LMFDB - Elliptic curves over $\Q$ of conductor 2730

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Conductor	Discriminant	j-invariant	Rank

Bad$\ p$	Curves per isogeny class	Complex multiplication	Torsion

Isogeny class degree	Cyclic isogeny degree	Isogeny class size	Integral points

Analytic order of Ш	$p\ $div$\ $\|Ш\|	Regulator	Reduction	Faltings height

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Nonmax$\ \ell$	$abc$ quality	Szpiro ratio

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	Sato-Tate	Semistable	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
2730.a1	2730a3	2730.a	2730a	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{4} \cdot 3^{16} \cdot 5^{4} \cdot 7 \cdot 13^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$3640$	$48$	$0$	$6.493351957$	$1$		$2$	$49152$	$2.141544$	$251913989442882736925929/6620155222590000$	$1.02023$	$6.81029$	$[1, 1, 0, -1315758, -581449788]$	$y^2+xy=x^3+x^2-1315758x-581449788$	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0-4.c.1.5, 52.12.0-4.c.1.1, $\ldots$	$[(2641, 118567)]$
2730.a2	2730a2	2730.a	2730a	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{8} \cdot 3^{8} \cdot 5^{2} \cdot 7^{2} \cdot 13^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.6.0.1	2Cs	$1820$	$48$	$0$	$3.246675978$	$1$		$8$	$24576$	$1.794970$	$68973914606086620649/9931302391046400$	$0.99660$	$5.77350$	$[1, 1, 0, -85438, -8366732]$	$y^2+xy=x^3+x^2-85438x-8366732$	2.6.0.a.1, 20.12.0-2.a.1.1, 28.12.0-2.a.1.1, 52.12.0-2.a.1.1, 140.24.0.?, $\ldots$	$[(444, 6218)]$
2730.a3	2730a1	2730.a	2730a	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{16} \cdot 3^{4} \cdot 5 \cdot 7^{4} \cdot 13^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$3640$	$48$	$0$	$1.623337989$	$1$		$7$	$12288$	$1.448397$	$1296772724742600169/140009392373760$	$0.97985$	$5.27125$	$[1, 1, 0, -22718, 1179252]$	$y^2+xy=x^3+x^2-22718x+1179252$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 52.12.0-4.c.1.2, 56.12.0-4.c.1.5, $\ldots$	$[(59, 191)]$
2730.a4	2730a4	2730.a	2730a	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ - 2^{4} \cdot 3^{4} \cdot 5 \cdot 7 \cdot 13^{12} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$3640$	$48$	$0$	$6.493351957$	$1$		$2$	$49152$	$2.141544$	$312404265277724598551/1056801141155738160$	$1.01936$	$6.16387$	$[1, 1, 0, 141362, -44972252]$	$y^2+xy=x^3+x^2+141362x-44972252$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 28.12.0-4.c.1.1, 70.6.0.a.1, $\ldots$	$[(363, 7190)]$
2730.b1	2730c3	2730.b	2730c	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{3} \cdot 3^{20} \cdot 5^{5} \cdot 7 \cdot 13^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.8	2B	$840$	$48$	$0$	$1$	$4$	$2$	$0$	$460800$	$3.083145$	$434014578033107719741685694649/103121648659575000$	$1.05344$	$8.62518$	$[1, 1, 0, -157734563, 762431763093]$	$y^2+xy=x^3+x^2-157734563x+762431763093$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.bb.1.16, 140.12.0.?, $\ldots$	$[]$
2730.b2	2730c2	2730.b	2730c	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{6} \cdot 3^{10} \cdot 5^{10} \cdot 7^{2} \cdot 13^{4} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.1	2Cs	$840$	$48$	$0$	$1$	$1$		$2$	$230400$	$2.736572$	$105997782562506306791694649/51649016225625000000$	$1.03589$	$7.57394$	$[1, 1, 0, -9859563, 11906988093]$	$y^2+xy=x^3+x^2-9859563x+11906988093$	2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.a.1.3, 140.12.0.?, $\ldots$	$[]$
2730.b3	2730c4	2730.b	2730c	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ - 2^{3} \cdot 3^{5} \cdot 5^{20} \cdot 7^{4} \cdot 13^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.7	2B	$840$	$48$	$0$	$1$	$4$	$2$	$0$	$460800$	$3.083145$	$-61354313914516350666047929/75227254486083984375000$	$1.04405$	$7.64860$	$[1, 1, 0, -8216883, 16006788837]$	$y^2+xy=x^3+x^2-8216883x+16006788837$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.1, 24.24.0-24.v.1.4, $\ldots$	$[]$
2730.b4	2730c1	2730.b	2730c	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{12} \cdot 3^{5} \cdot 5^{5} \cdot 7 \cdot 13^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.12	2B	$840$	$48$	$0$	$1$	$1$		$1$	$115200$	$2.389999$	$41285728533151645510969/17760741842188800000$	$1.02858$	$6.58170$	$[1, 1, 0, -720043, 118835197]$	$y^2+xy=x^3+x^2-720043x+118835197$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.2, 24.24.0-24.bb.1.2, $\ldots$	$[]$
2730.c1	2730b3	2730.c	2730b	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{3} \cdot 3^{4} \cdot 5 \cdot 7^{2} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$1560$	$48$	$0$	$1$	$4$	$2$	$0$	$9216$	$1.262650$	$277536408914951281369/2063880$	$0.99859$	$5.94946$	$[1, 1, 0, -135893, -19338363]$	$y^2+xy=x^3+x^2-135893x-19338363$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0-4.c.1.1, 52.12.0-4.c.1.1, $\ldots$	$[]$
2730.c2	2730b4	2730.c	2730b	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{3} \cdot 3 \cdot 5 \cdot 7^{8} \cdot 13^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$1560$	$48$	$0$	$1$	$1$		$0$	$9216$	$1.262650$	$83161039719198169/19757817763320$	$0.97122$	$4.92407$	$[1, 1, 0, -9093, -260043]$	$y^2+xy=x^3+x^2-9093x-260043$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.2, 104.12.0.?, $\ldots$	$[]$
2730.c3	2730b2	2730.c	2730b	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{4} \cdot 13^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.6.0.1	2Cs	$1560$	$48$	$0$	$1$	$1$		$2$	$4608$	$0.916077$	$67762119444423769/5843073600$	$0.96387$	$4.89819$	$[1, 1, 0, -8493, -304803]$	$y^2+xy=x^3+x^2-8493x-304803$	2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0-2.a.1.1, 52.12.0-2.a.1.1, 120.24.0.?, $\ldots$	$[]$
2730.c4	2730b1	2730.c	2730b	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ - 2^{12} \cdot 3 \cdot 5^{4} \cdot 7^{2} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$1560$	$48$	$0$	$1$	$1$		$1$	$2304$	$0.569503$	$-13293525831769/4892160000$	$0.92113$	$3.88148$	$[1, 1, 0, -493, -5603]$	$y^2+xy=x^3+x^2-493x-5603$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.4, 52.12.0-4.c.1.2, $\ldots$	$[]$
2730.d1	2730f4	2730.d	2730f	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$1560$	$48$	$0$	$0.580593878$	$1$		$6$	$3072$	$0.769341$	$53365044437418169/41984670$	$0.96269$	$4.86800$	$[1, 1, 0, -7843, 264103]$	$y^2+xy=x^3+x^2-7843x+264103$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.2, 104.12.0.?, $\ldots$	$[(51, -22)]$
2730.d2	2730f3	2730.d	2730f	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2 \cdot 3^{4} \cdot 5 \cdot 7^{8} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$1560$	$48$	$0$	$0.580593878$	$1$		$6$	$3072$	$0.769341$	$165369706597369/60703354530$	$0.94372$	$4.13789$	$[1, 1, 0, -1143, -9477]$	$y^2+xy=x^3+x^2-1143x-9477$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0-4.c.1.1, 52.12.0-4.c.1.1, $\ldots$	$[(-17, 82)]$
2730.d3	2730f2	2730.d	2730f	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{4} \cdot 13^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.6.0.1	2Cs	$1560$	$48$	$0$	$0.290296939$	$1$		$20$	$1536$	$0.422767$	$13293525831769/365192100$	$0.91378$	$3.81927$	$[1, 1, 0, -493, 3913]$	$y^2+xy=x^3+x^2-493x+3913$	2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0-2.a.1.1, 52.12.0-2.a.1.1, 120.24.0.?, $\ldots$	$[(9, 13)]$
2730.d4	2730f1	2730.d	2730f	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ - 2^{4} \cdot 3 \cdot 5^{4} \cdot 7^{2} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$1560$	$48$	$0$	$0.580593878$	$1$		$7$	$768$	$0.076193$	$30080231/19110000$	$0.94018$	$3.06109$	$[1, 1, 0, 7, 213]$	$y^2+xy=x^3+x^2+7x+213$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.4, 52.12.0-4.c.1.2, $\ldots$	$[(-2, 15)]$
2730.e1	2730e1	2730.e	2730e	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{22} \cdot 3^{10} \cdot 5 \cdot 7^{2} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$3640$	$12$	$0$	$2.049575084$	$1$		$7$	$21120$	$1.656616$	$46999332667159819129/788827220213760$	$0.99238$	$5.72502$	$[1, 1, 0, -75183, 7787493]$	$y^2+xy=x^3+x^2-75183x+7787493$	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[(141, 51)]$
2730.e2	2730e2	2730.e	2730e	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ - 2^{11} \cdot 3^{20} \cdot 5^{2} \cdot 7 \cdot 13^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$3640$	$12$	$0$	$4.099150168$	$1$		$4$	$42240$	$2.003189$	$-4755955967570809/211193136454809600$	$1.08548$	$5.98407$	$[1, 1, 0, -3503, 22109157]$	$y^2+xy=x^3+x^2-3503x+22109157$	2.3.0.a.1, 56.6.0.b.1, 260.6.0.?, 3640.12.0.?	$[(-269, 2052)]$
2730.f1	2730d3	2730.f	2730d	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.7	2B	$2184$	$48$	$0$	$1$	$4$	$2$	$0$	$10240$	$1.273802$	$79560762543506753209/479824800$	$0.99404$	$5.79155$	$[1, 1, 0, -89603, -10361043]$	$y^2+xy=x^3+x^2-89603x-10361043$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 84.12.0.?, 104.24.0.?, $\ldots$	$[]$
2730.f2	2730d2	2730.f	2730d	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{10} \cdot 3^{2} \cdot 5^{4} \cdot 7^{2} \cdot 13^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.1	2Cs	$2184$	$48$	$0$	$1$	$1$		$2$	$5120$	$0.927228$	$19458380202497209/47698560000$	$0.95765$	$4.74049$	$[1, 1, 0, -5603, -163443]$	$y^2+xy=x^3+x^2-5603x-163443$	2.6.0.a.1, 8.12.0-2.a.1.1, 52.12.0-2.a.1.1, 84.12.0.?, 104.24.0.?, $\ldots$	$[]$
2730.f3	2730d4	2730.f	2730d	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ - 2^{5} \cdot 3^{4} \cdot 5^{8} \cdot 7^{4} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.8	2B	$2184$	$48$	$0$	$1$	$1$		$0$	$10240$	$1.273802$	$-4837870546133689/31603162500000$	$0.98374$	$4.88165$	$[1, 1, 0, -3523, -283667]$	$y^2+xy=x^3+x^2-3523x-283667$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 52.12.0-4.c.1.1, 104.24.0.?, $\ldots$	$[]$
2730.f4	2730d1	2730.f	2730d	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{20} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.12	2B	$2184$	$48$	$0$	$1$	$1$		$1$	$2560$	$0.580654$	$12501706118329/7156531200$	$0.97977$	$3.81151$	$[1, 1, 0, -483, -627]$	$y^2+xy=x^3+x^2-483x-627$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 52.12.0-4.c.1.2, 84.12.0.?, $\ldots$	$[]$
2730.g1	2730g1	2730.g	2730g	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{14} \cdot 3^{5} \cdot 5 \cdot 7^{3} \cdot 13^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$1$		$1$	$6720$	$1.107098$	$59374229431741561/1153923563520$	$0.96363$	$4.88149$	$[1, 1, 0, -8127, 273861]$	$y^2+xy=x^3+x^2-8127x+273861$	2.3.0.a.1, 104.6.0.?, 210.6.0.?, 10920.12.0.?	$[]$
2730.g2	2730g2	2730.g	2730g	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ - 2^{7} \cdot 3^{10} \cdot 5^{2} \cdot 7^{6} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$1$		$0$	$13440$	$1.453672$	$788632918919/288997521321600$	$1.08907$	$5.15064$	$[1, 1, 0, 193, 817989]$	$y^2+xy=x^3+x^2+193x+817989$	2.3.0.a.1, 104.6.0.?, 420.6.0.?, 10920.12.0.?	$[]$
2730.h1	2730i1	2730.h	2730i	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{10} \cdot 3^{4} \cdot 5^{7} \cdot 7^{10} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$3640$	$12$	$0$	$0.150528725$	$1$		$15$	$134400$	$2.470913$	$399671282266555297146121/23795714975760000000$	$1.02257$	$6.86862$	$[1, 1, 0, -1534592, 692407296]$	$y^2+xy=x^3+x^2-1534592x+692407296$	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[(527, 5249)]$
2730.h2	2730i2	2730.h	2730i	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ - 2^{5} \cdot 3^{8} \cdot 5^{14} \cdot 7^{5} \cdot 13^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$3640$	$12$	$0$	$0.301057450$	$1$		$10$	$268800$	$2.817490$	$170190978202632673472759/3639795481054687500000$	$1.05199$	$7.21348$	$[1, 1, 0, 1154528, 2863602784]$	$y^2+xy=x^3+x^2+1154528x+2863602784$	2.3.0.a.1, 56.6.0.b.1, 260.6.0.?, 3640.12.0.?	$[(-747, 40186)]$
2730.i1	2730h4	2730.i	2730h	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2 \cdot 3 \cdot 5^{4} \cdot 7 \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$10920$	$48$	$0$	$0.969843485$	$1$		$4$	$1536$	$0.479597$	$2732315424539401/341250$	$0.94703$	$4.49237$	$[1, 1, 0, -2912, 59286]$	$y^2+xy=x^3+x^2-2912x+59286$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$	$[(37, 44)]$
2730.i2	2730h3	2730.i	2730h	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2 \cdot 3 \cdot 5 \cdot 7^{4} \cdot 13^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$10920$	$48$	$0$	$0.969843485$	$1$		$6$	$1536$	$0.479597$	$4066120948681/2057248830$	$0.93446$	$3.66955$	$[1, 1, 0, -332, -966]$	$y^2+xy=x^3+x^2-332x-966$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.2, 120.24.0.?, $\ldots$	$[(-5, 27)]$
2730.i3	2730h2	2730.i	2730h	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.6.0.1	2Cs	$10920$	$48$	$0$	$0.484921742$	$1$		$16$	$768$	$0.133024$	$672451615081/7452900$	$0.89008$	$3.44211$	$[1, 1, 0, -182, 864]$	$y^2+xy=x^3+x^2-182x+864$	2.6.0.a.1, 20.12.0-2.a.1.1, 24.12.0-2.a.1.1, 120.24.0.?, 364.12.0.?, $\ldots$	$[(5, 8)]$
2730.i4	2730h1	2730.i	2730h	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ - 2^{4} \cdot 3^{4} \cdot 5 \cdot 7 \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$10920$	$48$	$0$	$0.969843485$	$1$		$5$	$384$	$-0.213550$	$-1771561/589680$	$1.00300$	$2.62180$	$[1, 1, 0, -2, 36]$	$y^2+xy=x^3+x^2-2x+36$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.6, 120.24.0.?, $\ldots$	$[(0, 6)]$
2730.j1	2730j1	2730.j	2730j	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{6} \cdot 3^{5} \cdot 5 \cdot 7 \cdot 13^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$1$		$1$	$960$	$0.234531$	$320153881321/91990080$	$0.89362$	$3.34832$	$[1, 1, 0, -142, -524]$	$y^2+xy=x^3+x^2-142x-524$	2.3.0.a.1, 104.6.0.?, 210.6.0.?, 10920.12.0.?	$[]$
2730.j2	2730j2	2730.j	2730j	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ - 2^{3} \cdot 3^{10} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$1$		$0$	$1920$	$0.581104$	$5948434379159/7522842600$	$0.92885$	$3.73913$	$[1, 1, 0, 378, -2916]$	$y^2+xy=x^3+x^2+378x-2916$	2.3.0.a.1, 104.6.0.?, 420.6.0.?, 10920.12.0.?	$[]$
2730.k1	2730k3	2730.k	2730k	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{6} \cdot 3^{8} \cdot 5^{28} \cdot 7 \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$3640$	$48$	$0$	$1$	$4$	$2$	$0$	$1720320$	$3.911301$	$4008766897254067912673785886329/1423480510711669921875000000$	$1.06511$	$8.90616$	$[1, 0, 1, -330949984, -1440519827218]$	$y^2+xy+y=x^3-330949984x-1440519827218$	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0-4.c.1.5, 52.12.0-4.c.1.1, $\ldots$	$[]$
2730.k2	2730k2	2730.k	2730k	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{12} \cdot 3^{16} \cdot 5^{14} \cdot 7^{2} \cdot 13^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.6.0.1	2Cs	$1820$	$48$	$0$	$1$	$1$		$2$	$860160$	$3.564728$	$302773487204995438715379645049/8911747415025000000000000$	$1.05318$	$8.57966$	$[1, 0, 1, -139893664, 620442907886]$	$y^2+xy+y=x^3-139893664x+620442907886$	2.6.0.a.1, 20.12.0-2.a.1.1, 28.12.0-2.a.1.1, 52.12.0-2.a.1.1, 140.24.0.?, $\ldots$	$[]$
2730.k3	2730k1	2730.k	2730k	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{24} \cdot 3^{8} \cdot 5^{7} \cdot 7^{4} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$3640$	$48$	$0$	$1$	$1$		$1$	$430080$	$3.218151$	$296304326013275547793071733369/268420373544960000000$	$1.05271$	$8.57693$	$[1, 0, 1, -138890144, 630009263342]$	$y^2+xy+y=x^3-138890144x+630009263342$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 52.12.0-4.c.1.2, 56.12.0-4.c.1.5, $\ldots$	$[]$
2730.k4	2730k4	2730.k	2730k	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ - 2^{6} \cdot 3^{32} \cdot 5^{7} \cdot 7 \cdot 13^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$3640$	$48$	$0$	$1$	$1$		$0$	$1720320$	$3.911301$	$4784981304203817469820354951/1852343836482910078035000000$	$1.09279$	$8.87752$	$[1, 0, 1, 35106336, 2069162907886]$	$y^2+xy+y=x^3+35106336x+2069162907886$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 28.12.0-4.c.1.1, 70.6.0.a.1, $\ldots$	$[]$
2730.l1	2730l1	2730.l	2730l	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{2} \cdot 3 \cdot 5 \cdot 7^{3} \cdot 13^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$1$		$1$	$960$	$0.028466$	$105756712489/3478020$	$0.87422$	$3.20832$	$[1, 0, 1, -99, -374]$	$y^2+xy+y=x^3-99x-374$	2.3.0.a.1, 104.6.0.?, 210.6.0.?, 10920.12.0.?	$[]$
2730.l2	2730l2	2730.l	2730l	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ - 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{6} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$1$		$0$	$1920$	$0.375039$	$3449795831/688246650$	$0.95438$	$3.51381$	$[1, 0, 1, 31, -1258]$	$y^2+xy+y=x^3+31x-1258$	2.3.0.a.1, 104.6.0.?, 420.6.0.?, 10920.12.0.?	$[]$
2730.m1	2730p5	2730.m	2730p	$6$	$18$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{18} \cdot 3 \cdot 5^{9} \cdot 7 \cdot 13^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 9.24.0.3	2B, 3B.1.2	$32760$	$864$	$21$	$1$	$9$	$3$	$1$	$46656$	$2.033260$	$68463752473882049153689/1817088000000000$	$1.01646$	$6.64563$	$[1, 0, 1, -852274, -302906428]$	$y^2+xy+y=x^3-852274x-302906428$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 9.24.0-9.a.1.1, 18.72.0-18.a.1.2, $\ldots$	$[]$
2730.m2	2730p6	2730.m	2730p	$6$	$18$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ - 2^{9} \cdot 3^{2} \cdot 5^{18} \cdot 7^{2} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 9.24.0.3	2B, 3B.1.2	$32760$	$864$	$21$	$1$	$9$	$3$	$0$	$93312$	$2.379837$	$-60752633741424905775769/11197265625000000000$	$1.01873$	$6.66547$	$[1, 0, 1, -818994, -327640124]$	$y^2+xy+y=x^3-818994x-327640124$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 9.24.0-9.a.1.1, 18.72.0-18.a.1.2, $\ldots$	$[]$
2730.m3	2730p3	2730.m	2730p	$6$	$18$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{6} \cdot 3^{3} \cdot 5^{3} \cdot 7^{3} \cdot 13^{6} $	$0$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.24.0.1	2B, 3Cs.1.1	$32760$	$864$	$21$	$1$	$1$		$5$	$15552$	$1.483955$	$673163386034885929/357608625192000$	$1.00441$	$5.18838$	$[1, 0, 1, -18259, 270446]$	$y^2+xy+y=x^3-18259x+270446$	2.3.0.a.1, 3.24.0-3.a.1.1, 6.72.0-6.a.1.1, 104.6.0.?, 210.144.1.?, $\ldots$	$[]$
2730.m4	2730p1	2730.m	2730p	$6$	$18$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{2} \cdot 3^{9} \cdot 5 \cdot 7 \cdot 13^{2} $	$0$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 9.24.0.1	2B, 3B.1.1	$32760$	$864$	$21$	$1$	$1$		$5$	$5184$	$0.934649$	$326355561310674169/465699780$	$0.97132$	$5.09687$	$[1, 0, 1, -14344, 660002]$	$y^2+xy+y=x^3-14344x+660002$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 9.24.0-9.a.1.2, 18.72.0-18.a.1.1, $\ldots$	$[]$
2730.m5	2730p2	2730.m	2730p	$6$	$18$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ - 2 \cdot 3^{18} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$0$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 9.24.0.1	2B, 3B.1.1	$32760$	$864$	$21$	$1$	$1$		$4$	$10368$	$1.281223$	$-317562142497484249/12339342574650$	$0.97199$	$5.10164$	$[1, 0, 1, -14214, 672586]$	$y^2+xy+y=x^3-14214x+672586$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 9.24.0-9.a.1.2, 18.72.0-18.a.1.1, $\ldots$	$[]$
2730.m6	2730p4	2730.m	2730p	$6$	$18$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ - 2^{3} \cdot 3^{6} \cdot 5^{6} \cdot 7^{6} \cdot 13^{3} $	$0$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.24.0.1	2B, 3Cs.1.1	$32760$	$864$	$21$	$1$	$1$		$4$	$31104$	$1.830530$	$37321015309599759191/23553520979625000$	$1.02003$	$5.69588$	$[1, 0, 1, 69621, 2133502]$	$y^2+xy+y=x^3+69621x+2133502$	2.3.0.a.1, 3.24.0-3.a.1.1, 6.72.0-6.a.1.1, 104.6.0.?, 312.144.1.?, $\ldots$	$[]$
2730.n1	2730m3	2730.n	2730m	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{3} \cdot 3^{8} \cdot 5 \cdot 7^{2} \cdot 13^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.7	2B	$520$	$48$	$0$	$0.748768399$	$1$		$6$	$6144$	$1.093323$	$136948444639063849/367281893160$	$0.96731$	$4.98712$	$[1, 0, 1, -10739, -428218]$	$y^2+xy+y=x^3-10739x-428218$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 20.12.0-4.c.1.1, 40.24.0-40.v.1.4, $\ldots$	$[(-60, 61)]$
2730.n2	2730m2	2730.n	2730m	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{6} \cdot 3^{4} \cdot 5^{2} \cdot 7^{4} \cdot 13^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.1	2Cs	$520$	$48$	$0$	$0.374384199$	$1$		$18$	$3072$	$0.746750$	$91422999252649/52587662400$	$1.00003$	$4.06298$	$[1, 0, 1, -939, -938]$	$y^2+xy+y=x^3-939x-938$	2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0-2.a.1.1, 40.24.0-40.a.1.3, 52.12.0-2.a.1.1, $\ldots$	$[(-4, 54)]$
2730.n3	2730m1	2730.n	2730m	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{12} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.12	2B	$520$	$48$	$0$	$0.748768399$	$1$		$7$	$1536$	$0.400176$	$26168974809769/117411840$	$0.91802$	$3.90488$	$[1, 0, 1, -619, 5846]$	$y^2+xy+y=x^3-619x+5846$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.2, 40.24.0-40.bb.1.9, $\ldots$	$[(16, 2)]$
2730.n4	2730m4	2730.n	2730m	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ - 2^{3} \cdot 3^{2} \cdot 5^{4} \cdot 7^{8} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.8	2B	$520$	$48$	$0$	$0.748768399$	$1$		$6$	$6144$	$1.093323$	$5792335463322071/3372408585000$	$1.01952$	$4.58734$	$[1, 0, 1, 3741, -6554]$	$y^2+xy+y=x^3+3741x-6554$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 40.24.0-40.bb.1.14, 52.12.0-4.c.1.1, $\ldots$	$[(14, 213)]$
2730.o1	2730n7	2730.o	2730n	$8$	$12$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{6} \cdot 3 \cdot 5^{12} \cdot 7^{4} \cdot 13^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	4.6.0.1, 3.8.0.2	2B, 3B.1.2	$10920$	$384$	$5$	$1$	$1$		$0$	$82944$	$2.337929$	$1286229821345376481036009/247265484375000000$	$1.02474$	$7.01635$	$[1, 0, 1, -2265679, -1312610494]$	$y^2+xy+y=x^3-2265679x-1312610494$	2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 12.96.0-12.c.1.6, $\ldots$	$[]$
2730.o2	2730n8	2730.o	2730n	$8$	$12$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{6} \cdot 3 \cdot 5^{3} \cdot 7 \cdot 13^{12} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	4.6.0.1, 3.8.0.2	2B, 3B.1.2	$10920$	$384$	$5$	$1$	$1$		$0$	$82944$	$2.337929$	$109454124781830273937129/3914078300576808000$	$1.12174$	$6.70493$	$[1, 0, 1, -996559, 370812482]$	$y^2+xy+y=x^3-996559x+370812482$	2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 12.96.0-12.c.3.3, $\ldots$	$[]$

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Elliptic curves over $\Q$
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Genus 2 curves over $\Q$
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Abelian varieties over $\F_{q}$

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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.

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