L-function search results

Lowest zero	Conductor	Analytic conductor	Central character	Analytic rank
Degree	Bad \(p\)	Root analytic conductor	Motivic weight	Spectral label
Root angle	Primitive	Origin	Exclude origin	Self-dual
Arithmetic

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Results (1-50 of )

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	arith	$\mathbb{Q}$	self-dual	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
2-1216-76.7-c0-0-0	$0.779$	$0.606$	$2$	$2^{6} \cdot 19$	76.7	$$	$0.0$	$0$	✓	✓			$0.200$	$0$	$1.50863$	Artin representation 2.1216.16t60.a.d Modular form 1216.1.q.a.767.1
2-1216-76.11-c0-0-1	$0.779$	$0.606$	$2$	$2^{6} \cdot 19$	76.11	$$	$0.0$	$0$	✓	✓			$-0.200$	$0$	$1.10050$	Artin representation 2.1216.16t60.a.a Modular form 1216.1.q.a.1151.2
2-1216-76.11-c0-0-0	$0.779$	$0.606$	$2$	$2^{6} \cdot 19$	76.11	$$	$0.0$	$0$	✓	✓			$-0.200$	$0$	$0.591371$	Artin representation 2.1216.16t60.a.b Modular form 1216.1.q.a.1151.1
2-1216-76.7-c0-0-1	$0.779$	$0.606$	$2$	$2^{6} \cdot 19$	76.7	$$	$0.0$	$0$	✓	✓			$0.200$	$0$	$1.97461$	Artin representation 2.1216.16t60.a.c Modular form 1216.1.q.a.767.2
2-1216-19.18-c0-0-1	$0.779$	$0.606$	$2$	$2^{6} \cdot 19$	19.18	$$	$0.0$	$0$	✓	✓	✓	✓	$0$	$0$	$1.63850$	Artin representation 2.1216.6t3.d Artin representation 2.1216.6t3.d.a Modular form 1216.1.e.b Modular form 1216.1.e.b.1025.1
2-1216-19.18-c0-0-0	$0.779$	$0.606$	$2$	$2^{6} \cdot 19$	19.18	$$	$0.0$	$0$	✓	✓	✓	✓	$0$	$0$	$1.46331$	Artin representation 2.1216.6t3.a Artin representation 2.1216.6t3.a.a Modular form 1216.1.e.a Modular form 1216.1.e.a.1025.1
2-1216-152.69-c0-0-1	$0.779$	$0.606$	$2$	$2^{6} \cdot 19$	152.69	$$	$0.0$	$0$	✓	✓			$0.473$	$0$	$2.09417$	Modular form 1216.1.p.a.1057.1
2-1216-152.69-c0-0-0	$0.779$	$0.606$	$2$	$2^{6} \cdot 19$	152.69	$$	$0.0$	$0$	✓	✓			$-0.276$	$0$	$1.16938$	Modular form 1216.1.p.a.1057.2
2-1216-152.53-c0-0-1	$0.779$	$0.606$	$2$	$2^{6} \cdot 19$	152.53	$$	$0.0$	$0$	✓	✓			$0.144$	$0$	$1.55430$	Modular form 1216.1.bi.a.737.1
2-1216-152.53-c0-0-0	$0.779$	$0.606$	$2$	$2^{6} \cdot 19$	152.53	$$	$0.0$	$0$	✓	✓			$-0.105$	$0$	$1.29478$	Modular form 1216.1.bi.a.737.2
2-1216-152.37-c0-0-5	$0.779$	$0.606$	$2$	$2^{6} \cdot 19$	152.37	$$	$0.0$	$0$	✓	✓			$0.458$	$0$	$2.54668$	Modular form 1216.1.g.b.417.1
2-1216-152.37-c0-0-4	$0.779$	$0.606$	$2$	$2^{6} \cdot 19$	152.37	$$	$0.0$	$0$	✓	✓			$0.208$	$0$	$2.08601$	Modular form 1216.1.g.b.417.2
2-1216-152.37-c0-0-3	$0.779$	$0.606$	$2$	$2^{6} \cdot 19$	152.37	$$	$0.0$	$0$	✓	✓			$0.125$	$0$	$1.62813$	Artin representation 2.1216.8t11.a.a Modular form 1216.1.g.a.417.1
2-1216-152.37-c0-0-2	$0.779$	$0.606$	$2$	$2^{6} \cdot 19$	152.37	$$	$0.0$	$0$	✓	✓			$-0.208$	$0$	$1.06166$	Modular form 1216.1.g.b.417.4
2-1216-152.37-c0-0-1	$0.779$	$0.606$	$2$	$2^{6} \cdot 19$	152.37	$$	$0.0$	$0$	✓	✓			$-0.125$	$0$	$0.973135$	Artin representation 2.1216.8t11.a.b Modular form 1216.1.g.a.417.2
2-1216-152.37-c0-0-0	$0.779$	$0.606$	$2$	$2^{6} \cdot 19$	152.37	$$	$0.0$	$0$	✓	✓			$-0.458$	$0$	$0.292178$	Modular form 1216.1.g.b.417.3
2-1216-152.29-c0-0-1	$0.779$	$0.606$	$2$	$2^{6} \cdot 19$	152.29	$$	$0.0$	$0$	✓	✓			$0.204$	$0$	$2.25824$	Modular form 1216.1.bi.a.865.2
2-1216-152.29-c0-0-0	$0.779$	$0.606$	$2$	$2^{6} \cdot 19$	152.29	$$	$0.0$	$0$	✓	✓			$-0.0453$	$0$	$1.23910$	Modular form 1216.1.bi.a.865.1
2-1216-152.21-c0-0-1	$0.779$	$0.606$	$2$	$2^{6} \cdot 19$	152.21	$$	$0.0$	$0$	✓	✓			$-0.204$	$0$	$1.40818$	Modular form 1216.1.bi.a.97.2
2-1216-152.21-c0-0-0	$0.779$	$0.606$	$2$	$2^{6} \cdot 19$	152.21	$$	$0.0$	$0$	✓	✓			$0.0453$	$0$	$0.874569$	Modular form 1216.1.bi.a.97.1
2-1216-152.141-c0-0-1	$0.779$	$0.606$	$2$	$2^{6} \cdot 19$	152.141	$$	$0.0$	$0$	✓	✓			$0.276$	$0$	$2.21709$	Modular form 1216.1.p.a.673.2
2-1216-152.141-c0-0-0	$0.779$	$0.606$	$2$	$2^{6} \cdot 19$	152.141	$$	$0.0$	$0$	✓	✓			$-0.473$	$0$	$0.497809$	Modular form 1216.1.p.a.673.1
2-1216-152.13-c0-0-1	$0.779$	$0.606$	$2$	$2^{6} \cdot 19$	152.13	$$	$0.0$	$0$	✓	✓			$-0.0415$	$0$	$1.71730$	Modular form 1216.1.bi.a.545.2
2-1216-152.13-c0-0-0	$0.779$	$0.606$	$2$	$2^{6} \cdot 19$	152.13	$$	$0.0$	$0$	✓	✓			$-0.291$	$0$	$0.314884$	Modular form 1216.1.bi.a.545.1
2-1216-152.117-c0-0-1	$0.779$	$0.606$	$2$	$2^{6} \cdot 19$	152.117	$$	$0.0$	$0$	✓	✓			$0.0415$	$0$	$1.69335$	Modular form 1216.1.bi.a.801.2
2-1216-152.117-c0-0-0	$0.779$	$0.606$	$2$	$2^{6} \cdot 19$	152.117	$$	$0.0$	$0$	✓	✓			$0.291$	$0$	$1.62152$	Modular form 1216.1.bi.a.801.1
2-1216-152.109-c0-0-1	$0.779$	$0.606$	$2$	$2^{6} \cdot 19$	152.109	$$	$0.0$	$0$	✓	✓			$0.105$	$0$	$1.52592$	Modular form 1216.1.bi.a.33.2
2-1216-152.109-c0-0-0	$0.779$	$0.606$	$2$	$2^{6} \cdot 19$	152.109	$$	$0.0$	$0$	✓	✓			$-0.144$	$0$	$1.13939$	Modular form 1216.1.bi.a.33.1
2-1216-1.1-c1-0-27	$3.11$	$9.70$	$2$	$2^{6} \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓	✓	✓	$0.5$	$1$	$1.78091$	Elliptic curve 1216.f Modular form 1216.2.a.f Modular form 1216.2.a.f.1.1
2-1216-1.1-c1-0-29	$3.11$	$9.70$	$2$	$2^{6} \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓	✓	✓	$0.5$	$1$	$1.93248$	Elliptic curve 1216.j Modular form 1216.2.a.j Modular form 1216.2.a.j.1.1
2-1216-1.1-c1-0-3	$3.11$	$9.70$	$2$	$2^{6} \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$0.652611$	Elliptic curve 1216.h Modular form 1216.2.a.h Modular form 1216.2.a.h.1.1
2-1216-1.1-c1-0-30	$3.11$	$9.70$	$2$	$2^{6} \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓	✓	✓	$0.5$	$1$	$2.01374$	Elliptic curve 1216.l Modular form 1216.2.a.l Modular form 1216.2.a.l.1.1
2-1216-1.1-c1-0-32	$3.11$	$9.70$	$2$	$2^{6} \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓	✓	✓	$0.5$	$1$	$2.04259$	Elliptic curve 1216.o Modular form 1216.2.a.o Modular form 1216.2.a.o.1.1
2-1216-1.1-c1-0-33	$3.11$	$9.70$	$2$	$2^{6} \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$2.13520$	Modular form 1216.2.a.w.1.4
2-1216-1.1-c1-0-34	$3.11$	$9.70$	$2$	$2^{6} \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓	✓	✓	$0.5$	$1$	$2.16004$	Elliptic curve 1216.m Modular form 1216.2.a.m Modular form 1216.2.a.m.1.1
2-1216-1.1-c1-0-35	$3.11$	$9.70$	$2$	$2^{6} \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$2.34497$	Modular form 1216.2.a.t.1.2
2-1216-1.1-c1-0-4	$3.11$	$9.70$	$2$	$2^{6} \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$0.675256$	Elliptic curve 1216.c Modular form 1216.2.a.c Modular form 1216.2.a.c.1.1
2-1216-1.1-c1-0-5	$3.11$	$9.70$	$2$	$2^{6} \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.739626$	Modular form 1216.2.a.s.1.1
2-1216-1.1-c1-0-6	$3.11$	$9.70$	$2$	$2^{6} \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.930081$	Modular form 1216.2.a.v.1.2
2-1216-1.1-c1-0-7	$3.11$	$9.70$	$2$	$2^{6} \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$0.944005$	Elliptic curve 1216.d Modular form 1216.2.a.d Modular form 1216.2.a.d.1.1
2-1216-1.1-c1-0-8	$3.11$	$9.70$	$2$	$2^{6} \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$1.03106$	Elliptic curve 1216.g Modular form 1216.2.a.g Modular form 1216.2.a.g.1.1
2-1216-1.1-c1-0-9	$3.11$	$9.70$	$2$	$2^{6} \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.08078$	Modular form 1216.2.a.x.1.2
2-1216-152.45-c1-0-10	$3.11$	$9.70$	$2$	$2^{6} \cdot 19$	152.45	$$	$1.0$	$1$	✓	✓			$-0.409$	$0$	$0.567680$	Modular form 1216.2.t.d.1185.2
2-1216-19.11-c1-0-29	$3.11$	$9.70$	$2$	$2^{6} \cdot 19$	19.11	$$	$1.0$	$1$	✓	✓			$0.234$	$0$	$1.56284$	Modular form 1216.2.i.e.961.1
2-1216-8.5-c1-0-26	$3.11$	$9.70$	$2$	$2^{6} \cdot 19$	8.5	$$	$1.0$	$1$	✓	✓			$0.291$	$0$	$1.52143$	Modular form 1216.2.c.h.609.3
2-1216-1.1-c1-0-0	$3.11$	$9.70$	$2$	$2^{6} \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.332417$	Modular form 1216.2.a.v.1.1
2-1216-1.1-c1-0-12	$3.11$	$9.70$	$2$	$2^{6} \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.19533$	Modular form 1216.2.a.x.1.3
2-1216-1.1-c1-0-14	$3.11$	$9.70$	$2$	$2^{6} \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$1.30931$	Modular form 1216.2.a.w.1.1
2-1216-1.1-c1-0-17	$3.11$	$9.70$	$2$	$2^{6} \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.48887$	Modular form 1216.2.a.s.1.2
2-1216-1.1-c1-0-2	$3.11$	$9.70$	$2$	$2^{6} \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.540844$	Modular form 1216.2.a.u.1.2

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