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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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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\nu$	$w$	prim	arith	$\mathbb{Q}$	self-dual	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
2-231-1.1-c3-0-0	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	1.1	$3.0$	$3$	✓	✓		✓	$0$	$0$	$0.449292$	Modular form 231.4.a.j.1.3
2-231-1.1-c3-0-1	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	1.1	$3.0$	$3$	✓	✓		✓	$0$	$0$	$0.499131$	Modular form 231.4.a.j.1.1
2-231-1.1-c3-0-10	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	1.1	$3.0$	$3$	✓	✓		✓	$0$	$0$	$1.09844$	Modular form 231.4.a.k.1.2
2-231-1.1-c3-0-11	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	1.1	$3.0$	$3$	✓	✓		✓	$0$	$0$	$1.11335$	Modular form 231.4.a.k.1.3
2-231-1.1-c3-0-12	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	1.1	$3.0$	$3$	✓	✓		✓	$0$	$0$	$1.14935$	Modular form 231.4.a.l.1.3
2-231-1.1-c3-0-13	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	1.1	$3.0$	$3$	✓	✓		✓	$0$	$0$	$1.35609$	Modular form 231.4.a.g.1.2
2-231-1.1-c3-0-14	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	1.1	$3.0$	$3$	✓	✓	✓	✓	$0.5$	$1$	$1.40812$	Modular form 231.4.a.a Modular form 231.4.a.a.1.1
2-231-1.1-c3-0-15	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	1.1	$3.0$	$3$	✓	✓		✓	$0$	$0$	$1.56122$	Modular form 231.4.a.k.1.5
2-231-1.1-c3-0-16	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	1.1	$3.0$	$3$	✓	✓		✓	$0.5$	$1$	$1.60833$	Modular form 231.4.a.f.1.1
2-231-1.1-c3-0-17	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	1.1	$3.0$	$3$	✓	✓		✓	$0.5$	$1$	$1.73157$	Modular form 231.4.a.h.1.1
2-231-1.1-c3-0-18	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	1.1	$3.0$	$3$	✓	✓		✓	$0$	$0$	$1.83209$	Modular form 231.4.a.j.1.5
2-231-1.1-c3-0-19	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	1.1	$3.0$	$3$	✓	✓		✓	$0$	$0$	$1.84540$	Modular form 231.4.a.l.1.4
2-231-1.1-c3-0-2	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	1.1	$3.0$	$3$	✓	✓		✓	$0$	$0$	$0.639911$	Modular form 231.4.a.k.1.1
2-231-1.1-c3-0-20	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	1.1	$3.0$	$3$	✓	✓	✓	✓	$0.5$	$1$	$1.85193$	Modular form 231.4.a.b Modular form 231.4.a.b.1.1
2-231-1.1-c3-0-21	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	1.1	$3.0$	$3$	✓	✓	✓	✓	$0$	$0$	$1.87290$	Modular form 231.4.a.e Modular form 231.4.a.e.1.1
2-231-1.1-c3-0-22	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	1.1	$3.0$	$3$	✓	✓		✓	$0$	$0$	$2.02296$	Modular form 231.4.a.l.1.5
2-231-1.1-c3-0-23	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	1.1	$3.0$	$3$	✓	✓		✓	$0$	$0$	$2.04803$	Modular form 231.4.a.i.1.2
2-231-1.1-c3-0-24	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	1.1	$3.0$	$3$	✓	✓		✓	$0.5$	$1$	$2.16745$	Modular form 231.4.a.f.1.2
2-231-1.1-c3-0-25	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	1.1	$3.0$	$3$	✓	✓	✓	✓	$0.5$	$1$	$2.17351$	Modular form 231.4.a.c Modular form 231.4.a.c.1.1
2-231-1.1-c3-0-26	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	1.1	$3.0$	$3$	✓	✓		✓	$0.5$	$1$	$2.44340$	Modular form 231.4.a.h.1.2
2-231-1.1-c3-0-27	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	1.1	$3.0$	$3$	✓	✓	✓	✓	$0.5$	$1$	$2.67828$	Modular form 231.4.a.d Modular form 231.4.a.d.1.1
2-231-1.1-c3-0-3	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	1.1	$3.0$	$3$	✓	✓		✓	$0$	$0$	$0.749383$	Modular form 231.4.a.k.1.4
2-231-1.1-c3-0-4	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	1.1	$3.0$	$3$	✓	✓		✓	$0$	$0$	$0.760481$	Modular form 231.4.a.l.1.2
2-231-1.1-c3-0-5	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	1.1	$3.0$	$3$	✓	✓		✓	$0$	$0$	$0.824061$	Modular form 231.4.a.j.1.2
2-231-1.1-c3-0-6	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	1.1	$3.0$	$3$	✓	✓		✓	$0$	$0$	$0.831840$	Modular form 231.4.a.i.1.1
2-231-1.1-c3-0-7	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	1.1	$3.0$	$3$	✓	✓		✓	$0$	$0$	$0.897189$	Modular form 231.4.a.j.1.4
2-231-1.1-c3-0-8	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	1.1	$3.0$	$3$	✓	✓		✓	$0$	$0$	$0.970801$	Modular form 231.4.a.l.1.1
2-231-1.1-c3-0-9	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	1.1	$3.0$	$3$	✓	✓		✓	$0$	$0$	$1.06909$	Modular form 231.4.a.g.1.1
2-231-11.3-c3-0-0	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	11.3	$3.0$	$3$	✓	✓			$0.326$	$0$	$0.0479873$	Modular form 231.4.j.d.190.5
2-231-11.3-c3-0-1	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	11.3	$3.0$	$3$	✓	✓			$-0.407$	$0$	$0.265603$	Modular form 231.4.j.d.190.7
2-231-11.3-c3-0-10	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	11.3	$3.0$	$3$	✓	✓			$-0.120$	$0$	$0.750046$	Modular form 231.4.j.b.190.1
2-231-11.3-c3-0-11	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	11.3	$3.0$	$3$	✓	✓			$-0.451$	$0$	$0.784835$	Modular form 231.4.j.a.190.2
2-231-11.3-c3-0-12	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	11.3	$3.0$	$3$	✓	✓			$-0.354$	$0$	$0.793759$	Modular form 231.4.j.a.190.4
2-231-11.3-c3-0-13	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	11.3	$3.0$	$3$	✓	✓			$-0.104$	$0$	$0.844425$	Modular form 231.4.j.c.190.7
2-231-11.3-c3-0-14	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	11.3	$3.0$	$3$	✓	✓			$-0.163$	$0$	$0.933778$	Modular form 231.4.j.c.190.1
2-231-11.3-c3-0-15	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	11.3	$3.0$	$3$	✓	✓			$0.0366$	$0$	$1.10430$	Modular form 231.4.j.b.190.7
2-231-11.3-c3-0-16	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	11.3	$3.0$	$3$	✓	✓			$0.0616$	$0$	$1.12797$	Modular form 231.4.j.d.190.6
2-231-11.3-c3-0-17	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	11.3	$3.0$	$3$	✓	✓			$0.0325$	$0$	$1.14496$	Modular form 231.4.j.a.190.1
2-231-11.3-c3-0-18	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	11.3	$3.0$	$3$	✓	✓			$-0.135$	$0$	$1.14690$	Modular form 231.4.j.d.190.8
2-231-11.3-c3-0-19	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	11.3	$3.0$	$3$	✓	✓			$-0.0420$	$0$	$1.21388$	Modular form 231.4.j.a.190.7
2-231-11.3-c3-0-2	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	11.3	$3.0$	$3$	✓	✓			$-0.448$	$0$	$0.345879$	Modular form 231.4.j.b.190.3
2-231-11.3-c3-0-20	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	11.3	$3.0$	$3$	✓	✓			$0.186$	$0$	$1.21748$	Modular form 231.4.j.b.190.2
2-231-11.3-c3-0-21	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	11.3	$3.0$	$3$	✓	✓			$0.123$	$0$	$1.21893$	Modular form 231.4.j.c.190.4
2-231-11.3-c3-0-22	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	11.3	$3.0$	$3$	✓	✓			$0.253$	$0$	$1.37117$	Modular form 231.4.j.b.190.5
2-231-11.3-c3-0-23	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	11.3	$3.0$	$3$	✓	✓			$0.0589$	$0$	$1.37598$	Modular form 231.4.j.d.190.9
2-231-11.3-c3-0-24	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	11.3	$3.0$	$3$	✓	✓			$0.225$	$0$	$1.44075$	Modular form 231.4.j.d.190.1
2-231-11.3-c3-0-25	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	11.3	$3.0$	$3$	✓	✓			$0.252$	$0$	$1.49080$	Modular form 231.4.j.a.190.3
2-231-11.3-c3-0-26	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	11.3	$3.0$	$3$	✓	✓			$-0.0223$	$0$	$1.50237$	Modular form 231.4.j.d.190.3
2-231-11.3-c3-0-27	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	11.3	$3.0$	$3$	✓	✓			$0.420$	$0$	$1.70842$	Modular form 231.4.j.c.190.2
2-231-11.3-c3-0-28	$3.69$	$13.6$	$2$	$3 \cdot 7 \cdot 11$	11.3	$3.0$	$3$	✓	✓			$0.346$	$0$	$1.72752$	Modular form 231.4.j.a.190.5

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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.