LMFDB - Elliptic curve search results

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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

Galois image	Adelic level	Adelic index	Adelic genus

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	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
480.c4	480f4	480.c	480f	$4$	$4$	$ 2^{5} \cdot 3 \cdot 5 $	$ - 2^{12} \cdot 3^{2} \cdot 5^{4} $	$1$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.24.0.11	2B	$240$	$192$	$3$	$0.516278469$	$1$		$17$	$128$	$0.092319$	$85184/5625$	$1.15009$	$3.95198$	$[0, -1, 0, 15, 225]$	$y^2=x^3-x^2+15x+225$	2.3.0.a.1, 4.24.0-4.d.1.1, 24.48.0-24.z.1.4, 40.48.0-40.bf.1.1, 80.96.0.?, $\ldots$	$[(0, 15)]$
480.h4	480h4	480.h	480h	$4$	$4$	$ 2^{5} \cdot 3 \cdot 5 $	$ - 2^{12} \cdot 3^{2} \cdot 5^{4} $	$0$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.24.0.11	2B	$240$	$192$	$3$	$1$	$1$		$3$	$128$	$0.092319$	$85184/5625$	$1.15009$	$3.95198$	$[0, 1, 0, 15, -225]$	$y^2=x^3+x^2+15x-225$	2.3.0.a.1, 4.24.0-4.d.1.1, 24.48.0-24.z.1.4, 40.48.0-40.bf.1.1, 80.96.0.?, $\ldots$	$[]$
960.d4	960j1	960.d	960j	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5 $	$ - 2^{6} \cdot 3^{2} \cdot 5^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.69	2B	$240$	$192$	$3$	$1$	$1$		$1$	$128$	$-0.254254$	$85184/5625$	$1.15009$	$2.94743$	$[0, -1, 0, 4, -30]$	$y^2=x^3-x^2+4x-30$	2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.1, 12.24.0-4.d.1.2, 24.48.0-24.z.1.3, $\ldots$	$[]$
960.i4	960m1	960.i	960m	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5 $	$ - 2^{6} \cdot 3^{2} \cdot 5^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.69	2B	$240$	$192$	$3$	$1.091813131$	$1$		$3$	$128$	$-0.254254$	$85184/5625$	$1.15009$	$2.94743$	$[0, 1, 0, 4, 30]$	$y^2=x^3+x^2+4x+30$	2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.1, 12.24.0-4.d.1.2, 24.48.0-24.z.1.3, $\ldots$	$[(1, 6)]$
1440.a4	1440e4	1440.a	1440e	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5 $	$ - 2^{12} \cdot 3^{8} \cdot 5^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.75	2B	$240$	$192$	$3$	$1$	$1$		$1$	$1024$	$0.641625$	$85184/5625$	$1.15009$	$4.26136$	$[0, 0, 0, 132, -6208]$	$y^2=x^3+132x-6208$	2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.4, 12.24.0-4.d.1.1, 24.48.0-24.z.1.2, $\ldots$	$[]$
1440.f4	1440d4	1440.f	1440d	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5 $	$ - 2^{12} \cdot 3^{8} \cdot 5^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.75	2B	$240$	$192$	$3$	$1$	$1$		$1$	$1024$	$0.641625$	$85184/5625$	$1.15009$	$4.26136$	$[0, 0, 0, 132, 6208]$	$y^2=x^3+132x+6208$	2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.4, 12.24.0-4.d.1.1, 24.48.0-24.z.1.2, $\ldots$	$[]$
2400.b4	2400d4	2400.b	2400d	$4$	$4$	$ 2^{5} \cdot 3 \cdot 5^{2} $	$ - 2^{12} \cdot 3^{2} \cdot 5^{10} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.73	2B	$240$	$192$	$3$	$1.375260796$	$1$		$5$	$3072$	$0.897038$	$85184/5625$	$1.15009$	$4.37547$	$[0, -1, 0, 367, -28863]$	$y^2=x^3-x^2+367x-28863$	2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.2, 20.24.0-4.d.1.1, 24.48.0-24.z.1.7, $\ldots$	$[(47, 300)]$
2400.bg4	2400k4	2400.bg	2400k	$4$	$4$	$ 2^{5} \cdot 3 \cdot 5^{2} $	$ - 2^{12} \cdot 3^{2} \cdot 5^{10} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.73	2B	$240$	$192$	$3$	$1$	$1$		$1$	$3072$	$0.897038$	$85184/5625$	$1.15009$	$4.37547$	$[0, 1, 0, 367, 28863]$	$y^2=x^3+x^2+367x+28863$	2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.2, 20.24.0-4.d.1.1, 24.48.0-24.z.1.7, $\ldots$	$[]$
2880.s4	2880bh1	2880.s	2880bh	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 5 $	$ - 2^{6} \cdot 3^{8} \cdot 5^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.24.0.9	2B	$240$	$192$	$3$	$1$	$1$		$1$	$1024$	$0.295052$	$85184/5625$	$1.15009$	$3.36844$	$[0, 0, 0, 33, -776]$	$y^2=x^3+33x-776$	2.3.0.a.1, 4.24.0-4.d.1.2, 24.48.0-24.z.1.1, 40.48.0-40.bf.1.8, 80.96.0.?, $\ldots$	$[]$
2880.bh4	2880bf1	2880.bh	2880bf	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 5 $	$ - 2^{6} \cdot 3^{8} \cdot 5^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.24.0.9	2B	$240$	$192$	$3$	$1$	$1$		$1$	$1024$	$0.295052$	$85184/5625$	$1.15009$	$3.36844$	$[0, 0, 0, 33, 776]$	$y^2=x^3+33x+776$	2.3.0.a.1, 4.24.0-4.d.1.2, 24.48.0-24.z.1.1, 40.48.0-40.bf.1.8, 80.96.0.?, $\ldots$	$[]$
4800.bi4	4800bn1	4800.bi	4800bn	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5^{2} $	$ - 2^{6} \cdot 3^{2} \cdot 5^{10} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.68	2B	$240$	$192$	$3$	$1$	$1$		$1$	$3072$	$0.550465$	$85184/5625$	$1.15009$	$3.52703$	$[0, -1, 0, 92, 3562]$	$y^2=x^3-x^2+92x+3562$	2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.3, 24.48.0-24.z.1.8, 40.48.0-40.bf.1.4, $\ldots$	$[]$
4800.bm4	4800ch1	4800.bm	4800ch	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5^{2} $	$ - 2^{6} \cdot 3^{2} \cdot 5^{10} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.68	2B	$240$	$192$	$3$	$3.139244024$	$1$		$3$	$3072$	$0.550465$	$85184/5625$	$1.15009$	$3.52703$	$[0, 1, 0, 92, -3562]$	$y^2=x^3+x^2+92x-3562$	2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.3, 24.48.0-24.z.1.8, 40.48.0-40.bf.1.4, $\ldots$	$[(29, 156)]$
7200.b4	7200bp4	7200.b	7200bp	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} $	$ - 2^{12} \cdot 3^{8} \cdot 5^{10} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.65	2B	$240$	$192$	$3$	$1.071043901$	$1$		$7$	$24576$	$1.446344$	$85184/5625$	$1.15009$	$4.57641$	$[0, 0, 0, 3300, 776000]$	$y^2=x^3+3300x+776000$	2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.6, 24.48.0-24.z.1.5, 40.48.0-40.bf.1.5, $\ldots$	$[(10, 900)]$
7200.bz4	7200bn4	7200.bz	7200bn	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} $	$ - 2^{12} \cdot 3^{8} \cdot 5^{10} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.65	2B	$240$	$192$	$3$	$2.246738702$	$1$		$5$	$24576$	$1.446344$	$85184/5625$	$1.15009$	$4.57641$	$[0, 0, 0, 3300, -776000]$	$y^2=x^3+3300x-776000$	2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.6, 24.48.0-24.z.1.5, 40.48.0-40.bf.1.5, $\ldots$	$[(90, 500)]$
14400.m4	14400eg1	14400.m	14400eg	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} $	$ - 2^{6} \cdot 3^{8} \cdot 5^{10} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.66	2B	$240$	$192$	$3$	$3.187644069$	$1$		$3$	$24576$	$1.099771$	$85184/5625$	$1.15009$	$3.81077$	$[0, 0, 0, 825, 97000]$	$y^2=x^3+825x+97000$	2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.5, 20.24.0-4.d.1.2, 24.48.0-24.z.1.6, $\ldots$	$[(-4, 306)]$
14400.ex4	14400ed1	14400.ex	14400ed	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} $	$ - 2^{6} \cdot 3^{8} \cdot 5^{10} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.66	2B	$240$	$192$	$3$	$7.187557624$	$1$		$1$	$24576$	$1.099771$	$85184/5625$	$1.15009$	$3.81077$	$[0, 0, 0, 825, -97000]$	$y^2=x^3+825x-97000$	2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.5, 20.24.0-4.d.1.2, 24.48.0-24.z.1.6, $\ldots$	$[(2284/7, 70902/7)]$
23520.i4	23520bb2	23520.i	23520bb	$4$	$4$	$ 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} $	$ - 2^{12} \cdot 3^{2} \cdot 5^{4} \cdot 7^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.9	2B	$1680$	$192$	$3$	$0.882223137$	$1$		$7$	$36864$	$1.065275$	$85184/5625$	$1.15009$	$3.58390$	$[0, -1, 0, 719, 78625]$	$y^2=x^3-x^2+719x+78625$	2.3.0.a.1, 4.12.0.d.1, 24.24.0.z.1, 28.24.0-4.d.1.1, 40.24.0.bf.1, $\ldots$	$[(13, 300)]$
23520.bf4	23520bp2	23520.bf	23520bp	$4$	$4$	$ 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} $	$ - 2^{12} \cdot 3^{2} \cdot 5^{4} \cdot 7^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.9	2B	$1680$	$192$	$3$	$1$	$1$		$1$	$36864$	$1.065275$	$85184/5625$	$1.15009$	$3.58390$	$[0, 1, 0, 719, -78625]$	$y^2=x^3+x^2+719x-78625$	2.3.0.a.1, 4.12.0.d.1, 24.24.0.z.1, 28.24.0-4.d.1.1, 40.24.0.bf.1, $\ldots$	$[]$
47040.cv4	47040fa1	47040.cv	47040fa	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} $	$ - 2^{6} \cdot 3^{2} \cdot 5^{4} \cdot 7^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.9	2B	$1680$	$192$	$3$	$1$	$1$		$1$	$36864$	$0.718701$	$85184/5625$	$1.15009$	$2.96644$	$[0, -1, 0, 180, -9918]$	$y^2=x^3-x^2+180x-9918$	2.3.0.a.1, 4.12.0.d.1, 24.24.0.z.1, 40.24.0.bf.1, 56.24.0-4.d.1.1, $\ldots$	$[]$
47040.gj4	47040gt1	47040.gj	47040gt	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} $	$ - 2^{6} \cdot 3^{2} \cdot 5^{4} \cdot 7^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.9	2B	$1680$	$192$	$3$	$2.413337843$	$1$		$3$	$36864$	$0.718701$	$85184/5625$	$1.15009$	$2.96644$	$[0, 1, 0, 180, 9918]$	$y^2=x^3+x^2+180x+9918$	2.3.0.a.1, 4.12.0.d.1, 24.24.0.z.1, 40.24.0.bf.1, 56.24.0-4.d.1.1, $\ldots$	$[(81, 750)]$
58080.bc4	58080n2	58080.bc	58080n	$4$	$4$	$ 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} $	$ - 2^{12} \cdot 3^{2} \cdot 5^{4} \cdot 11^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.9	2B	$2640$	$192$	$3$	$2.984307347$	$1$		$5$	$184320$	$1.291267$	$85184/5625$	$1.15009$	$3.53578$	$[0, -1, 0, 1775, -306623]$	$y^2=x^3-x^2+1775x-306623$	2.3.0.a.1, 4.12.0.d.1, 24.24.0.z.1, 40.24.0.bf.1, 44.24.0-4.d.1.1, $\ldots$	$[(64, 255)]$
58080.bs4	58080bd2	58080.bs	58080bd	$4$	$4$	$ 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} $	$ - 2^{12} \cdot 3^{2} \cdot 5^{4} \cdot 11^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.9	2B	$2640$	$192$	$3$	$1$	$1$		$1$	$184320$	$1.291267$	$85184/5625$	$1.15009$	$3.53578$	$[0, 1, 0, 1775, 306623]$	$y^2=x^3+x^2+1775x+306623$	2.3.0.a.1, 4.12.0.d.1, 24.24.0.z.1, 40.24.0.bf.1, 44.24.0-4.d.1.1, $\ldots$	$[]$
70560.de4	70560bj2	70560.de	70560bj	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5 \cdot 7^{2} $	$ - 2^{12} \cdot 3^{8} \cdot 5^{4} \cdot 7^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.9	2B	$1680$	$192$	$3$	$1$	$1$		$1$	$294912$	$1.614580$	$85184/5625$	$1.15009$	$3.82166$	$[0, 0, 0, 6468, -2129344]$	$y^2=x^3+6468x-2129344$	2.3.0.a.1, 4.12.0.d.1, 24.24.0.z.1, 40.24.0.bf.1, 56.24.0-4.d.1.4, $\ldots$	$[]$
70560.df4	70560bi2	70560.df	70560bi	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5 \cdot 7^{2} $	$ - 2^{12} \cdot 3^{8} \cdot 5^{4} \cdot 7^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.9	2B	$1680$	$192$	$3$	$1$	$1$		$1$	$294912$	$1.614580$	$85184/5625$	$1.15009$	$3.82166$	$[0, 0, 0, 6468, 2129344]$	$y^2=x^3+6468x+2129344$	2.3.0.a.1, 4.12.0.d.1, 24.24.0.z.1, 40.24.0.bf.1, 56.24.0-4.d.1.4, $\ldots$	$[]$
81120.m4	81120e2	81120.m	81120e	$4$	$4$	$ 2^{5} \cdot 3 \cdot 5 \cdot 13^{2} $	$ - 2^{12} \cdot 3^{2} \cdot 5^{4} \cdot 13^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.9	2B	$3120$	$192$	$3$	$1.575800444$	$1$		$5$	$294912$	$1.374794$	$85184/5625$	$1.15009$	$3.51995$	$[0, -1, 0, 2479, 504321]$	$y^2=x^3-x^2+2479x+504321$	2.3.0.a.1, 4.12.0.d.1, 24.24.0.z.1, 40.24.0.bf.1, 52.24.0-4.d.1.1, $\ldots$	$[(-17, 676)]$
81120.bd4	81120t2	81120.bd	81120t	$4$	$4$	$ 2^{5} \cdot 3 \cdot 5 \cdot 13^{2} $	$ - 2^{12} \cdot 3^{2} \cdot 5^{4} \cdot 13^{6} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.9	2B	$3120$	$192$	$3$	$4.909670508$	$1$		$9$	$294912$	$1.374794$	$85184/5625$	$1.15009$	$3.51995$	$[0, 1, 0, 2479, -504321]$	$y^2=x^3+x^2+2479x-504321$	2.3.0.a.1, 4.12.0.d.1, 24.24.0.z.1, 40.24.0.bf.1, 52.24.0-4.d.1.1, $\ldots$	$[(82, 507), (186, 2535)]$
116160.d4	116160ga1	116160.d	116160ga	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5 \cdot 11^{2} $	$ - 2^{6} \cdot 3^{2} \cdot 5^{4} \cdot 11^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.9	2B	$2640$	$192$	$3$	$2.970455715$	$1$		$3$	$184320$	$0.944694$	$85184/5625$	$1.15009$	$2.96904$	$[0, -1, 0, 444, 38106]$	$y^2=x^3-x^2+444x+38106$	2.3.0.a.1, 4.12.0.d.1, 24.24.0.z.1, 40.24.0.bf.1, 80.48.0.?, $\ldots$	$[(71, 650)]$
116160.gy4	116160ib1	116160.gy	116160ib	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5 \cdot 11^{2} $	$ - 2^{6} \cdot 3^{2} \cdot 5^{4} \cdot 11^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.9	2B	$2640$	$192$	$3$	$1$	$4$	$2$	$1$	$184320$	$0.944694$	$85184/5625$	$1.15009$	$2.96904$	$[0, 1, 0, 444, -38106]$	$y^2=x^3+x^2+444x-38106$	2.3.0.a.1, 4.12.0.d.1, 24.24.0.z.1, 40.24.0.bf.1, 80.48.0.?, $\ldots$	$[]$
117600.bw4	117600n2	117600.bw	117600n	$4$	$4$	$ 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} $	$ - 2^{12} \cdot 3^{2} \cdot 5^{10} \cdot 7^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.9	2B	$1680$	$192$	$3$	$1$	$1$		$1$	$884736$	$1.869993$	$85184/5625$	$1.15009$	$3.91697$	$[0, -1, 0, 17967, -9864063]$	$y^2=x^3-x^2+17967x-9864063$	2.3.0.a.1, 4.12.0.d.1, 24.24.0.z.1, 40.24.0.bf.1, 56.24.0-4.d.1.2, $\ldots$	$[]$
117600.gb4	117600cq2	117600.gb	117600cq	$4$	$4$	$ 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} $	$ - 2^{12} \cdot 3^{2} \cdot 5^{10} \cdot 7^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.9	2B	$1680$	$192$	$3$	$3.443273632$	$1$		$3$	$884736$	$1.869993$	$85184/5625$	$1.15009$	$3.91697$	$[0, 1, 0, 17967, 9864063]$	$y^2=x^3+x^2+17967x+9864063$	2.3.0.a.1, 4.12.0.d.1, 24.24.0.z.1, 40.24.0.bf.1, 56.24.0-4.d.1.2, $\ldots$	$[(597, 15288)]$
138720.b4	138720w3	138720.b	138720w	$4$	$4$	$ 2^{5} \cdot 3 \cdot 5 \cdot 17^{2} $	$ - 2^{12} \cdot 3^{2} \cdot 5^{4} \cdot 17^{6} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.9	2B	$4080$	$192$	$3$	$2.116113255$	$1$		$17$	$589824$	$1.508926$	$85184/5625$	$1.15009$	$3.49638$	$[0, -1, 0, 4239, -1131039]$	$y^2=x^3-x^2+4239x-1131039$	2.3.0.a.1, 4.12.0.d.1, 24.24.0.z.1, 40.24.0.bf.1, 68.24.0-4.d.1.1, $\ldots$	$[(125, 1156), (363, 6936)]$
138720.bd4	138720n3	138720.bd	138720n	$4$	$4$	$ 2^{5} \cdot 3 \cdot 5 \cdot 17^{2} $	$ - 2^{12} \cdot 3^{2} \cdot 5^{4} \cdot 17^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.9	2B	$4080$	$192$	$3$	$1.652730262$	$1$		$3$	$589824$	$1.508926$	$85184/5625$	$1.15009$	$3.49638$	$[0, 1, 0, 4239, 1131039]$	$y^2=x^3+x^2+4239x+1131039$	2.3.0.a.1, 4.12.0.d.1, 24.24.0.z.1, 40.24.0.bf.1, 68.24.0-4.d.1.1, $\ldots$	$[(215, 3468)]$
141120.dr4	141120ds1	141120.dr	141120ds	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 7^{2} $	$ - 2^{6} \cdot 3^{8} \cdot 5^{4} \cdot 7^{6} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.9	2B	$1680$	$192$	$3$	$18.48959110$	$1$		$5$	$294912$	$1.268007$	$85184/5625$	$1.15009$	$3.24751$	$[0, 0, 0, 1617, -266168]$	$y^2=x^3+1617x-266168$	2.3.0.a.1, 4.12.0.d.1, 24.24.0.z.1, 28.24.0-4.d.1.2, 40.24.0.bf.1, $\ldots$	$[(252, 4018), (632, 15912)]$
141120.ds4	141120dt1	141120.ds	141120dt	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 7^{2} $	$ - 2^{6} \cdot 3^{8} \cdot 5^{4} \cdot 7^{6} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.9	2B	$1680$	$192$	$3$	$11.87715740$	$1$		$5$	$294912$	$1.268007$	$85184/5625$	$1.15009$	$3.24751$	$[0, 0, 0, 1617, 266168]$	$y^2=x^3+1617x+266168$	2.3.0.a.1, 4.12.0.d.1, 24.24.0.z.1, 28.24.0-4.d.1.2, 40.24.0.bf.1, $\ldots$	$[(44, 650), (88, 1044)]$
162240.cd4	162240bz1	162240.cd	162240bz	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} $	$ - 2^{6} \cdot 3^{2} \cdot 5^{4} \cdot 13^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.9	2B	$3120$	$192$	$3$	$1.445875241$	$1$		$3$	$294912$	$1.028221$	$85184/5625$	$1.15009$	$2.96991$	$[0, -1, 0, 620, -63350]$	$y^2=x^3-x^2+620x-63350$	2.3.0.a.1, 4.12.0.d.1, 24.24.0.z.1, 40.24.0.bf.1, 80.48.0.?, $\ldots$	$[(295, 5070)]$
162240.ig4	162240u1	162240.ig	162240u	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} $	$ - 2^{6} \cdot 3^{2} \cdot 5^{4} \cdot 13^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.9	2B	$3120$	$192$	$3$	$1$	$1$		$1$	$294912$	$1.028221$	$85184/5625$	$1.15009$	$2.96991$	$[0, 1, 0, 620, 63350]$	$y^2=x^3+x^2+620x+63350$	2.3.0.a.1, 4.12.0.d.1, 24.24.0.z.1, 40.24.0.bf.1, 80.48.0.?, $\ldots$	$[]$
173280.bh4	173280cg3	173280.bh	173280cg	$4$	$4$	$ 2^{5} \cdot 3 \cdot 5 \cdot 19^{2} $	$ - 2^{12} \cdot 3^{2} \cdot 5^{4} \cdot 19^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.9	2B	$4560$	$192$	$3$	$2.783579937$	$1$		$5$	$921600$	$1.564539$	$85184/5625$	$1.15009$	$3.48723$	$[0, -1, 0, 5295, 1575297]$	$y^2=x^3-x^2+5295x+1575297$	2.3.0.a.1, 4.12.0.d.1, 24.24.0.z.1, 40.24.0.bf.1, 76.24.0.?, $\ldots$	$[(-81, 780)]$
173280.cc4	173280bl3	173280.cc	173280bl	$4$	$4$	$ 2^{5} \cdot 3 \cdot 5 \cdot 19^{2} $	$ - 2^{12} \cdot 3^{2} \cdot 5^{4} \cdot 19^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.9	2B	$4560$	$192$	$3$	$1$	$1$		$1$	$921600$	$1.564539$	$85184/5625$	$1.15009$	$3.48723$	$[0, 1, 0, 5295, -1575297]$	$y^2=x^3+x^2+5295x-1575297$	2.3.0.a.1, 4.12.0.d.1, 24.24.0.z.1, 40.24.0.bf.1, 76.24.0.?, $\ldots$	$[]$
174240.g4	174240r3	174240.g	174240r	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5 \cdot 11^{2} $	$ - 2^{12} \cdot 3^{8} \cdot 5^{4} \cdot 11^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.9	2B	$2640$	$192$	$3$	$1$	$1$		$1$	$1474560$	$1.840572$	$85184/5625$	$1.15009$	$3.76011$	$[0, 0, 0, 15972, -8262848]$	$y^2=x^3+15972x-8262848$	2.3.0.a.1, 4.12.0.d.1, 24.24.0.z.1, 40.24.0.bf.1, 80.48.0.?, $\ldots$	$[]$
174240.cj4	174240bq3	174240.cj	174240bq	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5 \cdot 11^{2} $	$ - 2^{12} \cdot 3^{8} \cdot 5^{4} \cdot 11^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.9	2B	$2640$	$192$	$3$	$1$	$1$		$1$	$1474560$	$1.840572$	$85184/5625$	$1.15009$	$3.76011$	$[0, 0, 0, 15972, 8262848]$	$y^2=x^3+15972x+8262848$	2.3.0.a.1, 4.12.0.d.1, 24.24.0.z.1, 40.24.0.bf.1, 80.48.0.?, $\ldots$	$[]$
235200.hs4	235200hs1	235200.hs	235200hs	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5^{2} \cdot 7^{2} $	$ - 2^{6} \cdot 3^{2} \cdot 5^{10} \cdot 7^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.9	2B	$1680$	$192$	$3$	$3.399856712$	$1$		$3$	$884736$	$1.523420$	$85184/5625$	$1.15009$	$3.36119$	$[0, -1, 0, 4492, 1230762]$	$y^2=x^3-x^2+4492x+1230762$	2.3.0.a.1, 4.12.0.d.1, 24.24.0.z.1, 40.24.0.bf.1, 56.24.0-4.d.1.3, $\ldots$	$[(103, 1666)]$
235200.wg4	235200wg1	235200.wg	235200wg	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5^{2} \cdot 7^{2} $	$ - 2^{6} \cdot 3^{2} \cdot 5^{10} \cdot 7^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.9	2B	$1680$	$192$	$3$	$1$	$4$	$2$	$1$	$884736$	$1.523420$	$85184/5625$	$1.15009$	$3.36119$	$[0, 1, 0, 4492, -1230762]$	$y^2=x^3+x^2+4492x-1230762$	2.3.0.a.1, 4.12.0.d.1, 24.24.0.z.1, 40.24.0.bf.1, 56.24.0-4.d.1.3, $\ldots$	$[]$
243360.cy4	243360cy3	243360.cy	243360cy	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} $	$ - 2^{12} \cdot 3^{8} \cdot 5^{4} \cdot 13^{6} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.9	2B	$3120$	$192$	$3$	$1.708013146$	$1$		$21$	$2359296$	$1.924101$	$85184/5625$	$1.15009$	$3.73963$	$[0, 0, 0, 22308, 13638976]$	$y^2=x^3+22308x+13638976$	2.3.0.a.1, 4.12.0.d.1, 24.24.0.z.1, 40.24.0.bf.1, 80.48.0.?, $\ldots$	$[(-78, 3380), (260, 6084)]$
243360.fg4	243360fg3	243360.fg	243360fg	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} $	$ - 2^{12} \cdot 3^{8} \cdot 5^{4} \cdot 13^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.9	2B	$3120$	$192$	$3$	$1$	$1$		$1$	$2359296$	$1.924101$	$85184/5625$	$1.15009$	$3.73963$	$[0, 0, 0, 22308, -13638976]$	$y^2=x^3+22308x-13638976$	2.3.0.a.1, 4.12.0.d.1, 24.24.0.z.1, 40.24.0.bf.1, 80.48.0.?, $\ldots$	$[]$
253920.t4	253920t3	253920.t	253920t	$4$	$4$	$ 2^{5} \cdot 3 \cdot 5 \cdot 23^{2} $	$ - 2^{12} \cdot 3^{2} \cdot 5^{4} \cdot 23^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.9	2B	$5520$	$192$	$3$	$4.008769803$	$1$		$3$	$1576960$	$1.660067$	$85184/5625$	$1.15009$	$3.47227$	$[0, -1, 0, 7759, -2800095]$	$y^2=x^3-x^2+7759x-2800095$	2.3.0.a.1, 4.12.0.d.1, 24.24.0.z.1, 40.24.0.bf.1, 80.48.0.?, $\ldots$	$[(221, 3108)]$
253920.bp4	253920bp3	253920.bp	253920bp	$4$	$4$	$ 2^{5} \cdot 3 \cdot 5 \cdot 23^{2} $	$ - 2^{12} \cdot 3^{2} \cdot 5^{4} \cdot 23^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.9	2B	$5520$	$192$	$3$	$1$	$1$		$1$	$1576960$	$1.660067$	$85184/5625$	$1.15009$	$3.47227$	$[0, 1, 0, 7759, 2800095]$	$y^2=x^3+x^2+7759x+2800095$	2.3.0.a.1, 4.12.0.d.1, 24.24.0.z.1, 40.24.0.bf.1, 80.48.0.?, $\ldots$	$[]$
277440.es4	277440es1	277440.es	277440es	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} $	$ - 2^{6} \cdot 3^{2} \cdot 5^{4} \cdot 17^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.9	2B	$4080$	$192$	$3$	$2.191505203$	$1$		$3$	$589824$	$1.162352$	$85184/5625$	$1.15009$	$2.97120$	$[0, -1, 0, 1060, 140850]$	$y^2=x^3-x^2+1060x+140850$	2.3.0.a.1, 4.12.0.d.1, 24.24.0.z.1, 40.24.0.bf.1, 80.48.0.?, $\ldots$	$[(227, 3468)]$
277440.hi4	277440hi1	277440.hi	277440hi	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} $	$ - 2^{6} \cdot 3^{2} \cdot 5^{4} \cdot 17^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.9	2B	$4080$	$192$	$3$	$1$	$1$		$1$	$589824$	$1.162352$	$85184/5625$	$1.15009$	$2.97120$	$[0, 1, 0, 1060, -140850]$	$y^2=x^3+x^2+1060x-140850$	2.3.0.a.1, 4.12.0.d.1, 24.24.0.z.1, 40.24.0.bf.1, 80.48.0.?, $\ldots$	$[]$
290400.dh4	290400dh3	290400.dh	290400dh	$4$	$4$	$ 2^{5} \cdot 3 \cdot 5^{2} \cdot 11^{2} $	$ - 2^{12} \cdot 3^{2} \cdot 5^{10} \cdot 11^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.9	2B	$2640$	$192$	$3$	$1.923268690$	$1$		$5$	$4423680$	$2.095985$	$85184/5625$	$1.15009$	$3.85107$	$[0, -1, 0, 44367, 38239137]$	$y^2=x^3-x^2+44367x+38239137$	2.3.0.a.1, 4.12.0.d.1, 24.24.0.z.1, 40.24.0.bf.1, 80.48.0.?, $\ldots$	$[(312, 9075)]$
290400.dx4	290400dx3	290400.dx	290400dx	$4$	$4$	$ 2^{5} \cdot 3 \cdot 5^{2} \cdot 11^{2} $	$ - 2^{12} \cdot 3^{2} \cdot 5^{10} \cdot 11^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.9	2B	$2640$	$192$	$3$	$1$	$1$		$1$	$4423680$	$2.095985$	$85184/5625$	$1.15009$	$3.85107$	$[0, 1, 0, 44367, -38239137]$	$y^2=x^3+x^2+44367x-38239137$	2.3.0.a.1, 4.12.0.d.1, 24.24.0.z.1, 40.24.0.bf.1, 80.48.0.?, $\ldots$	$[]$

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Elliptic curves over $\Q$
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Genus 2 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.

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