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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 135 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
1-137-137.100-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.100	$0$	✓	✓			$-0.472$	$0$	$2.26725$	Character $\chi_{137}(100, \cdot)$
1-137-137.101-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.101	$0$	✓	✓			$0.379$	$0$	$0.374474$	Character $\chi_{137}(101, \cdot)$
1-137-137.103-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.103	$0$	✓	✓			$-0.190$	$0$	$1.43055$	Character $\chi_{137}(103, \cdot)$
1-137-137.105-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.105	$0$	✓	✓			$-0.273$	$0$	$1.23952$	Character $\chi_{137}(105, \cdot)$
1-137-137.107-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.107	$0$	✓	✓			$0.273$	$0$	$1.82238$	Character $\chi_{137}(107, \cdot)$
1-137-137.109-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.109	$0$	✓	✓			$-0.178$	$0$	$1.24393$	Character $\chi_{137}(109, \cdot)$
1-137-137.11-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.11	$0$	✓	✓			$-0.103$	$0$	$1.92063$	Character $\chi_{137}(11, \cdot)$
1-137-137.112-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.112	$0$	✓	✓			$0.136$	$0$	$2.15974$	Character $\chi_{137}(112, \cdot)$
1-137-137.115-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.115	$0$	✓	✓			$-0.320$	$0$	$0.596874$	Character $\chi_{137}(115, \cdot)$
1-137-137.118-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.118	$0$	✓	✓			$-0.0620$	$0$	$1.33748$	Character $\chi_{137}(118, \cdot)$
1-137-137.119-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.119	$0$	✓	✓			$-0.342$	$0$	$1.04541$	Character $\chi_{137}(119, \cdot)$
1-137-137.120-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.120	$0$	✓	✓			$0.427$	$0$	$0.606484$	Character $\chi_{137}(120, \cdot)$
1-137-137.121-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.121	$0$	✓	✓			$-0.298$	$0$	$1.23853$	Character $\chi_{137}(121, \cdot)$
1-137-137.122-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.122	$0$	✓	✓			$0.236$	$0$	$2.14617$	Character $\chi_{137}(122, \cdot)$
1-137-137.123-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.123	$0$	✓	✓			$-0.247$	$0$	$1.67407$	Character $\chi_{137}(123, \cdot)$
1-137-137.126-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.126	$0$	✓	✓			$-0.136$	$0$	$1.22958$	Character $\chi_{137}(126, \cdot)$
1-137-137.128-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.128	$0$	✓	✓			$-0.191$	$0$	$0.422997$	Character $\chi_{137}(128, \cdot)$
1-137-137.129-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.129	$0$	✓	✓			$0.175$	$0$	$1.75005$	Character $\chi_{137}(129, \cdot)$
1-137-137.130-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.130	$0$	✓	✓			$-0.0568$	$0$	$1.56045$	Character $\chi_{137}(130, \cdot)$
1-137-137.133-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.133	$0$	✓	✓			$-0.0577$	$0$	$1.00016$	Character $\chi_{137}(133, \cdot)$
1-137-137.135-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.135	$0$	✓	✓			$-0.183$	$0$	$1.41321$	Character $\chi_{137}(135, \cdot)$
1-137-137.136-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.136	$0$	✓	✓	✓	✓	$0$	$0$	$1.52794$	Character $\chi_{137}(136, \cdot)$
1-137-137.14-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.14	$0$	✓	✓			$-0.429$	$0$	$0.576778$	Character $\chi_{137}(14, \cdot)$
1-137-137.15-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.15	$0$	✓	✓			$-0.160$	$0$	$1.03599$	Character $\chi_{137}(15, \cdot)$
1-137-137.16-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.16	$0$	✓	✓			$0.0741$	$0$	$2.17407$	Character $\chi_{137}(16, \cdot)$
1-137-137.17-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.17	$0$	✓	✓			$-0.175$	$0$	$1.27450$	Character $\chi_{137}(17, \cdot)$
1-137-137.18-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.18	$0$	✓	✓			$-0.217$	$0$	$1.38864$	Character $\chi_{137}(18, \cdot)$
1-137-137.19-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.19	$0$	✓	✓			$-0.379$	$0$	$2.45276$	Character $\chi_{137}(19, \cdot)$
1-137-137.2-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.2	$0$	✓	✓			$-0.0962$	$0$	$1.57249$	Character $\chi_{137}(2, \cdot)$
1-137-137.22-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.22	$0$	✓	✓			$-0.327$	$0$	$1.22785$	Character $\chi_{137}(22, \cdot)$
1-137-137.25-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.25	$0$	✓	✓			$0.103$	$0$	$2.38959$	Character $\chi_{137}(25, \cdot)$
1-137-137.28-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.28	$0$	✓	✓			$0.278$	$0$	$1.80662$	Character $\chi_{137}(28, \cdot)$
1-137-137.30-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.30	$0$	✓	✓			$0.142$	$0$	$1.04762$	Character $\chi_{137}(30, \cdot)$
1-137-137.32-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.32	$0$	✓	✓			$-0.142$	$0$	$0.799763$	Character $\chi_{137}(32, \cdot)$
1-137-137.34-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.34	$0$	✓	✓			$0.0577$	$0$	$1.03455$	Character $\chi_{137}(34, \cdot)$
1-137-137.36-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.36	$0$	✓	✓			$0.0620$	$0$	$1.72981$	Character $\chi_{137}(36, \cdot)$
1-137-137.37-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.37	$0$	✓	✓			$0.472$	$0$	$0.0944604$	Character $\chi_{137}(37, \cdot)$
1-137-137.38-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.38	$0$	✓	✓			$0.342$	$0$	$2.30924$	Character $\chi_{137}(38, \cdot)$
1-137-137.39-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.39	$0$	✓	✓			$0.0568$	$0$	$2.24140$	Character $\chi_{137}(39, \cdot)$
1-137-137.4-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.4	$0$	✓	✓			$0.190$	$0$	$1.94871$	Character $\chi_{137}(4, \cdot)$
1-137-137.44-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.44	$0$	✓	✓			$0.178$	$0$	$1.79230$	Character $\chi_{137}(44, \cdot)$
1-137-137.49-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.49	$0$	✓	✓			$0.429$	$0$	$2.28734$	Character $\chi_{137}(49, \cdot)$
1-137-137.50-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.50	$0$	✓	✓			$0.205$	$0$	$2.69054$	Character $\chi_{137}(50, \cdot)$
1-137-137.56-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.56	$0$	✓	✓			$0.320$	$0$	$1.42654$	Character $\chi_{137}(56, \cdot)$
1-137-137.59-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.59	$0$	✓	✓			$-0.0357$	$0$	$1.60896$	Character $\chi_{137}(59, \cdot)$
1-137-137.60-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.60	$0$	✓	✓			$-0.0741$	$0$	$1.59968$	Character $\chi_{137}(60, \cdot)$
1-137-137.61-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.61	$0$	✓	✓			$-0.225$	$0$	$1.76933$	Character $\chi_{137}(61, \cdot)$
1-137-137.63-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.63	$0$	✓	✓			$-0.323$	$0$	$3.29459$	Character $\chi_{137}(63, \cdot)$
1-137-137.64-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.64	$0$	✓	✓			$0.160$	$0$	$1.20188$	Character $\chi_{137}(64, \cdot)$
1-137-137.65-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.65	$0$	✓	✓			$-0.0621$	$0$	$1.08476$	Character $\chi_{137}(65, \cdot)$

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Elliptic curves over $\Q$
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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.