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 101 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-103-103.100-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.100	$0$	✓	✓	$-0.379$	$0$	$0.785590$	Character $\chi_{103}(100, \cdot)$
1-103-103.13-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.13	$0$	✓	✓	$-0.0297$	$0$	$1.44731$	Character $\chi_{103}(13, \cdot)$
1-103-103.14-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.14	$0$	✓	✓	$-0.265$	$0$	$0.729797$	Character $\chi_{103}(14, \cdot)$
1-103-103.15-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.15	$0$	✓	✓	$-0.333$	$0$	$3.67106$	Character $\chi_{103}(15, \cdot)$
1-103-103.16-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.16	$0$	✓	✓	$-0.100$	$0$	$1.60384$	Character $\chi_{103}(16, \cdot)$
1-103-103.17-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.17	$0$	✓	✓	$-0.141$	$0$	$0.935776$	Character $\chi_{103}(17, \cdot)$
1-103-103.18-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.18	$0$	✓	✓	$-0.225$	$0$	$1.11132$	Character $\chi_{103}(18, \cdot)$
1-103-103.19-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.19	$0$	✓	✓	$-0.233$	$0$	$0.893935$	Character $\chi_{103}(19, \cdot)$
1-103-103.2-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.2	$0$	✓	✓	$-0.160$	$0$	$1.69686$	Character $\chi_{103}(2, \cdot)$
1-103-103.23-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.23	$0$	✓	✓	$0.361$	$0$	$2.25608$	Character $\chi_{103}(23, \cdot)$
1-103-103.25-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.25	$0$	✓	✓	$-0.284$	$0$	$1.88233$	Character $\chi_{103}(25, \cdot)$
1-103-103.26-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.26	$0$	✓	✓	$0.237$	$0$	$2.71196$	Character $\chi_{103}(26, \cdot)$
1-103-103.28-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.28	$0$	✓	✓	$-0.0806$	$0$	$1.55382$	Character $\chi_{103}(28, \cdot)$
1-103-103.29-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.29	$0$	✓	✓	$0.0389$	$0$	$2.16225$	Character $\chi_{103}(29, \cdot)$
1-103-103.30-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.30	$0$	✓	✓	$0.324$	$0$	$2.42330$	Character $\chi_{103}(30, \cdot)$
1-103-103.32-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.32	$0$	✓	✓	$-0.0389$	$0$	$2.29879$	Character $\chi_{103}(32, \cdot)$
1-103-103.33-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.33	$0$	✓	✓	$0.284$	$0$	$2.64014$	Character $\chi_{103}(33, \cdot)$
1-103-103.34-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.34	$0$	✓	✓	$0.379$	$0$	$2.42149$	Character $\chi_{103}(34, \cdot)$
1-103-103.36-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.36	$0$	✓	✓	$0.0674$	$0$	$1.24115$	Character $\chi_{103}(36, \cdot)$
1-103-103.38-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.38	$0$	✓	✓	$0.233$	$0$	$1.64468$	Character $\chi_{103}(38, \cdot)$
1-103-103.4-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.4	$0$	✓	✓	$-0.237$	$0$	$1.41937$	Character $\chi_{103}(4, \cdot)$
1-103-103.41-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.41	$0$	✓	✓	$0.0963$	$0$	$1.77493$	Character $\chi_{103}(41, \cdot)$
1-103-103.46-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.46	$0$	✓	✓	$-0.0464$	$0$	$1.09763$	Character $\chi_{103}(46, \cdot)$
1-103-103.49-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.49	$0$	✓	✓	$0.164$	$0$	$2.08803$	Character $\chi_{103}(49, \cdot)$
1-103-103.50-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.50	$0$	✓	✓	$0.448$	$0$	$0.485086$	Character $\chi_{103}(50, \cdot)$
1-103-103.52-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.52	$0$	✓	✓	$0.160$	$0$	$2.69413$	Character $\chi_{103}(52, \cdot)$
1-103-103.55-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.55	$0$	✓	✓	$0.333$	$0$	$0.344498$	Character $\chi_{103}(55, \cdot)$
1-103-103.56-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.56	$0$	✓	✓	$0.0464$	$0$	$2.15251$	Character $\chi_{103}(56, \cdot)$
1-103-103.58-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.58	$0$	✓	✓	$0.100$	$0$	$2.19690$	Character $\chi_{103}(58, \cdot)$
1-103-103.59-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.59	$0$	✓	✓	$0.111$	$0$	$1.19924$	Character $\chi_{103}(59, \cdot)$
1-103-103.60-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.60	$0$	✓	✓	$0.236$	$0$	$2.35405$	Character $\chi_{103}(60, \cdot)$
1-103-103.61-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.61	$0$	✓	✓	$0.359$	$0$	$2.26385$	Character $\chi_{103}(61, \cdot)$
1-103-103.63-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.63	$0$	✓	✓	$0.225$	$0$	$1.46887$	Character $\chi_{103}(63, \cdot)$
1-103-103.64-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.64	$0$	✓	✓	$-0.256$	$0$	$1.55657$	Character $\chi_{103}(64, \cdot)$
1-103-103.66-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.66	$0$	✓	✓	$0.256$	$0$	$2.94104$	Character $\chi_{103}(66, \cdot)$
1-103-103.68-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.68	$0$	✓	✓	$-0.448$	$0$	$3.17980$	Character $\chi_{103}(68, \cdot)$
1-103-103.7-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.7	$0$	✓	✓	$-0.111$	$0$	$1.47851$	Character $\chi_{103}(7, \cdot)$
1-103-103.72-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.72	$0$	✓	✓	$0.227$	$0$	$2.11863$	Character $\chi_{103}(72, \cdot)$
1-103-103.76-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.76	$0$	✓	✓	$-0.359$	$0$	$0.119376$	Character $\chi_{103}(76, \cdot)$
1-103-103.79-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.79	$0$	✓	✓	$-0.324$	$0$	$1.32898$	Character $\chi_{103}(79, \cdot)$
1-103-103.8-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.8	$0$	✓	✓	$0.0297$	$0$	$1.94334$	Character $\chi_{103}(8, \cdot)$
1-103-103.81-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.81	$0$	✓	✓	$0.265$	$0$	$1.57406$	Character $\chi_{103}(81, \cdot)$
1-103-103.82-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.82	$0$	✓	✓	$-0.164$	$0$	$1.45890$	Character $\chi_{103}(82, \cdot)$
1-103-103.83-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.83	$0$	✓	✓	$-0.0674$	$0$	$0.635155$	Character $\chi_{103}(83, \cdot)$
1-103-103.9-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.9	$0$	✓	✓	$-0.361$	$0$	$1.17567$	Character $\chi_{103}(9, \cdot)$
1-103-103.91-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.91	$0$	✓	✓	$-0.236$	$0$	$1.55642$	Character $\chi_{103}(91, \cdot)$
1-103-103.92-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.92	$0$	✓	✓	$0.0806$	$0$	$1.56464$	Character $\chi_{103}(92, \cdot)$
1-103-103.93-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.93	$0$	✓	✓	$-0.227$	$0$	$0.925669$	Character $\chi_{103}(93, \cdot)$
1-103-103.97-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.97	$0$	✓	✓	$0.141$	$0$	$2.46123$	Character $\chi_{103}(97, \cdot)$
1-103-103.98-r0-0-0	$0.478$	$0.478$	$1$	$103$	103.98	$0$	✓	✓	$-0.0963$	$0$	$1.20294$	Character $\chi_{103}(98, \cdot)$

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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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Results (1-50 of 101 matches)

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.