Rational L-function search results

Results (33 matches)

  Download displayed columns for results to

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	$\epsilon$	$r$	First zero	Origin
2-588-3.2-c0-0-0	$0.541$	$0.293$	$2$	$2^{2} \cdot 3 \cdot 7^{2}$	3.2		$0.0$	0	✓	$1$	$0$	$1.34244$	Artin representation 2.588.6t3.b Artin representation 2.588.6t3.b.a Modular form 588.1.c.a Modular form 588.1.c.a.197.1
2-588-3.2-c0-0-1	$0.541$	$0.293$	$2$	$2^{2} \cdot 3 \cdot 7^{2}$	3.2		$0.0$	0	✓	$1$	$0$	$1.93605$	Artin representation 2.588.3t2.a Artin representation 2.588.3t2.a.a Modular form 588.1.c.b Modular form 588.1.c.b.197.1
2-588-1.1-c1-0-0	$2.16$	$4.69$	$2$	$2^{2} \cdot 3 \cdot 7^{2}$	1.1		$1.0$	$1$	✓	$1$	$0$	$0.972099$	Elliptic curve 588.a Modular form 588.2.a.a Modular form 588.2.a.a.1.1
2-588-1.1-c1-0-1	$2.16$	$4.69$	$2$	$2^{2} \cdot 3 \cdot 7^{2}$	1.1		$1.0$	$1$	✓	$1$	$0$	$1.14653$	Elliptic curve 588.d Modular form 588.2.a.d Modular form 588.2.a.d.1.1
2-588-1.1-c1-0-2	$2.16$	$4.69$	$2$	$2^{2} \cdot 3 \cdot 7^{2}$	1.1		$1.0$	$1$	✓	$1$	$0$	$1.51338$	Elliptic curve 588.e Modular form 588.2.a.e Modular form 588.2.a.e.1.1
2-588-1.1-c1-0-3	$2.16$	$4.69$	$2$	$2^{2} \cdot 3 \cdot 7^{2}$	1.1		$1.0$	$1$	✓	$1$	$0$	$1.52796$	Elliptic curve 588.f Modular form 588.2.a.f Modular form 588.2.a.f.1.1
2-588-1.1-c1-0-4	$2.16$	$4.69$	$2$	$2^{2} \cdot 3 \cdot 7^{2}$	1.1		$1.0$	$1$	✓	$-1$	$1$	$1.96358$	Elliptic curve 588.b Modular form 588.2.a.b Modular form 588.2.a.b.1.1
2-588-1.1-c1-0-5	$2.16$	$4.69$	$2$	$2^{2} \cdot 3 \cdot 7^{2}$	1.1		$1.0$	$1$	✓	$-1$	$1$	$2.08973$	Elliptic curve 588.c Modular form 588.2.a.c Modular form 588.2.a.c.1.1
2-588-3.2-c2-0-10	$4.00$	$16.0$	$2$	$2^{2} \cdot 3 \cdot 7^{2}$	3.2		$2.0$	$2$	✓	$1$	$0$	$0.799187$	Modular form 588.3.c.a Modular form 588.3.c.a.197.1
2-588-3.2-c2-0-16	$4.00$	$16.0$	$2$	$2^{2} \cdot 3 \cdot 7^{2}$	3.2		$2.0$	$2$	✓	$1$	$0$	$1.24346$	Modular form 588.3.c.b Modular form 588.3.c.b.197.1
2-588-3.2-c2-0-17	$4.00$	$16.0$	$2$	$2^{2} \cdot 3 \cdot 7^{2}$	3.2		$2.0$	$2$	✓	$1$	$0$	$1.26331$	Modular form 588.3.c.c Modular form 588.3.c.c.197.1
2-588-1.1-c3-0-1	$5.89$	$34.6$	$2$	$2^{2} \cdot 3 \cdot 7^{2}$	1.1		$3.0$	$3$	✓	$1$	$0$	$0.494551$	Modular form 588.4.a.a Modular form 588.4.a.a.1.1
2-588-1.1-c3-0-18	$5.89$	$34.6$	$2$	$2^{2} \cdot 3 \cdot 7^{2}$	1.1		$3.0$	$3$	✓	$-1$	$1$	$1.75181$	Modular form 588.4.a.d Modular form 588.4.a.d.1.1
2-588-1.1-c3-0-19	$5.89$	$34.6$	$2$	$2^{2} \cdot 3 \cdot 7^{2}$	1.1		$3.0$	$3$	✓	$-1$	$1$	$1.76701$	Modular form 588.4.a.e Modular form 588.4.a.e.1.1
2-588-1.1-c3-0-3	$5.89$	$34.6$	$2$	$2^{2} \cdot 3 \cdot 7^{2}$	1.1		$3.0$	$3$	✓	$1$	$0$	$0.784386$	Modular form 588.4.a.b Modular form 588.4.a.b.1.1
2-588-1.1-c3-0-7	$5.89$	$34.6$	$2$	$2^{2} \cdot 3 \cdot 7^{2}$	1.1		$3.0$	$3$	✓	$1$	$0$	$1.05713$	Modular form 588.4.a.c Modular form 588.4.a.c.1.1
2-588-3.2-c4-0-19	$7.79$	$60.7$	$2$	$2^{2} \cdot 3 \cdot 7^{2}$	3.2		$4.0$	$4$	✓	$1$	$0$	$0.592832$	Modular form 588.5.c.a Modular form 588.5.c.a.197.1
2-588-3.2-c4-0-23	$7.79$	$60.7$	$2$	$2^{2} \cdot 3 \cdot 7^{2}$	3.2		$4.0$	$4$	✓	$1$	$0$	$0.691132$	Modular form 588.5.c.b Modular form 588.5.c.b.197.1
2-588-3.2-c4-0-33	$7.79$	$60.7$	$2$	$2^{2} \cdot 3 \cdot 7^{2}$	3.2		$4.0$	$4$	✓	$1$	$0$	$0.924824$	Modular form 588.5.c.c Modular form 588.5.c.c.197.1
2-588-1.1-c5-0-11	$9.71$	$94.3$	$2$	$2^{2} \cdot 3 \cdot 7^{2}$	1.1		$5.0$	$5$	✓	$1$	$0$	$0.809272$	Modular form 588.6.a.e Modular form 588.6.a.e.1.1
2-588-1.1-c5-0-13	$9.71$	$94.3$	$2$	$2^{2} \cdot 3 \cdot 7^{2}$	1.1		$5.0$	$5$	✓	$1$	$0$	$0.881586$	Modular form 588.6.a.f Modular form 588.6.a.f.1.1
2-588-1.1-c5-0-16	$9.71$	$94.3$	$2$	$2^{2} \cdot 3 \cdot 7^{2}$	1.1		$5.0$	$5$	✓	$-1$	$1$	$1.03333$	Modular form 588.6.a.a Modular form 588.6.a.a.1.1
2-588-1.1-c5-0-24	$9.71$	$94.3$	$2$	$2^{2} \cdot 3 \cdot 7^{2}$	1.1		$5.0$	$5$	✓	$-1$	$1$	$1.32341$	Modular form 588.6.a.d Modular form 588.6.a.d.1.1
2-588-1.1-c5-0-25	$9.71$	$94.3$	$2$	$2^{2} \cdot 3 \cdot 7^{2}$	1.1		$5.0$	$5$	✓	$-1$	$1$	$1.32760$	Modular form 588.6.a.b Modular form 588.6.a.b.1.1
2-588-1.1-c5-0-28	$9.71$	$94.3$	$2$	$2^{2} \cdot 3 \cdot 7^{2}$	1.1		$5.0$	$5$	✓	$-1$	$1$	$1.45243$	Modular form 588.6.a.c Modular form 588.6.a.c.1.1
2-588-3.2-c6-0-27	$11.6$	$135.$	$2$	$2^{2} \cdot 3 \cdot 7^{2}$	3.2		$6.0$	$6$	✓	$1$	$0$	$0.436763$	Modular form 588.7.c.a Modular form 588.7.c.a.197.1
2-588-3.2-c6-0-44	$11.6$	$135.$	$2$	$2^{2} \cdot 3 \cdot 7^{2}$	3.2		$6.0$	$6$	✓	$1$	$0$	$0.727597$	Modular form 588.7.c.b Modular form 588.7.c.b.197.1
2-588-3.2-c6-0-45	$11.6$	$135.$	$2$	$2^{2} \cdot 3 \cdot 7^{2}$	3.2		$6.0$	$6$	✓	$1$	$0$	$0.742977$	Modular form 588.7.c.c Modular form 588.7.c.c.197.1
2-588-3.2-c6-0-55	$11.6$	$135.$	$2$	$2^{2} \cdot 3 \cdot 7^{2}$	3.2		$6.0$	$6$	✓	$1$	$0$	$0.930369$	Modular form 588.7.c.d Modular form 588.7.c.d.197.1
2-588-1.1-c7-0-17	$13.5$	$183.$	$2$	$2^{2} \cdot 3 \cdot 7^{2}$	1.1		$7.0$	$7$	✓	$1$	$0$	$0.748179$	Modular form 588.8.a.b Modular form 588.8.a.b.1.1
2-588-1.1-c7-0-3	$13.5$	$183.$	$2$	$2^{2} \cdot 3 \cdot 7^{2}$	1.1		$7.0$	$7$	✓	$1$	$0$	$0.328354$	Modular form 588.8.a.a Modular form 588.8.a.a.1.1
2-588-1.1-c7-0-38	$13.5$	$183.$	$2$	$2^{2} \cdot 3 \cdot 7^{2}$	1.1		$7.0$	$7$	✓	$-1$	$1$	$1.31369$	Modular form 588.8.a.c Modular form 588.8.a.c.1.1
2-588-1.1-c7-0-45	$13.5$	$183.$	$2$	$2^{2} \cdot 3 \cdot 7^{2}$	1.1		$7.0$	$7$	✓	$-1$	$1$	$1.51494$	Modular form 588.8.a.d Modular form 588.8.a.d.1.1

  Download displayed columns for results to