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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 10730 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\nu$	$w$	prim	arith	$\mathbb{Q}$	self-dual	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
2-416-104.51-c0-0-0	$0.455$	$0.207$	$2$	$2^{5} \cdot 13$	104.51	$0.0$	0	✓	✓	✓	✓	$0$	$0$	$1.99755$	Artin representation 2.416.6t3.c Artin representation 2.416.6t3.c.a Modular form 416.1.h.a Modular form 416.1.h.a.207.1
2-416-104.51-c0-0-1	$0.455$	$0.207$	$2$	$2^{5} \cdot 13$	104.51	$0.0$	0	✓	✓	✓	✓	$0$	$0$	$2.26480$	Artin representation 2.416.6t3.d Artin representation 2.416.6t3.d.a Modular form 416.1.h.b Modular form 416.1.h.b.207.1
2-416-13.11-c0-0-0	$0.455$	$0.207$	$2$	$2^{5} \cdot 13$	13.11	$0.0$	0	✓	✓			$0.202$	$0$	$2.37386$	Modular form 416.1.bl.a.193.1
2-416-13.2-c0-0-0	$0.455$	$0.207$	$2$	$2^{5} \cdot 13$	13.2	$0.0$	0	✓	✓			$0.0457$	$0$	$2.00582$	Modular form 416.1.bl.a.353.1
2-416-13.5-c0-0-0	$0.455$	$0.207$	$2$	$2^{5} \cdot 13$	13.5	$0.0$	0	✓	✓			$0.0782$	$0$	$2.23985$	Artin representation 2.416.8t17.a.a Modular form 416.1.t.a.161.1
2-416-13.6-c0-0-0	$0.455$	$0.207$	$2$	$2^{5} \cdot 13$	13.6	$0.0$	0	✓	✓			$-0.202$	$0$	$1.04679$	Modular form 416.1.bl.a.97.1
2-416-13.7-c0-0-0	$0.455$	$0.207$	$2$	$2^{5} \cdot 13$	13.7	$0.0$	0	✓	✓			$-0.0457$	$0$	$1.66165$	Modular form 416.1.bl.a.33.1
2-416-13.8-c0-0-0	$0.455$	$0.207$	$2$	$2^{5} \cdot 13$	13.8	$0.0$	0	✓	✓			$-0.0782$	$0$	$1.63117$	Artin representation 2.416.8t17.a.b Modular form 416.1.t.a.385.1
2-416-52.3-c0-0-0	$0.455$	$0.207$	$2$	$2^{5} \cdot 13$	52.3	$0.0$	0	✓	✓			$-0.167$	$0$	$1.16817$	Modular form 416.1.bb.a.159.1
2-416-52.3-c0-0-1	$0.455$	$0.207$	$2$	$2^{5} \cdot 13$	52.3	$0.0$	0	✓	✓			$0.0823$	$0$	$2.28266$	Modular form 416.1.bb.a.159.2
2-416-52.35-c0-0-0	$0.455$	$0.207$	$2$	$2^{5} \cdot 13$	52.35	$0.0$	0	✓	✓			$-0.0823$	$0$	$1.79150$	Modular form 416.1.bb.a.191.2
2-416-52.35-c0-0-1	$0.455$	$0.207$	$2$	$2^{5} \cdot 13$	52.35	$0.0$	0	✓	✓			$0.167$	$0$	$2.01481$	Modular form 416.1.bb.a.191.1
2-416-1.1-c1-0-0	$1.82$	$3.32$	$2$	$2^{5} \cdot 13$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.556152$	Modular form 416.2.a.f.1.1
2-416-1.1-c1-0-1	$1.82$	$3.32$	$2$	$2^{5} \cdot 13$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.982909$	Modular form 416.2.a.e.1.1
2-416-1.1-c1-0-10	$1.82$	$3.32$	$2$	$2^{5} \cdot 13$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0.5$	$1$	$2.34351$	Elliptic curve 416.a Modular form 416.2.a.a Modular form 416.2.a.a.1.1
2-416-1.1-c1-0-11	$1.82$	$3.32$	$2$	$2^{5} \cdot 13$	1.1	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$2.80712$	Modular form 416.2.a.c.1.2
2-416-1.1-c1-0-2	$1.82$	$3.32$	$2$	$2^{5} \cdot 13$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.15759$	Modular form 416.2.a.d.1.1
2-416-1.1-c1-0-3	$1.82$	$3.32$	$2$	$2^{5} \cdot 13$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.29802$	Modular form 416.2.a.f.1.2
2-416-1.1-c1-0-4	$1.82$	$3.32$	$2$	$2^{5} \cdot 13$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$1.62873$	Elliptic curve 416.b Modular form 416.2.a.b Modular form 416.2.a.b.1.1
2-416-1.1-c1-0-5	$1.82$	$3.32$	$2$	$2^{5} \cdot 13$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.72716$	Modular form 416.2.a.f.1.4
2-416-1.1-c1-0-6	$1.82$	$3.32$	$2$	$2^{5} \cdot 13$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.73478$	Modular form 416.2.a.f.1.3
2-416-1.1-c1-0-7	$1.82$	$3.32$	$2$	$2^{5} \cdot 13$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.79757$	Modular form 416.2.a.e.1.2
2-416-1.1-c1-0-8	$1.82$	$3.32$	$2$	$2^{5} \cdot 13$	1.1	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$2.02601$	Modular form 416.2.a.c.1.1
2-416-1.1-c1-0-9	$1.82$	$3.32$	$2$	$2^{5} \cdot 13$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$2.09393$	Modular form 416.2.a.d.1.2
2-416-104.101-c1-0-0	$1.82$	$3.32$	$2$	$2^{5} \cdot 13$	104.101	$1.0$	$1$	✓	✓			$-0.414$	$0$	$0.252096$	Modular form 416.2.ba.c.49.4
2-416-104.101-c1-0-1	$1.82$	$3.32$	$2$	$2^{5} \cdot 13$	104.101	$1.0$	$1$	✓	✓			$-0.301$	$0$	$0.538293$	Modular form 416.2.ba.c.49.3
2-416-104.101-c1-0-10	$1.82$	$3.32$	$2$	$2^{5} \cdot 13$	104.101	$1.0$	$1$	✓	✓			$0.116$	$0$	$2.36256$	Modular form 416.2.ba.c.49.8
2-416-104.101-c1-0-11	$1.82$	$3.32$	$2$	$2^{5} \cdot 13$	104.101	$1.0$	$1$	✓	✓			$0.356$	$0$	$2.37431$	Modular form 416.2.ba.c.49.6
2-416-104.101-c1-0-2	$1.82$	$3.32$	$2$	$2^{5} \cdot 13$	104.101	$1.0$	$1$	✓	✓			$-0.334$	$0$	$0.634507$	Modular form 416.2.ba.a.49.1
2-416-104.101-c1-0-3	$1.82$	$3.32$	$2$	$2^{5} \cdot 13$	104.101	$1.0$	$1$	✓	✓			$-0.167$	$0$	$0.834241$	Modular form 416.2.ba.b.49.1
2-416-104.101-c1-0-4	$1.82$	$3.32$	$2$	$2^{5} \cdot 13$	104.101	$1.0$	$1$	✓	✓			$0.0918$	$0$	$1.03738$	Modular form 416.2.ba.c.49.1
2-416-104.101-c1-0-5	$1.82$	$3.32$	$2$	$2^{5} \cdot 13$	104.101	$1.0$	$1$	✓	✓			$-0.0843$	$0$	$1.37689$	Modular form 416.2.ba.a.49.2
2-416-104.101-c1-0-6	$1.82$	$3.32$	$2$	$2^{5} \cdot 13$	104.101	$1.0$	$1$	✓	✓			$-0.0378$	$0$	$1.39216$	Modular form 416.2.ba.c.49.5
2-416-104.101-c1-0-7	$1.82$	$3.32$	$2$	$2^{5} \cdot 13$	104.101	$1.0$	$1$	✓	✓			$0.260$	$0$	$1.57707$	Modular form 416.2.ba.c.49.2
2-416-104.101-c1-0-8	$1.82$	$3.32$	$2$	$2^{5} \cdot 13$	104.101	$1.0$	$1$	✓	✓			$0.0984$	$0$	$1.88627$	Modular form 416.2.ba.c.49.7
2-416-104.101-c1-0-9	$1.82$	$3.32$	$2$	$2^{5} \cdot 13$	104.101	$1.0$	$1$	✓	✓			$0.0823$	$0$	$1.89807$	Modular form 416.2.ba.b.49.2
2-416-104.11-c1-0-0	$1.82$	$3.32$	$2$	$2^{5} \cdot 13$	104.11	$1.0$	$1$	✓	✓			$-0.407$	$0$	$0.584257$	Modular form 416.2.bk.a.271.9
2-416-104.11-c1-0-1	$1.82$	$3.32$	$2$	$2^{5} \cdot 13$	104.11	$1.0$	$1$	✓	✓			$-0.0735$	$0$	$0.753372$	Modular form 416.2.bk.a.271.3
2-416-104.11-c1-0-10	$1.82$	$3.32$	$2$	$2^{5} \cdot 13$	104.11	$1.0$	$1$	✓	✓			$0.411$	$0$	$2.09967$	Modular form 416.2.bk.a.271.5
2-416-104.11-c1-0-11	$1.82$	$3.32$	$2$	$2^{5} \cdot 13$	104.11	$1.0$	$1$	✓	✓			$-0.381$	$0$	$2.76511$	Modular form 416.2.bk.a.271.2
2-416-104.11-c1-0-2	$1.82$	$3.32$	$2$	$2^{5} \cdot 13$	104.11	$1.0$	$1$	✓	✓			$-0.369$	$0$	$0.976736$	Modular form 416.2.bk.a.271.11
2-416-104.11-c1-0-3	$1.82$	$3.32$	$2$	$2^{5} \cdot 13$	104.11	$1.0$	$1$	✓	✓			$-0.0372$	$0$	$1.37344$	Modular form 416.2.bk.a.271.7
2-416-104.11-c1-0-4	$1.82$	$3.32$	$2$	$2^{5} \cdot 13$	104.11	$1.0$	$1$	✓	✓			$-0.196$	$0$	$1.41536$	Modular form 416.2.bk.a.271.12
2-416-104.11-c1-0-5	$1.82$	$3.32$	$2$	$2^{5} \cdot 13$	104.11	$1.0$	$1$	✓	✓			$0.0168$	$0$	$1.48057$	Modular form 416.2.bk.a.271.8
2-416-104.11-c1-0-6	$1.82$	$3.32$	$2$	$2^{5} \cdot 13$	104.11	$1.0$	$1$	✓	✓			$0.287$	$0$	$1.86765$	Modular form 416.2.bk.a.271.1
2-416-104.11-c1-0-7	$1.82$	$3.32$	$2$	$2^{5} \cdot 13$	104.11	$1.0$	$1$	✓	✓			$-0.0352$	$0$	$1.88049$	Modular form 416.2.bk.a.271.10
2-416-104.11-c1-0-8	$1.82$	$3.32$	$2$	$2^{5} \cdot 13$	104.11	$1.0$	$1$	✓	✓			$0.161$	$0$	$2.02824$	Modular form 416.2.bk.a.271.6
2-416-104.11-c1-0-9	$1.82$	$3.32$	$2$	$2^{5} \cdot 13$	104.11	$1.0$	$1$	✓	✓			$0.290$	$0$	$2.05814$	Modular form 416.2.bk.a.271.4
2-416-104.19-c1-0-0	$1.82$	$3.32$	$2$	$2^{5} \cdot 13$	104.19	$1.0$	$1$	✓	✓			$0.381$	$0$	$0.0297952$	Modular form 416.2.bk.a.175.2
2-416-104.19-c1-0-1	$1.82$	$3.32$	$2$	$2^{5} \cdot 13$	104.19	$1.0$	$1$	✓	✓			$-0.411$	$0$	$0.135305$	Modular form 416.2.bk.a.175.5

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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.