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 51 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-95-95.12-r0-0-0	$0.441$	$0.441$	$1$	$5 \cdot 19$	95.12	$0$	✓	✓	$0.155$	$0$	$2.12168$	Character $\chi_{95}(12, \cdot)$
1-95-95.13-r0-0-0	$0.441$	$0.441$	$1$	$5 \cdot 19$	95.13	$0$	✓	✓	$-0.0326$	$0$	$2.25350$	Character $\chi_{95}(13, \cdot)$
1-95-95.18-r0-0-0	$0.441$	$0.441$	$1$	$5 \cdot 19$	95.18	$0$	✓	✓	$-0.0881$	$0$	$1.00956$	Character $\chi_{95}(18, \cdot)$
1-95-95.2-r0-0-0	$0.441$	$0.441$	$1$	$5 \cdot 19$	95.2	$0$	✓	✓	$-0.0544$	$0$	$0.649190$	Character $\chi_{95}(2, \cdot)$
1-95-95.22-r0-0-0	$0.441$	$0.441$	$1$	$5 \cdot 19$	95.22	$0$	✓	✓	$0.0326$	$0$	$2.44251$	Character $\chi_{95}(22, \cdot)$
1-95-95.24-r0-0-0	$0.441$	$0.441$	$1$	$5 \cdot 19$	95.24	$0$	✓	✓	$0.0895$	$0$	$1.59318$	Character $\chi_{95}(24, \cdot)$
1-95-95.27-r0-0-0	$0.441$	$0.441$	$1$	$5 \cdot 19$	95.27	$0$	✓	✓	$0.0203$	$0$	$1.58348$	Character $\chi_{95}(27, \cdot)$
1-95-95.3-r0-0-0	$0.441$	$0.441$	$1$	$5 \cdot 19$	95.3	$0$	✓	✓	$-0.143$	$0$	$1.02389$	Character $\chi_{95}(3, \cdot)$
1-95-95.32-r0-0-0	$0.441$	$0.441$	$1$	$5 \cdot 19$	95.32	$0$	✓	✓	$0.143$	$0$	$1.52739$	Character $\chi_{95}(32, \cdot)$
1-95-95.33-r0-0-0	$0.441$	$0.441$	$1$	$5 \cdot 19$	95.33	$0$	✓	✓	$0.375$	$0$	$2.93874$	Character $\chi_{95}(33, \cdot)$
1-95-95.37-r0-0-0	$0.441$	$0.441$	$1$	$5 \cdot 19$	95.37	$0$	✓	✓	$0.0881$	$0$	$2.09130$	Character $\chi_{95}(37, \cdot)$
1-95-95.4-r0-0-0	$0.441$	$0.441$	$1$	$5 \cdot 19$	95.4	$0$	✓	✓	$-0.0895$	$0$	$1.78191$	Character $\chi_{95}(4, \cdot)$
1-95-95.44-r0-0-0	$0.441$	$0.441$	$1$	$5 \cdot 19$	95.44	$0$	✓	✓	$0.330$	$0$	$1.87740$	Character $\chi_{95}(44, \cdot)$
1-95-95.48-r0-0-0	$0.441$	$0.441$	$1$	$5 \cdot 19$	95.48	$0$	✓	✓	$0.0544$	$0$	$1.57610$	Character $\chi_{95}(48, \cdot)$
1-95-95.49-r0-0-0	$0.441$	$0.441$	$1$	$5 \cdot 19$	95.49	$0$	✓	✓	$0.367$	$0$	$3.13284$	Character $\chi_{95}(49, \cdot)$
1-95-95.52-r0-0-0	$0.441$	$0.441$	$1$	$5 \cdot 19$	95.52	$0$	✓	✓	$-0.448$	$0$	$0.745110$	Character $\chi_{95}(52, \cdot)$
1-95-95.53-r0-0-0	$0.441$	$0.441$	$1$	$5 \cdot 19$	95.53	$0$	✓	✓	$0.448$	$0$	$2.49583$	Character $\chi_{95}(53, \cdot)$
1-95-95.54-r0-0-0	$0.441$	$0.441$	$1$	$5 \cdot 19$	95.54	$0$	✓	✓	$-0.330$	$0$	$0.721779$	Character $\chi_{95}(54, \cdot)$
1-95-95.64-r0-0-0	$0.441$	$0.441$	$1$	$5 \cdot 19$	95.64	$0$	✓	✓	$-0.367$	$0$	$1.29692$	Character $\chi_{95}(64, \cdot)$
1-95-95.67-r0-0-0	$0.441$	$0.441$	$1$	$5 \cdot 19$	95.67	$0$	✓	✓	$0.230$	$0$	$2.41674$	Character $\chi_{95}(67, \cdot)$
1-95-95.72-r0-0-0	$0.441$	$0.441$	$1$	$5 \cdot 19$	95.72	$0$	✓	✓	$-0.375$	$0$	$1.24381$	Character $\chi_{95}(72, \cdot)$
1-95-95.74-r0-0-0	$0.441$	$0.441$	$1$	$5 \cdot 19$	95.74	$0$	✓	✓	$-0.0580$	$0$	$1.76632$	Character $\chi_{95}(74, \cdot)$
1-95-95.78-r0-0-0	$0.441$	$0.441$	$1$	$5 \cdot 19$	95.78	$0$	✓	✓	$-0.230$	$0$	$1.75612$	Character $\chi_{95}(78, \cdot)$
1-95-95.8-r0-0-0	$0.441$	$0.441$	$1$	$5 \cdot 19$	95.8	$0$	✓	✓	$-0.155$	$0$	$1.38076$	Character $\chi_{95}(8, \cdot)$
1-95-95.88-r0-0-0	$0.441$	$0.441$	$1$	$5 \cdot 19$	95.88	$0$	✓	✓	$-0.0203$	$0$	$1.64524$	Character $\chi_{95}(88, \cdot)$
1-95-95.9-r0-0-0	$0.441$	$0.441$	$1$	$5 \cdot 19$	95.9	$0$	✓	✓	$0.0580$	$0$	$2.30929$	Character $\chi_{95}(9, \cdot)$
1-95-95.14-r1-0-0	$10.2$	$10.2$	$1$	$5 \cdot 19$	95.14	$1$	✓	✓	$0.463$	$0$	$0.458715$	Character $\chi_{95}(14, \cdot)$
1-95-95.17-r1-0-0	$10.2$	$10.2$	$1$	$5 \cdot 19$	95.17	$1$	✓	✓	$-0.469$	$0$	$0.667694$	Character $\chi_{95}(17, \cdot)$
1-95-95.23-r1-0-0	$10.2$	$10.2$	$1$	$5 \cdot 19$	95.23	$1$	✓	✓	$0.322$	$0$	$0.237104$	Character $\chi_{95}(23, \cdot)$
1-95-95.28-r1-0-0	$10.2$	$10.2$	$1$	$5 \cdot 19$	95.28	$1$	✓	✓	$0.469$	$0$	$2.55597$	Character $\chi_{95}(28, \cdot)$
1-95-95.29-r1-0-0	$10.2$	$10.2$	$1$	$5 \cdot 19$	95.29	$1$	✓	✓	$0.142$	$0$	$1.42550$	Character $\chi_{95}(29, \cdot)$
1-95-95.34-r1-0-0	$10.2$	$10.2$	$1$	$5 \cdot 19$	95.34	$1$	✓	✓	$-0.463$	$0$	$2.52299$	Character $\chi_{95}(34, \cdot)$
1-95-95.42-r1-0-0	$10.2$	$10.2$	$1$	$5 \cdot 19$	95.42	$1$	✓	✓	$0.498$	$0$	$1.93502$	Character $\chi_{95}(42, \cdot)$
1-95-95.43-r1-0-0	$10.2$	$10.2$	$1$	$5 \cdot 19$	95.43	$1$	✓	✓	$0.498$	$0$	$0.524202$	Character $\chi_{95}(43, \cdot)$
1-95-95.47-r1-0-0	$10.2$	$10.2$	$1$	$5 \cdot 19$	95.47	$1$	✓	✓	$-0.353$	$0$	$0.612687$	Character $\chi_{95}(47, \cdot)$
1-95-95.59-r1-0-0	$10.2$	$10.2$	$1$	$5 \cdot 19$	95.59	$1$	✓	✓	$-0.142$	$0$	$0.658662$	Character $\chi_{95}(59, \cdot)$
1-95-95.62-r1-0-0	$10.2$	$10.2$	$1$	$5 \cdot 19$	95.62	$1$	✓	✓	$-0.322$	$0$	$3.26991$	Character $\chi_{95}(62, \cdot)$
1-95-95.63-r1-0-0	$10.2$	$10.2$	$1$	$5 \cdot 19$	95.63	$1$	✓	✓	$-0.257$	$0$	$0.155183$	Character $\chi_{95}(63, \cdot)$
1-95-95.68-r1-0-0	$10.2$	$10.2$	$1$	$5 \cdot 19$	95.68	$1$	✓	✓	$-0.220$	$0$	$0.731387$	Character $\chi_{95}(68, \cdot)$
1-95-95.69-r1-0-0	$10.2$	$10.2$	$1$	$5 \cdot 19$	95.69	$1$	✓	✓	$0.0677$	$0$	$0.558058$	Character $\chi_{95}(69, \cdot)$
1-95-95.7-r1-0-0	$10.2$	$10.2$	$1$	$5 \cdot 19$	95.7	$1$	✓	✓	$0.220$	$0$	$1.87618$	Character $\chi_{95}(7, \cdot)$
1-95-95.73-r1-0-0	$10.2$	$10.2$	$1$	$5 \cdot 19$	95.73	$1$	✓	✓	$0.0809$	$0$	$2.05152$	Character $\chi_{95}(73, \cdot)$
1-95-95.79-r1-0-0	$10.2$	$10.2$	$1$	$5 \cdot 19$	95.79	$1$	✓	✓	$-0.0554$	$0$	$0.911379$	Character $\chi_{95}(79, \cdot)$
1-95-95.82-r1-0-0	$10.2$	$10.2$	$1$	$5 \cdot 19$	95.82	$1$	✓	✓	$-0.0809$	$0$	$1.59410$	Character $\chi_{95}(82, \cdot)$
1-95-95.83-r1-0-0	$10.2$	$10.2$	$1$	$5 \cdot 19$	95.83	$1$	✓	✓	$0.0446$	$0$	$1.22867$	Character $\chi_{95}(83, \cdot)$
1-95-95.84-r1-0-0	$10.2$	$10.2$	$1$	$5 \cdot 19$	95.84	$1$	✓	✓	$-0.0677$	$0$	$1.06095$	Character $\chi_{95}(84, \cdot)$
1-95-95.87-r1-0-0	$10.2$	$10.2$	$1$	$5 \cdot 19$	95.87	$1$	✓	✓	$-0.0446$	$0$	$1.28284$	Character $\chi_{95}(87, \cdot)$
1-95-95.89-r1-0-0	$10.2$	$10.2$	$1$	$5 \cdot 19$	95.89	$1$	✓	✓	$0.0554$	$0$	$1.83359$	Character $\chi_{95}(89, \cdot)$
1-95-95.92-r1-0-0	$10.2$	$10.2$	$1$	$5 \cdot 19$	95.92	$1$	✓	✓	$0.257$	$0$	$1.16225$	Character $\chi_{95}(92, \cdot)$
1-95-95.93-r1-0-0	$10.2$	$10.2$	$1$	$5 \cdot 19$	95.93	$1$	✓	✓	$0.353$	$0$	$1.25516$	Character $\chi_{95}(93, \cdot)$

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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.