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

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Results (1-50 of 153 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-265-265.103-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.103	$0$	✓	✓	$0.265$	$0$	$1.49018$	Character $\chi_{265}(103, \cdot)$
1-265-265.108-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.108	$0$	✓	✓	$-0.245$	$0$	$1.07661$	Character $\chi_{265}(108, \cdot)$
1-265-265.118-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.118	$0$	✓	✓	$0.285$	$0$	$1.61736$	Character $\chi_{265}(118, \cdot)$
1-265-265.119-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.119	$0$	✓	✓	$-0.0302$	$0$	$1.33402$	Character $\chi_{265}(119, \cdot)$
1-265-265.12-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.12	$0$	✓	✓	$-0.0382$	$0$	$1.40424$	Character $\chi_{265}(12, \cdot)$
1-265-265.127-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.127	$0$	✓	✓	$-0.451$	$0$	$0.884371$	Character $\chi_{265}(127, \cdot)$
1-265-265.128-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.128	$0$	✓	✓	$0.473$	$0$	$0.466804$	Character $\chi_{265}(128, \cdot)$
1-265-265.132-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.132	$0$	✓	✓	$-0.269$	$0$	$1.35082$	Character $\chi_{265}(132, \cdot)$
1-265-265.133-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.133	$0$	✓	✓	$-0.422$	$0$	$0.779260$	Character $\chi_{265}(133, \cdot)$
1-265-265.134-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.134	$0$	✓	✓	$0.433$	$0$	$0.730921$	Character $\chi_{265}(134, \cdot)$
1-265-265.137-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.137	$0$	✓	✓	$-0.285$	$0$	$0.994793$	Character $\chi_{265}(137, \cdot)$
1-265-265.138-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.138	$0$	✓	✓	$-0.368$	$0$	$1.11392$	Character $\chi_{265}(138, \cdot)$
1-265-265.144-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.144	$0$	✓	✓	$0.0430$	$0$	$1.13234$	Character $\chi_{265}(144, \cdot)$
1-265-265.147-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.147	$0$	✓	✓	$-0.473$	$0$	$2.30951$	Character $\chi_{265}(147, \cdot)$
1-265-265.149-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.149	$0$	✓	✓	$-0.475$	$0$	$0.603947$	Character $\chi_{265}(149, \cdot)$
1-265-265.157-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.157	$0$	✓	✓	$-0.0545$	$0$	$1.19578$	Character $\chi_{265}(157, \cdot)$
1-265-265.162-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.162	$0$	✓	✓	$-0.260$	$0$	$0.461092$	Character $\chi_{265}(162, \cdot)$
1-265-265.167-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.167	$0$	✓	✓	$0.0605$	$0$	$1.12098$	Character $\chi_{265}(167, \cdot)$
1-265-265.169-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.169	$0$	✓	✓	$-0.337$	$0$	$2.35603$	Character $\chi_{265}(169, \cdot)$
1-265-265.173-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.173	$0$	✓	✓	$0.159$	$0$	$1.97788$	Character $\chi_{265}(173, \cdot)$
1-265-265.174-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.174	$0$	✓	✓	$0.465$	$0$	$0.235171$	Character $\chi_{265}(174, \cdot)$
1-265-265.177-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.177	$0$	✓	✓	$-0.0630$	$0$	$1.43465$	Character $\chi_{265}(177, \cdot)$
1-265-265.178-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.178	$0$	✓	✓	$0.164$	$0$	$1.00730$	Character $\chi_{265}(178, \cdot)$
1-265-265.18-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.18	$0$	✓	✓	$0.260$	$0$	$1.60270$	Character $\chi_{265}(18, \cdot)$
1-265-265.182-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.182	$0$	✓	✓	$-0.139$	$0$	$0.997817$	Character $\chi_{265}(182, \cdot)$
1-265-265.184-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.184	$0$	✓	✓	$0.127$	$0$	$0.905865$	Character $\chi_{265}(184, \cdot)$
1-265-265.192-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.192	$0$	✓	✓	$-0.382$	$0$	$0.235717$	Character $\chi_{265}(192, \cdot)$
1-265-265.193-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.193	$0$	✓	✓	$-0.239$	$0$	$1.37313$	Character $\chi_{265}(193, \cdot)$
1-265-265.198-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.198	$0$	✓	✓	$-0.437$	$0$	$0.504883$	Character $\chi_{265}(198, \cdot)$
1-265-265.199-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.199	$0$	✓	✓	$-0.229$	$0$	$0.902740$	Character $\chi_{265}(199, \cdot)$
1-265-265.2-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.2	$0$	✓	✓	$0.422$	$0$	$1.91887$	Character $\chi_{265}(2, \cdot)$
1-265-265.207-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.207	$0$	✓	✓	$0.128$	$0$	$1.49177$	Character $\chi_{265}(207, \cdot)$
1-265-265.217-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.217	$0$	✓	✓	$0.368$	$0$	$2.25242$	Character $\chi_{265}(217, \cdot)$
1-265-265.219-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.219	$0$	✓	✓	$-0.0430$	$0$	$1.57659$	Character $\chi_{265}(219, \cdot)$
1-265-265.22-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.22	$0$	✓	✓	$0.149$	$0$	$1.45530$	Character $\chi_{265}(22, \cdot)$
1-265-265.229-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.229	$0$	✓	✓	$-0.127$	$0$	$1.43794$	Character $\chi_{265}(229, \cdot)$
1-265-265.23-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.23	$0$	✓	✓	$0.184$	$0$	$1.81088$	Character $\chi_{265}(23, \cdot)$
1-265-265.232-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.232	$0$	✓	✓	$-0.384$	$0$	$0.0649830$	Character $\chi_{265}(232, \cdot)$
1-265-265.233-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.233	$0$	✓	✓	$-0.128$	$0$	$0.303117$	Character $\chi_{265}(233, \cdot)$
1-265-265.238-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.238	$0$	✓	✓	$0.0545$	$0$	$0.566723$	Character $\chi_{265}(238, \cdot)$
1-265-265.24-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.24	$0$	✓	✓	$-0.176$	$0$	$1.56985$	Character $\chi_{265}(24, \cdot)$
1-265-265.242-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.242	$0$	✓	✓	$-0.184$	$0$	$0.863072$	Character $\chi_{265}(242, \cdot)$
1-265-265.243-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.243	$0$	✓	✓	$0.0382$	$0$	$1.07139$	Character $\chi_{265}(243, \cdot)$
1-265-265.247-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.247	$0$	✓	✓	$-0.265$	$0$	$0.682482$	Character $\chi_{265}(247, \cdot)$
1-265-265.249-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.249	$0$	✓	✓	$0.475$	$0$	$2.51735$	Character $\chi_{265}(249, \cdot)$
1-265-265.253-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.253	$0$	✓	✓	$-0.149$	$0$	$1.36110$	Character $\chi_{265}(253, \cdot)$
1-265-265.254-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.254	$0$	✓	✓	$0.176$	$0$	$2.05344$	Character $\chi_{265}(254, \cdot)$
1-265-265.257-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.257	$0$	✓	✓	$0.0583$	$0$	$1.67836$	Character $\chi_{265}(257, \cdot)$
1-265-265.259-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.259	$0$	✓	✓	$0.0335$	$0$	$1.14898$	Character $\chi_{265}(259, \cdot)$
1-265-265.262-r0-0-0	$1.23$	$1.23$	$1$	$5 \cdot 53$	265.262	$0$	✓	✓	$-0.0580$	$0$	$1.40176$	Character $\chi_{265}(262, \cdot)$

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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.