Rational L-function search results

Results (1-50 of 1751651 matches)

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	$\epsilon$	$r$	First zero	Origin
2-23-23.22-c0-0-0	$0.107$	$0.0114$	$2$	$23$	23.22	$$	$0.0$	$0$	✓	$1$	$0$	$5.11568$	Artin representation 2.23.3t2.b Artin representation 2.23.3t2.b.a Modular form 23.1.b.a Modular form 23.1.b.a.22.1
2-31-31.30-c0-0-0	$0.124$	$0.0154$	$2$	$31$	31.30	$$	$0.0$	$0$	✓	$1$	$0$	$4.16621$	Artin representation 2.31.3t2.b Artin representation 2.31.3t2.b.a Modular form 31.1.b.a Modular form 31.1.b.a.30.1
2-39-39.38-c0-0-0	$0.139$	$0.0194$	$2$	$3 \cdot 13$	39.38	$$	$0.0$	$0$	✓	$1$	$0$	$4.39582$	Artin representation 2.39.4t3.a Artin representation 2.39.4t3.a.a Modular form 39.1.d.a Modular form 39.1.d.a.38.1
2-44-11.10-c0-0-0	$0.148$	$0.0219$	$2$	$2^{2} \cdot 11$	11.10	$$	$0.0$	$0$	✓	$1$	$0$	$4.04199$	Artin representation 2.44.3t2.b Artin representation 2.44.3t2.b.a Modular form 44.1.d.a Modular form 44.1.d.a.21.1
2-55-55.54-c0-0-0	$0.165$	$0.0274$	$2$	$5 \cdot 11$	55.54	$$	$0.0$	$0$	✓	$1$	$0$	$3.81577$	Artin representation 2.55.4t3.c Artin representation 2.55.4t3.c.a Modular form 55.1.d.a Modular form 55.1.d.a.54.1
2-56-56.13-c0-0-0	$0.167$	$0.0279$	$2$	$2^{3} \cdot 7$	56.13	$$	$0.0$	$0$	✓	$1$	$0$	$3.00942$	Artin representation 2.56.4t3.b Artin representation 2.56.4t3.b.a Modular form 56.1.h.a Modular form 56.1.h.a.13.1
2-59-59.58-c0-0-0	$0.171$	$0.0294$	$2$	$59$	59.58	$$	$0.0$	$0$	✓	$1$	$0$	$3.43180$	Artin representation 2.59.3t2.a Artin representation 2.59.3t2.a.a Modular form 59.1.b.a Modular form 59.1.b.a.58.1
2-63-7.6-c0-0-0	$0.177$	$0.0314$	$2$	$3^{2} \cdot 7$	7.6	$$	$0.0$	$0$	✓	$1$	$0$	$3.51328$	Artin representation 2.63.4t3.a Artin representation 2.63.4t3.a.a Modular form 63.1.d.a Modular form 63.1.d.a.55.1
2-68-68.67-c0-0-0	$0.184$	$0.0339$	$2$	$2^{2} \cdot 17$	68.67	$$	$0.0$	$0$	✓	$1$	$0$	$2.75562$	Artin representation 2.68.4t3.a Artin representation 2.68.4t3.a.a Modular form 68.1.d.a Modular form 68.1.d.a.67.1
2-76-19.18-c0-0-0	$0.194$	$0.0379$	$2$	$2^{2} \cdot 19$	19.18	$$	$0.0$	$0$	✓	$1$	$0$	$3.27623$	Artin representation 2.76.3t2.a Artin representation 2.76.3t2.a.a Modular form 76.1.c.a Modular form 76.1.c.a.37.1
2-80-20.19-c0-0-0	$0.199$	$0.0399$	$2$	$2^{4} \cdot 5$	20.19	$$	$0.0$	$0$	✓	$1$	$0$	$3.18874$	Artin representation 2.80.4t3.a Artin representation 2.80.4t3.a.a Modular form 80.1.h.a Modular form 80.1.h.a.79.1
2-83-83.82-c0-0-0	$0.203$	$0.0414$	$2$	$83$	83.82	$$	$0.0$	$0$	✓	$1$	$0$	$2.91606$	Artin representation 2.83.3t2.a Artin representation 2.83.3t2.a.a Modular form 83.1.b.a Modular form 83.1.b.a.82.1
2-87-87.86-c0-0-0	$0.208$	$0.0434$	$2$	$3 \cdot 29$	87.86	$$	$0.0$	$0$	✓	$1$	$0$	$2.68368$	Artin representation 2.87.3t2.a Artin representation 2.87.3t2.a.a Modular form 87.1.d.a Modular form 87.1.d.a.86.1
2-87-87.86-c0-0-1	$0.208$	$0.0434$	$2$	$3 \cdot 29$	87.86	$$	$0.0$	$0$	✓	$1$	$0$	$3.53215$	Artin representation 2.87.6t3.b Artin representation 2.87.6t3.b.a Modular form 87.1.d.b Modular form 87.1.d.b.86.1
2-95-95.94-c0-0-1	$0.217$	$0.0474$	$2$	$5 \cdot 19$	95.94	$$	$0.0$	$0$	✓	$1$	$0$	$2.87350$	Artin representation 2.95.4t3.c Artin representation 2.95.4t3.c.a Modular form 95.1.d.a Modular form 95.1.d.a.94.1
2-104-104.51-c0-0-0	$0.227$	$0.0519$	$2$	$2^{3} \cdot 13$	104.51	$$	$0.0$	$0$	✓	$1$	$0$	$2.09431$	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	$$	$0.0$	$0$	✓	$1$	$0$	$2.66747$	Artin representation 2.176.6t3.b Artin representation 2.176.6t3.b.a Modular form 176.1.h.a Modular form 176.1.h.a.65.1
2-11-1.1-c1-0-0	$0.296$	$0.0878$	$2$	$11$	1.1	$$	$1.0$	$1$	✓	$1$	$0$	$6.36261$	Elliptic curve 11.a Modular form 11.2.a.a Modular form 11.2.a.a.1.1
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