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 128 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-48e2-2304.1003-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.1003	$1$	✓	✓	$0.469$	$0$	$0.246979$	Character $\chi_{2304}(1003, \cdot)$
1-48e2-2304.101-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.101	$1$	✓	✓	$0.319$	$0$	$1.39738$	Character $\chi_{2304}(101, \cdot)$
1-48e2-2304.1013-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.1013	$1$	✓	✓	$-0.0308$	$0$	$0.416354$	Character $\chi_{2304}(1013, \cdot)$
1-48e2-2304.1037-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.1037	$1$	✓	✓	$0.249$	$0$	$0.922512$	Character $\chi_{2304}(1037, \cdot)$
1-48e2-2304.1051-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.1051	$1$	✓	✓	$-0.180$	$0$	$0.441032$	Character $\chi_{2304}(1051, \cdot)$
1-48e2-2304.1075-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.1075	$1$	✓	✓	$-0.194$	$0$	$0.504856$	Character $\chi_{2304}(1075, \cdot)$
1-48e2-2304.1085-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.1085	$1$	✓	✓	$-0.413$	$0$	$1.06326$	Character $\chi_{2304}(1085, \cdot)$
1-48e2-2304.1109-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.1109	$1$	✓	✓	$-0.336$	$0$	$1.31782$	Character $\chi_{2304}(1109, \cdot)$
1-48e2-2304.1123-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.1123	$1$	✓	✓	$-0.219$	$0$	$0.370981$	Character $\chi_{2304}(1123, \cdot)$
1-48e2-2304.1147-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.1147	$1$	✓	✓	$-0.249$	$0$	$0.226429$	Character $\chi_{2304}(1147, \cdot)$
1-48e2-2304.115-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.115	$1$	✓	✓	$0.249$	$0$	$0.635941$	Character $\chi_{2304}(115, \cdot)$
1-48e2-2304.1157-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.1157	$1$	✓	✓	$-0.249$	$0$	$0.555994$	Character $\chi_{2304}(1157, \cdot)$
1-48e2-2304.1181-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.1181	$1$	✓	✓	$-0.219$	$0$	$0.301993$	Character $\chi_{2304}(1181, \cdot)$
1-48e2-2304.1195-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.1195	$1$	✓	✓	$0.163$	$0$	$0.700260$	Character $\chi_{2304}(1195, \cdot)$
1-48e2-2304.1219-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.1219	$1$	✓	✓	$0.0863$	$0$	$0.872813$	Character $\chi_{2304}(1219, \cdot)$
1-48e2-2304.1229-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.1229	$1$	✓	✓	$0.305$	$0$	$0.983125$	Character $\chi_{2304}(1229, \cdot)$
1-48e2-2304.1253-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.1253	$1$	✓	✓	$0.319$	$0$	$0.682672$	Character $\chi_{2304}(1253, \cdot)$
1-48e2-2304.1267-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.1267	$1$	✓	✓	$0.249$	$0$	$0.752430$	Character $\chi_{2304}(1267, \cdot)$
1-48e2-2304.1291-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.1291	$1$	✓	✓	$-0.0308$	$0$	$0.766349$	Character $\chi_{2304}(1291, \cdot)$
1-48e2-2304.1301-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.1301	$1$	✓	✓	$0.469$	$0$	$0.0131907$	Character $\chi_{2304}(1301, \cdot)$
1-48e2-2304.1325-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.1325	$1$	✓	✓	$0.124$	$0$	$0.624999$	Character $\chi_{2304}(1325, \cdot)$
1-48e2-2304.1339-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.1339	$1$	✓	✓	$0.194$	$0$	$0.0121557$	Character $\chi_{2304}(1339, \cdot)$
1-48e2-2304.1363-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.1363	$1$	✓	✓	$-0.319$	$0$	$0.0949872$	Character $\chi_{2304}(1363, \cdot)$
1-48e2-2304.1373-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.1373	$1$	✓	✓	$0.0863$	$0$	$0.857395$	Character $\chi_{2304}(1373, \cdot)$
1-48e2-2304.139-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.139	$1$	✓	✓	$0.469$	$0$	$1.03023$	Character $\chi_{2304}(139, \cdot)$
1-48e2-2304.1397-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.1397	$1$	✓	✓	$0.413$	$0$	$0.0427475$	Character $\chi_{2304}(1397, \cdot)$
1-48e2-2304.1411-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.1411	$1$	✓	✓	$-0.219$	$0$	$1.36923$	Character $\chi_{2304}(1411, \cdot)$
1-48e2-2304.1435-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.1435	$1$	✓	✓	$0.375$	$0$	$1.07743$	Character $\chi_{2304}(1435, \cdot)$
1-48e2-2304.1445-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.1445	$1$	✓	✓	$-0.124$	$0$	$0.214781$	Character $\chi_{2304}(1445, \cdot)$
1-48e2-2304.1469-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.1469	$1$	✓	✓	$0.0308$	$0$	$0.816897$	Character $\chi_{2304}(1469, \cdot)$
1-48e2-2304.1483-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.1483	$1$	✓	✓	$0.163$	$0$	$0.878421$	Character $\chi_{2304}(1483, \cdot)$
1-48e2-2304.149-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.149	$1$	✓	✓	$-0.0308$	$0$	$0.341404$	Character $\chi_{2304}(149, \cdot)$
1-48e2-2304.1507-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.1507	$1$	✓	✓	$-0.163$	$0$	$0.513949$	Character $\chi_{2304}(1507, \cdot)$
1-48e2-2304.1517-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.1517	$1$	✓	✓	$-0.319$	$0$	$0.112789$	Character $\chi_{2304}(1517, \cdot)$
1-48e2-2304.1541-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.1541	$1$	✓	✓	$-0.305$	$0$	$0.451298$	Character $\chi_{2304}(1541, \cdot)$
1-48e2-2304.1555-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.1555	$1$	✓	✓	$-0.375$	$0$	$0.599446$	Character $\chi_{2304}(1555, \cdot)$
1-48e2-2304.1579-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.1579	$1$	✓	✓	$0.219$	$0$	$0.00335121$	Character $\chi_{2304}(1579, \cdot)$
1-48e2-2304.1589-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.1589	$1$	✓	✓	$-0.280$	$0$	$1.51822$	Character $\chi_{2304}(1589, \cdot)$
1-48e2-2304.1613-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.1613	$1$	✓	✓	$0.249$	$0$	$0.716209$	Character $\chi_{2304}(1613, \cdot)$
1-48e2-2304.1627-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.1627	$1$	✓	✓	$0.319$	$0$	$1.18410$	Character $\chi_{2304}(1627, \cdot)$
1-48e2-2304.1651-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.1651	$1$	✓	✓	$-0.194$	$0$	$0.528378$	Character $\chi_{2304}(1651, \cdot)$
1-48e2-2304.1661-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.1661	$1$	✓	✓	$-0.163$	$0$	$0.612849$	Character $\chi_{2304}(1661, \cdot)$
1-48e2-2304.1685-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.1685	$1$	✓	✓	$-0.0863$	$0$	$0.592949$	Character $\chi_{2304}(1685, \cdot)$
1-48e2-2304.1699-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.1699	$1$	✓	✓	$0.0308$	$0$	$0.973862$	Character $\chi_{2304}(1699, \cdot)$
1-48e2-2304.1723-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.1723	$1$	✓	✓	$-0.249$	$0$	$0.169614$	Character $\chi_{2304}(1723, \cdot)$
1-48e2-2304.173-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.173	$1$	✓	✓	$0.124$	$0$	$0.791214$	Character $\chi_{2304}(173, \cdot)$
1-48e2-2304.1733-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.1733	$1$	✓	✓	$-0.249$	$0$	$0.223948$	Character $\chi_{2304}(1733, \cdot)$
1-48e2-2304.1757-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.1757	$1$	✓	✓	$-0.469$	$0$	$1.26440$	Character $\chi_{2304}(1757, \cdot)$
1-48e2-2304.1771-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.1771	$1$	✓	✓	$-0.0863$	$0$	$0.494748$	Character $\chi_{2304}(1771, \cdot)$
1-48e2-2304.1795-r1-0-0	$247.$	$247.$	$1$	$2^{8} \cdot 3^{2}$	2304.1795	$1$	✓	✓	$-0.163$	$0$	$0.0187539$	Character $\chi_{2304}(1795, \cdot)$

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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.