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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 392 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
2-84-1.1-c5-0-0	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	1.1	$5.0$	$5$	✓	✓		✓	$0$	$0$	$0.812487$	Modular form 84.6.a.c.1.1
2-84-1.1-c5-0-1	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	1.1	$5.0$	$5$	✓	✓		✓	$0$	$0$	$1.14117$	Modular form 84.6.a.c.1.2
2-84-1.1-c5-0-2	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	1.1	$5.0$	$5$	✓	✓		✓	$0$	$0$	$1.26693$	Modular form 84.6.a.d.1.1
2-84-1.1-c5-0-3	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	1.1	$5.0$	$5$	✓	✓		✓	$0$	$0$	$1.58768$	Modular form 84.6.a.d.1.2
2-84-1.1-c5-0-4	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	1.1	$5.0$	$5$	✓	✓	✓	✓	$0.5$	$1$	$2.07201$	Modular form 84.6.a.a Modular form 84.6.a.a.1.1
2-84-1.1-c5-0-5	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	1.1	$5.0$	$5$	✓	✓	✓	✓	$0.5$	$1$	$2.40539$	Modular form 84.6.a.b Modular form 84.6.a.b.1.1
2-84-12.11-c5-0-0	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$5.0$	$5$	✓	✓			$0.250$	$0$	$0.00439549$	Modular form 84.6.e.a.71.36
2-84-12.11-c5-0-1	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$5.0$	$5$	✓	✓			$0.464$	$0$	$0.0192761$	Modular form 84.6.e.a.71.23
2-84-12.11-c5-0-10	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$5.0$	$5$	✓	✓			$-0.170$	$0$	$0.469780$	Modular form 84.6.e.a.71.13
2-84-12.11-c5-0-11	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$5.0$	$5$	✓	✓			$-0.0837$	$0$	$0.473574$	Modular form 84.6.e.a.71.3
2-84-12.11-c5-0-12	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$5.0$	$5$	✓	✓			$-0.392$	$0$	$0.479222$	Modular form 84.6.e.a.71.8
2-84-12.11-c5-0-13	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$5.0$	$5$	✓	✓			$-0.00144$	$0$	$0.654518$	Modular form 84.6.e.a.71.39
2-84-12.11-c5-0-14	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$5.0$	$5$	✓	✓			$-0.230$	$0$	$0.658453$	Modular form 84.6.e.a.71.34
2-84-12.11-c5-0-15	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$5.0$	$5$	✓	✓			$-0.260$	$0$	$0.664596$	Modular form 84.6.e.a.71.20
2-84-12.11-c5-0-16	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$5.0$	$5$	✓	✓			$0.444$	$0$	$0.702132$	Modular form 84.6.e.a.71.26
2-84-12.11-c5-0-17	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$5.0$	$5$	✓	✓			$0.381$	$0$	$0.717882$	Modular form 84.6.e.a.71.42
2-84-12.11-c5-0-18	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$5.0$	$5$	✓	✓			$-0.304$	$0$	$0.730795$	Modular form 84.6.e.a.71.50
2-84-12.11-c5-0-19	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$5.0$	$5$	✓	✓			$-0.388$	$0$	$0.749537$	Modular form 84.6.e.a.71.60
2-84-12.11-c5-0-2	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$5.0$	$5$	✓	✓			$0.262$	$0$	$0.0689251$	Modular form 84.6.e.a.71.12
2-84-12.11-c5-0-20	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$5.0$	$5$	✓	✓			$-0.279$	$0$	$0.787142$	Modular form 84.6.e.a.71.6
2-84-12.11-c5-0-21	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$5.0$	$5$	✓	✓			$-0.258$	$0$	$0.835045$	Modular form 84.6.e.a.71.18
2-84-12.11-c5-0-22	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$5.0$	$5$	✓	✓			$-0.0463$	$0$	$0.841984$	Modular form 84.6.e.a.71.31
2-84-12.11-c5-0-23	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$5.0$	$5$	✓	✓			$-0.0322$	$0$	$1.00694$	Modular form 84.6.e.a.71.9
2-84-12.11-c5-0-24	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$5.0$	$5$	✓	✓			$0.0837$	$0$	$1.03921$	Modular form 84.6.e.a.71.4
2-84-12.11-c5-0-25	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$5.0$	$5$	✓	✓			$-0.393$	$0$	$1.04059$	Modular form 84.6.e.a.71.48
2-84-12.11-c5-0-26	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$5.0$	$5$	✓	✓			$0.230$	$0$	$1.11627$	Modular form 84.6.e.a.71.33
2-84-12.11-c5-0-27	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$5.0$	$5$	✓	✓			$0.113$	$0$	$1.12379$	Modular form 84.6.e.a.71.27
2-84-12.11-c5-0-28	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$5.0$	$5$	✓	✓			$0.258$	$0$	$1.14781$	Modular form 84.6.e.a.71.17
2-84-12.11-c5-0-29	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$5.0$	$5$	✓	✓			$0.170$	$0$	$1.16879$	Modular form 84.6.e.a.71.14
2-84-12.11-c5-0-3	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$5.0$	$5$	✓	✓			$0.486$	$0$	$0.162474$	Modular form 84.6.e.a.71.15
2-84-12.11-c5-0-30	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$5.0$	$5$	✓	✓			$-0.0722$	$0$	$1.18139$	Modular form 84.6.e.a.71.56
2-84-12.11-c5-0-31	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$5.0$	$5$	✓	✓			$-0.183$	$0$	$1.38020$	Modular form 84.6.e.a.71.54
2-84-12.11-c5-0-32	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$5.0$	$5$	✓	✓			$0.00144$	$0$	$1.39381$	Modular form 84.6.e.a.71.40
2-84-12.11-c5-0-33	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$5.0$	$5$	✓	✓			$0.0722$	$0$	$1.40774$	Modular form 84.6.e.a.71.55
2-84-12.11-c5-0-34	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$5.0$	$5$	✓	✓			$-0.113$	$0$	$1.41064$	Modular form 84.6.e.a.71.28
2-84-12.11-c5-0-35	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$5.0$	$5$	✓	✓			$-0.135$	$0$	$1.43553$	Modular form 84.6.e.a.71.57
2-84-12.11-c5-0-36	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$5.0$	$5$	✓	✓			$0.392$	$0$	$1.43631$	Modular form 84.6.e.a.71.7
2-84-12.11-c5-0-37	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$5.0$	$5$	✓	✓			$0.0797$	$0$	$1.43788$	Modular form 84.6.e.a.71.30
2-84-12.11-c5-0-38	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$5.0$	$5$	✓	✓			$0.260$	$0$	$1.45237$	Modular form 84.6.e.a.71.19
2-84-12.11-c5-0-39	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$5.0$	$5$	✓	✓			$0.0322$	$0$	$1.46491$	Modular form 84.6.e.a.71.10
2-84-12.11-c5-0-4	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$5.0$	$5$	✓	✓			$-0.419$	$0$	$0.200672$	Modular form 84.6.e.a.71.2
2-84-12.11-c5-0-40	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$5.0$	$5$	✓	✓			$0.0463$	$0$	$1.50305$	Modular form 84.6.e.a.71.32
2-84-12.11-c5-0-41	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$5.0$	$5$	✓	✓			$0.0456$	$0$	$1.55323$	Modular form 84.6.e.a.71.45
2-84-12.11-c5-0-42	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$5.0$	$5$	✓	✓			$0.279$	$0$	$1.69313$	Modular form 84.6.e.a.71.5
2-84-12.11-c5-0-43	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$5.0$	$5$	✓	✓			$-0.0456$	$0$	$1.83640$	Modular form 84.6.e.a.71.46
2-84-12.11-c5-0-44	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$5.0$	$5$	✓	✓			$-0.486$	$0$	$2.10405$	Modular form 84.6.e.a.71.16
2-84-12.11-c5-0-45	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$5.0$	$5$	✓	✓			$0.304$	$0$	$2.12142$	Modular form 84.6.e.a.71.49
2-84-12.11-c5-0-46	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$5.0$	$5$	✓	✓			$0.135$	$0$	$2.16988$	Modular form 84.6.e.a.71.58
2-84-12.11-c5-0-47	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$5.0$	$5$	✓	✓			$0.419$	$0$	$2.17798$	Modular form 84.6.e.a.71.1
2-84-12.11-c5-0-48	$3.67$	$13.4$	$2$	$2^{2} \cdot 3 \cdot 7$	12.11	$5.0$	$5$	✓	✓			$0.334$	$0$	$2.37118$	Modular form 84.6.e.a.71.22

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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.