Rational L-function search results

Results (42 matches)

 

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	$\epsilon$	$r$	First zero	Origin
2-75-1.1-c1-0-0	$0.773$	$0.598$	$2$	$3 \cdot 5^{2}$	1.1		$1.0$	$1$	✓	$1$	$0$	$1.90319$	Elliptic curve 75.a Modular form 75.2.a.a Modular form 75.2.a.a.1.1
2-75-1.1-c1-0-1	$0.773$	$0.598$	$2$	$3 \cdot 5^{2}$	1.1		$1.0$	$1$	✓	$1$	$0$	$3.01549$	Elliptic curve 75.b Modular form 75.2.a.b Modular form 75.2.a.b.1.1
2-75-1.1-c1-0-2	$0.773$	$0.598$	$2$	$3 \cdot 5^{2}$	1.1		$1.0$	$1$	✓	$1$	$0$	$3.24466$	Elliptic curve 75.c Modular form 75.2.a.c Modular form 75.2.a.c.1.1
2-75-3.2-c2-0-3	$1.42$	$2.04$	$2$	$3 \cdot 5^{2}$	3.2		$2.0$	$2$	✓	$1$	$0$	$1.80688$	Modular form 75.3.c.a Modular form 75.3.c.a.26.1
2-75-3.2-c2-0-6	$1.42$	$2.04$	$2$	$3 \cdot 5^{2}$	3.2		$2.0$	$2$	✓	$1$	$0$	$2.41569$	Modular form 75.3.c.b Modular form 75.3.c.b.26.1
2-75-1.1-c3-0-1	$2.10$	$4.42$	$2$	$3 \cdot 5^{2}$	1.1		$3.0$	$3$	✓	$1$	$0$	$1.19351$	Modular form 75.4.a.b Modular form 75.4.a.b.1.1
2-75-1.1-c3-0-7	$2.10$	$4.42$	$2$	$3 \cdot 5^{2}$	1.1		$3.0$	$3$	✓	$-1$	$1$	$2.53615$	Modular form 75.4.a.a Modular form 75.4.a.a.1.1
2-75-3.2-c4-0-14	$2.78$	$7.75$	$2$	$3 \cdot 5^{2}$	3.2		$4.0$	$4$	✓	$1$	$0$	$1.86773$	Modular form 75.5.c.b Modular form 75.5.c.b.26.1
2-75-3.2-c4-0-8	$2.78$	$7.75$	$2$	$3 \cdot 5^{2}$	3.2		$4.0$	$4$	✓	$1$	$0$	$1.25521$	Modular form 75.5.c.a Modular form 75.5.c.a.26.1
2-75-1.1-c5-0-13	$3.46$	$12.0$	$2$	$3 \cdot 5^{2}$	1.1		$5.0$	$5$	✓	$-1$	$1$	$2.66970$	Modular form 75.6.a.e Modular form 75.6.a.e.1.1
2-75-1.1-c5-0-14	$3.46$	$12.0$	$2$	$3 \cdot 5^{2}$	1.1		$5.0$	$5$	✓	$-1$	$1$	$2.88777$	Modular form 75.6.a.d Modular form 75.6.a.d.1.1
2-75-1.1-c5-0-5	$3.46$	$12.0$	$2$	$3 \cdot 5^{2}$	1.1		$5.0$	$5$	✓	$1$	$0$	$1.33186$	Modular form 75.6.a.c Modular form 75.6.a.c.1.1
2-75-1.1-c5-0-6	$3.46$	$12.0$	$2$	$3 \cdot 5^{2}$	1.1		$5.0$	$5$	✓	$-1$	$1$	$1.57953$	Modular form 75.6.a.a Modular form 75.6.a.a.1.1
2-75-1.1-c5-0-8	$3.46$	$12.0$	$2$	$3 \cdot 5^{2}$	1.1		$5.0$	$5$	✓	$-1$	$1$	$1.74355$	Modular form 75.6.a.b Modular form 75.6.a.b.1.1
2-75-3.2-c6-0-24	$4.15$	$17.2$	$2$	$3 \cdot 5^{2}$	3.2		$6.0$	$6$	✓	$1$	$0$	$1.60714$	Modular form 75.7.c.a Modular form 75.7.c.a.26.1
2-75-1.1-c7-0-13	$4.84$	$23.4$	$2$	$3 \cdot 5^{2}$	1.1		$7.0$	$7$	✓	$1$	$0$	$1.60130$	Modular form 75.8.a.c Modular form 75.8.a.c.1.1
2-75-1.1-c7-0-17	$4.84$	$23.4$	$2$	$3 \cdot 5^{2}$	1.1		$7.0$	$7$	✓	$-1$	$1$	$1.75070$	Modular form 75.8.a.a Modular form 75.8.a.a.1.1
2-75-1.1-c7-0-22	$4.84$	$23.4$	$2$	$3 \cdot 5^{2}$	1.1		$7.0$	$7$	✓	$-1$	$1$	$2.69494$	Modular form 75.8.a.b Modular form 75.8.a.b.1.1
2-75-3.2-c8-0-25	$5.52$	$30.5$	$2$	$3 \cdot 5^{2}$	3.2		$8.0$	$8$	✓	$1$	$0$	$1.04588$	Modular form 75.9.c.a Modular form 75.9.c.a.26.1
2-75-3.2-c8-0-28	$5.52$	$30.5$	$2$	$3 \cdot 5^{2}$	3.2		$8.0$	$8$	✓	$1$	$0$	$1.22893$	Modular form 75.9.c.b Modular form 75.9.c.b.26.1
2-75-1.1-c9-0-13	$6.21$	$38.6$	$2$	$3 \cdot 5^{2}$	1.1		$9.0$	$9$	✓	$-1$	$1$	$1.11917$	Modular form 75.10.a.b Modular form 75.10.a.b.1.1
2-75-1.1-c9-0-17	$6.21$	$38.6$	$2$	$3 \cdot 5^{2}$	1.1		$9.0$	$9$	✓	$-1$	$1$	$1.45182$	Modular form 75.10.a.c Modular form 75.10.a.c.1.1
2-75-1.1-c9-0-19	$6.21$	$38.6$	$2$	$3 \cdot 5^{2}$	1.1		$9.0$	$9$	✓	$1$	$0$	$1.48847$	Modular form 75.10.a.d Modular form 75.10.a.d.1.1
2-75-1.1-c9-0-7	$6.21$	$38.6$	$2$	$3 \cdot 5^{2}$	1.1		$9.0$	$9$	✓	$1$	$0$	$0.856631$	Modular form 75.10.a.a Modular form 75.10.a.a.1.1
2-75-3.2-c10-0-21	$6.90$	$47.6$	$2$	$3 \cdot 5^{2}$	3.2		$10.0$	$10$	✓	$1$	$0$	$0.608246$	Modular form 75.11.c.a Modular form 75.11.c.a.26.1
2-75-3.2-c10-0-47	$6.90$	$47.6$	$2$	$3 \cdot 5^{2}$	3.2		$10.0$	$10$	✓	$1$	$0$	$1.49326$	Modular form 75.11.c.b Modular form 75.11.c.b.26.1
2-75-1.1-c11-0-26	$7.59$	$57.6$	$2$	$3 \cdot 5^{2}$	1.1		$11.0$	$11$	✓	$-1$	$1$	$1.45251$	Modular form 75.12.a.a Modular form 75.12.a.a.1.1
2-75-1.1-c11-0-32	$7.59$	$57.6$	$2$	$3 \cdot 5^{2}$	1.1		$11.0$	$11$	✓	$-1$	$1$	$2.07780$	Modular form 75.12.a.b Modular form 75.12.a.b.1.1
2-75-3.2-c12-0-47	$8.27$	$68.5$	$2$	$3 \cdot 5^{2}$	3.2		$12.0$	$12$	✓	$1$	$0$	$1.02588$	Modular form 75.13.c.a Modular form 75.13.c.a.26.1
2-75-1.1-c13-0-31	$8.96$	$80.4$	$2$	$3 \cdot 5^{2}$	1.1		$13.0$	$13$	✓	$-1$	$1$	$1.40652$	Modular form 75.14.a.b Modular form 75.14.a.b.1.1
2-75-1.1-c13-0-4	$8.96$	$80.4$	$2$	$3 \cdot 5^{2}$	1.1		$13.0$	$13$	✓	$1$	$0$	$0.477981$	Modular form 75.14.a.a Modular form 75.14.a.a.1.1
2-75-3.2-c14-0-42	$9.65$	$93.2$	$2$	$3 \cdot 5^{2}$	3.2		$14.0$	$14$	✓	$1$	$0$	$0.764360$	Modular form 75.15.c.a Modular form 75.15.c.a.26.1
2-75-3.2-c14-0-59	$9.65$	$93.2$	$2$	$3 \cdot 5^{2}$	3.2		$14.0$	$14$	✓	$1$	$0$	$1.07094$	Modular form 75.15.c.b Modular form 75.15.c.b.26.1
2-75-1.1-c15-0-46	$10.3$	$107.$	$2$	$3 \cdot 5^{2}$	1.1		$15.0$	$15$	✓	$-1$	$1$	$1.90454$	Modular form 75.16.a.b Modular form 75.16.a.b.1.1
2-75-1.1-c15-0-9	$10.3$	$107.$	$2$	$3 \cdot 5^{2}$	1.1		$15.0$	$15$	✓	$1$	$0$	$0.627662$	Modular form 75.16.a.a Modular form 75.16.a.a.1.1
2-75-3.2-c16-0-32	$11.0$	$121.$	$2$	$3 \cdot 5^{2}$	3.2		$16.0$	$16$	✓	$1$	$0$	$0.463098$	Modular form 75.17.c.a Modular form 75.17.c.a.26.1
2-75-3.2-c16-0-79	$11.0$	$121.$	$2$	$3 \cdot 5^{2}$	3.2		$16.0$	$16$	✓	$1$	$0$	$1.26335$	Modular form 75.17.c.b Modular form 75.17.c.b.26.1
2-75-1.1-c17-0-29	$11.7$	$137.$	$2$	$3 \cdot 5^{2}$	1.1		$17.0$	$17$	✓	$1$	$0$	$1.01862$	Modular form 75.18.a.a Modular form 75.18.a.a.1.1
2-75-1.1-c19-0-32	$13.1$	$171.$	$2$	$3 \cdot 5^{2}$	1.1		$19.0$	$19$	✓	$1$	$0$	$0.973983$	Modular form 75.20.a.a Modular form 75.20.a.a.1.1
2-75-1.1-c21-0-10	$14.4$	$209.$	$2$	$3 \cdot 5^{2}$	1.1		$21.0$	$21$	✓	$1$	$0$	$0.413555$	Modular form 75.22.a.a Modular form 75.22.a.a.1.1
2-75-1.1-c21-0-20	$14.4$	$209.$	$2$	$3 \cdot 5^{2}$	1.1		$21.0$	$21$	✓	$-1$	$1$	$0.658396$	Modular form 75.22.a.b Modular form 75.22.a.b.1.1
2-75-1.1-c21-0-49	$14.4$	$209.$	$2$	$3 \cdot 5^{2}$	1.1		$21.0$	$21$	✓	$1$	$0$	$1.15498$	Modular form 75.22.a.c Modular form 75.22.a.c.1.1