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 at least 1000)

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	arith	self-dual	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
2-5e4-1.1-c1-0-0	$2.23$	$4.99$	$2$	$5^{4}$	1.1	$$	$1.0$	$1$	✓	✓	✓	$0$	$0$	$0.666392$	Modular form 625.2.a.f.1.4
2-5e4-1.1-c1-0-1	$2.23$	$4.99$	$2$	$5^{4}$	1.1	$$	$1.0$	$1$	✓	✓	✓	$0$	$0$	$0.702788$	Modular form 625.2.a.f.1.2
2-5e4-1.1-c1-0-10	$2.23$	$4.99$	$2$	$5^{4}$	1.1	$$	$1.0$	$1$	✓	✓	✓	$0$	$0$	$1.32604$	Modular form 625.2.a.f.1.5
2-5e4-1.1-c1-0-11	$2.23$	$4.99$	$2$	$5^{4}$	1.1	$$	$1.0$	$1$	✓	✓	✓	$0$	$0$	$1.33065$	Modular form 625.2.a.g.1.1
2-5e4-1.1-c1-0-12	$2.23$	$4.99$	$2$	$5^{4}$	1.1	$$	$1.0$	$1$	✓	✓	✓	$0.5$	$1$	$1.37170$	Modular form 625.2.a.e.1.2
2-5e4-1.1-c1-0-13	$2.23$	$4.99$	$2$	$5^{4}$	1.1	$$	$1.0$	$1$	✓	✓	✓	$0.5$	$1$	$1.39240$	Modular form 625.2.a.e.1.5
2-5e4-1.1-c1-0-14	$2.23$	$4.99$	$2$	$5^{4}$	1.1	$$	$1.0$	$1$	✓	✓	✓	$0$	$0$	$1.46769$	Modular form 625.2.a.g.1.6
2-5e4-1.1-c1-0-15	$2.23$	$4.99$	$2$	$5^{4}$	1.1	$$	$1.0$	$1$	✓	✓	✓	$0$	$0$	$1.60797$	Modular form 625.2.a.g.1.4
2-5e4-1.1-c1-0-16	$2.23$	$4.99$	$2$	$5^{4}$	1.1	$$	$1.0$	$1$	✓	✓	✓	$0.5$	$1$	$1.62168$	Modular form 625.2.a.e.1.1
2-5e4-1.1-c1-0-17	$2.23$	$4.99$	$2$	$5^{4}$	1.1	$$	$1.0$	$1$	✓	✓	✓	$0.5$	$1$	$1.70627$	Modular form 625.2.a.c.1.1
2-5e4-1.1-c1-0-18	$2.23$	$4.99$	$2$	$5^{4}$	1.1	$$	$1.0$	$1$	✓	✓	✓	$0.5$	$1$	$1.89547$	Modular form 625.2.a.e.1.4
2-5e4-1.1-c1-0-19	$2.23$	$4.99$	$2$	$5^{4}$	1.1	$$	$1.0$	$1$	✓	✓	✓	$0$	$0$	$1.91924$	Modular form 625.2.a.f.1.8
2-5e4-1.1-c1-0-2	$2.23$	$4.99$	$2$	$5^{4}$	1.1	$$	$1.0$	$1$	✓	✓	✓	$0$	$0$	$0.719221$	Modular form 625.2.a.f.1.1
2-5e4-1.1-c1-0-20	$2.23$	$4.99$	$2$	$5^{4}$	1.1	$$	$1.0$	$1$	✓	✓	✓	$0.5$	$1$	$1.92322$	Modular form 625.2.a.b.1.1
2-5e4-1.1-c1-0-21	$2.23$	$4.99$	$2$	$5^{4}$	1.1	$$	$1.0$	$1$	✓	✓	✓	$0$	$0$	$2.05048$	Modular form 625.2.a.d.1.2
2-5e4-1.1-c1-0-22	$2.23$	$4.99$	$2$	$5^{4}$	1.1	$$	$1.0$	$1$	✓	✓	✓	$0$	$0$	$2.05491$	Modular form 625.2.a.f.1.7
2-5e4-1.1-c1-0-23	$2.23$	$4.99$	$2$	$5^{4}$	1.1	$$	$1.0$	$1$	✓	✓	✓	$0$	$0$	$2.08756$	Modular form 625.2.a.g.1.8
2-5e4-1.1-c1-0-24	$2.23$	$4.99$	$2$	$5^{4}$	1.1	$$	$1.0$	$1$	✓	✓	✓	$0.5$	$1$	$2.10370$	Modular form 625.2.a.e.1.3
2-5e4-1.1-c1-0-25	$2.23$	$4.99$	$2$	$5^{4}$	1.1	$$	$1.0$	$1$	✓	✓	✓	$0.5$	$1$	$2.20560$	Modular form 625.2.a.a.1.2
2-5e4-1.1-c1-0-26	$2.23$	$4.99$	$2$	$5^{4}$	1.1	$$	$1.0$	$1$	✓	✓	✓	$0.5$	$1$	$2.30024$	Modular form 625.2.a.e.1.8
2-5e4-1.1-c1-0-27	$2.23$	$4.99$	$2$	$5^{4}$	1.1	$$	$1.0$	$1$	✓	✓	✓	$0$	$0$	$2.38695$	Modular form 625.2.a.g.1.7
2-5e4-1.1-c1-0-28	$2.23$	$4.99$	$2$	$5^{4}$	1.1	$$	$1.0$	$1$	✓	✓	✓	$0.5$	$1$	$2.51247$	Modular form 625.2.a.b.1.2
2-5e4-1.1-c1-0-29	$2.23$	$4.99$	$2$	$5^{4}$	1.1	$$	$1.0$	$1$	✓	✓	✓	$0.5$	$1$	$2.52815$	Modular form 625.2.a.e.1.6
2-5e4-1.1-c1-0-3	$2.23$	$4.99$	$2$	$5^{4}$	1.1	$$	$1.0$	$1$	✓	✓	✓	$0$	$0$	$0.779024$	Modular form 625.2.a.g.1.3
2-5e4-1.1-c1-0-30	$2.23$	$4.99$	$2$	$5^{4}$	1.1	$$	$1.0$	$1$	✓	✓	✓	$0.5$	$1$	$2.58187$	Modular form 625.2.a.c.1.2
2-5e4-1.1-c1-0-31	$2.23$	$4.99$	$2$	$5^{4}$	1.1	$$	$1.0$	$1$	✓	✓	✓	$0.5$	$1$	$2.63445$	Modular form 625.2.a.e.1.7
2-5e4-1.1-c1-0-4	$2.23$	$4.99$	$2$	$5^{4}$	1.1	$$	$1.0$	$1$	✓	✓	✓	$0$	$0$	$0.883470$	Modular form 625.2.a.d.1.1
2-5e4-1.1-c1-0-5	$2.23$	$4.99$	$2$	$5^{4}$	1.1	$$	$1.0$	$1$	✓	✓	✓	$0$	$0$	$0.913110$	Modular form 625.2.a.f.1.6
2-5e4-1.1-c1-0-6	$2.23$	$4.99$	$2$	$5^{4}$	1.1	$$	$1.0$	$1$	✓	✓	✓	$0$	$0$	$1.16266$	Modular form 625.2.a.g.1.2
2-5e4-1.1-c1-0-7	$2.23$	$4.99$	$2$	$5^{4}$	1.1	$$	$1.0$	$1$	✓	✓	✓	$0$	$0$	$1.17101$	Modular form 625.2.a.g.1.5
2-5e4-1.1-c1-0-8	$2.23$	$4.99$	$2$	$5^{4}$	1.1	$$	$1.0$	$1$	✓	✓	✓	$0.5$	$1$	$1.25531$	Modular form 625.2.a.a.1.1
2-5e4-1.1-c1-0-9	$2.23$	$4.99$	$2$	$5^{4}$	1.1	$$	$1.0$	$1$	✓	✓	✓	$0$	$0$	$1.27451$	Modular form 625.2.a.f.1.3
2-5e4-125.104-c1-0-0	$2.23$	$4.99$	$2$	$5^{4}$	125.104	$$	$1.0$	$1$	✓	✓		$-0.245$	$0$	$0.0291912$	Modular form 625.2.h.b.274.4
2-5e4-125.104-c1-0-1	$2.23$	$4.99$	$2$	$5^{4}$	125.104	$$	$1.0$	$1$	✓	✓		$-0.447$	$0$	$0.0540960$	Modular form 625.2.h.a.274.6
2-5e4-125.104-c1-0-10	$2.23$	$4.99$	$2$	$5^{4}$	125.104	$$	$1.0$	$1$	✓	✓		$-0.382$	$0$	$0.616956$	Modular form 625.2.h.b.274.15
2-5e4-125.104-c1-0-11	$2.23$	$4.99$	$2$	$5^{4}$	125.104	$$	$1.0$	$1$	✓	✓		$-0.421$	$0$	$0.781885$	Modular form 625.2.h.b.274.19
2-5e4-125.104-c1-0-12	$2.23$	$4.99$	$2$	$5^{4}$	125.104	$$	$1.0$	$1$	✓	✓		$0.279$	$0$	$0.862123$	Modular form 625.2.h.a.274.2
2-5e4-125.104-c1-0-13	$2.23$	$4.99$	$2$	$5^{4}$	125.104	$$	$1.0$	$1$	✓	✓		$-0.483$	$0$	$1.08712$	Modular form 625.2.h.b.274.2
2-5e4-125.104-c1-0-14	$2.23$	$4.99$	$2$	$5^{4}$	125.104	$$	$1.0$	$1$	✓	✓		$-0.246$	$0$	$1.18254$	Modular form 625.2.h.a.274.11
2-5e4-125.104-c1-0-15	$2.23$	$4.99$	$2$	$5^{4}$	125.104	$$	$1.0$	$1$	✓	✓		$-0.278$	$0$	$1.24461$	Modular form 625.2.h.b.274.18
2-5e4-125.104-c1-0-16	$2.23$	$4.99$	$2$	$5^{4}$	125.104	$$	$1.0$	$1$	✓	✓		$-0.0748$	$0$	$1.24528$	Modular form 625.2.h.a.274.8
2-5e4-125.104-c1-0-17	$2.23$	$4.99$	$2$	$5^{4}$	125.104	$$	$1.0$	$1$	✓	✓		$0.0218$	$0$	$1.31664$	Modular form 625.2.h.b.274.13
2-5e4-125.104-c1-0-18	$2.23$	$4.99$	$2$	$5^{4}$	125.104	$$	$1.0$	$1$	✓	✓		$0.196$	$0$	$1.43903$	Modular form 625.2.h.b.274.11
2-5e4-125.104-c1-0-19	$2.23$	$4.99$	$2$	$5^{4}$	125.104	$$	$1.0$	$1$	✓	✓		$-0.307$	$0$	$1.66382$	Modular form 625.2.h.b.274.21
2-5e4-125.104-c1-0-2	$2.23$	$4.99$	$2$	$5^{4}$	125.104	$$	$1.0$	$1$	✓	✓		$-0.0745$	$0$	$0.293675$	Modular form 625.2.h.b.274.1
2-5e4-125.104-c1-0-20	$2.23$	$4.99$	$2$	$5^{4}$	125.104	$$	$1.0$	$1$	✓	✓		$-0.176$	$0$	$1.67034$	Modular form 625.2.h.b.274.17
2-5e4-125.104-c1-0-21	$2.23$	$4.99$	$2$	$5^{4}$	125.104	$$	$1.0$	$1$	✓	✓		$-0.0614$	$0$	$1.70276$	Modular form 625.2.h.a.274.7
2-5e4-125.104-c1-0-22	$2.23$	$4.99$	$2$	$5^{4}$	125.104	$$	$1.0$	$1$	✓	✓		$0.101$	$0$	$1.72935$	Modular form 625.2.h.b.274.22
2-5e4-125.104-c1-0-23	$2.23$	$4.99$	$2$	$5^{4}$	125.104	$$	$1.0$	$1$	✓	✓		$0.0206$	$0$	$1.77015$	Modular form 625.2.h.b.274.12
2-5e4-125.104-c1-0-24	$2.23$	$4.99$	$2$	$5^{4}$	125.104	$$	$1.0$	$1$	✓	✓		$0.206$	$0$	$1.79210$	Modular form 625.2.h.a.274.5

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Classical	Maass
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Elliptic curves over $\Q$
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Genus 2 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.