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 268 matches)

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	arith	$\mathbb{Q}$	self-dual	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
2-114-1.1-c3-0-0	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	1.1	$$	$3.0$	$3$	✓	✓	✓	✓	$0$	$0$	$0.850172$	Modular form 114.4.a.a Modular form 114.4.a.a.1.1
2-114-1.1-c3-0-1	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	1.1	$$	$3.0$	$3$	✓	✓	✓	✓	$0$	$0$	$1.49397$	Modular form 114.4.a.c Modular form 114.4.a.c.1.1
2-114-1.1-c3-0-2	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	1.1	$$	$3.0$	$3$	✓	✓		✓	$0$	$0$	$1.51985$	Modular form 114.4.a.e.1.1
2-114-1.1-c3-0-3	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	1.1	$$	$3.0$	$3$	✓	✓		✓	$0$	$0$	$1.66820$	Modular form 114.4.a.e.1.2
2-114-1.1-c3-0-4	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	1.1	$$	$3.0$	$3$	✓	✓		✓	$0$	$0$	$1.83367$	Modular form 114.4.a.f.1.1
2-114-1.1-c3-0-5	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	1.1	$$	$3.0$	$3$	✓	✓		✓	$0$	$0$	$1.98966$	Modular form 114.4.a.f.1.2
2-114-1.1-c3-0-6	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	1.1	$$	$3.0$	$3$	✓	✓	✓	✓	$0.5$	$1$	$2.45054$	Modular form 114.4.a.b Modular form 114.4.a.b.1.1
2-114-1.1-c3-0-7	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	1.1	$$	$3.0$	$3$	✓	✓	✓	✓	$0.5$	$1$	$2.87291$	Modular form 114.4.a.d Modular form 114.4.a.d.1.1
2-114-19.11-c3-0-0	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	19.11	$$	$3.0$	$3$	✓	✓			$-0.369$	$0$	$0.0369664$	Modular form 114.4.e.e.49.1
2-114-19.11-c3-0-1	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	19.11	$$	$3.0$	$3$	✓	✓			$0.309$	$0$	$0.0838493$	Modular form 114.4.e.c.49.1
2-114-19.11-c3-0-2	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	19.11	$$	$3.0$	$3$	✓	✓			$-0.406$	$0$	$0.457598$	Modular form 114.4.e.d.49.1
2-114-19.11-c3-0-3	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	19.11	$$	$3.0$	$3$	✓	✓			$-0.173$	$0$	$1.15366$	Modular form 114.4.e.c.49.2
2-114-19.11-c3-0-4	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	19.11	$$	$3.0$	$3$	✓	✓			$-0.0310$	$0$	$1.37244$	Modular form 114.4.e.d.49.2
2-114-19.11-c3-0-5	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	19.11	$$	$3.0$	$3$	✓	✓			$0.197$	$0$	$1.84185$	Modular form 114.4.e.b.49.1
2-114-19.11-c3-0-6	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	19.11	$$	$3.0$	$3$	✓	✓			$0.270$	$0$	$2.27718$	Modular form 114.4.e.d.49.3
2-114-19.11-c3-0-7	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	19.11	$$	$3.0$	$3$	✓	✓			$0.297$	$0$	$2.34122$	Modular form 114.4.e.e.49.2
2-114-19.11-c3-0-8	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	19.11	$$	$3.0$	$3$	✓	✓			$-0.432$	$1$	$2.79763$	Modular form 114.4.e.a.49.1
2-114-19.11-c3-0-9	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	19.11	$$	$3.0$	$3$	✓	✓			$0.405$	$0$	$2.86134$	Modular form 114.4.e.e.49.3
2-114-19.16-c3-0-0	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	19.16	$$	$3.0$	$3$	✓	✓			$-0.484$	$0$	$0.439039$	Modular form 114.4.i.d.73.1
2-114-19.16-c3-0-1	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	19.16	$$	$3.0$	$3$	✓	✓			$-0.107$	$0$	$0.690988$	Modular form 114.4.i.c.73.2
2-114-19.16-c3-0-2	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	19.16	$$	$3.0$	$3$	✓	✓			$-0.269$	$0$	$0.952877$	Modular form 114.4.i.d.73.2
2-114-19.16-c3-0-3	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	19.16	$$	$3.0$	$3$	✓	✓			$-0.234$	$0$	$1.19519$	Modular form 114.4.i.a.73.1
2-114-19.16-c3-0-4	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	19.16	$$	$3.0$	$3$	✓	✓			$0.0528$	$0$	$1.32259$	Modular form 114.4.i.b.73.2
2-114-19.16-c3-0-5	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	19.16	$$	$3.0$	$3$	✓	✓			$0.360$	$0$	$1.60515$	Modular form 114.4.i.c.73.1
2-114-19.16-c3-0-6	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	19.16	$$	$3.0$	$3$	✓	✓			$0.273$	$0$	$1.87634$	Modular form 114.4.i.b.73.1
2-114-19.16-c3-0-7	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	19.16	$$	$3.0$	$3$	✓	✓			$0.0192$	$0$	$2.04343$	Modular form 114.4.i.a.73.2
2-114-19.16-c3-0-8	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	19.16	$$	$3.0$	$3$	✓	✓			$0.444$	$0$	$2.05943$	Modular form 114.4.i.c.73.3
2-114-19.16-c3-0-9	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	19.16	$$	$3.0$	$3$	✓	✓			$0.162$	$0$	$2.13853$	Modular form 114.4.i.d.73.3
2-114-19.17-c3-0-0	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	19.17	$$	$3.0$	$3$	✓	✓			$-0.309$	$0$	$0.0266007$	Modular form 114.4.i.a.55.2
2-114-19.17-c3-0-1	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	19.17	$$	$3.0$	$3$	✓	✓			$-0.302$	$0$	$0.326791$	Modular form 114.4.i.d.55.1
2-114-19.17-c3-0-2	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	19.17	$$	$3.0$	$3$	✓	✓			$-0.372$	$0$	$0.529591$	Modular form 114.4.i.b.55.2
2-114-19.17-c3-0-3	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	19.17	$$	$3.0$	$3$	✓	✓			$-0.0915$	$0$	$0.651500$	Modular form 114.4.i.a.55.1
2-114-19.17-c3-0-4	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	19.17	$$	$3.0$	$3$	✓	✓			$-0.407$	$0$	$0.730292$	Modular form 114.4.i.c.55.2
2-114-19.17-c3-0-5	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	19.17	$$	$3.0$	$3$	✓	✓			$0.0447$	$0$	$1.46649$	Modular form 114.4.i.d.55.3
2-114-19.17-c3-0-6	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	19.17	$$	$3.0$	$3$	✓	✓			$0.0701$	$0$	$1.47927$	Modular form 114.4.i.b.55.1
2-114-19.17-c3-0-7	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	19.17	$$	$3.0$	$3$	✓	✓			$-0.157$	$0$	$1.54960$	Modular form 114.4.i.c.55.3
2-114-19.17-c3-0-8	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	19.17	$$	$3.0$	$3$	✓	✓			$0.263$	$0$	$2.17359$	Modular form 114.4.i.c.55.1
2-114-19.17-c3-0-9	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	19.17	$$	$3.0$	$3$	✓	✓			$0.305$	$0$	$2.22718$	Modular form 114.4.i.d.55.2
2-114-19.4-c3-0-0	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	19.4	$$	$3.0$	$3$	✓	✓			$-0.480$	$0$	$0.171772$	Modular form 114.4.i.d.61.2
2-114-19.4-c3-0-1	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	19.4	$$	$3.0$	$3$	✓	✓			$-0.169$	$0$	$0.563617$	Modular form 114.4.i.a.61.1
2-114-19.4-c3-0-2	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	19.4	$$	$3.0$	$3$	✓	✓			$-0.315$	$0$	$0.625078$	Modular form 114.4.i.b.61.1
2-114-19.4-c3-0-3	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	19.4	$$	$3.0$	$3$	✓	✓			$-0.382$	$0$	$0.731222$	Modular form 114.4.i.c.61.1
2-114-19.4-c3-0-4	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	19.4	$$	$3.0$	$3$	✓	✓			$-0.0927$	$0$	$1.03818$	Modular form 114.4.i.d.61.1
2-114-19.4-c3-0-5	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	19.4	$$	$3.0$	$3$	✓	✓			$-0.272$	$0$	$1.06350$	Modular form 114.4.i.c.61.2
2-114-19.4-c3-0-6	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	19.4	$$	$3.0$	$3$	✓	✓			$0.0664$	$0$	$1.54462$	Modular form 114.4.i.d.61.3
2-114-19.4-c3-0-7	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	19.4	$$	$3.0$	$3$	✓	✓			$0.324$	$0$	$1.94185$	Modular form 114.4.i.a.61.2
2-114-19.4-c3-0-8	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	19.4	$$	$3.0$	$3$	✓	✓			$-0.0436$	$0$	$1.96497$	Modular form 114.4.i.c.61.3
2-114-19.4-c3-0-9	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	19.4	$$	$3.0$	$3$	✓	✓			$0.110$	$0$	$2.11736$	Modular form 114.4.i.b.61.2
2-114-19.5-c3-0-0	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	19.5	$$	$3.0$	$3$	✓	✓			$-0.324$	$0$	$0.761449$	Modular form 114.4.i.a.43.2
2-114-19.5-c3-0-1	$2.59$	$6.72$	$2$	$2 \cdot 3 \cdot 19$	19.5	$$	$3.0$	$3$	✓	✓			$-0.0664$	$0$	$1.22822$	Modular form 114.4.i.d.43.3