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 288 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-39e2-1521.1003-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.1003	$1$	✓	✓	$-0.265$	$0$	$0.128378$	Character $\chi_{1521}(1003, \cdot)$
1-39e2-1521.1004-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.1004	$1$	✓	✓	$0.0977$	$0$	$0.533781$	Character $\chi_{1521}(1004, \cdot)$
1-39e2-1521.1006-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.1006	$1$	✓	✓	$-0.431$	$0$	$1.28946$	Character $\chi_{1521}(1006, \cdot)$
1-39e2-1521.101-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.101	$1$	✓	✓	$0.141$	$0$	$0.971711$	Character $\chi_{1521}(101, \cdot)$
1-39e2-1521.1010-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.1010	$1$	✓	✓	$-0.429$	$0$	$0.0259200$	Character $\chi_{1521}(1010, \cdot)$
1-39e2-1521.1012-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.1012	$1$	✓	✓	$-0.179$	$0$	$0.424095$	Character $\chi_{1521}(1012, \cdot)$
1-39e2-1521.1021-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.1021	$1$	✓	✓	$-0.208$	$0$	$0.726426$	Character $\chi_{1521}(1021, \cdot)$
1-39e2-1521.1028-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.1028	$1$	✓	✓	$0.361$	$0$	$0.227789$	Character $\chi_{1521}(1028, \cdot)$
1-39e2-1521.1031-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.1031	$1$	✓	✓	$0.291$	$0$	$0.958189$	Character $\chi_{1521}(1031, \cdot)$
1-39e2-1521.1042-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.1042	$1$	✓	✓	$0.391$	$0$	$0.611019$	Character $\chi_{1521}(1042, \cdot)$
1-39e2-1521.1048-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.1048	$1$	✓	✓	$-0.249$	$0$	$1.48267$	Character $\chi_{1521}(1048, \cdot)$
1-39e2-1521.1049-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.1049	$1$	✓	✓	$0.0682$	$0$	$0.895686$	Character $\chi_{1521}(1049, \cdot)$
1-39e2-1521.1051-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.1051	$1$	✓	✓	$0.385$	$0$	$1.32507$	Character $\chi_{1521}(1051, \cdot)$
1-39e2-1521.106-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.106	$1$	✓	✓	$-0.138$	$0$	$0.0904678$	Character $\chi_{1521}(106, \cdot)$
1-39e2-1521.1060-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.1060	$1$	✓	✓	$0.265$	$0$	$0.788341$	Character $\chi_{1521}(1060, \cdot)$
1-39e2-1521.1067-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.1067	$1$	✓	✓	$-0.0422$	$0$	$0.764148$	Character $\chi_{1521}(1067, \cdot)$
1-39e2-1521.1076-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.1076	$1$	✓	✓	$-0.361$	$0$	$0.0584558$	Character $\chi_{1521}(1076, \cdot)$
1-39e2-1521.1082-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.1082	$1$	✓	✓	$-0.358$	$0$	$1.43798$	Character $\chi_{1521}(1082, \cdot)$
1-39e2-1521.1087-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.1087	$1$	✓	✓	$-0.487$	$0$	$1.45375$	Character $\chi_{1521}(1087, \cdot)$
1-39e2-1521.1091-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.1091	$1$	✓	✓	$-0.262$	$0$	$0.614522$	Character $\chi_{1521}(1091, \cdot)$
1-39e2-1521.1109-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.1109	$1$	✓	✓	$0.249$	$0$	$0.995590$	Character $\chi_{1521}(1109, \cdot)$
1-39e2-1521.1111-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.1111	$1$	✓	✓	$-0.249$	$0$	$0.448805$	Character $\chi_{1521}(1111, \cdot)$
1-39e2-1521.112-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.112	$1$	✓	✓	$0.379$	$0$	$1.28740$	Character $\chi_{1521}(112, \cdot)$
1-39e2-1521.1120-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.1120	$1$	✓	✓	$-0.249$	$0$	$1.66426$	Character $\chi_{1521}(1120, \cdot)$
1-39e2-1521.1121-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.1121	$1$	✓	✓	$-0.361$	$0$	$0.340849$	Character $\chi_{1521}(1121, \cdot)$
1-39e2-1521.1123-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.1123	$1$	✓	✓	$0.0585$	$0$	$0.798789$	Character $\chi_{1521}(1123, \cdot)$
1-39e2-1521.1127-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.1127	$1$	✓	✓	$-0.129$	$0$	$0.147016$	Character $\chi_{1521}(1127, \cdot)$
1-39e2-1521.1129-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.1129	$1$	✓	✓	$0.138$	$0$	$0.606208$	Character $\chi_{1521}(1129, \cdot)$
1-39e2-1521.113-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.113	$1$	✓	✓	$0.259$	$0$	$1.30253$	Character $\chi_{1521}(113, \cdot)$
1-39e2-1521.1130-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.1130	$1$	✓	✓	$-0.0422$	$0$	$0.303201$	Character $\chi_{1521}(1130, \cdot)$
1-39e2-1521.1138-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.1138	$1$	✓	✓	$-0.235$	$0$	$0.277846$	Character $\chi_{1521}(1138, \cdot)$
1-39e2-1521.1145-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.1145	$1$	✓	✓	$-0.401$	$0$	$1.62839$	Character $\chi_{1521}(1145, \cdot)$
1-39e2-1521.1148-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.1148	$1$	✓	✓	$0.0682$	$0$	$0.493289$	Character $\chi_{1521}(1148, \cdot)$
1-39e2-1521.115-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.115	$1$	✓	✓	$0.249$	$0$	$0.894098$	Character $\chi_{1521}(115, \cdot)$
1-39e2-1521.1150-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.1150	$1$	✓	✓	$-0.379$	$0$	$0.420697$	Character $\chi_{1521}(1150, \cdot)$
1-39e2-1521.1154-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.1154	$1$	✓	✓	$-0.0682$	$0$	$0.969079$	Character $\chi_{1521}(1154, \cdot)$
1-39e2-1521.1159-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.1159	$1$	✓	✓	$0.208$	$0$	$1.30408$	Character $\chi_{1521}(1159, \cdot)$
1-39e2-1521.1165-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.1165	$1$	✓	✓	$0.376$	$0$	$0.831810$	Character $\chi_{1521}(1165, \cdot)$
1-39e2-1521.1166-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.1166	$1$	✓	✓	$0.291$	$0$	$0.891230$	Character $\chi_{1521}(1166, \cdot)$
1-39e2-1521.1168-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.1168	$1$	✓	✓	$0.235$	$0$	$0.945098$	Character $\chi_{1521}(1168, \cdot)$
1-39e2-1521.1177-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.1177	$1$	✓	✓	$-0.280$	$0$	$0.641156$	Character $\chi_{1521}(1177, \cdot)$
1-39e2-1521.1193-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.1193	$1$	✓	✓	$0.0977$	$0$	$1.03389$	Character $\chi_{1521}(1193, \cdot)$
1-39e2-1521.1199-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.1199	$1$	✓	✓	$0.361$	$0$	$0.808281$	Character $\chi_{1521}(1199, \cdot)$
1-39e2-1521.1201-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.1201	$1$	✓	✓	$-0.123$	$0$	$1.00156$	Character $\chi_{1521}(1201, \cdot)$
1-39e2-1521.1204-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.1204	$1$	✓	✓	$-0.457$	$0$	$1.25772$	Character $\chi_{1521}(1204, \cdot)$
1-39e2-1521.1208-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.1208	$1$	✓	✓	$-0.191$	$0$	$0.303402$	Character $\chi_{1521}(1208, \cdot)$
1-39e2-1521.1226-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.1226	$1$	✓	✓	$0.475$	$0$	$0.279266$	Character $\chi_{1521}(1226, \cdot)$
1-39e2-1521.1228-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.1228	$1$	✓	✓	$-0.235$	$0$	$0.485174$	Character $\chi_{1521}(1228, \cdot)$
1-39e2-1521.1237-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.1237	$1$	✓	✓	$0.138$	$0$	$0.919153$	Character $\chi_{1521}(1237, \cdot)$
1-39e2-1521.1238-r1-0-0	$163.$	$163.$	$1$	$3^{2} \cdot 13^{2}$	1521.1238	$1$	✓	✓	$0.0248$	$0$	$0.551305$	Character $\chi_{1521}(1238, \cdot)$

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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.