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Lowest zero	Conductor	Analytic conductor	Central character	Analytic rank

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Root angle	Primitive	Origin	Exclude origin	Self-dual

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\nu$	$w$	prim	arith	$\mathbb{Q}$	self-dual	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
2-675-15.14-c0-0-0	$0.580$	$0.336$	$2$	$3^{3} \cdot 5^{2}$	15.14	$0.0$	0	✓	✓			$-0.176$	$0$	$0.903546$	Modular form 675.1.d.a.674.2
2-675-15.14-c0-0-1	$0.580$	$0.336$	$2$	$3^{3} \cdot 5^{2}$	15.14	$0.0$	0	✓	✓			$0.176$	$0$	$1.84901$	Modular form 675.1.d.a.674.1
2-675-3.2-c0-0-0	$0.580$	$0.336$	$2$	$3^{3} \cdot 5^{2}$	3.2	$0.0$	0	✓	✓			$-0.250$	$0$	$1.38214$	Artin representation 2.675.12t11.a.a Modular form 675.1.c.c.26.2
2-675-3.2-c0-0-1	$0.580$	$0.336$	$2$	$3^{3} \cdot 5^{2}$	3.2	$0.0$	0	✓	✓	✓	✓	$0$	$0$	$1.69075$	Artin representation 2.675.3t2.a Artin representation 2.675.3t2.a.a Modular form 675.1.c.a Modular form 675.1.c.a.26.1
2-675-3.2-c0-0-2	$0.580$	$0.336$	$2$	$3^{3} \cdot 5^{2}$	3.2	$0.0$	0	✓	✓	✓	✓	$0$	$0$	$1.86024$	Artin representation 2.675.6t3.a Artin representation 2.675.6t3.a.a Modular form 675.1.c.b Modular form 675.1.c.b.26.1
2-675-3.2-c0-0-3	$0.580$	$0.336$	$2$	$3^{3} \cdot 5^{2}$	3.2	$0.0$	0	✓	✓			$0.250$	$0$	$1.99624$	Artin representation 2.675.12t11.a.b Modular form 675.1.c.c.26.1
2-675-5.2-c0-0-0	$0.580$	$0.336$	$2$	$3^{3} \cdot 5^{2}$	5.2	$0.0$	0	✓	✓			$0.213$	$0$	$1.26363$	Modular form 675.1.g.a.82.1
2-675-5.2-c0-0-1	$0.580$	$0.336$	$2$	$3^{3} \cdot 5^{2}$	5.2	$0.0$	0	✓	✓			$0.0529$	$0$	$1.68777$	Modular form 675.1.g.b.82.2
2-675-5.2-c0-0-2	$0.580$	$0.336$	$2$	$3^{3} \cdot 5^{2}$	5.2	$0.0$	0	✓	✓			$-0.286$	$0$	$1.71008$	Modular form 675.1.g.a.82.2
2-675-5.2-c0-0-3	$0.580$	$0.336$	$2$	$3^{3} \cdot 5^{2}$	5.2	$0.0$	0	✓	✓			$0.270$	$0$	$2.42443$	Modular form 675.1.g.b.82.1
2-675-5.3-c0-0-0	$0.580$	$0.336$	$2$	$3^{3} \cdot 5^{2}$	5.3	$0.0$	0	✓	✓			$-0.270$	$0$	$0.871844$	Modular form 675.1.g.b.568.1
2-675-5.3-c0-0-1	$0.580$	$0.336$	$2$	$3^{3} \cdot 5^{2}$	5.3	$0.0$	0	✓	✓			$-0.213$	$0$	$1.15099$	Modular form 675.1.g.a.568.1
2-675-5.3-c0-0-2	$0.580$	$0.336$	$2$	$3^{3} \cdot 5^{2}$	5.3	$0.0$	0	✓	✓			$-0.0529$	$0$	$1.59296$	Modular form 675.1.g.b.568.2
2-675-5.3-c0-0-3	$0.580$	$0.336$	$2$	$3^{3} \cdot 5^{2}$	5.3	$0.0$	0	✓	✓			$0.286$	$0$	$2.57668$	Modular form 675.1.g.a.568.2
2-675-75.11-c0-0-0	$0.580$	$0.336$	$2$	$3^{3} \cdot 5^{2}$	75.11	$0.0$	0	✓	✓			$-0.420$	$0$	$1.10082$	Modular form 675.1.o.a.161.2
2-675-75.11-c0-0-1	$0.580$	$0.336$	$2$	$3^{3} \cdot 5^{2}$	75.11	$0.0$	0	✓	✓			$-0.420$	$0$	$2.33864$	Modular form 675.1.o.a.161.1
2-675-75.41-c0-0-0	$0.580$	$0.336$	$2$	$3^{3} \cdot 5^{2}$	75.41	$0.0$	0	✓	✓			$0.420$	$0$	$0.451570$	Modular form 675.1.o.a.566.1
2-675-75.41-c0-0-1	$0.580$	$0.336$	$2$	$3^{3} \cdot 5^{2}$	75.41	$0.0$	0	✓	✓			$0.420$	$0$	$2.99529$	Modular form 675.1.o.a.566.2
2-675-75.56-c0-0-0	$0.580$	$0.336$	$2$	$3^{3} \cdot 5^{2}$	75.56	$0.0$	0	✓	✓			$-0.0600$	$0$	$1.15042$	Modular form 675.1.o.a.431.1
2-675-75.56-c0-0-1	$0.580$	$0.336$	$2$	$3^{3} \cdot 5^{2}$	75.56	$0.0$	0	✓	✓			$-0.0600$	$0$	$1.50814$	Modular form 675.1.o.a.431.2
2-675-75.71-c0-0-0	$0.580$	$0.336$	$2$	$3^{3} \cdot 5^{2}$	75.71	$0.0$	0	✓	✓			$0.0600$	$0$	$1.21768$	Modular form 675.1.o.a.296.1
2-675-75.71-c0-0-1	$0.580$	$0.336$	$2$	$3^{3} \cdot 5^{2}$	75.71	$0.0$	0	✓	✓			$0.0600$	$0$	$2.06740$	Modular form 675.1.o.a.296.2
2-675-1.1-c1-0-0	$2.32$	$5.38$	$2$	$3^{3} \cdot 5^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.731488$	Modular form 675.2.a.p.1.1
2-675-1.1-c1-0-1	$2.32$	$5.38$	$2$	$3^{3} \cdot 5^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.746372$	Modular form 675.2.a.n.1.1
2-675-1.1-c1-0-10	$2.32$	$5.38$	$2$	$3^{3} \cdot 5^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.41968$	Modular form 675.2.a.m.1.2
2-675-1.1-c1-0-11	$2.32$	$5.38$	$2$	$3^{3} \cdot 5^{2}$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$1.63478$	Elliptic curve 675.i Modular form 675.2.a.i Modular form 675.2.a.i.1.1
2-675-1.1-c1-0-12	$2.32$	$5.38$	$2$	$3^{3} \cdot 5^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$1.66344$	Modular form 675.2.a.l.1.1
2-675-1.1-c1-0-13	$2.32$	$5.38$	$2$	$3^{3} \cdot 5^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$1.69513$	Modular form 675.2.a.j.1.1
2-675-1.1-c1-0-14	$2.32$	$5.38$	$2$	$3^{3} \cdot 5^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$1.74952$	Modular form 675.2.a.k.1.1
2-675-1.1-c1-0-15	$2.32$	$5.38$	$2$	$3^{3} \cdot 5^{2}$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0.5$	$1$	$1.76125$	Elliptic curve 675.b Modular form 675.2.a.b Modular form 675.2.a.b.1.1
2-675-1.1-c1-0-16	$2.32$	$5.38$	$2$	$3^{3} \cdot 5^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.80480$	Modular form 675.2.a.p.1.2
2-675-1.1-c1-0-17	$2.32$	$5.38$	$2$	$3^{3} \cdot 5^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.87220$	Modular form 675.2.a.n.1.2
2-675-1.1-c1-0-18	$2.32$	$5.38$	$2$	$3^{3} \cdot 5^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$1.87757$	Modular form 675.2.a.j.1.2
2-675-1.1-c1-0-19	$2.32$	$5.38$	$2$	$3^{3} \cdot 5^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.92860$	Modular form 675.2.a.q.1.2
2-675-1.1-c1-0-2	$2.32$	$5.38$	$2$	$3^{3} \cdot 5^{2}$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$0.895025$	Elliptic curve 675.d Modular form 675.2.a.d Modular form 675.2.a.d.1.1
2-675-1.1-c1-0-20	$2.32$	$5.38$	$2$	$3^{3} \cdot 5^{2}$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0.5$	$1$	$1.99536$	Elliptic curve 675.e Modular form 675.2.a.e Modular form 675.2.a.e.1.1
2-675-1.1-c1-0-21	$2.32$	$5.38$	$2$	$3^{3} \cdot 5^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$2.04797$	Modular form 675.2.a.o.1.2
2-675-1.1-c1-0-22	$2.32$	$5.38$	$2$	$3^{3} \cdot 5^{2}$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0.5$	$1$	$2.40058$	Elliptic curve 675.g Modular form 675.2.a.g Modular form 675.2.a.g.1.1
2-675-1.1-c1-0-23	$2.32$	$5.38$	$2$	$3^{3} \cdot 5^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$2.48120$	Modular form 675.2.a.k.1.2
2-675-1.1-c1-0-24	$2.32$	$5.38$	$2$	$3^{3} \cdot 5^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$2.66331$	Modular form 675.2.a.l.1.2
2-675-1.1-c1-0-3	$2.32$	$5.38$	$2$	$3^{3} \cdot 5^{2}$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$0.929391$	Elliptic curve 675.c Modular form 675.2.a.c Modular form 675.2.a.c.1.1
2-675-1.1-c1-0-4	$2.32$	$5.38$	$2$	$3^{3} \cdot 5^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.991594$	Modular form 675.2.a.m.1.1
2-675-1.1-c1-0-5	$2.32$	$5.38$	$2$	$3^{3} \cdot 5^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.05639$	Modular form 675.2.a.q.1.1
2-675-1.1-c1-0-6	$2.32$	$5.38$	$2$	$3^{3} \cdot 5^{2}$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$1.06897$	Elliptic curve 675.a Modular form 675.2.a.a Modular form 675.2.a.a.1.1
2-675-1.1-c1-0-7	$2.32$	$5.38$	$2$	$3^{3} \cdot 5^{2}$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$1.09487$	Elliptic curve 675.f Modular form 675.2.a.f Modular form 675.2.a.f.1.1
2-675-1.1-c1-0-8	$2.32$	$5.38$	$2$	$3^{3} \cdot 5^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.10101$	Modular form 675.2.a.o.1.1
2-675-1.1-c1-0-9	$2.32$	$5.38$	$2$	$3^{3} \cdot 5^{2}$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$1.22726$	Elliptic curve 675.h Modular form 675.2.a.h Modular form 675.2.a.h.1.1
2-675-135.113-c1-0-0	$2.32$	$5.38$	$2$	$3^{3} \cdot 5^{2}$	135.113	$1.0$	$1$	✓	✓			$-0.251$	$0$	$0.197002$	Modular form 675.2.ba.c.518.13
2-675-135.113-c1-0-1	$2.32$	$5.38$	$2$	$3^{3} \cdot 5^{2}$	135.113	$1.0$	$1$	✓	✓			$-0.332$	$0$	$0.282583$	Modular form 675.2.ba.a.518.5
2-675-135.113-c1-0-10	$2.32$	$5.38$	$2$	$3^{3} \cdot 5^{2}$	135.113	$1.0$	$1$	✓	✓			$-0.206$	$0$	$0.522670$	Modular form 675.2.ba.b.518.4

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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.