LMFDB - L-function search results

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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 at least 1000)

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	arith	$\mathbb{Q}$	self-dual	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
2-855-1.1-c1-0-0	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.509829$	Modular form 855.2.a.g.1.1
2-855-1.1-c1-0-1	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.654631$	Modular form 855.2.a.k.1.1
2-855-1.1-c1-0-10	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.13787$	Modular form 855.2.a.m.1.2
2-855-1.1-c1-0-11	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$1.15112$	Elliptic curve 855.c Modular form 855.2.a.c Modular form 855.2.a.c.1.1
2-855-1.1-c1-0-12	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.16176$	Modular form 855.2.a.e.1.1
2-855-1.1-c1-0-13	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.28883$	Modular form 855.2.a.i.1.3
2-855-1.1-c1-0-14	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$1.51008$	Modular form 855.2.a.h.1.1
2-855-1.1-c1-0-15	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$1.55618$	Modular form 855.2.a.f.1.1
2-855-1.1-c1-0-16	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.56287$	Modular form 855.2.a.k.1.3
2-855-1.1-c1-0-17	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.61613$	Modular form 855.2.a.l.1.3
2-855-1.1-c1-0-18	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$1.65084$	Modular form 855.2.a.d.1.1
2-855-1.1-c1-0-19	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓	✓	✓	$0.5$	$1$	$1.68584$	Elliptic curve 855.b Modular form 855.2.a.b Modular form 855.2.a.b.1.1
2-855-1.1-c1-0-2	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.697660$	Modular form 855.2.a.i.1.2
2-855-1.1-c1-0-20	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.70556$	Modular form 855.2.a.m.1.3
2-855-1.1-c1-0-21	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$1.75196$	Modular form 855.2.a.h.1.2
2-855-1.1-c1-0-22	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$1.76252$	Modular form 855.2.a.j.1.2
2-855-1.1-c1-0-23	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$1.78951$	Modular form 855.2.a.j.1.1
2-855-1.1-c1-0-24	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.79827$	Modular form 855.2.a.g.1.2
2-855-1.1-c1-0-25	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.86175$	Modular form 855.2.a.m.1.4
2-855-1.1-c1-0-26	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$2.06707$	Modular form 855.2.a.d.1.2
2-855-1.1-c1-0-27	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$2.37118$	Modular form 855.2.a.h.1.3
2-855-1.1-c1-0-28	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$2.55116$	Modular form 855.2.a.f.1.2
2-855-1.1-c1-0-29	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$2.60460$	Modular form 855.2.a.j.1.3
2-855-1.1-c1-0-3	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.756703$	Modular form 855.2.a.m.1.1
2-855-1.1-c1-0-4	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.795996$	Modular form 855.2.a.k.1.2
2-855-1.1-c1-0-5	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.861125$	Modular form 855.2.a.l.1.1
2-855-1.1-c1-0-6	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$0.908717$	Elliptic curve 855.a Modular form 855.2.a.a Modular form 855.2.a.a.1.1
2-855-1.1-c1-0-7	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.927071$	Modular form 855.2.a.i.1.1
2-855-1.1-c1-0-8	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.07259$	Modular form 855.2.a.e.1.2
2-855-1.1-c1-0-9	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.10190$	Modular form 855.2.a.l.1.2
2-855-15.2-c1-0-0	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	15.2	$$	$1.0$	$1$	✓	✓			$0.276$	$0$	$0.0573328$	Modular form 855.2.n.e.647.5
2-855-15.2-c1-0-1	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	15.2	$$	$1.0$	$1$	✓	✓			$-0.493$	$0$	$0.0592559$	Modular form 855.2.n.e.647.4
2-855-15.2-c1-0-10	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	15.2	$$	$1.0$	$1$	✓	✓			$-0.188$	$0$	$0.683398$	Modular form 855.2.n.b.647.2
2-855-15.2-c1-0-11	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	15.2	$$	$1.0$	$1$	✓	✓			$-0.0515$	$0$	$0.793283$	Modular form 855.2.n.c.647.3
2-855-15.2-c1-0-12	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	15.2	$$	$1.0$	$1$	✓	✓			$-0.384$	$0$	$0.848882$	Modular form 855.2.n.b.647.1
2-855-15.2-c1-0-13	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	15.2	$$	$1.0$	$1$	✓	✓			$-0.221$	$0$	$0.894924$	Modular form 855.2.n.d.647.7
2-855-15.2-c1-0-14	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	15.2	$$	$1.0$	$1$	✓	✓			$0.0127$	$0$	$0.947935$	Modular form 855.2.n.a.647.1
2-855-15.2-c1-0-15	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	15.2	$$	$1.0$	$1$	✓	✓			$-0.0753$	$0$	$0.953015$	Modular form 855.2.n.e.647.13
2-855-15.2-c1-0-16	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	15.2	$$	$1.0$	$1$	✓	✓			$-0.260$	$0$	$0.986606$	Modular form 855.2.n.e.647.1
2-855-15.2-c1-0-17	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	15.2	$$	$1.0$	$1$	✓	✓			$-0.0443$	$0$	$1.12362$	Modular form 855.2.n.e.647.12
2-855-15.2-c1-0-18	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	15.2	$$	$1.0$	$1$	✓	✓			$-0.0258$	$0$	$1.15176$	Modular form 855.2.n.d.647.4
2-855-15.2-c1-0-19	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	15.2	$$	$1.0$	$1$	✓	✓			$-0.0628$	$0$	$1.24004$	Modular form 855.2.n.e.647.3
2-855-15.2-c1-0-2	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	15.2	$$	$1.0$	$1$	✓	✓			$0.291$	$0$	$0.147151$	Modular form 855.2.n.e.647.2
2-855-15.2-c1-0-20	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	15.2	$$	$1.0$	$1$	✓	✓			$-0.0951$	$0$	$1.26171$	Modular form 855.2.n.d.647.3
2-855-15.2-c1-0-21	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	15.2	$$	$1.0$	$1$	✓	✓			$0.133$	$0$	$1.26303$	Modular form 855.2.n.e.647.16
2-855-15.2-c1-0-22	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	15.2	$$	$1.0$	$1$	✓	✓			$0.154$	$0$	$1.27648$	Modular form 855.2.n.d.647.1
2-855-15.2-c1-0-23	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	15.2	$$	$1.0$	$1$	✓	✓			$-0.160$	$0$	$1.31611$	Modular form 855.2.n.e.647.10
2-855-15.2-c1-0-24	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	15.2	$$	$1.0$	$1$	✓	✓			$0.151$	$0$	$1.33033$	Modular form 855.2.n.e.647.7
2-855-15.2-c1-0-25	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	15.2	$$	$1.0$	$1$	✓	✓			$0.100$	$0$	$1.35886$	Modular form 855.2.n.d.647.8
2-855-15.2-c1-0-26	$2.61$	$6.82$	$2$	$3^{2} \cdot 5 \cdot 19$	15.2	$$	$1.0$	$1$	✓	✓			$0.0806$	$0$	$1.40820$	Modular form 855.2.n.e.647.14

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Elliptic curves over $\Q$
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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.