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
2-260-1.1-c1-0-0	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.18090$	Modular form 260.2.a.b.1.1
2-260-1.1-c1-0-1	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	1.1	$$	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$1.87254$	Elliptic curve 260.a Modular form 260.2.a.a Modular form 260.2.a.a.1.1
2-260-1.1-c1-0-2	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.91481$	Modular form 260.2.a.b.1.2
2-260-1.1-c1-0-3	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0$	$0$	$2.17160$	Modular form 260.2.a.b.1.3
2-260-13.10-c1-0-0	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	13.10	$$	$1.0$	$1$	✓	✓			$-0.220$	$0$	$1.35036$	Modular form 260.2.x.a.101.4
2-260-13.10-c1-0-1	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	13.10	$$	$1.0$	$1$	✓	✓			$0.0862$	$0$	$1.61517$	Modular form 260.2.x.a.101.2
2-260-13.10-c1-0-2	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	13.10	$$	$1.0$	$1$	✓	✓			$0.0655$	$0$	$1.79395$	Modular form 260.2.x.a.101.3
2-260-13.10-c1-0-3	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	13.10	$$	$1.0$	$1$	✓	✓			$0.487$	$0$	$2.93506$	Modular form 260.2.x.a.101.1
2-260-13.12-c1-0-0	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	13.12	$$	$1.0$	$1$	✓	✓			$-0.306$	$0$	$0.440460$	Modular form 260.2.f.a.181.1
2-260-13.12-c1-0-1	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	13.12	$$	$1.0$	$1$	✓	✓			$-0.220$	$0$	$0.894464$	Modular form 260.2.f.a.181.4
2-260-13.12-c1-0-2	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	13.12	$$	$1.0$	$1$	✓	✓			$0.306$	$0$	$1.93901$	Modular form 260.2.f.a.181.2
2-260-13.12-c1-0-3	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	13.12	$$	$1.0$	$1$	✓	✓			$-0.00737$	$0$	$1.96234$	Modular form 260.2.f.a.181.5
2-260-13.12-c1-0-4	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	13.12	$$	$1.0$	$1$	✓	✓			$0.00737$	$0$	$2.10439$	Modular form 260.2.f.a.181.6
2-260-13.12-c1-0-5	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	13.12	$$	$1.0$	$1$	✓	✓			$0.220$	$0$	$2.22453$	Modular form 260.2.f.a.181.3
2-260-13.3-c1-0-0	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	13.3	$$	$1.0$	$1$	✓	✓			$-0.247$	$0$	$0.938552$	Modular form 260.2.i.c.81.1
2-260-13.3-c1-0-1	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	13.3	$$	$1.0$	$1$	✓	✓			$-0.247$	$0$	$1.38598$	Modular form 260.2.i.d.81.1
2-260-13.3-c1-0-2	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	13.3	$$	$1.0$	$1$	✓	✓			$0.162$	$0$	$1.97844$	Modular form 260.2.i.b.81.1
2-260-13.3-c1-0-3	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	13.3	$$	$1.0$	$1$	✓	✓			$0.252$	$0$	$2.15027$	Modular form 260.2.i.a.81.1
2-260-13.4-c1-0-0	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	13.4	$$	$1.0$	$1$	✓	✓			$-0.487$	$0$	$0.495002$	Modular form 260.2.x.a.121.1
2-260-13.4-c1-0-1	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	13.4	$$	$1.0$	$1$	✓	✓			$-0.0655$	$0$	$1.38241$	Modular form 260.2.x.a.121.3
2-260-13.4-c1-0-2	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	13.4	$$	$1.0$	$1$	✓	✓			$-0.0862$	$0$	$1.39986$	Modular form 260.2.x.a.121.2
2-260-13.4-c1-0-3	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	13.4	$$	$1.0$	$1$	✓	✓			$0.220$	$0$	$2.45996$	Modular form 260.2.x.a.121.4
2-260-13.9-c1-0-0	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	13.9	$$	$1.0$	$1$	✓	✓			$-0.252$	$0$	$0.856557$	Modular form 260.2.i.a.61.1
2-260-13.9-c1-0-1	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	13.9	$$	$1.0$	$1$	✓	✓			$-0.162$	$0$	$1.17743$	Modular form 260.2.i.b.61.1
2-260-13.9-c1-0-2	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	13.9	$$	$1.0$	$1$	✓	✓			$0.247$	$0$	$2.37637$	Modular form 260.2.i.c.61.1
2-260-13.9-c1-0-3	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	13.9	$$	$1.0$	$1$	✓	✓			$0.247$	$0$	$2.82742$	Modular form 260.2.i.d.61.1
2-260-20.3-c1-0-0	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	20.3	$$	$1.0$	$1$	✓	✓			$0.332$	$0$	$0.225754$	Modular form 260.2.o.a.183.19
2-260-20.3-c1-0-1	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	20.3	$$	$1.0$	$1$	✓	✓			$-0.268$	$0$	$0.258063$	Modular form 260.2.o.a.183.10
2-260-20.3-c1-0-10	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	20.3	$$	$1.0$	$1$	✓	✓			$0.0368$	$0$	$1.22168$	Modular form 260.2.o.a.183.14
2-260-20.3-c1-0-11	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	20.3	$$	$1.0$	$1$	✓	✓			$-0.164$	$0$	$1.22772$	Modular form 260.2.o.a.183.35
2-260-20.3-c1-0-12	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	20.3	$$	$1.0$	$1$	✓	✓			$-0.269$	$0$	$1.24307$	Modular form 260.2.o.a.183.20
2-260-20.3-c1-0-13	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	20.3	$$	$1.0$	$1$	✓	✓			$0.0949$	$0$	$1.27827$	Modular form 260.2.o.a.183.12
2-260-20.3-c1-0-14	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	20.3	$$	$1.0$	$1$	✓	✓			$-0.0788$	$0$	$1.38604$	Modular form 260.2.o.a.183.5
2-260-20.3-c1-0-15	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	20.3	$$	$1.0$	$1$	✓	✓			$0.316$	$0$	$1.39708$	Modular form 260.2.o.a.183.13
2-260-20.3-c1-0-16	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	20.3	$$	$1.0$	$1$	✓	✓			$0.189$	$0$	$1.40048$	Modular form 260.2.o.a.183.4
2-260-20.3-c1-0-17	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	20.3	$$	$1.0$	$1$	✓	✓			$-0.230$	$0$	$1.40687$	Modular form 260.2.o.a.183.33
2-260-20.3-c1-0-18	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	20.3	$$	$1.0$	$1$	✓	✓			$0.000467$	$0$	$1.54976$	Modular form 260.2.o.a.183.11
2-260-20.3-c1-0-19	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	20.3	$$	$1.0$	$1$	✓	✓			$-0.117$	$0$	$1.55016$	Modular form 260.2.o.a.183.16
2-260-20.3-c1-0-2	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	20.3	$$	$1.0$	$1$	✓	✓			$0.389$	$0$	$0.330590$	Modular form 260.2.o.a.183.26
2-260-20.3-c1-0-20	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	20.3	$$	$1.0$	$1$	✓	✓			$-0.120$	$0$	$1.64481$	Modular form 260.2.o.a.183.36
2-260-20.3-c1-0-21	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	20.3	$$	$1.0$	$1$	✓	✓			$-0.116$	$0$	$1.96787$	Modular form 260.2.o.a.183.24
2-260-20.3-c1-0-22	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	20.3	$$	$1.0$	$1$	✓	✓			$0.147$	$0$	$1.97208$	Modular form 260.2.o.a.183.25
2-260-20.3-c1-0-23	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	20.3	$$	$1.0$	$1$	✓	✓			$-0.0390$	$0$	$2.20747$	Modular form 260.2.o.a.183.31
2-260-20.3-c1-0-24	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	20.3	$$	$1.0$	$1$	✓	✓			$0.255$	$0$	$2.21287$	Modular form 260.2.o.a.183.6
2-260-20.3-c1-0-25	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	20.3	$$	$1.0$	$1$	✓	✓			$0.322$	$0$	$2.21839$	Modular form 260.2.o.a.183.3
2-260-20.3-c1-0-26	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	20.3	$$	$1.0$	$1$	✓	✓			$0.331$	$0$	$2.27386$	Modular form 260.2.o.a.183.9
2-260-20.3-c1-0-27	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	20.3	$$	$1.0$	$1$	✓	✓			$0.131$	$0$	$2.29401$	Modular form 260.2.o.a.183.8
2-260-20.3-c1-0-28	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	20.3	$$	$1.0$	$1$	✓	✓			$0.126$	$0$	$2.43965$	Modular form 260.2.o.a.183.34
2-260-20.3-c1-0-29	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	20.3	$$	$1.0$	$1$	✓	✓			$0.367$	$0$	$2.63699$	Modular form 260.2.o.a.183.29
2-260-20.3-c1-0-3	$1.44$	$2.07$	$2$	$2^{2} \cdot 5 \cdot 13$	20.3	$$	$1.0$	$1$	✓	✓			$-0.375$	$0$	$0.522415$	Modular form 260.2.o.a.183.2

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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.