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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 85 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\mathbb{Q}$	self-dual	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-133-133.10-r0-0-0	$0.617$	$0.617$	$1$	$7 \cdot 19$	133.10	$0$	✓	✓			$0.218$	$0$	$1.34128$	Character $\chi_{133}(10, \cdot)$
1-133-133.100-r0-0-0	$0.617$	$0.617$	$1$	$7 \cdot 19$	133.100	$0$	✓	✓			$-0.205$	$0$	$1.36806$	Character $\chi_{133}(100, \cdot)$
1-133-133.102-r0-0-0	$0.617$	$0.617$	$1$	$7 \cdot 19$	133.102	$0$	✓	✓			$-0.293$	$0$	$1.05812$	Character $\chi_{133}(102, \cdot)$
1-133-133.103-r0-0-0	$0.617$	$0.617$	$1$	$7 \cdot 19$	133.103	$0$	✓	✓			$-0.245$	$0$	$1.65315$	Character $\chi_{133}(103, \cdot)$
1-133-133.108-r0-0-0	$0.617$	$0.617$	$1$	$7 \cdot 19$	133.108	$0$	✓	✓			$-0.202$	$0$	$1.15762$	Character $\chi_{133}(108, \cdot)$
1-133-133.11-r0-0-0	$0.617$	$0.617$	$1$	$7 \cdot 19$	133.11	$0$	✓	✓			$0.107$	$0$	$2.11891$	Character $\chi_{133}(11, \cdot)$
1-133-133.110-r0-0-0	$0.617$	$0.617$	$1$	$7 \cdot 19$	133.110	$0$	✓	✓			$-0.0948$	$0$	$1.01866$	Character $\chi_{133}(110, \cdot)$
1-133-133.117-r0-0-0	$0.617$	$0.617$	$1$	$7 \cdot 19$	133.117	$0$	✓	✓			$0.202$	$0$	$1.41932$	Character $\chi_{133}(117, \cdot)$
1-133-133.12-r0-0-0	$0.617$	$0.617$	$1$	$7 \cdot 19$	133.12	$0$	✓	✓			$0.214$	$0$	$1.47055$	Character $\chi_{133}(12, \cdot)$
1-133-133.121-r0-0-0	$0.617$	$0.617$	$1$	$7 \cdot 19$	133.121	$0$	✓	✓			$-0.107$	$0$	$1.75529$	Character $\chi_{133}(121, \cdot)$
1-133-133.122-r0-0-0	$0.617$	$0.617$	$1$	$7 \cdot 19$	133.122	$0$	✓	✓			$-0.214$	$0$	$0.350945$	Character $\chi_{133}(122, \cdot)$
1-133-133.123-r0-0-0	$0.617$	$0.617$	$1$	$7 \cdot 19$	133.123	$0$	✓	✓			$0.0202$	$0$	$1.38714$	Character $\chi_{133}(123, \cdot)$
1-133-133.124-r0-0-0	$0.617$	$0.617$	$1$	$7 \cdot 19$	133.124	$0$	✓	✓			$0.177$	$0$	$2.12386$	Character $\chi_{133}(124, \cdot)$
1-133-133.129-r0-0-0	$0.617$	$0.617$	$1$	$7 \cdot 19$	133.129	$0$	✓	✓			$-0.0545$	$0$	$1.87963$	Character $\chi_{133}(129, \cdot)$
1-133-133.13-r0-0-0	$0.617$	$0.617$	$1$	$7 \cdot 19$	133.13	$0$	✓	✓			$0.277$	$0$	$1.98830$	Character $\chi_{133}(13, \cdot)$
1-133-133.130-r0-0-0	$0.617$	$0.617$	$1$	$7 \cdot 19$	133.130	$0$	✓	✓			$-0.146$	$0$	$1.07094$	Character $\chi_{133}(130, \cdot)$
1-133-133.132-r0-0-0	$0.617$	$0.617$	$1$	$7 \cdot 19$	133.132	$0$	✓	✓	✓	✓	$0$	$0$	$1.39047$	Character $\chi_{133}(132, \cdot)$
1-133-133.16-r0-0-0	$0.617$	$0.617$	$1$	$7 \cdot 19$	133.16	$0$	✓	✓			$0.0402$	$0$	$2.12905$	Character $\chi_{133}(16, \cdot)$
1-133-133.23-r0-0-0	$0.617$	$0.617$	$1$	$7 \cdot 19$	133.23	$0$	✓	✓			$0.392$	$0$	$0.453884$	Character $\chi_{133}(23, \cdot)$
1-133-133.25-r0-0-0	$0.617$	$0.617$	$1$	$7 \cdot 19$	133.25	$0$	✓	✓			$-0.0402$	$0$	$1.52367$	Character $\chi_{133}(25, \cdot)$
1-133-133.27-r0-0-0	$0.617$	$0.617$	$1$	$7 \cdot 19$	133.27	$0$	✓	✓			$0.265$	$0$	$2.03959$	Character $\chi_{133}(27, \cdot)$
1-133-133.3-r0-0-0	$0.617$	$0.617$	$1$	$7 \cdot 19$	133.3	$0$	✓	✓			$0.242$	$0$	$2.17140$	Character $\chi_{133}(3, \cdot)$
1-133-133.30-r0-0-0	$0.617$	$0.617$	$1$	$7 \cdot 19$	133.30	$0$	✓	✓			$0.293$	$0$	$2.00333$	Character $\chi_{133}(30, \cdot)$
1-133-133.31-r0-0-0	$0.617$	$0.617$	$1$	$7 \cdot 19$	133.31	$0$	✓	✓			$0.245$	$0$	$2.58585$	Character $\chi_{133}(31, \cdot)$
1-133-133.33-r0-0-0	$0.617$	$0.617$	$1$	$7 \cdot 19$	133.33	$0$	✓	✓			$0.0545$	$0$	$2.17124$	Character $\chi_{133}(33, \cdot)$
1-133-133.34-r0-0-0	$0.617$	$0.617$	$1$	$7 \cdot 19$	133.34	$0$	✓	✓			$0.425$	$0$	$2.14194$	Character $\chi_{133}(34, \cdot)$
1-133-133.4-r0-0-0	$0.617$	$0.617$	$1$	$7 \cdot 19$	133.4	$0$	✓	✓			$0.205$	$0$	$1.94199$	Character $\chi_{133}(4, \cdot)$
1-133-133.40-r0-0-0	$0.617$	$0.617$	$1$	$7 \cdot 19$	133.40	$0$	✓	✓			$-0.218$	$0$	$1.17236$	Character $\chi_{133}(40, \cdot)$
1-133-133.41-r0-0-0	$0.617$	$0.617$	$1$	$7 \cdot 19$	133.41	$0$	✓	✓			$-0.277$	$0$	$1.43227$	Character $\chi_{133}(41, \cdot)$
1-133-133.44-r0-0-0	$0.617$	$0.617$	$1$	$7 \cdot 19$	133.44	$0$	✓	✓			$0.146$	$0$	$1.27540$	Character $\chi_{133}(44, \cdot)$
1-133-133.48-r0-0-0	$0.617$	$0.617$	$1$	$7 \cdot 19$	133.48	$0$	✓	✓			$-0.301$	$0$	$1.29653$	Character $\chi_{133}(48, \cdot)$
1-133-133.52-r0-0-0	$0.617$	$0.617$	$1$	$7 \cdot 19$	133.52	$0$	✓	✓			$0.0948$	$0$	$2.04233$	Character $\chi_{133}(52, \cdot)$
1-133-133.59-r0-0-0	$0.617$	$0.617$	$1$	$7 \cdot 19$	133.59	$0$	✓	✓			$-0.177$	$0$	$0.960301$	Character $\chi_{133}(59, \cdot)$
1-133-133.69-r0-0-0	$0.617$	$0.617$	$1$	$7 \cdot 19$	133.69	$0$	✓	✓			$-0.265$	$0$	$1.03482$	Character $\chi_{133}(69, \cdot)$
1-133-133.74-r0-0-0	$0.617$	$0.617$	$1$	$7 \cdot 19$	133.74	$0$	✓	✓			$-0.207$	$0$	$1.77341$	Character $\chi_{133}(74, \cdot)$
1-133-133.75-r0-0-0	$0.617$	$0.617$	$1$	$7 \cdot 19$	133.75	$0$	✓	✓			$0.479$	$0$	$2.88118$	Character $\chi_{133}(75, \cdot)$
1-133-133.81-r0-0-0	$0.617$	$0.617$	$1$	$7 \cdot 19$	133.81	$0$	✓	✓			$-0.392$	$0$	$3.11064$	Character $\chi_{133}(81, \cdot)$
1-133-133.89-r0-0-0	$0.617$	$0.617$	$1$	$7 \cdot 19$	133.89	$0$	✓	✓			$-0.242$	$0$	$0.947026$	Character $\chi_{133}(89, \cdot)$
1-133-133.9-r0-0-0	$0.617$	$0.617$	$1$	$7 \cdot 19$	133.9	$0$	✓	✓			$0.207$	$0$	$2.37240$	Character $\chi_{133}(9, \cdot)$
1-133-133.90-r0-0-0	$0.617$	$0.617$	$1$	$7 \cdot 19$	133.90	$0$	✓	✓			$-0.425$	$0$	$0.200476$	Character $\chi_{133}(90, \cdot)$
1-133-133.93-r0-0-0	$0.617$	$0.617$	$1$	$7 \cdot 19$	133.93	$0$	✓	✓			$-0.0202$	$0$	$0.724498$	Character $\chi_{133}(93, \cdot)$
1-133-133.94-r0-0-0	$0.617$	$0.617$	$1$	$7 \cdot 19$	133.94	$0$	✓	✓			$-0.479$	$0$	$0.970058$	Character $\chi_{133}(94, \cdot)$
1-133-133.97-r0-0-0	$0.617$	$0.617$	$1$	$7 \cdot 19$	133.97	$0$	✓	✓			$0.301$	$0$	$3.01466$	Character $\chi_{133}(97, \cdot)$
1-133-133.101-r1-0-0	$14.2$	$14.2$	$1$	$7 \cdot 19$	133.101	$1$	✓	✓			$-0.426$	$0$	$2.81242$	Character $\chi_{133}(101, \cdot)$
1-133-133.104-r1-0-0	$14.2$	$14.2$	$1$	$7 \cdot 19$	133.104	$1$	✓	✓			$0.113$	$0$	$0.699600$	Character $\chi_{133}(104, \cdot)$
1-133-133.107-r1-0-0	$14.2$	$14.2$	$1$	$7 \cdot 19$	133.107	$1$	✓	✓			$0.327$	$0$	$1.77314$	Character $\chi_{133}(107, \cdot)$
1-133-133.109-r1-0-0	$14.2$	$14.2$	$1$	$7 \cdot 19$	133.109	$1$	✓	✓			$-0.0187$	$0$	$1.07978$	Character $\chi_{133}(109, \cdot)$
1-133-133.111-r1-0-0	$14.2$	$14.2$	$1$	$7 \cdot 19$	133.111	$1$	✓	✓			$-0.0531$	$0$	$0.316266$	Character $\chi_{133}(111, \cdot)$
1-133-133.116-r1-0-0	$14.2$	$14.2$	$1$	$7 \cdot 19$	133.116	$1$	✓	✓			$-0.291$	$0$	$2.00346$	Character $\chi_{133}(116, \cdot)$
1-133-133.118-r1-0-0	$14.2$	$14.2$	$1$	$7 \cdot 19$	133.118	$1$	✓	✓			$0.299$	$0$	$2.24637$	Character $\chi_{133}(118, \cdot)$

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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.