LMFDB - Rational L-function search results

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Results (1-50 of 74 matches)

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	$\epsilon$	$r$	First zero	Origin
4-48e2-1.1-c1e2-0-0	$0.619$	$0.146$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$1.0, 1.0$	$1$		$1$	$0$	$2.09803$	Genus 2 curve 2304.d
4-48e2-1.1-c1e2-0-1	$0.619$	$0.146$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$1.0, 1.0$	$1$		$1$	$0$	$2.44821$	Genus 2 curve 2304.c
4-48e2-1.1-c1e2-0-2	$0.619$	$0.146$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$1.0, 1.0$	$1$		$1$	$0$	$2.52494$	Elliptic curve 2.0.3.1-256.1-CMa Elliptic curve 2.0.3.1-256.1-CMb Elliptic curve 2.2.12.1-16.1-a Hilbert modular form 2.2.12.1-16.1-a Modular form 48.2.c.a
4-48e2-1.1-c1e2-0-3	$0.619$	$0.146$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$1.0, 1.0$	$1$	✓	$-1$	$1$	$2.84592$	Genus 2 curve 2304.a
4-48e2-1.1-c1e2-0-4	$0.619$	$0.146$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$1.0, 1.0$	$1$		$1$	$0$	$3.14826$	Genus 2 curve 2304.b
4-48e2-1.1-c2e2-0-0	$1.14$	$1.71$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$2.0, 2.0$	$2$		$1$	$0$	$1.51516$	Modular form 48.3.e.b
4-48e2-1.1-c2e2-0-1	$1.14$	$1.71$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$2.0, 2.0$	$2$		$1$	$0$	$2.03879$	Modular form 48.3.g.a
4-48e2-1.1-c3e2-0-0	$1.68$	$8.02$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$3.0, 3.0$	$3$		$1$	$0$	$1.16406$	Modular form 48.4.c.a
4-48e2-1.1-c4e2-0-0	$2.22$	$24.6$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$4.0, 4.0$	$4$		$1$	$0$	$0.123040$	Modular form 48.5.g.a
4-48e2-1.1-c4e2-0-1	$2.22$	$24.6$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$4.0, 4.0$	$4$		$1$	$0$	$0.931900$	Modular form 48.5.e.b
4-48e2-1.1-c4e2-0-2	$2.22$	$24.6$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$4.0, 4.0$	$4$		$1$	$0$	$0.962472$	Modular form 48.5.g.b
4-48e2-1.1-c5e2-0-0	$2.77$	$59.2$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$5.0, 5.0$	$5$		$1$	$0$	$0.529857$	Modular form 48.6.c.b
4-48e2-1.1-c5e2-0-1	$2.77$	$59.2$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$5.0, 5.0$	$5$		$1$	$0$	$1.19374$	Modular form 48.6.c.c
4-48e2-1.1-c5e2-0-2	$2.77$	$59.2$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$5.0, 5.0$	$5$		$1$	$2$	$2.01506$	Modular form 48.6.c.a
4-48e2-1.1-c6e2-0-0	$3.32$	$121.$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$6.0, 6.0$	$6$		$1$	$0$	$0.105456$	Modular form 48.7.e.b
4-48e2-1.1-c6e2-0-1	$3.32$	$121.$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$6.0, 6.0$	$6$		$1$	$0$	$0.395033$	Modular form 48.7.g.b
4-48e2-1.1-c6e2-0-2	$3.32$	$121.$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$6.0, 6.0$	$6$		$1$	$0$	$0.453776$	Modular form 48.7.g.a
4-48e2-1.1-c6e2-0-3	$3.32$	$121.$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$6.0, 6.0$	$6$		$1$	$0$	$0.524199$	Modular form 48.7.e.c
4-48e2-1.1-c6e2-0-4	$3.32$	$121.$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$6.0, 6.0$	$6$		$1$	$0$	$1.28406$	Modular form 48.7.g.c
4-48e2-1.1-c7e2-0-0	$3.87$	$224.$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$7.0, 7.0$	$7$		$1$	$0$	$0.773448$	Modular form 48.8.c.a
4-48e2-1.1-c8e2-0-0	$4.42$	$382.$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$8.0, 8.0$	$8$		$1$	$0$	$0.0233807$	Modular form 48.9.g.a
4-48e2-1.1-c8e2-0-1	$4.42$	$382.$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$8.0, 8.0$	$8$		$1$	$0$	$0.342151$	Modular form 48.9.e.d
4-48e2-1.1-c8e2-0-2	$4.42$	$382.$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$8.0, 8.0$	$8$		$1$	$0$	$0.817325$	Modular form 48.9.e.b
4-48e2-1.1-c8e2-0-3	$4.42$	$382.$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$8.0, 8.0$	$8$		$1$	$0$	$0.835353$	Modular form 48.9.g.b
4-48e2-1.1-c8e2-0-4	$4.42$	$382.$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$8.0, 8.0$	$8$		$1$	$0$	$0.880986$	Modular form 48.9.e.c
4-48e2-1.1-c9e2-0-0	$4.97$	$611.$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$9.0, 9.0$	$9$		$1$	$0$	$0.229792$	Modular form 48.10.c.a
4-48e2-1.1-c9e2-0-1	$4.97$	$611.$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$9.0, 9.0$	$9$		$1$	$0$	$0.813228$	Modular form 48.10.a.h
4-48e2-1.1-c10e2-0-0	$5.52$	$930.$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$10.0, 10.0$	$10$		$1$	$0$	$0.0759280$	Modular form 48.11.e.b
4-48e2-1.1-c10e2-0-1	$5.52$	$930.$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$10.0, 10.0$	$10$		$1$	$0$	$0.0975156$	Modular form 48.11.e.c
4-48e2-1.1-c10e2-0-2	$5.52$	$930.$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$10.0, 10.0$	$10$		$1$	$0$	$0.761317$	Modular form 48.11.g.a
4-48e2-1.1-c11e2-0-0	$6.07$	$1.36\times 10^{3}$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$11.0, 11.0$	$11$		$1$	$0$	$0.287984$	Modular form 48.12.a.j
4-48e2-1.1-c11e2-0-1	$6.07$	$1.36\times 10^{3}$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$11.0, 11.0$	$11$		$1$	$0$	$0.343180$	Modular form 48.12.c.a
4-48e2-1.1-c12e2-0-0	$6.62$	$1.92\times 10^{3}$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$12.0, 12.0$	$12$		$1$	$0$	$0.477478$	Modular form 48.13.e.b
4-48e2-1.1-c13e2-0-0	$7.17$	$2.64\times 10^{3}$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$13.0, 13.0$	$13$		$1$	$0$	$0.490432$	Modular form 48.14.a.g
4-48e2-1.1-c13e2-0-1	$7.17$	$2.64\times 10^{3}$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$13.0, 13.0$	$13$		$1$	$0$	$0.547366$	Modular form 48.14.a.i
4-48e2-1.1-c13e2-0-2	$7.17$	$2.64\times 10^{3}$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$13.0, 13.0$	$13$		$1$	$0$	$0.762327$	Modular form 48.14.a.h
4-48e2-1.1-c13e2-0-3	$7.17$	$2.64\times 10^{3}$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$13.0, 13.0$	$13$		$1$	$0$	$0.763063$	Modular form 48.14.c.a
4-48e2-1.1-c13e2-0-4	$7.17$	$2.64\times 10^{3}$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$13.0, 13.0$	$13$		$1$	$2$	$1.29686$	Modular form 48.14.a.f
4-48e2-1.1-c15e2-0-0	$8.27$	$4.69\times 10^{3}$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$15.0, 15.0$	$15$		$1$	$0$	$0.160610$	Modular form 48.16.a.h
4-48e2-1.1-c15e2-0-1	$8.27$	$4.69\times 10^{3}$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$15.0, 15.0$	$15$		$1$	$0$	$0.371992$	Modular form 48.16.c.a
4-48e2-1.1-c15e2-0-2	$8.27$	$4.69\times 10^{3}$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$15.0, 15.0$	$15$		$1$	$0$	$0.633407$	Modular form 48.16.a.j
4-48e2-1.1-c15e2-0-3	$8.27$	$4.69\times 10^{3}$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$15.0, 15.0$	$15$		$1$	$2$	$1.08955$	Modular form 48.16.a.i
4-48e2-1.1-c15e2-0-4	$8.27$	$4.69\times 10^{3}$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$15.0, 15.0$	$15$		$1$	$2$	$1.72909$	Modular form 48.16.a.k
4-48e2-1.1-c17e2-0-0	$9.37$	$7.73\times 10^{3}$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$17.0, 17.0$	$17$		$1$	$0$	$0.306547$	Modular form 48.18.a.h
4-48e2-1.1-c17e2-0-1	$9.37$	$7.73\times 10^{3}$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$17.0, 17.0$	$17$		$1$	$0$	$0.530427$	Modular form 48.18.c.a
4-48e2-1.1-c17e2-0-2	$9.37$	$7.73\times 10^{3}$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$17.0, 17.0$	$17$		$1$	$0$	$0.616608$	Modular form 48.18.a.j
4-48e2-1.1-c17e2-0-3	$9.37$	$7.73\times 10^{3}$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$17.0, 17.0$	$17$		$1$	$2$	$0.962261$	Modular form 48.18.a.g
4-48e2-1.1-c17e2-0-4	$9.37$	$7.73\times 10^{3}$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$17.0, 17.0$	$17$		$1$	$2$	$1.14394$	Modular form 48.18.a.i
4-48e2-1.1-c19e2-0-0	$10.4$	$1.20\times 10^{4}$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$19.0, 19.0$	$19$		$1$	$0$	$0.171111$	Modular form 48.20.c.a
4-48e2-1.1-c19e2-0-1	$10.4$	$1.20\times 10^{4}$	$4$	$2^{8} \cdot 3^{2}$	1.1	$$	$19.0, 19.0$	$19$		$1$	$0$	$0.494928$	Modular form 48.20.a.f

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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.