1-968-968.205-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.205	$1$	✓	✓	$-0.373$	$0$	$0.102782$	Character $\chi_{968}(205, \cdot)$
1-968-968.21-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.21	$1$	✓	✓	$0.365$	$0$	$0.962318$	Character $\chi_{968}(21, \cdot)$
1-968-968.235-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.235	$1$	✓	✓	$0.315$	$0$	$0.869050$	Character $\chi_{968}(235, \cdot)$
1-968-968.237-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.237	$1$	✓	✓	$0.0913$	$0$	$0.778620$	Character $\chi_{968}(237, \cdot)$
1-968-968.261-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.261	$1$	✓	✓	$0.0219$	$0$	$0.771473$	Character $\chi_{968}(261, \cdot)$
1-968-968.267-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.267	$1$	✓	✓	$0.0280$	$0$	$0.668344$	Character $\chi_{968}(267, \cdot)$
1-968-968.277-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.277	$1$	✓	✓	$0.234$	$0$	$0.958956$	Character $\chi_{968}(277, \cdot)$
1-968-968.285-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.285	$1$	✓	✓	$-0.291$	$0$	$1.31483$	Character $\chi_{968}(285, \cdot)$
1-968-968.29-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.29	$1$	✓	✓	$0.221$	$0$	$1.35927$	Character $\chi_{968}(29, \cdot)$
1-968-968.291-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.291	$1$	✓	✓	$-0.241$	$0$	$0.0644922$	Character $\chi_{968}(291, \cdot)$
1-968-968.293-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.293	$1$	✓	✓	$-0.0219$	$0$	$0.710558$	Character $\chi_{968}(293, \cdot)$
1-968-968.325-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.325	$1$	✓	✓	$-0.234$	$0$	$0.685350$	Character $\chi_{968}(325, \cdot)$
1-968-968.331-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.331	$1$	✓	✓	$-0.371$	$0$	$0.273985$	Character $\chi_{968}(331, \cdot)$
1-968-968.339-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.339	$1$	✓	✓	$0.158$	$0$	$1.05569$	Character $\chi_{968}(339, \cdot)$
1-968-968.349-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.349	$1$	✓	✓	$-0.108$	$0$	$1.11959$	Character $\chi_{968}(349, \cdot)$
1-968-968.355-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.355	$1$	✓	✓	$-0.441$	$0$	$0.0142430$	Character $\chi_{968}(355, \cdot)$
1-968-968.365-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.365	$1$	✓	✓	$-0.197$	$0$	$0.0292299$	Character $\chi_{968}(365, \cdot)$
1-968-968.373-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.373	$1$	✓	✓	$-0.373$	$0$	$0.273036$	Character $\chi_{968}(373, \cdot)$
1-968-968.379-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.379	$1$	✓	✓	$0.284$	$0$	$1.00627$	Character $\chi_{968}(379, \cdot)$
1-968-968.381-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.381	$1$	✓	✓	$0.202$	$0$	$0.929946$	Character $\chi_{968}(381, \cdot)$
1-968-968.411-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.411	$1$	✓	✓	$0.0842$	$0$	$0.578448$	Character $\chi_{968}(411, \cdot)$
1-968-968.413-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.413	$1$	✓	✓	$-0.178$	$0$	$0.450969$	Character $\chi_{968}(413, \cdot)$
1-968-968.419-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.419	$1$	✓	✓	$0.347$	$0$	$1.42342$	Character $\chi_{968}(419, \cdot)$
1-968-968.427-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.427	$1$	✓	✓	$0.171$	$0$	$0.972163$	Character $\chi_{968}(427, \cdot)$
1-968-968.437-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.437	$1$	✓	✓	$-0.202$	$0$	$0.654568$	Character $\chi_{968}(437, \cdot)$
1-968-968.443-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.443	$1$	✓	✓	$-0.147$	$0$	$0.376146$	Character $\chi_{968}(443, \cdot)$
1-968-968.453-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.453	$1$	✓	✓	$-0.373$	$0$	$1.26991$	Character $\chi_{968}(453, \cdot)$
1-968-968.461-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.461	$1$	✓	✓	$-0.365$	$0$	$0.291373$	Character $\chi_{968}(461, \cdot)$
1-968-968.467-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.467	$1$	✓	✓	$-0.171$	$0$	$0.101428$	Character $\chi_{968}(467, \cdot)$
1-968-968.469-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.469	$1$	✓	✓	$-0.308$	$0$	$0.214703$	Character $\chi_{968}(469, \cdot)$
1-968-968.499-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.499	$1$	✓	✓	$0.441$	$0$	$1.09341$	Character $\chi_{968}(499, \cdot)$
1-968-968.501-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.501	$1$	✓	✓	$-0.421$	$0$	$0.105918$	Character $\chi_{968}(501, \cdot)$
1-968-968.507-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.507	$1$	✓	✓	$-0.115$	$0$	$0.817302$	Character $\chi_{968}(507, \cdot)$
1-968-968.515-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.515	$1$	✓	✓	$-0.123$	$0$	$0.593603$	Character $\chi_{968}(515, \cdot)$
1-968-968.525-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.525	$1$	✓	✓	$-0.397$	$0$	$0.379167$	Character $\chi_{968}(525, \cdot)$
1-968-968.531-r1-0-0	$104.$	$104.$	$1$	$2^{3} \cdot 11^{2}$	968.531	$1$	✓	✓	$-0.452$	$0$	$0.125129$	Character $\chi_{968}(531, \cdot)$

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Hilbert	Bianchi

Elliptic curves over $\Q$ over number fields
Genus 2 curves
Higher genus families
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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.