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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 63 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
1-115-115.102-r0-0-0	$0.534$	$0.534$	$1$	$5 \cdot 23$	115.102	$0$	✓	✓			$-0.135$	$0$	$1.35935$	Character $\chi_{115}(102, \cdot)$
1-115-115.103-r0-0-0	$0.534$	$0.534$	$1$	$5 \cdot 23$	115.103	$0$	✓	✓			$-0.418$	$0$	$0.642285$	Character $\chi_{115}(103, \cdot)$
1-115-115.104-r0-0-0	$0.534$	$0.534$	$1$	$5 \cdot 23$	115.104	$0$	✓	✓			$0.175$	$0$	$1.70032$	Character $\chi_{115}(104, \cdot)$
1-115-115.107-r0-0-0	$0.534$	$0.534$	$1$	$5 \cdot 23$	115.107	$0$	✓	✓			$-0.141$	$0$	$1.68882$	Character $\chi_{115}(107, \cdot)$
1-115-115.112-r0-0-0	$0.534$	$0.534$	$1$	$5 \cdot 23$	115.112	$0$	✓	✓			$-0.182$	$0$	$0.925643$	Character $\chi_{115}(112, \cdot)$
1-115-115.113-r0-0-0	$0.534$	$0.534$	$1$	$5 \cdot 23$	115.113	$0$	✓	✓			$-0.257$	$0$	$1.51096$	Character $\chi_{115}(113, \cdot)$
1-115-115.17-r0-0-0	$0.534$	$0.534$	$1$	$5 \cdot 23$	115.17	$0$	✓	✓			$-0.277$	$0$	$1.58198$	Character $\chi_{115}(17, \cdot)$
1-115-115.22-r0-0-0	$0.534$	$0.534$	$1$	$5 \cdot 23$	115.22	$0$	✓	✓			$-0.161$	$0$	$0.756621$	Character $\chi_{115}(22, \cdot)$
1-115-115.28-r0-0-0	$0.534$	$0.534$	$1$	$5 \cdot 23$	115.28	$0$	✓	✓			$-0.267$	$0$	$1.49138$	Character $\chi_{115}(28, \cdot)$
1-115-115.29-r0-0-0	$0.534$	$0.534$	$1$	$5 \cdot 23$	115.29	$0$	✓	✓			$0.231$	$0$	$1.98846$	Character $\chi_{115}(29, \cdot)$
1-115-115.33-r0-0-0	$0.534$	$0.534$	$1$	$5 \cdot 23$	115.33	$0$	✓	✓			$0.188$	$0$	$2.24348$	Character $\chi_{115}(33, \cdot)$
1-115-115.37-r0-0-0	$0.534$	$0.534$	$1$	$5 \cdot 23$	115.37	$0$	✓	✓			$0.267$	$0$	$2.68302$	Character $\chi_{115}(37, \cdot)$
1-115-115.38-r0-0-0	$0.534$	$0.534$	$1$	$5 \cdot 23$	115.38	$0$	✓	✓			$0.182$	$0$	$1.31474$	Character $\chi_{115}(38, \cdot)$
1-115-115.39-r0-0-0	$0.534$	$0.534$	$1$	$5 \cdot 23$	115.39	$0$	✓	✓			$-0.388$	$0$	$3.16859$	Character $\chi_{115}(39, \cdot)$
1-115-115.4-r0-0-0	$0.534$	$0.534$	$1$	$5 \cdot 23$	115.4	$0$	✓	✓			$-0.231$	$0$	$1.13747$	Character $\chi_{115}(4, \cdot)$
1-115-115.42-r0-0-0	$0.534$	$0.534$	$1$	$5 \cdot 23$	115.42	$0$	✓	✓			$-0.0461$	$0$	$1.47960$	Character $\chi_{115}(42, \cdot)$
1-115-115.43-r0-0-0	$0.534$	$0.534$	$1$	$5 \cdot 23$	115.43	$0$	✓	✓			$0.141$	$0$	$1.90255$	Character $\chi_{115}(43, \cdot)$
1-115-115.49-r0-0-0	$0.534$	$0.534$	$1$	$5 \cdot 23$	115.49	$0$	✓	✓			$0.0396$	$0$	$2.50516$	Character $\chi_{115}(49, \cdot)$
1-115-115.53-r0-0-0	$0.534$	$0.534$	$1$	$5 \cdot 23$	115.53	$0$	✓	✓			$0.135$	$0$	$1.87659$	Character $\chi_{115}(53, \cdot)$
1-115-115.54-r0-0-0	$0.534$	$0.534$	$1$	$5 \cdot 23$	115.54	$0$	✓	✓			$-0.0396$	$0$	$1.96944$	Character $\chi_{115}(54, \cdot)$
1-115-115.57-r0-0-0	$0.534$	$0.534$	$1$	$5 \cdot 23$	115.57	$0$	✓	✓			$0.257$	$0$	$2.58800$	Character $\chi_{115}(57, \cdot)$
1-115-115.59-r0-0-0	$0.534$	$0.534$	$1$	$5 \cdot 23$	115.59	$0$	✓	✓			$0.388$	$0$	$0.475588$	Character $\chi_{115}(59, \cdot)$
1-115-115.63-r0-0-0	$0.534$	$0.534$	$1$	$5 \cdot 23$	115.63	$0$	✓	✓			$0.0461$	$0$	$0.939642$	Character $\chi_{115}(63, \cdot)$
1-115-115.64-r0-0-0	$0.534$	$0.534$	$1$	$5 \cdot 23$	115.64	$0$	✓	✓			$0.0718$	$0$	$1.56993$	Character $\chi_{115}(64, \cdot)$
1-115-115.67-r0-0-0	$0.534$	$0.534$	$1$	$5 \cdot 23$	115.67	$0$	✓	✓			$0.418$	$0$	$2.24208$	Character $\chi_{115}(67, \cdot)$
1-115-115.68-r0-0-0	$0.534$	$0.534$	$1$	$5 \cdot 23$	115.68	$0$	✓	✓			$0.161$	$0$	$2.19992$	Character $\chi_{115}(68, \cdot)$
1-115-115.7-r0-0-0	$0.534$	$0.534$	$1$	$5 \cdot 23$	115.7	$0$	✓	✓			$-0.188$	$0$	$1.25346$	Character $\chi_{115}(7, \cdot)$
1-115-115.83-r0-0-0	$0.534$	$0.534$	$1$	$5 \cdot 23$	115.83	$0$	✓	✓			$-0.409$	$0$	$0.577534$	Character $\chi_{115}(83, \cdot)$
1-115-115.88-r0-0-0	$0.534$	$0.534$	$1$	$5 \cdot 23$	115.88	$0$	✓	✓			$0.277$	$0$	$2.73650$	Character $\chi_{115}(88, \cdot)$
1-115-115.9-r0-0-0	$0.534$	$0.534$	$1$	$5 \cdot 23$	115.9	$0$	✓	✓			$-0.0718$	$0$	$1.23436$	Character $\chi_{115}(9, \cdot)$
1-115-115.94-r0-0-0	$0.534$	$0.534$	$1$	$5 \cdot 23$	115.94	$0$	✓	✓			$-0.175$	$0$	$1.54669$	Character $\chi_{115}(94, \cdot)$
1-115-115.97-r0-0-0	$0.534$	$0.534$	$1$	$5 \cdot 23$	115.97	$0$	✓	✓			$0.409$	$0$	$1.79277$	Character $\chi_{115}(97, \cdot)$
1-115-115.108-r1-0-0	$12.3$	$12.3$	$1$	$5 \cdot 23$	115.108	$1$	✓	✓			$0.273$	$0$	$1.60602$	Character $\chi_{115}(108, \cdot)$
1-115-115.109-r1-0-0	$12.3$	$12.3$	$1$	$5 \cdot 23$	115.109	$1$	✓	✓			$-0.115$	$0$	$0.534154$	Character $\chi_{115}(109, \cdot)$
1-115-115.114-r1-0-0	$12.3$	$12.3$	$1$	$5 \cdot 23$	115.114	$1$	✓	✓	✓	✓	$0$	$0$	$0.796910$	Character $\chi_{115}(114, \cdot)$
1-115-115.12-r1-0-0	$12.3$	$12.3$	$1$	$5 \cdot 23$	115.12	$1$	✓	✓			$-0.486$	$0$	$2.70627$	Character $\chi_{115}(12, \cdot)$
1-115-115.13-r1-0-0	$12.3$	$12.3$	$1$	$5 \cdot 23$	115.13	$1$	✓	✓			$0.0501$	$0$	$1.26589$	Character $\chi_{115}(13, \cdot)$
1-115-115.14-r1-0-0	$12.3$	$12.3$	$1$	$5 \cdot 23$	115.14	$1$	✓	✓			$0.429$	$0$	$0.0972773$	Character $\chi_{115}(14, \cdot)$
1-115-115.18-r1-0-0	$12.3$	$12.3$	$1$	$5 \cdot 23$	115.18	$1$	✓	✓			$-0.266$	$0$	$1.26759$	Character $\chi_{115}(18, \cdot)$
1-115-115.19-r1-0-0	$12.3$	$12.3$	$1$	$5 \cdot 23$	115.19	$1$	✓	✓			$0.115$	$0$	$1.41539$	Character $\chi_{115}(19, \cdot)$
1-115-115.2-r1-0-0	$12.3$	$12.3$	$1$	$5 \cdot 23$	115.2	$1$	✓	✓			$0.162$	$0$	$1.13752$	Character $\chi_{115}(2, \cdot)$
1-115-115.27-r1-0-0	$12.3$	$12.3$	$1$	$5 \cdot 23$	115.27	$1$	✓	✓			$0.106$	$0$	$1.13550$	Character $\chi_{115}(27, \cdot)$
1-115-115.3-r1-0-0	$12.3$	$12.3$	$1$	$5 \cdot 23$	115.3	$1$	✓	✓			$-0.298$	$0$	$0.223905$	Character $\chi_{115}(3, \cdot)$
1-115-115.32-r1-0-0	$12.3$	$12.3$	$1$	$5 \cdot 23$	115.32	$1$	✓	✓			$0.266$	$0$	$1.90256$	Character $\chi_{115}(32, \cdot)$
1-115-115.34-r1-0-0	$12.3$	$12.3$	$1$	$5 \cdot 23$	115.34	$1$	✓	✓			$0.419$	$0$	$1.85983$	Character $\chi_{115}(34, \cdot)$
1-115-115.44-r1-0-0	$12.3$	$12.3$	$1$	$5 \cdot 23$	115.44	$1$	✓	✓			$-0.419$	$0$	$0.668503$	Character $\chi_{115}(44, \cdot)$
1-115-115.48-r1-0-0	$12.3$	$12.3$	$1$	$5 \cdot 23$	115.48	$1$	✓	✓			$0.486$	$0$	$0.505717$	Character $\chi_{115}(48, \cdot)$
1-115-115.52-r1-0-0	$12.3$	$12.3$	$1$	$5 \cdot 23$	115.52	$1$	✓	✓			$-0.430$	$0$	$0.946453$	Character $\chi_{115}(52, \cdot)$
1-115-115.58-r1-0-0	$12.3$	$12.3$	$1$	$5 \cdot 23$	115.58	$1$	✓	✓			$-0.162$	$0$	$1.14150$	Character $\chi_{115}(58, \cdot)$
1-115-115.62-r1-0-0	$12.3$	$12.3$	$1$	$5 \cdot 23$	115.62	$1$	✓	✓			$-0.0501$	$0$	$1.32300$	Character $\chi_{115}(62, \cdot)$

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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.