Elliptic curves over Q\Q of conductor 56784

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	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
56784.a1	56784bt1	56784.a	56784bt	$2$	$2$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$2^{4} \cdot 3^{8} \cdot 7^{6} \cdot 13^{9}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.31	2B	$4368$	$96$	$3$	$10.24123540$	$1$		$1$	$7188480$	$3.116127$	$416013434950254592/771895089$	$1.18442$	$6.06802$	$[0, -1, 0, -86098965, 307528130376]$	$y^2=x^3-x^2-86098965x+307528130376$	2.3.0.a.1, 4.6.0.e.1, 8.12.0.v.1, 26.6.0.b.1, 28.12.0.m.1, $\ldots$	$[(1368644/17, 379668758/17)]$
56784.a2	56784bt2	56784.a	56784bt	$2$	$2$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$- 2^{8} \cdot 3^{4} \cdot 7^{12} \cdot 13^{9}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.29	2B	$4368$	$96$	$3$	$20.48247080$	$1$		$1$	$14376960$	$3.462700$	$-25203028990703632/1121144263281$	$1.02481$	$6.07193$	$[0, -1, 0, -85209180, 314194399596]$	$y^2=x^3-x^2-85209180x+314194399596$	2.3.0.a.1, 4.6.0.e.1, 8.12.0.s.1, 48.24.0.l.1, 52.12.0.l.1, $\ldots$	$[(39433387685/2623, 2140273918632538/2623)]$
56784.b1	56784c1	56784.b	56784c	$1$	$1$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$- 2^{8} \cdot 3^{6} \cdot 7^{5} \cdot 13^{3}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$182$	$2$	$0$	$1$	$1$		$0$	$161280$	$1.165668$	$-20380171264/12252303$	$0.97705$	$3.44297$	$[0, -1, 0, -4697, -175371]$	$y^2=x^3-x^2-4697x-175371$	182.2.0.?	$[]$
56784.c1	56784ci1	56784.c	56784ci	$2$	$5$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$- 2^{17} \cdot 3^{5} \cdot 7 \cdot 13^{9}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.6.0.1	5B	$10920$	$48$	$1$	$1$	$1$		$0$	$3744000$	$2.842545$	$-82318551880501/54432$	$1.01009$	$5.79555$	$[0, -1, 0, -31857232, 69219276736]$	$y^2=x^3-x^2-31857232x+69219276736$	5.6.0.a.1, 65.12.0.a.2, 260.24.0.?, 840.12.0.?, 2184.2.0.?, $\ldots$	$[]$
56784.c2	56784ci2	56784.c	56784ci	$2$	$5$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$- 2^{37} \cdot 3 \cdot 7^{5} \cdot 13^{9}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.6.0.1	5B	$10920$	$48$	$1$	$1$	$1$		$0$	$18720000$	$3.647263$	$721710134999099/1691848015872$	$1.20310$	$6.09576$	$[0, -1, 0, 65689568, 357910138624]$	$y^2=x^3-x^2+65689568x+357910138624$	5.6.0.a.1, 65.12.0.a.1, 260.24.0.?, 840.12.0.?, 2184.2.0.?, $\ldots$	$[]$
56784.d1	56784ch2	56784.d	56784ch	$2$	$5$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$- 2^{12} \cdot 3^{2} \cdot 7^{5} \cdot 13^{3}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.6.0.1	5B	$1820$	$48$	$1$	$1$	$1$		$0$	$480000$	$1.896305$	$-13383627864961024/151263$	$1.15507$	$4.85479$	$[0, -1, 0, -1028837, -401325939]$	$y^2=x^3-x^2-1028837x-401325939$	5.6.0.a.1, 65.12.0.a.1, 70.12.0.a.1, 182.2.0.?, 260.24.0.?, $\ldots$	$[]$
56784.d2	56784ch1	56784.d	56784ch	$2$	$5$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$- 2^{12} \cdot 3^{10} \cdot 7 \cdot 13^{3}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.6.0.1	5B	$1820$	$48$	$1$	$1$	$1$		$0$	$96000$	$1.091585$	$5451776/413343$	$1.25184$	$3.32435$	$[0, -1, 0, 763, -92691]$	$y^2=x^3-x^2+763x-92691$	5.6.0.a.1, 65.12.0.a.2, 70.12.0.a.2, 182.2.0.?, 260.24.0.?, $\ldots$	$[]$
56784.e1	56784cc3	56784.e	56784cc	$3$	$9$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$- 2^{39} \cdot 3 \cdot 7 \cdot 13^{7}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.12.0.1	3B	$6552$	$144$	$3$	$2.648717279$	$1$		$2$	$7838208$	$3.127083$	$-1956469094246217097/36641439744$	$1.01732$	$6.01307$	$[0, -1, 0, -70456832, 227658891264]$	$y^2=x^3-x^2-70456832x+227658891264$	3.4.0.a.1, 9.12.0.a.1, 156.8.0.?, 168.8.0.?, 468.24.0.?, $\ldots$	$[(4858, 2366)]$
56784.e2	56784cc2	56784.e	56784cc	$3$	$9$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$- 2^{21} \cdot 3^{3} \cdot 7^{3} \cdot 13^{9}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.12.0.1	3Cs	$6552$	$144$	$3$	$0.882905759$	$1$		$4$	$2612736$	$2.577774$	$-198461344537/10417365504$	$1.00967$	$4.95477$	$[0, -1, 0, -328592, 694378944]$	$y^2=x^3-x^2-328592x+694378944$	3.12.0.a.1, 156.24.0.?, 168.24.0.?, 819.36.0.?, 2184.48.1.?, $\ldots$	$[(802, 30758)]$
56784.e3	56784cc1	56784.e	56784cc	$3$	$9$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$- 2^{15} \cdot 3^{9} \cdot 7 \cdot 13^{7}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.12.0.1	3B	$6552$	$144$	$3$	$2.648717279$	$1$		$2$	$870912$	$2.028469$	$270840023/14329224$	$0.96753$	$4.35087$	$[0, -1, 0, 36448, -25479936]$	$y^2=x^3-x^2+36448x-25479936$	3.4.0.a.1, 9.12.0.a.1, 156.8.0.?, 168.8.0.?, 468.24.0.?, $\ldots$	$[(490, 10478)]$
56784.f1	56784bq3	56784.f	56784bq	$4$	$10$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$2^{22} \cdot 3 \cdot 7^{5} \cdot 13^{9}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.6.0.1	2B, 5B	$10920$	$288$	$5$	$30.55619354$	$1$		$1$	$3744000$	$3.058666$	$124318741396429/51631104$	$1.01214$	$5.83321$	$[0, -1, 0, -36550024, -85008330512]$	$y^2=x^3-x^2-36550024x-85008330512$	2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 40.36.0.c.1, 65.12.0.a.1, $\ldots$	$[(381333639852724/107571, 7311094279349567253760/107571)]$
56784.f2	56784bq4	56784.f	56784bq	$4$	$10$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$- 2^{17} \cdot 3^{2} \cdot 7^{10} \cdot 13^{9}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.6.0.1	2B, 5B	$10920$	$288$	$5$	$15.27809677$	$1$		$1$	$7488000$	$3.405243$	$-75306487574989/81352871712$	$1.10847$	$5.88362$	$[0, -1, 0, -30925704, -112068058896]$	$y^2=x^3-x^2-30925704x-112068058896$	2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 40.36.0.f.1, 65.12.0.a.1, $\ldots$	$[(69258804/23, 575847954720/23)]$
56784.f3	56784bq1	56784.f	56784bq	$4$	$10$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$2^{14} \cdot 3^{5} \cdot 7 \cdot 13^{9}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.6.0.1	2B, 5B	$10920$	$288$	$5$	$6.111238709$	$1$		$1$	$748800$	$2.253948$	$4649101309/6804$	$0.94447$	$4.90200$	$[0, -1, 0, -1222264, 519860080]$	$y^2=x^3-x^2-1222264x+519860080$	2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 40.36.0.c.2, 65.12.0.a.2, $\ldots$	$[(5980/3, 21520/3)]$
56784.f4	56784bq2	56784.f	56784bq	$4$	$10$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$- 2^{13} \cdot 3^{10} \cdot 7^{2} \cdot 13^{9}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.6.0.1	2B, 5B	$10920$	$288$	$5$	$3.055619354$	$1$		$3$	$1497600$	$2.600521$	$-1680914269/5786802$	$1.04977$	$4.98616$	$[0, -1, 0, -870744, 824698224]$	$y^2=x^3-x^2-870744x+824698224$	2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 40.36.0.f.2, 65.12.0.a.2, $\ldots$	$[(948, 29160)]$
56784.g1	56784b4	56784.g	56784b	$4$	$4$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$2^{10} \cdot 3^{4} \cdot 7 \cdot 13^{6}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2184$	$48$	$0$	$5.328432696$	$1$		$1$	$147456$	$1.289434$	$381775972/567$	$0.96461$	$3.84411$	$[0, -1, 0, -25744, -1579280]$	$y^2=x^3-x^2-25744x-1579280$	2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0.h.1, 52.12.0-4.c.1.1, $\ldots$	$[(1849/3, 35828/3)]$
56784.g2	56784b2	56784.g	56784b	$4$	$4$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$2^{8} \cdot 3^{2} \cdot 7^{2} \cdot 13^{6}$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$1092$	$48$	$0$	$2.664216348$	$1$		$7$	$73728$	$0.942860$	$810448/441$	$0.95393$	$3.15522$	$[0, -1, 0, -2084, -8256]$	$y^2=x^3-x^2-2084x-8256$	2.6.0.a.1, 12.12.0.b.1, 28.12.0.a.1, 52.12.0-2.a.1.1, 84.24.0.?, $\ldots$	$[(-16, 144)]$
56784.g3	56784b1	56784.g	56784b	$4$	$4$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{6}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2184$	$48$	$0$	$5.328432696$	$1$		$1$	$36864$	$0.596287$	$2725888/21$	$0.93026$	$3.01275$	$[0, -1, 0, -1239, 17094]$	$y^2=x^3-x^2-1239x+17094$	2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 42.6.0.a.1, 56.12.0.ba.1, $\ldots$	$[(262/3, 1880/3)]$
56784.g4	56784b3	56784.g	56784b	$4$	$4$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$- 2^{10} \cdot 3 \cdot 7^{4} \cdot 13^{6}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2184$	$48$	$0$	$1.332108174$	$1$		$7$	$147456$	$1.289434$	$11696828/7203$	$1.01215$	$3.52571$	$[0, -1, 0, 8056, -73152]$	$y^2=x^3-x^2+8056x-73152$	2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 52.12.0-4.c.1.2, $\ldots$	$[(22, 338)]$
56784.h1	56784cb4	56784.h	56784cb	$4$	$4$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$2^{13} \cdot 3 \cdot 7^{4} \cdot 13^{7}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2184$	$48$	$0$	$1.503545507$	$1$		$3$	$774144$	$2.099594$	$8020417344913/187278$	$0.95653$	$4.87991$	$[0, -1, 0, -1127624, -460502160]$	$y^2=x^3-x^2-1127624x-460502160$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0.bb.1, 104.12.0.?, $\ldots$	$[(1660, 47320)]$
56784.h2	56784cb2	56784.h	56784cb	$4$	$4$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$2^{14} \cdot 3^{2} \cdot 7^{2} \cdot 13^{8}$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$2184$	$48$	$0$	$3.007091015$	$1$		$7$	$387072$	$1.753021$	$2181825073/298116$	$0.95664$	$4.12998$	$[0, -1, 0, -73064, -6619536]$	$y^2=x^3-x^2-73064x-6619536$	2.6.0.a.1, 12.12.0-2.a.1.1, 56.12.0.a.1, 104.12.0.?, 168.24.0.?, $\ldots$	$[(-124, 720)]$
56784.h3	56784cb1	56784.h	56784cb	$4$	$4$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$2^{16} \cdot 3 \cdot 7 \cdot 13^{7}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2184$	$48$	$0$	$1.503545507$	$1$		$3$	$193536$	$1.406446$	$38272753/4368$	$0.84174$	$3.76064$	$[0, -1, 0, -18984, 908400]$	$y^2=x^3-x^2-18984x+908400$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 56.12.0.bb.1, 104.12.0.?, $\ldots$	$[(-134, 1014)]$
56784.h4	56784cb3	56784.h	56784cb	$4$	$4$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$- 2^{13} \cdot 3^{4} \cdot 7 \cdot 13^{10}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2184$	$48$	$0$	$6.014182030$	$1$		$3$	$774144$	$2.099594$	$8780064047/32388174$	$1.00545$	$4.41078$	$[0, -1, 0, 116216, -35390096]$	$y^2=x^3-x^2+116216x-35390096$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0.v.1, 104.12.0.?, $\ldots$	$[(2242, 107190)]$
56784.i1	56784bz1	56784.i	56784bz	$1$	$1$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$2^{29} \cdot 3 \cdot 7 \cdot 13^{4}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$5.961144931$	$1$		$0$	$274176$	$1.614147$	$368728437337/2752512$	$0.99450$	$4.12998$	$[0, -1, 0, -73064, -7528080]$	$y^2=x^3-x^2-73064x-7528080$	168.2.0.?	$[(-587/2, 883/2)]$
56784.j1	56784f4	56784.j	56784f	$4$	$4$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$2^{11} \cdot 3^{3} \cdot 7^{12} \cdot 13^{7}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2184$	$48$	$0$	$1$	$1$		$1$	$5419008$	$3.042168$	$8594236719188066/4858291807551$	$1.04589$	$5.45393$	$[0, -1, 0, -9158504, 1626829008]$	$y^2=x^3-x^2-9158504x+1626829008$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0.bb.1, 104.12.0.?, $\ldots$	$[]$
56784.j2	56784f2	56784.j	56784f	$4$	$4$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$2^{10} \cdot 3^{6} \cdot 7^{6} \cdot 13^{8}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$2184$	$48$	$0$	$1$	$1$		$3$	$2709504$	$2.695591$	$6991270724335972/14494474449$	$0.98730$	$5.37175$	$[0, -1, 0, -6785744, 6793751184]$	$y^2=x^3-x^2-6785744x+6793751184$	2.6.0.a.1, 12.12.0-2.a.1.1, 56.12.0.a.1, 104.12.0.?, 168.24.0.?, $\ldots$	$[]$
56784.j3	56784f1	56784.j	56784f	$4$	$4$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$2^{8} \cdot 3^{3} \cdot 7^{3} \cdot 13^{7}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2184$	$48$	$0$	$1$	$1$		$1$	$1354752$	$2.349018$	$27923315228972368/120393$	$0.98725$	$5.37161$	$[0, -1, 0, -6782364, 6800865408]$	$y^2=x^3-x^2-6782364x+6800865408$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 56.12.0.bb.1, 104.12.0.?, $\ldots$	$[]$
56784.j4	56784f3	56784.j	56784f	$4$	$4$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$- 2^{11} \cdot 3^{12} \cdot 7^{3} \cdot 13^{10}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2184$	$48$	$0$	$1$	$1$		$1$	$5419008$	$3.042168$	$-997241325462146/5206220835543$	$1.01375$	$5.46771$	$[0, -1, 0, -4467064, 11505308944]$	$y^2=x^3-x^2-4467064x+11505308944$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0.v.1, 104.12.0.?, $\ldots$	$[]$
56784.k1	56784ca1	56784.k	56784ca	$1$	$1$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$- 2^{13} \cdot 3^{3} \cdot 7^{5} \cdot 13^{8}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$0.351065137$	$1$		$6$	$1572480$	$2.480015$	$-1223745654937/907578$	$0.97178$	$5.17690$	$[0, -1, 0, -3331384, 2342983408]$	$y^2=x^3-x^2-3331384x+2342983408$	168.2.0.?	$[(-732, 66248)]$
56784.l1	56784bg1	56784.l	56784bg	$1$	$1$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$- 2^{8} \cdot 3^{8} \cdot 7^{2} \cdot 13^{8}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.2.0.1		$56$	$4$	$0$	$1$	$1$		$0$	$359424$	$1.908142$	$2530736/321489$	$0.95836$	$4.21993$	$[0, -1, 0, 16844, 12432172]$	$y^2=x^3-x^2+16844x+12432172$	4.2.0.a.1, 56.4.0-4.a.1.1	$[]$
56784.m1	56784bf1	56784.m	56784bf	$1$	$1$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$- 2^{12} \cdot 3^{8} \cdot 7^{7} \cdot 13^{9}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$182$	$2$	$0$	$1$	$1$		$0$	$4515840$	$3.166134$	$1811564780171264/11870974573731$	$1.04721$	$5.58827$	$[0, -1, 0, 6867259, 22253052717]$	$y^2=x^3-x^2+6867259x+22253052717$	182.2.0.?	$[]$
56784.n1	56784bp1	56784.n	56784bp	$1$	$1$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$- 2^{25} \cdot 3^{11} \cdot 7^{3} \cdot 13^{3}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$12.46075736$	$1$		$0$	$988416$	$2.319370$	$-5022437771811277/497757560832$	$1.03078$	$4.77970$	$[0, -1, 0, -742096, -266048576]$	$y^2=x^3-x^2-742096x-266048576$	2184.2.0.?	$[(1544994/25, 1781460278/25)]$
56784.o1	56784bh1	56784.o	56784bh	$1$	$1$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$- 2^{17} \cdot 3 \cdot 7 \cdot 13^{7}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1$	$1$		$0$	$161280$	$1.456367$	$-47045881/8736$	$0.98493$	$3.80491$	$[0, -1, 0, -20336, 1289664]$	$y^2=x^3-x^2-20336x+1289664$	2184.2.0.?	$[]$
56784.p1	56784cf1	56784.p	56784cf	$1$	$1$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$- 2^{8} \cdot 3^{2} \cdot 7 \cdot 13^{9}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$182$	$2$	$0$	$1$	$1$		$0$	$149760$	$1.412567$	$8192/63$	$0.85500$	$3.66761$	$[0, -1, 0, 5859, -607023]$	$y^2=x^3-x^2+5859x-607023$	182.2.0.?	$[]$
56784.q1	56784bn1	56784.q	56784bn	$2$	$2$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$2^{4} \cdot 3^{4} \cdot 7^{2} \cdot 13^{3}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$2184$	$48$	$1$	$1.502075506$	$1$		$3$	$18432$	$0.273726$	$16384000/3969$	$0.98951$	$2.47367$	$[0, -1, 0, -173, -612]$	$y^2=x^3-x^2-173x-612$	2.3.0.a.1, 4.6.0.e.1, 24.12.0.bv.1, 26.6.0.b.1, 28.12.0.m.1, $\ldots$	$[(-8, 14)]$
56784.q2	56784bn2	56784.q	56784bn	$2$	$2$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$- 2^{8} \cdot 3^{2} \cdot 7^{4} \cdot 13^{3}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$2184$	$48$	$1$	$3.004151012$	$1$		$3$	$36864$	$0.620299$	$13718000/21609$	$0.87926$	$2.76036$	$[0, -1, 0, 412, -4356]$	$y^2=x^3-x^2+412x-4356$	2.3.0.a.1, 4.6.0.e.1, 24.12.0.bs.1, 52.12.0.l.1, 56.12.0.bs.1, $\ldots$	$[(61, 494)]$
56784.r1	56784be2	56784.r	56784be	$2$	$3$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$2^{13} \cdot 3 \cdot 7^{3} \cdot 13^{4}$	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$168$	$16$	$0$	$0.796295839$	$1$		$12$	$145152$	$1.397243$	$531373116625/2058$	$0.99657$	$4.16336$	$[0, -1, 0, -82528, 9152896]$	$y^2=x^3-x^2-82528x+9152896$	3.4.0.a.1, 12.8.0-3.a.1.2, 168.16.0.?	$[(152, 312), (165, 26)]$
56784.r2	56784be1	56784.r	56784be	$2$	$3$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$2^{15} \cdot 3^{3} \cdot 7 \cdot 13^{4}$	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$168$	$16$	$0$	$0.796295839$	$1$		$12$	$48384$	$0.847937$	$2640625/1512$	$1.13480$	$3.04778$	$[0, -1, 0, -1408, 2560]$	$y^2=x^3-x^2-1408x+2560$	3.4.0.a.1, 12.8.0-3.a.1.1, 168.16.0.?	$[(48, 208), (-30, 130)]$
56784.s1	56784a2	56784.s	56784a	$2$	$2$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$2^{8} \cdot 3^{14} \cdot 7^{2} \cdot 13^{7}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$4.859056485$	$1$		$3$	$602112$	$2.264309$	$8207369602000/3046751253$	$0.95414$	$4.62875$	$[0, -1, 0, -450948, 69941520]$	$y^2=x^3-x^2-450948x+69941520$	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[(44, 7084)]$
56784.s2	56784a1	56784.s	56784a	$2$	$2$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$- 2^{4} \cdot 3^{7} \cdot 7^{4} \cdot 13^{8}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$9.718112971$	$1$		$1$	$301056$	$1.917736$	$953312000000/887416803$	$1.04778$	$4.17881$	$[0, -1, 0, 87317, 7718086]$	$y^2=x^3-x^2+87317x+7718086$	2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.?	$[(93762/11, 30931642/11)]$
56784.t1	56784bd2	56784.t	56784bd	$2$	$3$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$2^{33} \cdot 3^{3} \cdot 7^{3} \cdot 13^{8}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$168$	$16$	$0$	$1$	$1$		$0$	$5660928$	$3.155285$	$673822943613625/19421724672$	$1.00793$	$5.75329$	$[0, -1, 0, -27305048, 53541730800]$	$y^2=x^3-x^2-27305048x+53541730800$	3.4.0.a.1, 12.8.0-3.a.1.2, 168.16.0.?	$[]$
56784.t2	56784bd1	56784.t	56784bd	$2$	$3$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$2^{19} \cdot 3^{9} \cdot 7 \cdot 13^{8}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$168$	$16$	$0$	$1$	$1$		$0$	$1886976$	$2.605976$	$1515434103625/17635968$	$0.97352$	$5.19631$	$[0, -1, 0, -3577448, -2576890512]$	$y^2=x^3-x^2-3577448x-2576890512$	3.4.0.a.1, 12.8.0-3.a.1.1, 168.16.0.?	$[]$
56784.u1	56784bw4	56784.u	56784bw	$4$	$6$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$2^{8} \cdot 3^{2} \cdot 7^{3} \cdot 13^{6}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$1092$	$96$	$1$	$2.263692283$	$1$		$3$	$331776$	$1.697283$	$2640279346000/3087$	$1.02245$	$4.52514$	$[0, -1, 0, -308988, 66212028]$	$y^2=x^3-x^2-308988x+66212028$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.j.1, 28.6.0.a.1, $\ldots$	$[(309, 378)]$
56784.u2	56784bw3	56784.u	56784bw	$4$	$6$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$- 2^{4} \cdot 3 \cdot 7^{6} \cdot 13^{6}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$1092$	$96$	$1$	$1.131846141$	$1$		$3$	$165888$	$1.350710$	$-10061824000/352947$	$1.07286$	$3.76844$	$[0, -1, 0, -19153, 1057120]$	$y^2=x^3-x^2-19153x+1057120$	2.3.0.a.1, 3.4.0.a.1, 6.24.0.b.1, 28.6.0.b.1, 84.48.1.?, $\ldots$	$[(204, 2366)]$
56784.u3	56784bw2	56784.u	56784bw	$4$	$6$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$2^{8} \cdot 3^{6} \cdot 7 \cdot 13^{6}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$1092$	$96$	$1$	$6.791076851$	$1$		$1$	$110592$	$1.147978$	$9826000/5103$	$0.97243$	$3.38315$	$[0, -1, 0, -4788, 42444]$	$y^2=x^3-x^2-4788x+42444$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.j.1, 28.6.0.a.1, $\ldots$	$[(-2259/7, 138510/7)]$
56784.u4	56784bw1	56784.u	56784bw	$4$	$6$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$- 2^{4} \cdot 3^{3} \cdot 7^{2} \cdot 13^{6}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$1092$	$96$	$1$	$3.395538425$	$1$		$1$	$55296$	$0.801404$	$2048000/1323$	$1.10843$	$2.98663$	$[0, -1, 0, 1127, 4588]$	$y^2=x^3-x^2+1127x+4588$	2.3.0.a.1, 3.4.0.a.1, 6.24.0.b.1, 28.6.0.b.1, 84.48.1.?, $\ldots$	$[(309/2, 5915/2)]$
56784.v1	56784bv2	56784.v	56784bv	$2$	$3$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$2^{33} \cdot 3^{3} \cdot 7^{3} \cdot 13^{2}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$2184$	$16$	$0$	$1.015950828$	$1$		$4$	$435456$	$1.872808$	$673822943613625/19421724672$	$1.00793$	$4.34746$	$[0, -1, 0, -161568, 24420096]$	$y^2=x^3-x^2-161568x+24420096$	3.4.0.a.1, 156.8.0.?, 168.8.0.?, 2184.16.0.?	$[(1520, 57344)]$
56784.v2	56784bv1	56784.v	56784bv	$2$	$3$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$2^{19} \cdot 3^{9} \cdot 7 \cdot 13^{2}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$2184$	$16$	$0$	$3.047852486$	$1$		$2$	$145152$	$1.323502$	$1515434103625/17635968$	$0.97352$	$3.79048$	$[0, -1, 0, -21168, -1166400]$	$y^2=x^3-x^2-21168x-1166400$	3.4.0.a.1, 156.8.0.?, 168.8.0.?, 2184.16.0.?	$[(200, 1600)]$
56784.w1	56784d2	56784.w	56784d	$2$	$2$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$2^{8} \cdot 3^{10} \cdot 7^{4} \cdot 13^{7}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$2580480$	$2.819382$	$1989996724085074000/1843096437$	$1.00659$	$5.76135$	$[0, -1, 0, -28119628, -57384050192]$	$y^2=x^3-x^2-28119628x-57384050192$	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[]$
56784.w2	56784d1	56784.w	56784d	$2$	$2$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$- 2^{4} \cdot 3^{5} \cdot 7^{8} \cdot 13^{8}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$1290240$	$2.472809$	$-7604375980288000/236743082667$	$1.00871$	$5.00431$	$[0, -1, 0, -1744643, -909932310]$	$y^2=x^3-x^2-1744643x-909932310$	2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.?	$[]$
56784.x1	56784bu2	56784.x	56784bu	$2$	$3$	$2^{4} \cdot 3 \cdot 7 \cdot 13^{2}$	$2^{13} \cdot 3 \cdot 7^{3} \cdot 13^{10}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$2184$	$16$	$0$	$4.030258543$	$1$		$2$	$1886976$	$2.679718$	$531373116625/2058$	$0.99657$	$5.56919$	$[0, -1, 0, -13947288, 20053123440]$	$y^2=x^3-x^2-13947288x+20053123440$	3.4.0.a.1, 156.8.0.?, 168.8.0.?, 2184.16.0.?	$[(2153, 112)]$

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