Rational L-function search results

Results (29 matches)

 

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	$\epsilon$	$r$	First zero	Origin
2-980-20.19-c0-0-1	$0.699$	$0.489$	$2$	$2^{2} \cdot 5 \cdot 7^{2}$	20.19		$0.0$	0	✓	$1$	$0$	$0.826539$	Artin representation 2.980.6t3.b Artin representation 2.980.6t3.b.a Modular form 980.1.f.a Modular form 980.1.f.a.99.1
2-980-20.19-c0-0-3	$0.699$	$0.489$	$2$	$2^{2} \cdot 5 \cdot 7^{2}$	20.19		$0.0$	0	✓	$1$	$0$	$1.61736$	Artin representation 2.980.6t3.e Artin representation 2.980.6t3.e.a Modular form 980.1.f.b Modular form 980.1.f.b.99.1
2-980-20.19-c0-0-4	$0.699$	$0.489$	$2$	$2^{2} \cdot 5 \cdot 7^{2}$	20.19		$0.0$	0	✓	$1$	$0$	$1.68484$	Artin representation 2.980.3t2.a Artin representation 2.980.3t2.a.a Modular form 980.1.f.c Modular form 980.1.f.c.99.1
2-980-20.19-c0-0-6	$0.699$	$0.489$	$2$	$2^{2} \cdot 5 \cdot 7^{2}$	20.19		$0.0$	0	✓	$1$	$0$	$2.01168$	Artin representation 2.980.6t3.f Artin representation 2.980.6t3.f.a Modular form 980.1.f.d Modular form 980.1.f.d.99.1
2-980-1.1-c1-0-0	$2.79$	$7.82$	$2$	$2^{2} \cdot 5 \cdot 7^{2}$	1.1		$1.0$	$1$	✓	$1$	$0$	$0.595071$	Elliptic curve 980.a Modular form 980.2.a.a Modular form 980.2.a.a.1.1
2-980-1.1-c1-0-1	$2.79$	$7.82$	$2$	$2^{2} \cdot 5 \cdot 7^{2}$	1.1		$1.0$	$1$	✓	$1$	$0$	$0.763760$	Elliptic curve 980.b Modular form 980.2.a.b Modular form 980.2.a.b.1.1
2-980-1.1-c1-0-10	$2.79$	$7.82$	$2$	$2^{2} \cdot 5 \cdot 7^{2}$	1.1		$1.0$	$1$	✓	$-1$	$1$	$1.73203$	Elliptic curve 980.c Modular form 980.2.a.c Modular form 980.2.a.c.1.1
2-980-1.1-c1-0-11	$2.79$	$7.82$	$2$	$2^{2} \cdot 5 \cdot 7^{2}$	1.1		$1.0$	$1$	✓	$-1$	$1$	$2.16393$	Elliptic curve 980.f Modular form 980.2.a.f Modular form 980.2.a.f.1.1
2-980-1.1-c1-0-3	$2.79$	$7.82$	$2$	$2^{2} \cdot 5 \cdot 7^{2}$	1.1		$1.0$	$1$	✓	$1$	$0$	$0.982426$	Elliptic curve 980.d Modular form 980.2.a.d Modular form 980.2.a.d.1.1
2-980-1.1-c1-0-4	$2.79$	$7.82$	$2$	$2^{2} \cdot 5 \cdot 7^{2}$	1.1		$1.0$	$1$	✓	$1$	$0$	$1.01545$	Elliptic curve 980.e Modular form 980.2.a.e Modular form 980.2.a.e.1.1
2-980-1.1-c1-0-5	$2.79$	$7.82$	$2$	$2^{2} \cdot 5 \cdot 7^{2}$	1.1		$1.0$	$1$	✓	$1$	$0$	$1.14605$	Elliptic curve 980.g Modular form 980.2.a.g Modular form 980.2.a.g.1.1
2-980-1.1-c1-0-7	$2.79$	$7.82$	$2$	$2^{2} \cdot 5 \cdot 7^{2}$	1.1		$1.0$	$1$	✓	$1$	$0$	$1.37767$	Elliptic curve 980.h Modular form 980.2.a.h Modular form 980.2.a.h.1.1
2-980-1.1-c1-0-8	$2.79$	$7.82$	$2$	$2^{2} \cdot 5 \cdot 7^{2}$	1.1		$1.0$	$1$	✓	$1$	$0$	$1.60608$	Elliptic curve 980.i Modular form 980.2.a.i Modular form 980.2.a.i.1.1
2-980-1.1-c3-0-0	$7.60$	$57.8$	$2$	$2^{2} \cdot 5 \cdot 7^{2}$	1.1		$3.0$	$3$	✓	$1$	$0$	$0.202061$	Modular form 980.4.a.c Modular form 980.4.a.c.1.1
2-980-1.1-c3-0-15	$7.60$	$57.8$	$2$	$2^{2} \cdot 5 \cdot 7^{2}$	1.1		$3.0$	$3$	✓	$1$	$0$	$0.829705$	Modular form 980.4.a.l Modular form 980.4.a.l.1.1
2-980-1.1-c3-0-16	$7.60$	$57.8$	$2$	$2^{2} \cdot 5 \cdot 7^{2}$	1.1		$3.0$	$3$	✓	$1$	$0$	$0.851561$	Modular form 980.4.a.k Modular form 980.4.a.k.1.1
2-980-1.1-c3-0-26	$7.60$	$57.8$	$2$	$2^{2} \cdot 5 \cdot 7^{2}$	1.1		$3.0$	$3$	✓	$-1$	$1$	$1.17539$	Modular form 980.4.a.b Modular form 980.4.a.b.1.1
2-980-1.1-c3-0-28	$7.60$	$57.8$	$2$	$2^{2} \cdot 5 \cdot 7^{2}$	1.1		$3.0$	$3$	✓	$-1$	$1$	$1.28467$	Modular form 980.4.a.d Modular form 980.4.a.d.1.1
2-980-1.1-c3-0-31	$7.60$	$57.8$	$2$	$2^{2} \cdot 5 \cdot 7^{2}$	1.1		$3.0$	$3$	✓	$-1$	$1$	$1.42991$	Modular form 980.4.a.f Modular form 980.4.a.f.1.1
2-980-1.1-c3-0-32	$7.60$	$57.8$	$2$	$2^{2} \cdot 5 \cdot 7^{2}$	1.1		$3.0$	$3$	✓	$-1$	$1$	$1.44293$	Modular form 980.4.a.g Modular form 980.4.a.g.1.1
2-980-1.1-c3-0-34	$7.60$	$57.8$	$2$	$2^{2} \cdot 5 \cdot 7^{2}$	1.1		$3.0$	$3$	✓	$-1$	$1$	$1.61440$	Modular form 980.4.a.j Modular form 980.4.a.j.1.1
2-980-1.1-c3-0-37	$7.60$	$57.8$	$2$	$2^{2} \cdot 5 \cdot 7^{2}$	1.1		$3.0$	$3$	✓	$-1$	$1$	$1.84483$	Modular form 980.4.a.m Modular form 980.4.a.m.1.1
2-980-1.1-c3-0-5	$7.60$	$57.8$	$2$	$2^{2} \cdot 5 \cdot 7^{2}$	1.1		$3.0$	$3$	✓	$1$	$0$	$0.559663$	Modular form 980.4.a.e Modular form 980.4.a.e.1.1
2-980-1.1-c3-0-7	$7.60$	$57.8$	$2$	$2^{2} \cdot 5 \cdot 7^{2}$	1.1		$3.0$	$3$	✓	$1$	$0$	$0.590640$	Modular form 980.4.a.h Modular form 980.4.a.h.1.1
2-980-1.1-c3-0-8	$7.60$	$57.8$	$2$	$2^{2} \cdot 5 \cdot 7^{2}$	1.1		$3.0$	$3$	✓	$1$	$0$	$0.595503$	Modular form 980.4.a.i Modular form 980.4.a.i.1.1
2-980-1.1-c3-0-9	$7.60$	$57.8$	$2$	$2^{2} \cdot 5 \cdot 7^{2}$	1.1		$3.0$	$3$	✓	$1$	$0$	$0.644227$	Modular form 980.4.a.a Modular form 980.4.a.a.1.1
2-980-1.1-c5-0-11	$12.5$	$157.$	$2$	$2^{2} \cdot 5 \cdot 7^{2}$	1.1		$5.0$	$5$	✓	$1$	$0$	$0.479991$	Modular form 980.6.a.b Modular form 980.6.a.b.1.1
2-980-1.1-c5-0-33	$12.5$	$157.$	$2$	$2^{2} \cdot 5 \cdot 7^{2}$	1.1		$5.0$	$5$	✓	$1$	$0$	$0.882544$	Modular form 980.6.a.c Modular form 980.6.a.c.1.1
2-980-1.1-c5-0-65	$12.5$	$157.$	$2$	$2^{2} \cdot 5 \cdot 7^{2}$	1.1		$5.0$	$5$	✓	$1$	$2$	$1.63286$	Modular form 980.6.a.a Modular form 980.6.a.a.1.1