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 202 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-935-935.104-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.104	$0$	✓	✓	$0.460$	$0$	$1.43815$	Character $\chi_{935}(104, \cdot)$
1-935-935.108-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.108	$0$	✓	✓	$0.164$	$0$	$1.21205$	Character $\chi_{935}(108, \cdot)$
1-935-935.109-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.109	$0$	✓	✓	$0.213$	$0$	$1.09749$	Character $\chi_{935}(109, \cdot)$
1-935-935.113-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.113	$0$	✓	✓	$-0.0196$	$0$	$1.12298$	Character $\chi_{935}(113, \cdot)$
1-935-935.117-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.117	$0$	✓	✓	$0.314$	$0$	$1.18024$	Character $\chi_{935}(117, \cdot)$
1-935-935.118-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.118	$0$	✓	✓	$0.422$	$0$	$2.15651$	Character $\chi_{935}(118, \cdot)$
1-935-935.123-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.123	$0$	✓	✓	$0.363$	$0$	$1.25466$	Character $\chi_{935}(123, \cdot)$
1-935-935.127-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.127	$0$	✓	✓	$-0.246$	$0$	$0.796041$	Character $\chi_{935}(127, \cdot)$
1-935-935.128-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.128	$0$	✓	✓	$0.283$	$0$	$1.41756$	Character $\chi_{935}(128, \cdot)$
1-935-935.129-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.129	$0$	✓	✓	$-0.464$	$0$	$1.57308$	Character $\chi_{935}(129, \cdot)$
1-935-935.13-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.13	$0$	✓	✓	$-0.347$	$0$	$1.52831$	Character $\chi_{935}(13, \cdot)$
1-935-935.138-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.138	$0$	✓	✓	$0.432$	$0$	$0.101699$	Character $\chi_{935}(138, \cdot)$
1-935-935.139-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.139	$0$	✓	✓	$0.393$	$0$	$2.03500$	Character $\chi_{935}(139, \cdot)$
1-935-935.147-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.147	$0$	✓	✓	$0.0641$	$0$	$1.01129$	Character $\chi_{935}(147, \cdot)$
1-935-935.148-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.148	$0$	✓	✓	$0.230$	$0$	$0.896831$	Character $\chi_{935}(148, \cdot)$
1-935-935.158-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.158	$0$	✓	✓	$0.151$	$0$	$0.657938$	Character $\chi_{935}(158, \cdot)$
1-935-935.162-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.162	$0$	✓	✓	$0.481$	$0$	$1.04652$	Character $\chi_{935}(162, \cdot)$
1-935-935.163-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.163	$0$	✓	✓	$0.0934$	$0$	$1.33189$	Character $\chi_{935}(163, \cdot)$
1-935-935.164-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.164	$0$	✓	✓	$0.0222$	$0$	$1.05199$	Character $\chi_{935}(164, \cdot)$
1-935-935.169-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.169	$0$	✓	✓	$0.203$	$0$	$1.07765$	Character $\chi_{935}(169, \cdot)$
1-935-935.172-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.172	$0$	✓	✓	$0.194$	$0$	$0.755467$	Character $\chi_{935}(172, \cdot)$
1-935-935.174-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.174	$0$	✓	✓	$0.0127$	$0$	$1.29213$	Character $\chi_{935}(174, \cdot)$
1-935-935.178-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.178	$0$	✓	✓	$-0.229$	$0$	$0.578945$	Character $\chi_{935}(178, \cdot)$
1-935-935.179-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.179	$0$	✓	✓	$0.178$	$0$	$1.58624$	Character $\chi_{935}(179, \cdot)$
1-935-935.183-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.183	$0$	✓	✓	$0.0453$	$0$	$1.44419$	Character $\chi_{935}(183, \cdot)$
1-935-935.184-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.184	$0$	✓	✓	$-0.261$	$0$	$0.691932$	Character $\chi_{935}(184, \cdot)$
1-935-935.192-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.192	$0$	✓	✓	$0.467$	$0$	$1.90947$	Character $\chi_{935}(192, \cdot)$
1-935-935.194-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.194	$0$	✓	✓	$0.452$	$0$	$0.701695$	Character $\chi_{935}(194, \cdot)$
1-935-935.2-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.2	$0$	✓	✓	$-0.197$	$0$	$0.410876$	Character $\chi_{935}(2, \cdot)$
1-935-935.207-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.207	$0$	✓	✓	$0.150$	$0$	$1.28603$	Character $\chi_{935}(207, \cdot)$
1-935-935.208-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.208	$0$	✓	✓	$-0.482$	$0$	$0.410360$	Character $\chi_{935}(208, \cdot)$
1-935-935.217-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.217	$0$	✓	✓	$0.243$	$0$	$1.35638$	Character $\chi_{935}(217, \cdot)$
1-935-935.218-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.218	$0$	✓	✓	$0.296$	$0$	$1.09105$	Character $\chi_{935}(218, \cdot)$
1-935-935.229-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.229	$0$	✓	✓	$0.419$	$0$	$0.465831$	Character $\chi_{935}(229, \cdot)$
1-935-935.234-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.234	$0$	✓	✓	$-0.0592$	$0$	$1.13945$	Character $\chi_{935}(234, \cdot)$
1-935-935.237-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.237	$0$	✓	✓	$0.491$	$0$	$1.40656$	Character $\chi_{935}(237, \cdot)$
1-935-935.24-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.24	$0$	✓	✓	$0.0601$	$0$	$0.852746$	Character $\chi_{935}(24, \cdot)$
1-935-935.244-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.244	$0$	✓	✓	$-0.308$	$0$	$0.246046$	Character $\chi_{935}(244, \cdot)$
1-935-935.249-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.249	$0$	✓	✓	$0.261$	$0$	$0.981984$	Character $\chi_{935}(249, \cdot)$
1-935-935.258-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.258	$0$	✓	✓	$0.159$	$0$	$1.29310$	Character $\chi_{935}(258, \cdot)$
1-935-935.262-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.262	$0$	✓	✓	$0.209$	$0$	$1.05957$	Character $\chi_{935}(262, \cdot)$
1-935-935.263-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.263	$0$	✓	✓	$-0.0760$	$0$	$1.42956$	Character $\chi_{935}(263, \cdot)$
1-935-935.267-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.267	$0$	✓	✓	$-0.139$	$0$	$0.825179$	Character $\chi_{935}(267, \cdot)$
1-935-935.27-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.27	$0$	✓	✓	$0.455$	$0$	$1.44388$	Character $\chi_{935}(27, \cdot)$
1-935-935.278-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.278	$0$	✓	✓	$-0.196$	$0$	$0.795332$	Character $\chi_{935}(278, \cdot)$
1-935-935.288-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.288	$0$	✓	✓	$-0.491$	$0$	$0.496555$	Character $\chi_{935}(288, \cdot)$
1-935-935.29-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.29	$0$	✓	✓	$0.464$	$0$	$0.116681$	Character $\chi_{935}(29, \cdot)$
1-935-935.293-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.293	$0$	✓	✓	$-0.243$	$0$	$1.05984$	Character $\chi_{935}(293, \cdot)$
1-935-935.294-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.294	$0$	✓	✓	$-0.452$	$0$	$1.73314$	Character $\chi_{935}(294, \cdot)$
1-935-935.299-r0-0-0	$4.34$	$4.34$	$1$	$5 \cdot 11 \cdot 17$	935.299	$0$	✓	✓	$-0.379$	$0$	$1.41060$	Character $\chi_{935}(299, \cdot)$

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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.