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	self-dual	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
2-165-165.32-c0-0-0	$0.286$	$0.0823$	$2$	$3 \cdot 5 \cdot 11$	165.32	$$	$0.0$	$0$	✓	✓		$-0.0881$	$0$	$2.09761$	Artin representation 2.165.8t17.c.b Modular form 165.1.l.b.32.1
2-165-165.32-c0-0-1	$0.286$	$0.0823$	$2$	$3 \cdot 5 \cdot 11$	165.32	$$	$0.0$	$0$	✓	✓		$0.161$	$0$	$2.92269$	Artin representation 2.165.8t17.d.b Modular form 165.1.l.a.32.1
2-165-165.98-c0-0-0	$0.286$	$0.0823$	$2$	$3 \cdot 5 \cdot 11$	165.98	$$	$0.0$	$0$	✓	✓		$-0.161$	$0$	$1.47786$	Artin representation 2.165.8t17.d.a Modular form 165.1.l.a.98.1
2-165-165.98-c0-0-1	$0.286$	$0.0823$	$2$	$3 \cdot 5 \cdot 11$	165.98	$$	$0.0$	$0$	✓	✓		$0.0881$	$0$	$2.78769$	Artin representation 2.165.8t17.c.a Modular form 165.1.l.b.98.1
2-165-1.1-c1-0-0	$1.14$	$1.31$	$2$	$3 \cdot 5 \cdot 11$	1.1	$$	$1.0$	$1$	✓	✓	✓	$0$	$0$	$1.45710$	Modular form 165.2.a.b.1.1
2-165-1.1-c1-0-1	$1.14$	$1.31$	$2$	$3 \cdot 5 \cdot 11$	1.1	$$	$1.0$	$1$	✓	✓	✓	$0$	$0$	$1.51833$	Modular form 165.2.a.c.1.1
2-165-1.1-c1-0-2	$1.14$	$1.31$	$2$	$3 \cdot 5 \cdot 11$	1.1	$$	$1.0$	$1$	✓	✓	✓	$0$	$0$	$1.82173$	Modular form 165.2.a.c.1.2
2-165-1.1-c1-0-3	$1.14$	$1.31$	$2$	$3 \cdot 5 \cdot 11$	1.1	$$	$1.0$	$1$	✓	✓	✓	$0.5$	$1$	$2.19032$	Modular form 165.2.a.a.1.1
2-165-1.1-c1-0-4	$1.14$	$1.31$	$2$	$3 \cdot 5 \cdot 11$	1.1	$$	$1.0$	$1$	✓	✓	✓	$0$	$0$	$2.54117$	Modular form 165.2.a.b.1.2
2-165-1.1-c1-0-5	$1.14$	$1.31$	$2$	$3 \cdot 5 \cdot 11$	1.1	$$	$1.0$	$1$	✓	✓	✓	$0$	$0$	$2.77030$	Modular form 165.2.a.c.1.3
2-165-1.1-c1-0-6	$1.14$	$1.31$	$2$	$3 \cdot 5 \cdot 11$	1.1	$$	$1.0$	$1$	✓	✓	✓	$0.5$	$1$	$3.38533$	Modular form 165.2.a.a.1.2
2-165-11.3-c1-0-0	$1.14$	$1.31$	$2$	$3 \cdot 5 \cdot 11$	11.3	$$	$1.0$	$1$	✓	✓		$-0.418$	$0$	$0.430078$	Modular form 165.2.m.c.91.1
2-165-11.3-c1-0-1	$1.14$	$1.31$	$2$	$3 \cdot 5 \cdot 11$	11.3	$$	$1.0$	$1$	✓	✓		$-0.441$	$0$	$0.827252$	Modular form 165.2.m.a.91.1
2-165-11.3-c1-0-2	$1.14$	$1.31$	$2$	$3 \cdot 5 \cdot 11$	11.3	$$	$1.0$	$1$	✓	✓		$-0.222$	$0$	$1.17355$	Modular form 165.2.m.d.91.1
2-165-11.3-c1-0-3	$1.14$	$1.31$	$2$	$3 \cdot 5 \cdot 11$	11.3	$$	$1.0$	$1$	✓	✓		$-0.0359$	$0$	$1.54683$	Modular form 165.2.m.b.91.1
2-165-11.3-c1-0-4	$1.14$	$1.31$	$2$	$3 \cdot 5 \cdot 11$	11.3	$$	$1.0$	$1$	✓	✓		$-0.00533$	$0$	$1.98713$	Modular form 165.2.m.a.91.2
2-165-11.3-c1-0-5	$1.14$	$1.31$	$2$	$3 \cdot 5 \cdot 11$	11.3	$$	$1.0$	$1$	✓	✓		$0.154$	$0$	$2.90990$	Modular form 165.2.m.d.91.2
2-165-11.3-c1-0-6	$1.14$	$1.31$	$2$	$3 \cdot 5 \cdot 11$	11.3	$$	$1.0$	$1$	✓	✓		$0.247$	$0$	$3.14682$	Modular form 165.2.m.c.91.2
2-165-11.3-c1-0-7	$1.14$	$1.31$	$2$	$3 \cdot 5 \cdot 11$	11.3	$$	$1.0$	$1$	✓	✓		$0.243$	$0$	$3.40741$	Modular form 165.2.m.b.91.2
2-165-11.4-c1-0-0	$1.14$	$1.31$	$2$	$3 \cdot 5 \cdot 11$	11.4	$$	$1.0$	$1$	✓	✓		$0.0359$	$0$	$1.25684$	Modular form 165.2.m.b.136.1
2-165-11.4-c1-0-1	$1.14$	$1.31$	$2$	$3 \cdot 5 \cdot 11$	11.4	$$	$1.0$	$1$	✓	✓		$-0.247$	$0$	$1.74123$	Modular form 165.2.m.c.136.2
2-165-11.4-c1-0-2	$1.14$	$1.31$	$2$	$3 \cdot 5 \cdot 11$	11.4	$$	$1.0$	$1$	✓	✓		$0.441$	$0$	$2.20666$	Modular form 165.2.m.a.136.1
2-165-11.4-c1-0-3	$1.14$	$1.31$	$2$	$3 \cdot 5 \cdot 11$	11.4	$$	$1.0$	$1$	✓	✓		$-0.243$	$0$	$2.23419$	Modular form 165.2.m.b.136.2
2-165-11.4-c1-0-4	$1.14$	$1.31$	$2$	$3 \cdot 5 \cdot 11$	11.4	$$	$1.0$	$1$	✓	✓		$-0.154$	$0$	$2.27465$	Modular form 165.2.m.d.136.2
2-165-11.4-c1-0-5	$1.14$	$1.31$	$2$	$3 \cdot 5 \cdot 11$	11.4	$$	$1.0$	$1$	✓	✓		$0.418$	$0$	$2.48496$	Modular form 165.2.m.c.136.1
2-165-11.4-c1-0-6	$1.14$	$1.31$	$2$	$3 \cdot 5 \cdot 11$	11.4	$$	$1.0$	$1$	✓	✓		$0.00533$	$0$	$2.55157$	Modular form 165.2.m.a.136.2
2-165-11.4-c1-0-7	$1.14$	$1.31$	$2$	$3 \cdot 5 \cdot 11$	11.4	$$	$1.0$	$1$	✓	✓		$0.222$	$0$	$2.85066$	Modular form 165.2.m.d.136.1
2-165-11.5-c1-0-0	$1.14$	$1.31$	$2$	$3 \cdot 5 \cdot 11$	11.5	$$	$1.0$	$1$	✓	✓		$-0.469$	$0$	$0.996802$	Modular form 165.2.m.a.16.2
2-165-11.5-c1-0-1	$1.14$	$1.31$	$2$	$3 \cdot 5 \cdot 11$	11.5	$$	$1.0$	$1$	✓	✓		$-0.398$	$0$	$1.73827$	Modular form 165.2.m.b.16.2
2-165-11.5-c1-0-2	$1.14$	$1.31$	$2$	$3 \cdot 5 \cdot 11$	11.5	$$	$1.0$	$1$	✓	✓		$-0.274$	$0$	$1.80265$	Modular form 165.2.m.c.16.2
2-165-11.5-c1-0-3	$1.14$	$1.31$	$2$	$3 \cdot 5 \cdot 11$	11.5	$$	$1.0$	$1$	✓	✓		$-0.0919$	$0$	$1.88268$	Modular form 165.2.m.a.16.1
2-165-11.5-c1-0-4	$1.14$	$1.31$	$2$	$3 \cdot 5 \cdot 11$	11.5	$$	$1.0$	$1$	✓	✓		$-0.0335$	$0$	$2.07205$	Modular form 165.2.m.d.16.2
2-165-11.5-c1-0-5	$1.14$	$1.31$	$2$	$3 \cdot 5 \cdot 11$	11.5	$$	$1.0$	$1$	✓	✓		$0.112$	$0$	$2.13950$	Modular form 165.2.m.b.16.1
2-165-11.5-c1-0-6	$1.14$	$1.31$	$2$	$3 \cdot 5 \cdot 11$	11.5	$$	$1.0$	$1$	✓	✓		$0.0590$	$0$	$2.35387$	Modular form 165.2.m.c.16.1
2-165-11.5-c1-0-7	$1.14$	$1.31$	$2$	$3 \cdot 5 \cdot 11$	11.5	$$	$1.0$	$1$	✓	✓		$0.402$	$0$	$2.74560$	Modular form 165.2.m.d.16.1
2-165-11.9-c1-0-0	$1.14$	$1.31$	$2$	$3 \cdot 5 \cdot 11$	11.9	$$	$1.0$	$1$	✓	✓		$-0.402$	$0$	$1.05318$	Modular form 165.2.m.d.31.1
2-165-11.9-c1-0-1	$1.14$	$1.31$	$2$	$3 \cdot 5 \cdot 11$	11.9	$$	$1.0$	$1$	✓	✓		$0.0335$	$0$	$1.72302$	Modular form 165.2.m.d.31.2
2-165-11.9-c1-0-2	$1.14$	$1.31$	$2$	$3 \cdot 5 \cdot 11$	11.9	$$	$1.0$	$1$	✓	✓		$-0.112$	$0$	$1.85142$	Modular form 165.2.m.b.31.1
2-165-11.9-c1-0-3	$1.14$	$1.31$	$2$	$3 \cdot 5 \cdot 11$	11.9	$$	$1.0$	$1$	✓	✓		$-0.0590$	$0$	$1.90370$	Modular form 165.2.m.c.31.1
2-165-11.9-c1-0-4	$1.14$	$1.31$	$2$	$3 \cdot 5 \cdot 11$	11.9	$$	$1.0$	$1$	✓	✓		$0.0919$	$0$	$1.90735$	Modular form 165.2.m.a.31.1
2-165-11.9-c1-0-5	$1.14$	$1.31$	$2$	$3 \cdot 5 \cdot 11$	11.9	$$	$1.0$	$1$	✓	✓		$0.274$	$0$	$2.78793$	Modular form 165.2.m.c.31.2
2-165-11.9-c1-0-6	$1.14$	$1.31$	$2$	$3 \cdot 5 \cdot 11$	11.9	$$	$1.0$	$1$	✓	✓		$0.469$	$0$	$3.38561$	Modular form 165.2.m.a.31.2
2-165-11.9-c1-0-7	$1.14$	$1.31$	$2$	$3 \cdot 5 \cdot 11$	11.9	$$	$1.0$	$1$	✓	✓		$0.398$	$0$	$3.47861$	Modular form 165.2.m.b.31.2
2-165-15.2-c1-0-0	$1.14$	$1.31$	$2$	$3 \cdot 5 \cdot 11$	15.2	$$	$1.0$	$1$	✓	✓		$-0.370$	$0$	$0.724152$	Modular form 165.2.k.c.122.2
2-165-15.2-c1-0-1	$1.14$	$1.31$	$2$	$3 \cdot 5 \cdot 11$	15.2	$$	$1.0$	$1$	✓	✓		$-0.373$	$0$	$0.957852$	Modular form 165.2.k.c.122.4
2-165-15.2-c1-0-10	$1.14$	$1.31$	$2$	$3 \cdot 5 \cdot 11$	15.2	$$	$1.0$	$1$	✓	✓		$0.130$	$0$	$1.81661$	Modular form 165.2.k.c.122.3
2-165-15.2-c1-0-11	$1.14$	$1.31$	$2$	$3 \cdot 5 \cdot 11$	15.2	$$	$1.0$	$1$	✓	✓		$-0.0639$	$0$	$2.02385$	Modular form 165.2.k.b.122.1
2-165-15.2-c1-0-12	$1.14$	$1.31$	$2$	$3 \cdot 5 \cdot 11$	15.2	$$	$1.0$	$1$	✓	✓		$0.0388$	$0$	$2.19268$	Modular form 165.2.k.d.122.4
2-165-15.2-c1-0-13	$1.14$	$1.31$	$2$	$3 \cdot 5 \cdot 11$	15.2	$$	$1.0$	$1$	✓	✓		$0.107$	$0$	$2.40116$	Modular form 165.2.k.d.122.1
2-165-15.2-c1-0-14	$1.14$	$1.31$	$2$	$3 \cdot 5 \cdot 11$	15.2	$$	$1.0$	$1$	✓	✓		$0.240$	$0$	$2.79723$	Modular form 165.2.k.b.122.2

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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.