LMFDB - Rational L-function search results

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Results (48 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\nu$	$w$	prim	$\epsilon$	$r$	First zero	Origin
2-1680-420.419-c0-0-10	$0.915$	$0.838$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	420.419	$0.0$	0	✓	$1$	$0$	$1.57104$	Artin representation 2.1680.4t3.h Artin representation 2.1680.4t3.h.a Modular form 1680.1.bb.d Modular form 1680.1.bb.d.1679.1
2-1680-420.419-c0-0-2	$0.915$	$0.838$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	420.419	$0.0$	0	✓	$1$	$0$	$0.795795$	Artin representation 2.1680.4t3.e Artin representation 2.1680.4t3.e.a Modular form 1680.1.bb.a Modular form 1680.1.bb.a.1679.1
2-1680-420.419-c0-0-7	$0.915$	$0.838$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	420.419	$0.0$	0	✓	$1$	$0$	$1.29888$	Artin representation 2.1680.4t3.g Artin representation 2.1680.4t3.g.a Modular form 1680.1.bb.b Modular form 1680.1.bb.b.1679.1
2-1680-420.419-c0-0-8	$0.915$	$0.838$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	420.419	$0.0$	0	✓	$1$	$0$	$1.42742$	Artin representation 2.1680.4t3.f Artin representation 2.1680.4t3.f.a Modular form 1680.1.bb.c Modular form 1680.1.bb.c.1679.1
2-1680-1.1-c1-0-0	$3.66$	$13.4$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	1.1	$1.0$	$1$	✓	$1$	$0$	$0.632767$	Elliptic curve 1680.a Modular form 1680.2.a.a Modular form 1680.2.a.a.1.1
2-1680-1.1-c1-0-1	$3.66$	$13.4$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	1.1	$1.0$	$1$	✓	$1$	$0$	$0.740261$	Elliptic curve 1680.b Modular form 1680.2.a.b Modular form 1680.2.a.b.1.1
2-1680-1.1-c1-0-10	$3.66$	$13.4$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	1.1	$1.0$	$1$	✓	$1$	$0$	$1.03754$	Elliptic curve 1680.q Modular form 1680.2.a.q Modular form 1680.2.a.q.1.1
2-1680-1.1-c1-0-11	$3.66$	$13.4$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	1.1	$1.0$	$1$	✓	$1$	$0$	$1.04831$	Elliptic curve 1680.n Modular form 1680.2.a.n Modular form 1680.2.a.n.1.1
2-1680-1.1-c1-0-12	$3.66$	$13.4$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	1.1	$1.0$	$1$	✓	$1$	$0$	$1.05635$	Elliptic curve 1680.o Modular form 1680.2.a.o Modular form 1680.2.a.o.1.1
2-1680-1.1-c1-0-13	$3.66$	$13.4$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	1.1	$1.0$	$1$	✓	$1$	$0$	$1.14962$	Elliptic curve 1680.r Modular form 1680.2.a.r Modular form 1680.2.a.r.1.1
2-1680-1.1-c1-0-14	$3.66$	$13.4$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	1.1	$1.0$	$1$	✓	$1$	$0$	$1.19019$	Elliptic curve 1680.s Modular form 1680.2.a.s Modular form 1680.2.a.s.1.1
2-1680-1.1-c1-0-15	$3.66$	$13.4$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	1.1	$1.0$	$1$	✓	$1$	$0$	$1.22215$	Elliptic curve 1680.t Modular form 1680.2.a.t Modular form 1680.2.a.t.1.1
2-1680-1.1-c1-0-16	$3.66$	$13.4$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	1.1	$1.0$	$1$	✓	$-1$	$1$	$1.50269$	Elliptic curve 1680.c Modular form 1680.2.a.c Modular form 1680.2.a.c.1.1
2-1680-1.1-c1-0-17	$3.66$	$13.4$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	1.1	$1.0$	$1$	✓	$-1$	$1$	$1.63265$	Elliptic curve 1680.f Modular form 1680.2.a.f Modular form 1680.2.a.f.1.1
2-1680-1.1-c1-0-18	$3.66$	$13.4$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	1.1	$1.0$	$1$	✓	$-1$	$1$	$1.65590$	Elliptic curve 1680.g Modular form 1680.2.a.g Modular form 1680.2.a.g.1.1
2-1680-1.1-c1-0-19	$3.66$	$13.4$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	1.1	$1.0$	$1$	✓	$-1$	$1$	$1.69445$	Elliptic curve 1680.h Modular form 1680.2.a.h Modular form 1680.2.a.h.1.1
2-1680-1.1-c1-0-22	$3.66$	$13.4$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	1.1	$1.0$	$1$	✓	$-1$	$1$	$1.91837$	Elliptic curve 1680.m Modular form 1680.2.a.m Modular form 1680.2.a.m.1.1
2-1680-1.1-c1-0-23	$3.66$	$13.4$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	1.1	$1.0$	$1$	✓	$-1$	$1$	$2.09203$	Elliptic curve 1680.p Modular form 1680.2.a.p Modular form 1680.2.a.p.1.1
2-1680-1.1-c1-0-3	$3.66$	$13.4$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	1.1	$1.0$	$1$	✓	$1$	$0$	$0.825713$	Elliptic curve 1680.e Modular form 1680.2.a.e Modular form 1680.2.a.e.1.1
2-1680-1.1-c1-0-4	$3.66$	$13.4$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	1.1	$1.0$	$1$	✓	$1$	$0$	$0.849806$	Elliptic curve 1680.d Modular form 1680.2.a.d Modular form 1680.2.a.d.1.1
2-1680-1.1-c1-0-5	$3.66$	$13.4$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	1.1	$1.0$	$1$	✓	$1$	$0$	$0.959800$	Elliptic curve 1680.i Modular form 1680.2.a.i Modular form 1680.2.a.i.1.1
2-1680-1.1-c1-0-6	$3.66$	$13.4$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	1.1	$1.0$	$1$	✓	$1$	$0$	$0.965500$	Elliptic curve 1680.k Modular form 1680.2.a.k Modular form 1680.2.a.k.1.1
2-1680-1.1-c1-0-8	$3.66$	$13.4$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	1.1	$1.0$	$1$	✓	$1$	$0$	$0.991396$	Elliptic curve 1680.j Modular form 1680.2.a.j Modular form 1680.2.a.j.1.1
2-1680-1.1-c1-0-9	$3.66$	$13.4$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	1.1	$1.0$	$1$	✓	$1$	$0$	$1.02197$	Elliptic curve 1680.l Modular form 1680.2.a.l Modular form 1680.2.a.l.1.1
2-1680-1.1-c3-0-10	$9.95$	$99.1$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	1.1	$3.0$	$3$	✓	$1$	$0$	$0.575289$	Modular form 1680.4.a.c Modular form 1680.4.a.c.1.1
2-1680-1.1-c3-0-12	$9.95$	$99.1$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	1.1	$3.0$	$3$	✓	$1$	$0$	$0.644463$	Modular form 1680.4.a.n Modular form 1680.4.a.n.1.1
2-1680-1.1-c3-0-13	$9.95$	$99.1$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	1.1	$3.0$	$3$	✓	$1$	$0$	$0.645706$	Modular form 1680.4.a.m Modular form 1680.4.a.m.1.1
2-1680-1.1-c3-0-15	$9.95$	$99.1$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	1.1	$3.0$	$3$	✓	$1$	$0$	$0.677369$	Modular form 1680.4.a.g Modular form 1680.4.a.g.1.1
2-1680-1.1-c3-0-19	$9.95$	$99.1$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	1.1	$3.0$	$3$	✓	$1$	$0$	$0.739757$	Modular form 1680.4.a.p Modular form 1680.4.a.p.1.1
2-1680-1.1-c3-0-2	$9.95$	$99.1$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	1.1	$3.0$	$3$	✓	$1$	$0$	$0.375738$	Modular form 1680.4.a.d Modular form 1680.4.a.d.1.1
2-1680-1.1-c3-0-26	$9.95$	$99.1$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	1.1	$3.0$	$3$	✓	$1$	$0$	$0.795396$	Modular form 1680.4.a.j Modular form 1680.4.a.j.1.1
2-1680-1.1-c3-0-29	$9.95$	$99.1$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	1.1	$3.0$	$3$	✓	$1$	$0$	$0.858033$	Modular form 1680.4.a.r Modular form 1680.4.a.r.1.1
2-1680-1.1-c3-0-33	$9.95$	$99.1$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	1.1	$3.0$	$3$	✓	$1$	$0$	$0.904427$	Modular form 1680.4.a.w Modular form 1680.4.a.w.1.1
2-1680-1.1-c3-0-35	$9.95$	$99.1$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	1.1	$3.0$	$3$	✓	$1$	$0$	$0.936941$	Modular form 1680.4.a.l Modular form 1680.4.a.l.1.1
2-1680-1.1-c3-0-41	$9.95$	$99.1$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	1.1	$3.0$	$3$	✓	$-1$	$1$	$1.09940$	Modular form 1680.4.a.a Modular form 1680.4.a.a.1.1
2-1680-1.1-c3-0-42	$9.95$	$99.1$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	1.1	$3.0$	$3$	✓	$-1$	$1$	$1.10832$	Modular form 1680.4.a.b Modular form 1680.4.a.b.1.1
2-1680-1.1-c3-0-43	$9.95$	$99.1$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	1.1	$3.0$	$3$	✓	$1$	$0$	$1.10864$	Modular form 1680.4.a.x Modular form 1680.4.a.x.1.1
2-1680-1.1-c3-0-48	$9.95$	$99.1$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	1.1	$3.0$	$3$	✓	$-1$	$1$	$1.21479$	Modular form 1680.4.a.f Modular form 1680.4.a.f.1.1
2-1680-1.1-c3-0-52	$9.95$	$99.1$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	1.1	$3.0$	$3$	✓	$-1$	$1$	$1.30436$	Modular form 1680.4.a.h Modular form 1680.4.a.h.1.1
2-1680-1.1-c3-0-55	$9.95$	$99.1$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	1.1	$3.0$	$3$	✓	$-1$	$1$	$1.33582$	Modular form 1680.4.a.k Modular form 1680.4.a.k.1.1
2-1680-1.1-c3-0-60	$9.95$	$99.1$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	1.1	$3.0$	$3$	✓	$-1$	$1$	$1.40546$	Modular form 1680.4.a.q Modular form 1680.4.a.q.1.1
2-1680-1.1-c3-0-61	$9.95$	$99.1$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	1.1	$3.0$	$3$	✓	$-1$	$1$	$1.41209$	Modular form 1680.4.a.o Modular form 1680.4.a.o.1.1
2-1680-1.1-c3-0-63	$9.95$	$99.1$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	1.1	$3.0$	$3$	✓	$-1$	$1$	$1.45926$	Modular form 1680.4.a.t Modular form 1680.4.a.t.1.1
2-1680-1.1-c3-0-65	$9.95$	$99.1$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	1.1	$3.0$	$3$	✓	$-1$	$1$	$1.47229$	Modular form 1680.4.a.s Modular form 1680.4.a.s.1.1
2-1680-1.1-c3-0-66	$9.95$	$99.1$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	1.1	$3.0$	$3$	✓	$-1$	$1$	$1.49755$	Modular form 1680.4.a.u Modular form 1680.4.a.u.1.1
2-1680-1.1-c3-0-68	$9.95$	$99.1$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	1.1	$3.0$	$3$	✓	$-1$	$1$	$1.54436$	Modular form 1680.4.a.v Modular form 1680.4.a.v.1.1
2-1680-1.1-c3-0-8	$9.95$	$99.1$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	1.1	$3.0$	$3$	✓	$1$	$0$	$0.561875$	Modular form 1680.4.a.e Modular form 1680.4.a.e.1.1
2-1680-1.1-c3-0-9	$9.95$	$99.1$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 7$	1.1	$3.0$	$3$	✓	$1$	$0$	$0.573797$	Modular form 1680.4.a.i Modular form 1680.4.a.i.1.1

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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.