LMFDB - Elliptic curves over $\Q$ of conductor 570

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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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Results (42 matches)

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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
570.a1	570b2	570.a	570b	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$ 2^{7} \cdot 3 \cdot 5^{6} \cdot 19^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$0$	$672$	$0.669518$	$882774443450089/2166000000$	$0.98264$	$5.42327$	$[1, 1, 0, -1998, -35148]$	$y^2+xy=x^3+x^2-1998x-35148$	2.3.0.a.1, 24.6.0.a.1, 380.6.0.?, 2280.12.0.?	$[]$
570.a2	570b1	570.a	570b	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$ - 2^{14} \cdot 3^{2} \cdot 5^{3} \cdot 19 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$336$	$0.322944$	$-53540005609/350208000$	$0.96547$	$4.28854$	$[1, 1, 0, -78, -972]$	$y^2+xy=x^3+x^2-78x-972$	2.3.0.a.1, 24.6.0.d.1, 190.6.0.?, 2280.12.0.?	$[]$
570.b1	570a2	570.b	570a	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$ 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 19 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$1140$	$12$	$0$	$0.311649543$	$1$		$10$	$384$	$0.443991$	$468898230633769/5540400$	$0.97926$	$5.32356$	$[1, 1, 0, -1618, 24388]$	$y^2+xy=x^3+x^2-1618x+24388$	2.3.0.a.1, 60.6.0.c.1, 76.6.0.?, 1140.12.0.?	$[(16, 46)]$
570.b2	570a1	570.b	570a	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$ - 2^{8} \cdot 3^{3} \cdot 5 \cdot 19^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$1140$	$12$	$0$	$0.623299087$	$1$		$7$	$192$	$0.097417$	$-105756712489/12476160$	$0.92671$	$4.02953$	$[1, 1, 0, -98, 372]$	$y^2+xy=x^3+x^2-98x+372$	2.3.0.a.1, 30.6.0.a.1, 76.6.0.?, 1140.12.0.?	$[(4, 6)]$
570.c1	570c2	570.c	570c	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$ 2^{2} \cdot 3^{2} \cdot 5^{6} \cdot 19 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$1140$	$12$	$0$	$0.102645889$	$1$		$16$	$192$	$0.248066$	$6947097508441/10687500$	$0.95430$	$4.65979$	$[1, 1, 0, -397, 2881]$	$y^2+xy=x^3+x^2-397x+2881$	2.3.0.a.1, 60.6.0.c.1, 76.6.0.?, 1140.12.0.?	$[(-8, 79)]$
570.c2	570c1	570.c	570c	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$ - 2^{4} \cdot 3 \cdot 5^{3} \cdot 19^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$1140$	$12$	$0$	$0.205291779$	$1$		$11$	$96$	$-0.098508$	$-594823321/2166000$	$1.06643$	$3.49699$	$[1, 1, 0, -17, 69]$	$y^2+xy=x^3+x^2-17x+69$	2.3.0.a.1, 30.6.0.a.1, 76.6.0.?, 1140.12.0.?	$[(-2, 11)]$
570.d1	570d3	570.d	570d	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$ 2^{7} \cdot 3^{20} \cdot 5 \cdot 19^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.7	2B	$120$	$48$	$0$	$1$	$1$		$0$	$8960$	$2.073406$	$207530301091125281552569/805586668007040$	$1.05095$	$8.46086$	$[1, 0, 1, -1233444, -527363678]$	$y^2+xy+y=x^3-1233444x-527363678$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 20.12.0-4.c.1.1, 24.24.0-24.y.1.8, $\ldots$	$[]$
570.d2	570d4	570.d	570d	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$ 2^{7} \cdot 3^{5} \cdot 5^{4} \cdot 19^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.8	2B	$120$	$48$	$0$	$1$	$1$		$0$	$8960$	$2.073406$	$1412712966892699019449/330160465517040000$	$1.04349$	$7.67453$	$[1, 0, 1, -233764, 33569186]$	$y^2+xy+y=x^3-233764x+33569186$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0-4.c.1.1, 24.24.0-24.s.1.4, $\ldots$	$[]$
570.d3	570d2	570.d	570d	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$ 2^{14} \cdot 3^{10} \cdot 5^{2} \cdot 19^{4} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.1	2Cs	$120$	$48$	$0$	$1$	$1$		$2$	$4480$	$1.726833$	$52974743974734147769/3152005008998400$	$1.02895$	$7.15710$	$[1, 0, 1, -78244, -7985758]$	$y^2+xy+y=x^3-78244x-7985758$	2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 24.24.0-24.b.1.2, $\ldots$	$[]$
570.d4	570d1	570.d	570d	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$ - 2^{28} \cdot 3^{5} \cdot 5 \cdot 19^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.12	2B	$120$	$48$	$0$	$1$	$1$		$1$	$2240$	$1.380260$	$5495662324535111/117739817533440$	$1.03950$	$6.27626$	$[1, 0, 1, 3676, -514654]$	$y^2+xy+y=x^3+3676x-514654$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.2, 20.12.0-4.c.1.2, $\ldots$	$[]$
570.e1	570e3	570.e	570e	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$ 2^{2} \cdot 3^{2} \cdot 5 \cdot 19^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.8	2B	$760$	$48$	$0$	$1.006520944$	$1$		$6$	$512$	$0.404687$	$100162392144121/23457780$	$0.97072$	$5.08031$	$[1, 0, 1, -968, -11662]$	$y^2+xy+y=x^3-968x-11662$	2.3.0.a.1, 4.12.0-4.c.1.2, 10.6.0.a.1, 20.24.0-20.g.1.1, 152.24.0.?, $\ldots$	$[(-18, 7)]$
570.e2	570e4	570.e	570e	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$ 2^{2} \cdot 3^{8} \cdot 5^{4} \cdot 19 $	$1$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.7	2B	$760$	$48$	$0$	$0.251630236$	$1$		$22$	$512$	$0.404687$	$9912050027641/311647500$	$0.95744$	$4.71580$	$[1, 0, 1, -448, 3506]$	$y^2+xy+y=x^3-448x+3506$	2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.z.1.4, 76.24.0.?, 760.48.0.?	$[(7, 23)]$
570.e3	570e2	570.e	570e	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$ 2^{4} \cdot 3^{4} \cdot 5^{2} \cdot 19^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.1	2Cs	$380$	$48$	$0$	$0.503260472$	$1$		$14$	$256$	$0.058114$	$34043726521/11696400$	$0.92900$	$3.82167$	$[1, 0, 1, -68, -142]$	$y^2+xy+y=x^3-68x-142$	2.6.0.a.1, 4.12.0-2.a.1.1, 20.24.0-20.b.1.2, 76.24.0.?, 380.48.0.?	$[(-3, 7)]$
570.e4	570e1	570.e	570e	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$ - 2^{8} \cdot 3^{2} \cdot 5 \cdot 19 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.6	2B	$760$	$48$	$0$	$1.006520944$	$1$		$5$	$128$	$-0.288460$	$214921799/218880$	$0.88983$	$3.02346$	$[1, 0, 1, 12, -14]$	$y^2+xy+y=x^3+12x-14$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.2, 40.24.0-40.z.1.10, $\ldots$	$[(2, 3)]$
570.f1	570f4	570.f	570f	$4$	$6$	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$ 2^{9} \cdot 3 \cdot 5^{2} \cdot 19^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$2280$	$96$	$1$	$1$	$1$		$0$	$864$	$1.119099$	$46237740924063961/1806561830400$	$1.00221$	$6.04708$	$[1, 0, 1, -7478, -240952]$	$y^2+xy+y=x^3-7478x-240952$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 24.48.0-24.ca.1.7, 380.6.0.?, $\ldots$	$[]$
570.f2	570f2	570.f	570f	$4$	$6$	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$ 2^{3} \cdot 3^{3} \cdot 5^{6} \cdot 19^{2} $	$0$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$2280$	$96$	$1$	$1$	$1$		$4$	$288$	$0.569794$	$148212258825961/1218375000$	$0.97315$	$5.14206$	$[1, 0, 1, -1103, 13898]$	$y^2+xy+y=x^3-1103x+13898$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 24.48.0-24.ca.1.15, 380.6.0.?, $\ldots$	$[]$
570.f3	570f1	570.f	570f	$4$	$6$	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$ - 2^{6} \cdot 3^{6} \cdot 5^{3} \cdot 19 $	$0$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$2280$	$96$	$1$	$1$	$1$		$5$	$144$	$0.223220$	$-1263214441/110808000$	$0.98712$	$4.09488$	$[1, 0, 1, -23, 506]$	$y^2+xy+y=x^3-23x+506$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 24.48.0-24.cd.1.15, 190.6.0.?, $\ldots$	$[]$
570.f4	570f3	570.f	570f	$4$	$6$	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$ - 2^{18} \cdot 3^{2} \cdot 5 \cdot 19^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$2280$	$96$	$1$	$1$	$1$		$1$	$432$	$0.772526$	$918046641959/80912056320$	$1.02394$	$5.13184$	$[1, 0, 1, 202, -13624]$	$y^2+xy+y=x^3+202x-13624$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 24.48.0-24.cd.1.11, 190.6.0.?, $\ldots$	$[]$
570.g1	570g3	570.g	570g	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$ 2 \cdot 3 \cdot 5^{8} \cdot 19 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.24.0.102	2B	$456$	$48$	$0$	$1$	$4$	$2$	$0$	$256$	$0.362917$	$26487576322129/44531250$	$0.96284$	$4.87070$	$[1, 1, 1, -621, -6207]$	$y^2+xy+y=x^3+x^2-621x-6207$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.5, 228.12.0.?, 456.48.0.?	$[]$
570.g2	570g2	570.g	570g	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$ 2^{2} \cdot 3^{2} \cdot 5^{4} \cdot 19^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.24.0.4	2Cs	$456$	$48$	$0$	$1$	$1$		$2$	$128$	$0.016344$	$14688124849/8122500$	$0.96350$	$3.68920$	$[1, 1, 1, -51, -51]$	$y^2+xy+y=x^3+x^2-51x-51$	2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.2, 228.24.0.?, 456.48.0.?	$[]$
570.g3	570g1	570.g	570g	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 $	$0$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.24.0.53	2B	$456$	$48$	$0$	$1$	$1$		$3$	$64$	$-0.330230$	$3301293169/22800$	$0.89080$	$3.45396$	$[1, 1, 1, -31, 53]$	$y^2+xy+y=x^3+x^2-31x+53$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.m.1.1, 114.6.0.?, 228.24.0.?, $\ldots$	$[]$
570.g4	570g4	570.g	570g	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$ - 2 \cdot 3^{4} \cdot 5^{2} \cdot 19^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.24.0.59	2B	$456$	$48$	$0$	$1$	$1$		$0$	$256$	$0.362917$	$871257511151/527800050$	$0.99326$	$4.33262$	$[1, 1, 1, 199, -151]$	$y^2+xy+y=x^3+x^2+199x-151$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.d.1.1, 456.48.0.?	$[]$
570.h1	570h2	570.h	570h	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$ 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$0$	$96$	$-0.296427$	$2992209121/54150$	$0.89013$	$3.43847$	$[1, 1, 1, -30, -75]$	$y^2+xy+y=x^3+x^2-30x-75$	2.3.0.a.1, 24.6.0.a.1, 380.6.0.?, 2280.12.0.?	$[]$
570.h2	570h1	570.h	570h	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$ - 2^{2} \cdot 3^{2} \cdot 5 \cdot 19 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$48$	$-0.643001$	$-1/3420$	$1.10256$	$2.45714$	$[1, 1, 1, 0, -3]$	$y^2+xy+y=x^3+x^2-3$	2.3.0.a.1, 24.6.0.d.1, 190.6.0.?, 2280.12.0.?	$[]$
570.i1	570i4	570.i	570i	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$ 2^{2} \cdot 3^{5} \cdot 5 \cdot 19 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.6	2B	$2280$	$48$	$0$	$1$	$4$	$2$	$0$	$3840$	$1.487488$	$13209596798923694545921/92340$	$1.04393$	$8.02681$	$[1, 1, 1, -492480, 132819117]$	$y^2+xy+y=x^3+x^2-492480x+132819117$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 60.12.0-4.c.1.1, 76.12.0.?, $\ldots$	$[]$
570.i2	570i3	570.i	570i	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$ 2^{2} \cdot 3^{20} \cdot 5^{4} \cdot 19 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.8	2B	$2280$	$48$	$0$	$1$	$1$		$0$	$3840$	$1.487488$	$3345930611358906241/165622259047500$	$1.08127$	$6.72183$	$[1, 1, 1, -31160, 2011565]$	$y^2+xy+y=x^3+x^2-31160x+2011565$	2.3.0.a.1, 4.12.0-4.c.1.2, 76.24.0.?, 120.24.0.?, 2280.48.0.?	$[]$
570.i3	570i2	570.i	570i	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$ 2^{4} \cdot 3^{10} \cdot 5^{2} \cdot 19^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.1	2Cs	$1140$	$48$	$0$	$1$	$1$		$2$	$1920$	$1.140915$	$3225005357698077121/8526675600$	$1.01809$	$6.71603$	$[1, 1, 1, -30780, 2065677]$	$y^2+xy+y=x^3+x^2-30780x+2065677$	2.6.0.a.1, 4.12.0-2.a.1.1, 60.24.0-60.b.1.1, 76.24.0.?, 1140.48.0.?	$[]$
570.i4	570i1	570.i	570i	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$ - 2^{8} \cdot 3^{5} \cdot 5 \cdot 19^{4} $	$0$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.7	2B	$2280$	$48$	$0$	$1$	$1$		$3$	$960$	$0.794341$	$-758575480593601/40535043840$	$0.98308$	$5.41329$	$[1, 1, 1, -1900, 32525]$	$y^2+xy+y=x^3+x^2-1900x+32525$	2.3.0.a.1, 4.12.0-4.c.1.1, 30.6.0.a.1, 60.24.0-60.g.1.3, 152.24.0.?, $\ldots$	$[]$
570.j1	570j2	570.j	570j	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$ 2 \cdot 3^{7} \cdot 5^{2} \cdot 19^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$0$	$1120$	$0.968070$	$1403607530712116449/39475350$	$1.20544$	$6.58493$	$[1, 0, 0, -23326, -1373170]$	$y^2+xy=x^3-23326x-1373170$	2.3.0.a.1, 24.6.0.a.1, 380.6.0.?, 2280.12.0.?	$[]$
570.j2	570j1	570.j	570j	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$ - 2^{2} \cdot 3^{14} \cdot 5 \cdot 19 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$560$	$0.621496$	$-341370886042369/1817528220$	$1.07626$	$5.27499$	$[1, 0, 0, -1456, -21604]$	$y^2+xy=x^3-1456x-21604$	2.3.0.a.1, 24.6.0.d.1, 190.6.0.?, 2280.12.0.?	$[]$
570.k1	570k4	570.k	570k	$4$	$6$	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$ 2^{4} \cdot 3^{2} \cdot 5^{18} \cdot 19^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$1140$	$96$	$1$	$1$	$1$		$0$	$17280$	$2.266361$	$10993009831928446009969/3767761230468750000$	$1.05315$	$7.99787$	$[1, 0, 0, -463231, 77449961]$	$y^2+xy=x^3-463231x+77449961$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 60.48.0-60.t.1.15, 76.6.0.?, $\ldots$	$[]$
570.k2	570k2	570.k	570k	$4$	$6$	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$ 2^{12} \cdot 3^{6} \cdot 5^{6} \cdot 19 $	$0$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$1140$	$96$	$1$	$1$	$1$		$4$	$5760$	$1.717052$	$7903870428425797297009/886464000000$	$1.04255$	$7.94588$	$[1, 0, 0, -414991, 102863225]$	$y^2+xy=x^3-414991x+102863225$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 60.48.0-60.t.1.16, 76.6.0.?, $\ldots$	$[]$
570.k3	570k1	570.k	570k	$4$	$6$	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$ - 2^{24} \cdot 3^{3} \cdot 5^{3} \cdot 19^{2} $	$0$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$1140$	$96$	$1$	$1$	$1$		$5$	$2880$	$1.370480$	$-1914980734749238129/20440940544000$	$1.01640$	$6.63677$	$[1, 0, 0, -25871, 1614201]$	$y^2+xy=x^3-25871x+1614201$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 30.48.0-30.b.1.4, 76.6.0.?, $\ldots$	$[]$
570.k4	570k3	570.k	570k	$4$	$6$	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$ - 2^{8} \cdot 3 \cdot 5^{9} \cdot 19^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$1140$	$96$	$1$	$1$	$1$		$1$	$8640$	$1.919786$	$69096190760262356111/70568821500000000$	$1.04449$	$7.19897$	$[1, 0, 0, 85489, 8420985]$	$y^2+xy=x^3+85489x+8420985$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 30.48.0-30.b.1.3, 76.6.0.?, $\ldots$	$[]$
570.l1	570l4	570.l	570l	$4$	$10$	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 19^{5} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 5$	2.3.0.1, 5.24.0.3	2B, 5B.1.2	$1140$	$288$	$5$	$1$	$25$	$5$	$0$	$24000$	$2.608829$	$16300610738133468173382620881/2228489100$	$1.07409$	$10.23711$	$[1, 0, 0, -52823445, -147775056075]$	$y^2+xy=x^3-52823445x-147775056075$	2.3.0.a.1, 5.24.0-5.a.2.2, 10.72.0-10.a.1.2, 60.144.1-60.cj.1.4, 76.6.0.?, $\ldots$	$[]$
570.l2	570l3	570.l	570l	$4$	$10$	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$ - 2^{4} \cdot 3 \cdot 5 \cdot 19^{10} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 5$	2.3.0.1, 5.24.0.3	2B, 5B.1.2	$1140$	$288$	$5$	$1$	$25$	$5$	$1$	$12000$	$2.262257$	$-3979640234041473454886161/1471455901872240$	$1.05780$	$8.92633$	$[1, 0, 0, -3301465, -2309192023]$	$y^2+xy=x^3-3301465x-2309192023$	2.3.0.a.1, 5.24.0-5.a.2.2, 10.72.0-10.a.1.2, 30.144.1-30.i.2.4, 76.6.0.?, $\ldots$	$[]$
570.l3	570l2	570.l	570l	$4$	$10$	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$ 2^{10} \cdot 3^{10} \cdot 5^{10} \cdot 19 $	$0$	$\Z/10\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 5$	2.3.0.1, 5.24.0.1	2B, 5B.1.1	$1140$	$288$	$5$	$1$	$1$		$8$	$4800$	$1.804110$	$75224183150104868881/11219310000000000$	$1.03228$	$7.21236$	$[1, 0, 0, -87945, -8655975]$	$y^2+xy=x^3-87945x-8655975$	2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 60.144.1-60.cj.2.4, 76.6.0.?, $\ldots$	$[]$
570.l4	570l1	570.l	570l	$4$	$10$	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$ - 2^{20} \cdot 3^{5} \cdot 5^{5} \cdot 19^{2} $	$0$	$\Z/10\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 5$	2.3.0.1, 5.24.0.1	2B, 5B.1.1	$1140$	$288$	$5$	$1$	$1$		$9$	$2400$	$1.457537$	$89962967236397039/287450726400000$	$1.02813$	$6.38974$	$[1, 0, 0, 9335, -737383]$	$y^2+xy=x^3+9335x-737383$	2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 30.144.1-30.i.1.4, 76.6.0.?, $\ldots$	$[]$
570.m1	570m4	570.m	570m	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.6	2B	$2280$	$48$	$0$	$1$	$4$	$2$	$0$	$384$	$0.364515$	$3107086841064961/570$	$0.98891$	$5.62157$	$[1, 0, 0, -3040, 64262]$	$y^2+xy=x^3-3040x+64262$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.y.1.6, 380.12.0.?, $\ldots$	$[]$
570.m2	570m3	570.m	570m	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$ 2 \cdot 3 \cdot 5^{4} \cdot 19^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.8	2B	$2280$	$48$	$0$	$1$	$1$		$0$	$384$	$0.364515$	$1177918188481/488703750$	$0.96253$	$4.38014$	$[1, 0, 0, -220, 650]$	$y^2+xy=x^3-220x+650$	2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.s.1.1, 760.24.0.?, 2280.48.0.?	$[]$
570.m3	570m2	570.m	570m	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.1	2Cs	$2280$	$48$	$0$	$1$	$1$		$2$	$192$	$0.017942$	$758800078561/324900$	$0.93871$	$4.31084$	$[1, 0, 0, -190, 992]$	$y^2+xy=x^3-190x+992$	2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.b.1.4, 380.24.0.?, 2280.48.0.?	$[]$
570.m4	570m1	570.m	570m	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$ - 2^{4} \cdot 3^{4} \cdot 5 \cdot 19 $	$0$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.7	2B	$2280$	$48$	$0$	$1$	$1$		$3$	$96$	$-0.328632$	$-111284641/123120$	$0.87799$	$3.08816$	$[1, 0, 0, -10, 20]$	$y^2+xy=x^3-10x+20$	2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.y.1.4, 190.6.0.?, 380.24.0.?, $\ldots$	$[]$

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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.

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