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 264 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-2808-2808.1003-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.1003	$0$	✓	✓	$-0.244$	$0$	$0.531190$	Character $\chi_{2808}(1003, \cdot)$
1-2808-2808.1051-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.1051	$0$	✓	✓	$0.00311$	$0$	$0.599085$	Character $\chi_{2808}(1051, \cdot)$
1-2808-2808.1069-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.1069	$0$	✓	✓	$-0.133$	$0$	$0.591840$	Character $\chi_{2808}(1069, \cdot)$
1-2808-2808.1085-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.1085	$0$	✓	✓	$0.0864$	$0$	$1.30070$	Character $\chi_{2808}(1085, \cdot)$
1-2808-2808.1091-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.1091	$0$	✓	✓	$-0.0925$	$0$	$0.641888$	Character $\chi_{2808}(1091, \cdot)$
1-2808-2808.1123-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.1123	$0$	✓	✓	$-0.295$	$0$	$0.0378863$	Character $\chi_{2808}(1123, \cdot)$
1-2808-2808.1141-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.1141	$0$	✓	✓	$0.0720$	$0$	$0.667588$	Character $\chi_{2808}(1141, \cdot)$
1-2808-2808.115-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.115	$0$	✓	✓	$-0.336$	$0$	$0.0913027$	Character $\chi_{2808}(115, \cdot)$
1-2808-2808.1181-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.1181	$0$	✓	✓	$-0.0864$	$0$	$0.820642$	Character $\chi_{2808}(1181, \cdot)$
1-2808-2808.1213-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.1213	$0$	✓	✓	$-0.423$	$0$	$0.524532$	Character $\chi_{2808}(1213, \cdot)$
1-2808-2808.1229-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.1229	$0$	✓	✓	$0.346$	$0$	$1.16459$	Character $\chi_{2808}(1229, \cdot)$
1-2808-2808.1253-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.1253	$0$	✓	✓	$-0.0458$	$0$	$0.996189$	Character $\chi_{2808}(1253, \cdot)$
1-2808-2808.1267-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.1267	$0$	✓	✓	$-0.0154$	$0$	$0.951332$	Character $\chi_{2808}(1267, \cdot)$
1-2808-2808.1283-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.1283	$0$	✓	✓	$0.0499$	$0$	$0.843365$	Character $\chi_{2808}(1283, \cdot)$
1-2808-2808.1309-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.1309	$0$	✓	✓	$-0.200$	$0$	$0.553474$	Character $\chi_{2808}(1309, \cdot)$
1-2808-2808.133-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.133	$0$	✓	✓	$0.200$	$0$	$0.910964$	Character $\chi_{2808}(133, \cdot)$
1-2808-2808.1355-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.1355	$0$	✓	✓	$-0.198$	$0$	$0.822871$	Character $\chi_{2808}(1355, \cdot)$
1-2808-2808.1363-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.1363	$0$	✓	✓	$0.0154$	$0$	$1.14676$	Character $\chi_{2808}(1363, \cdot)$
1-2808-2808.1373-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.1373	$0$	✓	✓	$0.0458$	$0$	$0.858146$	Character $\chi_{2808}(1373, \cdot)$
1-2808-2808.1381-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.1381	$0$	✓	✓	$-0.448$	$0$	$1.64747$	Character $\chi_{2808}(1381, \cdot)$
1-2808-2808.1397-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.1397	$0$	✓	✓	$-0.0987$	$0$	$0.510714$	Character $\chi_{2808}(1397, \cdot)$
1-2808-2808.1411-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.1411	$0$	✓	✓	$0.244$	$0$	$1.28893$	Character $\chi_{2808}(1411, \cdot)$
1-2808-2808.1427-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.1427	$0$	✓	✓	$0.00721$	$0$	$0.727778$	Character $\chi_{2808}(1427, \cdot)$
1-2808-2808.1429-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.1429	$0$	✓	✓	$0.490$	$0$	$1.38845$	Character $\chi_{2808}(1429, \cdot)$
1-2808-2808.1435-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.1435	$0$	✓	✓	$0.389$	$0$	$0.0192131$	Character $\chi_{2808}(1435, \cdot)$
1-2808-2808.1445-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.1445	$0$	✓	✓	$0.171$	$0$	$1.22561$	Character $\chi_{2808}(1445, \cdot)$
1-2808-2808.1453-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.1453	$0$	✓	✓	$-0.242$	$0$	$0.510573$	Character $\chi_{2808}(1453, \cdot)$
1-2808-2808.149-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.149	$0$	✓	✓	$-0.246$	$0$	$0.646498$	Character $\chi_{2808}(149, \cdot)$
1-2808-2808.1499-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.1499	$0$	✓	✓	$-0.155$	$0$	$0.406390$	Character $\chi_{2808}(1499, \cdot)$
1-2808-2808.1525-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.1525	$0$	✓	✓	$-0.405$	$0$	$0.0457361$	Character $\chi_{2808}(1525, \cdot)$
1-2808-2808.1541-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.1541	$0$	✓	✓	$-0.171$	$0$	$0.654308$	Character $\chi_{2808}(1541, \cdot)$
1-2808-2808.155-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.155	$0$	✓	✓	$-0.0925$	$0$	$0.688307$	Character $\chi_{2808}(155, \cdot)$
1-2808-2808.1555-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.1555	$0$	✓	✓	$-0.389$	$0$	$0.510410$	Character $\chi_{2808}(1555, \cdot)$
1-2808-2808.1579-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.1579	$0$	✓	✓	$0.00311$	$0$	$0.511860$	Character $\chi_{2808}(1579, \cdot)$
1-2808-2808.1595-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.1595	$0$	✓	✓	$-0.468$	$0$	$0.253113$	Character $\chi_{2808}(1595, \cdot)$
1-2808-2808.1627-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.1627	$0$	✓	✓	$0.0699$	$0$	$0.892989$	Character $\chi_{2808}(1627, \cdot)$
1-2808-2808.1667-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.1667	$0$	✓	✓	$-0.383$	$0$	$1.41969$	Character $\chi_{2808}(1667, \cdot)$
1-2808-2808.1685-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.1685	$0$	✓	✓	$-0.139$	$0$	$0.200225$	Character $\chi_{2808}(1685, \cdot)$
1-2808-2808.1715-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.1715	$0$	✓	✓	$-0.240$	$0$	$0.585744$	Character $\chi_{2808}(1715, \cdot)$
1-2808-2808.1723-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.1723	$0$	✓	✓	$-0.0699$	$0$	$0.676687$	Character $\chi_{2808}(1723, \cdot)$
1-2808-2808.1739-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.1739	$0$	✓	✓	$-0.177$	$0$	$0.378253$	Character $\chi_{2808}(1739, \cdot)$
1-2808-2808.1741-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.1741	$0$	✓	✓	$-0.490$	$0$	$0.0115285$	Character $\chi_{2808}(1741, \cdot)$
1-2808-2808.1757-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.1757	$0$	✓	✓	$-0.346$	$0$	$0.450751$	Character $\chi_{2808}(1757, \cdot)$
1-2808-2808.1805-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.1805	$0$	✓	✓	$0.0987$	$0$	$0.867005$	Character $\chi_{2808}(1805, \cdot)$
1-2808-2808.1811-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.1811	$0$	✓	✓	$0.326$	$0$	$1.18646$	Character $\chi_{2808}(1811, \cdot)$
1-2808-2808.1867-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.1867	$0$	✓	✓	$0.295$	$0$	$1.21556$	Character $\chi_{2808}(1867, \cdot)$
1-2808-2808.187-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.187	$0$	✓	✓	$0.0375$	$0$	$0.830977$	Character $\chi_{2808}(187, \cdot)$
1-2808-2808.1877-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.1877	$0$	✓	✓	$-0.193$	$0$	$0.486144$	Character $\chi_{2808}(1877, \cdot)$
1-2808-2808.1933-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.1933	$0$	✓	✓	$0.448$	$0$	$0.0656681$	Character $\chi_{2808}(1933, \cdot)$
1-2808-2808.1939-r0-0-0	$13.0$	$13.0$	$1$	$2^{3} \cdot 3^{3} \cdot 13$	2808.1939	$0$	✓	✓	$-0.244$	$0$	$0.516574$	Character $\chi_{2808}(1939, \cdot)$

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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.