Rational L-function search results

Results (1-50 of 8027 matches)

 

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	$\epsilon$	$r$	First zero	Origin
2-104-104.51-c0-0-0	$0.227$	$0.0519$	$2$	$2^{3} \cdot 13$	104.51		$0.0$	0	✓	$1$	$0$	$2.09431$	Artin representation 2.104.6t3.a Artin representation 2.104.6t3.a.a Modular form 104.1.h.a Modular form 104.1.h.a.51.1
2-104-104.51-c0-0-1	$0.227$	$0.0519$	$2$	$2^{3} \cdot 13$	104.51		$0.0$	0	✓	$1$	$0$	$3.31991$	Artin representation 2.104.3t2.b Artin representation 2.104.3t2.b.a Modular form 104.1.h.b Modular form 104.1.h.b.51.1
2-107-107.106-c0-0-0	$0.231$	$0.0533$	$2$	$107$	107.106		$0.0$	0	✓	$1$	$0$	$2.61608$	Artin representation 2.107.3t2.a Artin representation 2.107.3t2.a.a Modular form 107.1.b.a Modular form 107.1.b.a.106.1
2-108-3.2-c0-0-0	$0.232$	$0.0538$	$2$	$2^{2} \cdot 3^{3}$	3.2		$0.0$	0	✓	$1$	$0$	$2.82161$	Artin representation 2.108.3t2.b Artin representation 2.108.3t2.b.a Modular form 108.1.c.a Modular form 108.1.c.a.53.1
2-111-111.110-c0-0-1	$0.235$	$0.0553$	$2$	$3 \cdot 37$	111.110		$0.0$	0	✓	$1$	$0$	$3.07636$	Artin representation 2.111.4t3.a Artin representation 2.111.4t3.a.a Modular form 111.1.d.a Modular form 111.1.d.a.110.1
2-116-116.115-c0-0-0	$0.240$	$0.0578$	$2$	$2^{2} \cdot 29$	116.115		$0.0$	0	✓	$1$	$0$	$2.51709$	Artin representation 2.116.6t3.b Artin representation 2.116.6t3.b.a Modular form 116.1.d.a Modular form 116.1.d.a.115.1
2-116-116.115-c0-0-1	$0.240$	$0.0578$	$2$	$2^{2} \cdot 29$	116.115		$0.0$	0	✓	$1$	$0$	$3.11568$	Artin representation 2.116.3t2.a Artin representation 2.116.3t2.a.a Modular form 116.1.d.b Modular form 116.1.d.b.115.1
2-2e7-8.3-c0-0-0	$0.252$	$0.0638$	$2$	$2^{7}$	8.3		$0.0$	0	✓	$1$	$0$	$2.63592$	Artin representation 2.128.4t3.a Artin representation 2.128.4t3.a.a Modular form 128.1.d.a Modular form 128.1.d.a.63.1
2-135-15.14-c0-0-0	$0.259$	$0.0673$	$2$	$3^{3} \cdot 5$	15.14		$0.0$	0	✓	$1$	$0$	$2.04028$	Artin representation 2.135.3t2.b Artin representation 2.135.3t2.b.a Modular form 135.1.d.a Modular form 135.1.d.a.134.1
2-135-15.14-c0-0-1	$0.259$	$0.0673$	$2$	$3^{3} \cdot 5$	15.14		$0.0$	0	✓	$1$	$0$	$3.20668$	Artin representation 2.135.6t3.b Artin representation 2.135.6t3.b.a Modular form 135.1.d.b Modular form 135.1.d.b.134.1
2-136-136.67-c0-0-0	$0.260$	$0.0678$	$2$	$2^{3} \cdot 17$	136.67		$0.0$	0	✓	$1$	$0$	$2.11561$	Artin representation 2.136.4t3.b Artin representation 2.136.4t3.b.a Modular form 136.1.e.a Modular form 136.1.e.a.67.1
2-139-139.138-c0-0-0	$0.263$	$0.0693$	$2$	$139$	139.138		$0.0$	0	✓	$1$	$0$	$2.66179$	Artin representation 2.139.3t2.a Artin representation 2.139.3t2.a.a Modular form 139.1.b.a Modular form 139.1.b.a.138.1
2-140-35.34-c0-0-0	$0.264$	$0.0698$	$2$	$2^{2} \cdot 5 \cdot 7$	35.34		$0.0$	0	✓	$1$	$0$	$2.27790$	Artin representation 2.140.3t2.a Artin representation 2.140.3t2.a.a Modular form 140.1.h.a Modular form 140.1.h.a.69.1
2-140-35.34-c0-0-1	$0.264$	$0.0698$	$2$	$2^{2} \cdot 5 \cdot 7$	35.34		$0.0$	0	✓	$1$	$0$	$2.94378$	Artin representation 2.140.6t3.b Artin representation 2.140.6t3.b.a Modular form 140.1.h.b Modular form 140.1.h.b.69.1
2-12e2-4.3-c0-0-0	$0.268$	$0.0718$	$2$	$2^{4} \cdot 3^{2}$	4.3		$0.0$	0	✓	$1$	$0$	$2.51665$	Artin representation 2.144.4t3.b Artin representation 2.144.4t3.b.a Modular form 144.1.g.a Modular form 144.1.g.a.127.1
2-152-152.37-c0-0-0	$0.275$	$0.0758$	$2$	$2^{3} \cdot 19$	152.37		$0.0$	0	✓	$1$	$0$	$2.38472$	Artin representation 2.152.6t3.a Artin representation 2.152.6t3.a.a Modular form 152.1.g.a Modular form 152.1.g.a.37.1
2-152-152.37-c0-0-1	$0.275$	$0.0758$	$2$	$2^{3} \cdot 19$	152.37		$0.0$	0	✓	$1$	$0$	$2.81196$	Artin representation 2.152.3t2.b Artin representation 2.152.3t2.b.a Modular form 152.1.g.b Modular form 152.1.g.b.37.1
2-155-155.154-c0-0-1	$0.278$	$0.0773$	$2$	$5 \cdot 31$	155.154		$0.0$	0	✓	$1$	$0$	$2.56526$	Artin representation 2.155.4t3.c Artin representation 2.155.4t3.c.a Modular form 155.1.c.a Modular form 155.1.c.a.154.1
2-164-164.163-c0-0-2	$0.286$	$0.0818$	$2$	$2^{2} \cdot 41$	164.163		$0.0$	0	✓	$1$	$0$	$3.06556$	Artin representation 2.164.4t3.c Artin representation 2.164.4t3.c.a Modular form 164.1.d.a Modular form 164.1.d.a.163.1
2-171-19.18-c0-0-0	$0.292$	$0.0853$	$2$	$3^{2} \cdot 19$	19.18		$0.0$	0	✓	$1$	$0$	$2.55662$	Artin representation 2.171.4t3.c Artin representation 2.171.4t3.c.a Modular form 171.1.c.a Modular form 171.1.c.a.37.1
2-172-43.42-c0-0-0	$0.292$	$0.0858$	$2$	$2^{2} \cdot 43$	43.42		$0.0$	0	✓	$1$	$0$	$2.35670$	Artin representation 2.172.3t2.a Artin representation 2.172.3t2.a.a Modular form 172.1.b.a Modular form 172.1.b.a.85.1
2-175-7.6-c0-0-0	$0.295$	$0.0873$	$2$	$5^{2} \cdot 7$	7.6		$0.0$	0	✓	$1$	$0$	$1.81080$	Artin representation 2.175.3t2.b Artin representation 2.175.3t2.b.a Modular form 175.1.d.a Modular form 175.1.d.a.76.1
2-175-7.6-c0-0-1	$0.295$	$0.0873$	$2$	$5^{2} \cdot 7$	7.6		$0.0$	0	✓	$1$	$0$	$2.89897$	Artin representation 2.175.6t3.a Artin representation 2.175.6t3.a.a Modular form 175.1.d.b Modular form 175.1.d.b.76.1
2-176-11.10-c0-0-0	$0.296$	$0.0878$	$2$	$2^{4} \cdot 11$	11.10		$0.0$	0	✓	$1$	$0$	$2.66747$	Artin representation 2.176.6t3.b Artin representation 2.176.6t3.b.a Modular form 176.1.h.a Modular form 176.1.h.a.65.1
2-183-183.182-c0-0-1	$0.302$	$0.0913$	$2$	$3 \cdot 61$	183.182		$0.0$	0	✓	$1$	$0$	$2.48484$	Artin representation 2.183.4t3.a Artin representation 2.183.4t3.a.a Modular form 183.1.d.a Modular form 183.1.d.a.182.1
2-184-184.45-c0-0-0	$0.303$	$0.0918$	$2$	$2^{3} \cdot 23$	184.45		$0.0$	0	✓	$1$	$0$	$1.92065$	Artin representation 2.184.4t3.c Artin representation 2.184.4t3.c.a Modular form 184.1.e.a Modular form 184.1.e.a.45.1
2-14e2-4.3-c0-0-0	$0.312$	$0.0978$	$2$	$2^{2} \cdot 7^{2}$	4.3		$0.0$	0	✓	$1$	$0$	$1.88434$	Artin representation 2.196.4t3.a Artin representation 2.196.4t3.a.a Modular form 196.1.c.a Modular form 196.1.c.a.99.1
2-199-199.198-c0-0-1	$0.315$	$0.0993$	$2$	$199$	199.198		$0.0$	0	✓	$1$	$0$	$1.67161$	Artin representation 2.199.3t2.a Artin representation 2.199.3t2.a.a Modular form 199.1.b.a Modular form 199.1.b.a.198.1
2-200-8.3-c0-0-0	$0.315$	$0.0998$	$2$	$2^{3} \cdot 5^{2}$	8.3		$0.0$	0	✓	$1$	$0$	$2.22404$	Artin representation 2.200.6t3.a Artin representation 2.200.6t3.a.a Modular form 200.1.g.a Modular form 200.1.g.a.51.1
2-200-8.3-c0-0-1	$0.315$	$0.0998$	$2$	$2^{3} \cdot 5^{2}$	8.3		$0.0$	0	✓	$1$	$0$	$2.52234$	Artin representation 2.200.3t2.b Artin representation 2.200.3t2.b.a Modular form 200.1.g.b Modular form 200.1.g.b.51.1
2-203-203.202-c0-0-0	$0.318$	$0.101$	$2$	$7 \cdot 29$	203.202		$0.0$	0	✓	$1$	$0$	$2.43025$	Artin representation 2.203.4t3.a Artin representation 2.203.4t3.a.a Modular form 203.1.c.a Modular form 203.1.c.a.202.1
2-204-51.50-c0-0-0	$0.319$	$0.101$	$2$	$2^{2} \cdot 3 \cdot 17$	51.50		$0.0$	0	✓	$1$	$0$	$1.98291$	Artin representation 2.204.6t3.a Artin representation 2.204.6t3.a.a Modular form 204.1.g.a Modular form 204.1.g.a.101.1
2-204-51.50-c0-0-1	$0.319$	$0.101$	$2$	$2^{2} \cdot 3 \cdot 17$	51.50		$0.0$	0	✓	$1$	$0$	$2.51256$	Artin representation 2.204.3t2.a Artin representation 2.204.3t2.a.a Modular form 204.1.g.b Modular form 204.1.g.b.101.1
2-207-23.22-c0-0-0	$0.321$	$0.103$	$2$	$3^{2} \cdot 23$	23.22		$0.0$	0	✓	$1$	$0$	$2.70040$	Artin representation 2.207.6t3.a Artin representation 2.207.6t3.a.a Modular form 207.1.d.a Modular form 207.1.d.a.91.1
2-208-52.51-c0-0-0	$0.322$	$0.103$	$2$	$2^{4} \cdot 13$	52.51		$0.0$	0	✓	$1$	$0$	$2.20467$	Artin representation 2.208.4t3.c Artin representation 2.208.4t3.c.a Modular form 208.1.c.a Modular form 208.1.c.a.207.1
4-13e2-1.1-c1e2-0-0	$0.322$	$0.0107$	$4$	$13^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$5.06823$	Genus 2 curve 169.a Modular form 13.2.e.a
2-211-211.210-c0-0-0	$0.324$	$0.105$	$2$	$211$	211.210		$0.0$	0	✓	$1$	$0$	$2.29906$	Artin representation 2.211.3t2.a Artin representation 2.211.3t2.a.a Modular form 211.1.b.a Modular form 211.1.b.a.210.1
2-212-212.211-c0-0-0	$0.325$	$0.105$	$2$	$2^{2} \cdot 53$	212.211		$0.0$	0	✓	$1$	$0$	$2.18792$	Artin representation 2.212.6t3.b Artin representation 2.212.6t3.b.a Modular form 212.1.d.a Modular form 212.1.d.a.211.1
2-212-212.211-c0-0-1	$0.325$	$0.105$	$2$	$2^{2} \cdot 53$	212.211		$0.0$	0	✓	$1$	$0$	$2.46540$	Artin representation 2.212.3t2.a Artin representation 2.212.3t2.a.a Modular form 212.1.d.b Modular form 212.1.d.b.211.1
2-6e3-24.5-c0-0-0	$0.328$	$0.107$	$2$	$2^{3} \cdot 3^{3}$	24.5		$0.0$	0	✓	$1$	$0$	$1.90671$	Artin representation 2.216.6t3.b Artin representation 2.216.6t3.b.a Modular form 216.1.h.a Modular form 216.1.h.a.53.1
2-6e3-24.5-c0-0-1	$0.328$	$0.107$	$2$	$2^{3} \cdot 3^{3}$	24.5		$0.0$	0	✓	$1$	$0$	$2.79656$	Artin representation 2.216.3t2.b Artin representation 2.216.3t2.b.a Modular form 216.1.h.b Modular form 216.1.h.b.53.1
2-219-219.218-c0-0-0	$0.330$	$0.109$	$2$	$3 \cdot 73$	219.218		$0.0$	0	✓	$1$	$0$	$2.02140$	Artin representation 2.219.4t3.c Artin representation 2.219.4t3.c.a Modular form 219.1.c.a Modular form 219.1.c.a.218.1
2-224-56.13-c0-0-0	$0.334$	$0.111$	$2$	$2^{5} \cdot 7$	56.13		$0.0$	0	✓	$1$	$0$	$2.16883$	Artin representation 2.224.4t3.a Artin representation 2.224.4t3.a.a Modular form 224.1.h.a Modular form 224.1.h.a.209.1
4-14e2-1.1-c1e2-0-0	$0.334$	$0.0124$	$4$	$2^{2} \cdot 7^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$5.57928$	Genus 2 curve 196.a
2-231-231.230-c0-0-0	$0.339$	$0.115$	$2$	$3 \cdot 7 \cdot 11$	231.230		$0.0$	0	✓	$1$	$0$	$1.42432$	Artin representation 2.231.6t3.c Artin representation 2.231.6t3.c.a Modular form 231.1.h.a Modular form 231.1.h.a.230.1
2-231-231.230-c0-0-1	$0.339$	$0.115$	$2$	$3 \cdot 7 \cdot 11$	231.230		$0.0$	0	✓	$1$	$0$	$1.84481$	Artin representation 2.231.3t2.a Artin representation 2.231.3t2.a.a Modular form 231.1.h.b Modular form 231.1.h.b.230.1
2-231-231.230-c0-0-2	$0.339$	$0.115$	$2$	$3 \cdot 7 \cdot 11$	231.230		$0.0$	0	✓	$1$	$0$	$2.30109$	Artin representation 2.231.6t3.e Artin representation 2.231.6t3.e.a Modular form 231.1.h.c Modular form 231.1.h.c.230.1
2-231-231.230-c0-0-3	$0.339$	$0.115$	$2$	$3 \cdot 7 \cdot 11$	231.230		$0.0$	0	✓	$1$	$0$	$3.03996$	Artin representation 2.231.6t3.a Artin representation 2.231.6t3.a.a Modular form 231.1.h.d Modular form 231.1.h.d.230.1
2-239-239.238-c0-0-3	$0.345$	$0.119$	$2$	$239$	239.238		$0.0$	0	✓	$1$	$0$	$2.12721$	Artin representation 2.239.3t2.a Artin representation 2.239.3t2.a.a Modular form 239.1.b.a Modular form 239.1.b.a.238.1
2-3e5-3.2-c0-0-0	$0.348$	$0.121$	$2$	$3^{5}$	3.2		$0.0$	0	✓	$1$	$0$	$2.29360$	Artin representation 2.243.3t2.b Artin representation 2.243.3t2.b.a Modular form 243.1.b.a Modular form 243.1.b.a.242.1