Elliptic curves over $\Q$ of conductor 384678

The results below are complete, since the LMFDB contains all elliptic curves with conductor at most 500000

Results (1-50 of 67 matches)

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	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	Manin constant
384678.a1	384678a1	384678.a	384678a	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( 2^{17} \cdot 3^{3} \cdot 7 \cdot 43 \cdot 71^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$7224$	$2$	$0$	$1.383903369$	$1$		$4$	$2319616$	$1.572016$	$11612250602251043499/198880919552$	$0.91245$	$3.66982$	$[1, -1, 0, -141531, 20529061]$	\(y^2+xy=x^3-x^2-141531x+20529061\)	7224.2.0.?	$[(219, -74)]$	$1$
384678.b1	384678b1	384678.b	384678b	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( 2^{23} \cdot 3^{3} \cdot 7 \cdot 43^{3} \cdot 71 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$512904$	$2$	$0$	$68.92693050$	$1$		$0$	$16109568$	$2.735027$	$153517257815175711566085339/331475668959232$	$1.07357$	$4.94486$	$[1, -1, 0, -33465636, -74507154352]$	\(y^2+xy=x^3-x^2-33465636x-74507154352\)	512904.2.0.?	$[(-213743/8, 860603/8), (-965137/17, 8207490/17)]$	$1$
384678.c1	384678c1	384678.c	384678c	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( 2^{33} \cdot 3^{17} \cdot 7^{3} \cdot 43 \cdot 71 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$512904$	$2$	$0$	$24.81866661$	$1$		$0$	$55756800$	$3.308453$	$2919152039461415934671377/1593472537822595383296$	$0.98362$	$4.89302$	$[1, -1, 0, -26797041, -12711378659]$	\(y^2+xy=x^3-x^2-26797041x-12711378659\)	512904.2.0.?	$[(-26415570279/3181, 6434974101304399/3181)]$	$1$
384678.d1	384678d1	384678.d	384678d	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( 2^{3} \cdot 3^{13} \cdot 7^{5} \cdot 43 \cdot 71 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$512904$	$2$	$0$	$1$	$1$		$0$	$1989120$	$1.591953$	$13405454970311377/897750745416$	$0.87077$	$3.40012$	$[1, -1, 0, -44541, 3413533]$	\(y^2+xy=x^3-x^2-44541x+3413533\)	512904.2.0.?	$[ ]$	$1$
384678.e1	384678e1	384678.e	384678e	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( 2 \cdot 3^{9} \cdot 7 \cdot 43 \cdot 71 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$512904$	$2$	$0$	$6.777386244$	$1$		$4$	$290304$	$0.627477$	$38854881603/42742$	$0.77709$	$2.66487$	$[1, -1, 0, -1905, -31501]$	\(y^2+xy=x^3-x^2-1905x-31501\)	512904.2.0.?	$[(-25, 7), (79, 514)]$	$1$
384678.f1	384678f1	384678.f	384678f	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( 2^{5} \cdot 3^{3} \cdot 7 \cdot 43^{3} \cdot 71 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$512904$	$2$	$0$	$1.685132075$	$1$		$6$	$1121280$	$1.260307$	$510471283995338427/1264479328$	$0.91867$	$3.42686$	$[1, -1, 0, -49950, 4309364]$	\(y^2+xy=x^3-x^2-49950x+4309364\)	512904.2.0.?	$[(139, 124), (-205, 2532)]$	$1$
384678.g1	384678g1	384678.g	384678g	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( 2^{9} \cdot 3^{9} \cdot 7 \cdot 43 \cdot 71^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$7224$	$2$	$0$	$3.146845392$	$1$		$2$	$1257984$	$1.295649$	$515097425213281/20975721984$	$0.84785$	$3.14670$	$[1, -1, 0, -15030, -680076]$	\(y^2+xy=x^3-x^2-15030x-680076\)	7224.2.0.?	$[(-81, 9)]$	$1$
384678.h1	384678h2	384678.h	384678h	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( 2 \cdot 3^{12} \cdot 7^{2} \cdot 43^{2} \cdot 71 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$512904$	$12$	$0$	$1$	$1$		$0$	$970752$	$1.159897$	$22485463890625/9378834318$	$0.87504$	$2.90320$	$[1, -1, 0, -5292, -76982]$	\(y^2+xy=x^3-x^2-5292x-76982\)	2.3.0.a.1, 568.6.0.?, 3612.6.0.?, 512904.12.0.?	$[ ]$	$1$
384678.h2	384678h1	384678.h	384678h	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( - 2^{2} \cdot 3^{9} \cdot 7 \cdot 43 \cdot 71^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$512904$	$12$	$0$	$1$	$1$		$1$	$485376$	$0.813324$	$200715401375/163872828$	$0.79896$	$2.53627$	$[1, -1, 0, 1098, -9248]$	\(y^2+xy=x^3-x^2+1098x-9248\)	2.3.0.a.1, 568.6.0.?, 1806.6.0.?, 512904.12.0.?	$[ ]$	$1$
384678.i1	384678i2	384678.i	384678i	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( 2^{3} \cdot 3^{6} \cdot 7^{2} \cdot 43^{4} \cdot 71 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3976$	$12$	$0$	$0.636879975$	$1$		$8$	$1744896$	$1.421474$	$2324360205644625/95152069432$	$0.89835$	$3.26387$	$[1, -1, 0, -24837, 1458557]$	\(y^2+xy=x^3-x^2-24837x+1458557\)	2.3.0.a.1, 28.6.0.c.1, 568.6.0.?, 3976.12.0.?	$[(109, 139)]$	$1$
384678.i2	384678i1	384678.i	384678i	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( - 2^{6} \cdot 3^{6} \cdot 7 \cdot 43^{2} \cdot 71^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3976$	$12$	$0$	$1.273759951$	$1$		$7$	$872448$	$1.074902$	$57289251375/4175722432$	$0.89723$	$2.81419$	$[1, -1, 0, 723, 83429]$	\(y^2+xy=x^3-x^2+723x+83429\)	2.3.0.a.1, 14.6.0.b.1, 568.6.0.?, 3976.12.0.?	$[(-29, 208)]$	$1$
384678.j1	384678j1	384678.j	384678j	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( - 2 \cdot 3^{7} \cdot 7^{13} \cdot 43^{2} \cdot 71 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$11928$	$2$	$0$	$1.587221834$	$1$		$2$	$11860992$	$2.482819$	$-65181517077888744625/76316954383323318$	$0.92839$	$4.14627$	$[1, -1, 0, -754587, -438489693]$	\(y^2+xy=x^3-x^2-754587x-438489693\)	11928.2.0.?	$[(5283, 375516)]$	$1$
384678.k1	384678k1	384678.k	384678k	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( - 2^{37} \cdot 3^{6} \cdot 7 \cdot 43 \cdot 71 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$170968$	$2$	$0$	$1$	$1$		$0$	$53706240$	$3.255020$	$-3612713767281826521105408625/2937207874650112$	$0.98165$	$5.44674$	$[1, -1, 0, -287703927, 1878379886173]$	\(y^2+xy=x^3-x^2-287703927x+1878379886173\)	170968.2.0.?	$[ ]$	$1$
384678.l1	384678l2	384678.l	384678l	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( 2 \cdot 3^{6} \cdot 7^{2} \cdot 43^{2} \cdot 71^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$3976$	$12$	$0$	$1$	$1$		$0$	$1351680$	$1.556797$	$849775949234556625/913439282$	$0.89427$	$3.72277$	$[1, -1, 0, -177597, -28762853]$	\(y^2+xy=x^3-x^2-177597x-28762853\)	2.3.0.a.1, 8.6.0.b.1, 1988.6.0.?, 3976.12.0.?	$[ ]$	$1$
384678.l2	384678l1	384678.l	384678l	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( 2^{2} \cdot 3^{6} \cdot 7 \cdot 43^{4} \cdot 71 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$3976$	$12$	$0$	$1$	$1$		$1$	$675840$	$1.210224$	$212402162904625/6796576388$	$0.84105$	$3.07781$	$[1, -1, 0, -11187, -439871]$	\(y^2+xy=x^3-x^2-11187x-439871\)	2.3.0.a.1, 8.6.0.c.1, 994.6.0.?, 3976.12.0.?	$[ ]$	$1$
384678.m1	384678m2	384678.m	384678m	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( 2^{8} \cdot 3^{14} \cdot 7^{2} \cdot 43 \cdot 71^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$85484$	$12$	$0$	$4.774769230$	$1$		$2$	$3538944$	$2.024231$	$23352087379684722625/17839851547392$	$0.91154$	$3.98042$	$[1, -1, 0, -535932, -150778800]$	\(y^2+xy=x^3-x^2-535932x-150778800\)	2.3.0.a.1, 172.6.0.?, 1988.6.0.?, 85484.12.0.?	$[(107400, 35142420)]$	$1$
384678.m2	384678m1	384678.m	384678m	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( 2^{16} \cdot 3^{10} \cdot 7 \cdot 43^{2} \cdot 71 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$85484$	$12$	$0$	$9.549538460$	$1$		$1$	$1769472$	$1.677656$	$10131679786866625/4878184808448$	$0.88631$	$3.37835$	$[1, -1, 0, -40572, -1279152]$	\(y^2+xy=x^3-x^2-40572x-1279152\)	2.3.0.a.1, 172.6.0.?, 994.6.0.?, 85484.12.0.?	$[(63499/17, 2478966/17)]$	$1$
384678.n1	384678n1	384678.n	384678n	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( - 2^{5} \cdot 3^{3} \cdot 7^{4} \cdot 43 \cdot 71 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$73272$	$2$	$0$	$1.687713062$	$1$		$2$	$202240$	$0.564991$	$-44928178875/234568096$	$0.79763$	$2.34281$	$[1, -1, 0, -222, -3980]$	\(y^2+xy=x^3-x^2-222x-3980\)	73272.2.0.?	$[(29, 101)]$	$1$
384678.o1	384678o1	384678.o	384678o	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( 2^{5} \cdot 3^{11} \cdot 7^{5} \cdot 43 \cdot 71^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$7224$	$2$	$0$	$1$	$1$		$0$	$5952000$	$2.111572$	$100298912737966907329/28329023522016$	$0.91852$	$4.09376$	$[1, -1, 0, -871164, -312672528]$	\(y^2+xy=x^3-x^2-871164x-312672528\)	7224.2.0.?	$[ ]$	$1$
384678.p1	384678p1	384678.p	384678p	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( - 2^{13} \cdot 3^{22} \cdot 7 \cdot 43^{3} \cdot 71 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$170968$	$2$	$0$	$1$	$25$	$5$	$0$	$23642112$	$2.903542$	$-642814521263270996977/13934512343726972928$	$0.96354$	$4.52200$	$[1, -1, 0, -1618191, -4913070611]$	\(y^2+xy=x^3-x^2-1618191x-4913070611\)	170968.2.0.?	$[ ]$	$1$
384678.q1	384678q1	384678.q	384678q	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( - 2 \cdot 3^{9} \cdot 7^{2} \cdot 43 \cdot 71 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$73272$	$2$	$0$	$1.643269285$	$1$		$2$	$289536$	$0.554530$	$-5000211/299194$	$0.72646$	$2.32973$	$[1, -1, 0, -96, 3734]$	\(y^2+xy=x^3-x^2-96x+3734\)	73272.2.0.?	$[(13, 61)]$	$1$
384678.r1	384678r3	384678.r	384678r	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( 2 \cdot 3^{10} \cdot 7^{4} \cdot 43^{4} \cdot 71 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$73272$	$48$	$0$	$3.294292725$	$1$		$2$	$12746752$	$2.640926$	$665288157714574603136257/94414640893902$	$0.95443$	$4.77803$	$[1, -1, 0, -16368336, 25493213434]$	\(y^2+xy=x^3-x^2-16368336x+25493213434\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 344.12.0.?, 568.12.0.?, $\ldots$	$[(2843, 42521)]$	$1$
384678.r2	384678r2	384678.r	384678r	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( 2^{2} \cdot 3^{8} \cdot 7^{8} \cdot 43^{2} \cdot 71^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$73272$	$48$	$0$	$1.647146362$	$1$		$8$	$6373376$	$2.294353$	$163821134663121864097/1934373925584324$	$0.97022$	$4.13191$	$[1, -1, 0, -1025946, 396131872]$	\(y^2+xy=x^3-x^2-1025946x+396131872\)	2.6.0.a.1, 12.12.0-2.a.1.1, 172.12.0.?, 516.24.0.?, 568.12.0.?, $\ldots$	$[(407, 6569)]$	$1$
384678.r3	384678r4	384678.r	384678r	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( - 2 \cdot 3^{7} \cdot 7^{16} \cdot 43 \cdot 71 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$73272$	$48$	$0$	$3.294292725$	$1$		$2$	$12746752$	$2.640926$	$-1243659855033723457/608760822173951118$	$0.97098$	$4.27660$	$[1, -1, 0, -201636, 1014199510]$	\(y^2+xy=x^3-x^2-201636x+1014199510\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 172.12.0.?, 568.12.0.?, $\ldots$	$[(1685, 73025)]$	$1$
384678.r4	384678r1	384678.r	384678r	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( 2^{4} \cdot 3^{7} \cdot 7^{4} \cdot 43 \cdot 71^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$73272$	$48$	$0$	$3.294292725$	$1$		$3$	$3186688$	$1.947781$	$252859194318650977/125931752711184$	$0.90723$	$3.62851$	$[1, -1, 0, -118566, -5837468]$	\(y^2+xy=x^3-x^2-118566x-5837468\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 172.12.0.?, 258.6.0.?, $\ldots$	$[(-91, 2093)]$	$1$
384678.s1	384678s1	384678.s	384678s	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( - 2 \cdot 3^{7} \cdot 7^{14} \cdot 43^{3} \cdot 71 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$73272$	$2$	$0$	$1$	$1$		$0$	$27267072$	$3.012459$	$-301785939226916948363617/22971403269380318718$	$0.95272$	$4.72617$	$[1, -1, 0, -12576726, -18258210486]$	\(y^2+xy=x^3-x^2-12576726x-18258210486\)	73272.2.0.?	$[ ]$	$1$
384678.t1	384678t1	384678.t	384678t	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( - 2^{9} \cdot 3^{11} \cdot 7^{5} \cdot 43^{2} \cdot 71 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$11928$	$2$	$0$	$4.892173627$	$1$		$6$	$5760000$	$1.998854$	$-361446235206337/274512227931648$	$0.94029$	$3.67749$	$[1, -1, 0, -13356, -21527856]$	\(y^2+xy=x^3-x^2-13356x-21527856\)	11928.2.0.?	$[(945, 27972), (343, 3591)]$	$1$
384678.u1	384678u1	384678.u	384678u	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( - 2 \cdot 3^{7} \cdot 7 \cdot 43^{2} \cdot 71 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$11928$	$2$	$0$	$2.060508253$	$1$		$2$	$205824$	$0.524958$	$1021147343/5513718$	$0.76316$	$2.29047$	$[1, -1, 0, 189, 2835]$	\(y^2+xy=x^3-x^2+189x+2835\)	11928.2.0.?	$[(3, 57)]$	$1$
384678.v1	384678v2	384678.v	384678v	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( 2^{13} \cdot 3^{16} \cdot 7^{4} \cdot 43^{2} \cdot 71 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$73272$	$12$	$0$	$17.28758248$	$1$		$0$	$27156480$	$2.922234$	$3335317576841036098400257/152471934599749632$	$0.96004$	$4.90338$	$[1, -1, 0, -28014336, -57062154240]$	\(y^2+xy=x^3-x^2-28014336x-57062154240\)	2.3.0.a.1, 516.6.0.?, 568.6.0.?, 73272.12.0.?	$[(585772239/125, 13990771814487/125)]$	$1$
384678.v2	384678v1	384678.v	384678v	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( 2^{26} \cdot 3^{11} \cdot 7^{2} \cdot 43 \cdot 71^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$73272$	$12$	$0$	$8.643791242$	$1$		$1$	$13578240$	$2.575661$	$946420369077135568897/173207779408871424$	$0.93204$	$4.26829$	$[1, -1, 0, -1840896, -794492928]$	\(y^2+xy=x^3-x^2-1840896x-794492928\)	2.3.0.a.1, 258.6.0.?, 568.6.0.?, 73272.12.0.?	$[(-89259/13, 12664371/13)]$	$1$
384678.w1	384678w1	384678.w	384678w	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( 2^{7} \cdot 3^{9} \cdot 7^{3} \cdot 43 \cdot 71 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$512904$	$2$	$0$	$1$	$1$		$0$	$1128960$	$1.091290$	$492851793699/134038912$	$0.78666$	$2.86240$	$[1, -1, 0, -4443, -81883]$	\(y^2+xy=x^3-x^2-4443x-81883\)	512904.2.0.?	$[ ]$	$1$
384678.x1	384678x3	384678.x	384678x	$3$	$9$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( 2 \cdot 3^{7} \cdot 7 \cdot 43^{3} \cdot 71^{9} \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	9.72.0.6	3B.1.1	$1538712$	$144$	$3$	$20.63787048$	$1$		$2$	$1209323520$	$4.647621$	$48427980631254958469835824847167473/153101623358112538524114$	$1.01978$	$6.72286$	$[1, -1, 0, -68343947343, 6877004040813123]$	\(y^2+xy=x^3-x^2-68343947343x+6877004040813123\)	3.8.0-3.a.1.2, 9.72.0-9.d.2.1, 512904.16.0.?, 1538712.144.3.?	$[(202772993211/1159, -99380416131720/1159)]$	$1$
384678.x2	384678x2	384678.x	384678x	$3$	$9$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( 2^{3} \cdot 3^{9} \cdot 7^{3} \cdot 43^{9} \cdot 71^{3} \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	9.72.0.2	3Cs.1.1	$1538712$	$144$	$3$	$6.879290160$	$1$		$4$	$403107840$	$4.098312$	$101112050932948721991382242193/13327203141829750320519624$	$0.99255$	$5.70581$	$[1, -1, 0, -873512073, 8732490816357]$	\(y^2+xy=x^3-x^2-873512073x+8732490816357\)	3.24.0-3.a.1.1, 9.72.0-9.a.1.2, 512904.48.1.?, 1538712.144.3.?	$[(22617, 727020)]$	$1$
384678.x3	384678x1	384678.x	384678x	$3$	$9$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( 2^{9} \cdot 3^{15} \cdot 7^{9} \cdot 43^{3} \cdot 71 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.72.0.11	3B.1.2	$1538712$	$144$	$3$	$2.293096720$	$1$		$4$	$134369280$	$3.549011$	$1544204814149745316374461713/2295658741816117891584$	$0.97926$	$5.38065$	$[1, -1, 0, -216721953, -1226379099267]$	\(y^2+xy=x^3-x^2-216721953x-1226379099267\)	3.8.0-3.a.1.1, 9.72.0-9.d.1.1, 512904.16.0.?, 1538712.144.3.?	$[(18081, 866124)]$	$1$
384678.y1	384678y1	384678.y	384678y	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( - 2^{25} \cdot 3^{19} \cdot 7 \cdot 43^{2} \cdot 71 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$11928$	$2$	$0$	$1$	$16$	$2$	$0$	$48921600$	$3.007809$	$1627375306884498007199/49160863531357175808$	$0.96998$	$4.61648$	$[1, -1, 0, 2205450, -9021068172]$	\(y^2+xy=x^3-x^2+2205450x-9021068172\)	11928.2.0.?	$[ ]$	$1$
384678.z1	384678z2	384678.z	384678z	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( 2^{9} \cdot 3^{8} \cdot 7^{2} \cdot 43^{2} \cdot 71 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$512904$	$12$	$0$	$0.437271865$	$1$		$10$	$8736768$	$2.052326$	$805709336401039244329/29641747968$	$0.95765$	$4.25577$	$[1, -1, 1, -1744727, 887468015]$	\(y^2+xy+y=x^3-x^2-1744727x+887468015\)	2.3.0.a.1, 568.6.0.?, 3612.6.0.?, 512904.12.0.?	$[(747, 382)]$	$1$
384678.z2	384678z1	384678.z	384678z	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( - 2^{18} \cdot 3^{7} \cdot 7 \cdot 43 \cdot 71^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$512904$	$12$	$0$	$0.874543730$	$1$		$9$	$4368384$	$1.705751$	$-195848631894760489/1193285517312$	$0.91899$	$3.60946$	$[1, -1, 1, -108887, 13929455]$	\(y^2+xy+y=x^3-x^2-108887x+13929455\)	2.3.0.a.1, 568.6.0.?, 1806.6.0.?, 512904.12.0.?	$[(187, 190)]$	$1$
384678.ba1	384678ba1	384678.ba	384678ba	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( 2^{7} \cdot 3^{7} \cdot 7^{19} \cdot 43 \cdot 71^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$7224$	$2$	$0$	$5.535855701$	$1$		$2$	$1867805184$	$4.914131$	$1744757654531089303595101198341756457/948809747353742820905856$	$1.02640$	$7.00157$	$[1, -1, 1, -225724990199, 41277954820117839]$	\(y^2+xy+y=x^3-x^2-225724990199x+41277954820117839\)	7224.2.0.?	$[(274283, -120114)]$	$1$
384678.bb1	384678bb1	384678.bb	384678bb	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( 2^{7} \cdot 3^{19} \cdot 7 \cdot 43^{3} \cdot 71^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$7224$	$2$	$0$	$1.509164268$	$1$		$4$	$17192448$	$2.678204$	$3468069911694643748137/572540727086004096$	$0.93713$	$4.36927$	$[1, -1, 1, -2838119, -1555126113]$	\(y^2+xy+y=x^3-x^2-2838119x-1555126113\)	7224.2.0.?	$[(-769, 13506)]$	$1$
384678.bc1	384678bc1	384678.bc	384678bc	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( 2^{7} \cdot 3^{3} \cdot 7^{3} \cdot 43 \cdot 71 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$512904$	$2$	$0$	$0.369472403$	$1$		$18$	$376320$	$0.541984$	$492851793699/134038912$	$0.78666$	$2.34984$	$[1, -1, 1, -494, 3197]$	\(y^2+xy+y=x^3-x^2-494x+3197\)	512904.2.0.?	$[(21, 31), (7, 3)]$	$1$
384678.bd1	384678bd2	384678.bd	384678bd	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( 2^{7} \cdot 3^{6} \cdot 7^{2} \cdot 43 \cdot 71^{4} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2408$	$12$	$0$	$3.223605152$	$1$		$12$	$2752512$	$1.887133$	$2592452374932426553/6853428718976$	$0.90035$	$3.80950$	$[1, -1, 1, -257576, -50136469]$	\(y^2+xy+y=x^3-x^2-257576x-50136469\)	2.3.0.a.1, 28.6.0.c.1, 344.6.0.?, 2408.12.0.?	$[(-299, 433), (19039/2, 2592195/2)]$	$1$
384678.bd2	384678bd1	384678.bd	384678bd	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( - 2^{14} \cdot 3^{6} \cdot 7 \cdot 43^{2} \cdot 71^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2408$	$12$	$0$	$3.223605152$	$1$		$15$	$1376256$	$1.540560$	$-147005674821433/1068984942592$	$0.87526$	$3.25196$	$[1, -1, 1, -9896, -1393045]$	\(y^2+xy+y=x^3-x^2-9896x-1393045\)	2.3.0.a.1, 14.6.0.b.1, 344.6.0.?, 2408.12.0.?	$[(205, 2169), (4749, 324793)]$	$1$
384678.be1	384678be1	384678.be	384678be	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( - 2^{7} \cdot 3^{15} \cdot 7 \cdot 43^{2} \cdot 71^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$11928$	$2$	$0$	$1$	$1$		$0$	$13547520$	$2.528419$	$-7055060959088908825753/11671085737325952$	$0.93713$	$4.42472$	$[1, -1, 1, -3596126, -2627675283]$	\(y^2+xy+y=x^3-x^2-3596126x-2627675283\)	11928.2.0.?	$[ ]$	$1$
384678.bf1	384678bf1	384678.bf	384678bf	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( - 2 \cdot 3^{6} \cdot 7 \cdot 43 \cdot 71 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$170968$	$2$	$0$	$1$	$1$		$0$	$131072$	$0.227737$	$-1986121593/42742$	$0.84368$	$2.18019$	$[1, -1, 1, -236, 1477]$	\(y^2+xy+y=x^3-x^2-236x+1477\)	170968.2.0.?	$[ ]$	$1$
384678.bg1	384678bg2	384678.bg	384678bg	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( 2 \cdot 3^{6} \cdot 7^{4} \cdot 43 \cdot 71^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$24424$	$12$	$0$	$3.814225855$	$1$		$0$	$622592$	$1.001369$	$6369690780153/1040895926$	$0.85378$	$2.80512$	$[1, -1, 1, -3476, 67681]$	\(y^2+xy+y=x^3-x^2-3476x+67681\)	2.3.0.a.1, 284.6.0.?, 344.6.0.?, 24424.12.0.?	$[(287/2, 3139/2)]$	$1$
384678.bg2	384678bg1	384678.bg	384678bg	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( - 2^{2} \cdot 3^{6} \cdot 7^{2} \cdot 43^{2} \cdot 71 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$24424$	$12$	$0$	$1.907112927$	$1$		$3$	$311296$	$0.654795$	$9300746727/25730684$	$0.81432$	$2.40082$	$[1, -1, 1, 394, 5761]$	\(y^2+xy+y=x^3-x^2+394x+5761\)	2.3.0.a.1, 142.6.0.?, 344.6.0.?, 24424.12.0.?	$[(61, 473)]$	$1$
384678.bh1	384678bh1	384678.bh	384678bh	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( - 2 \cdot 3^{3} \cdot 7^{2} \cdot 43 \cdot 71 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$73272$	$2$	$0$	$3.729676649$	$1$		$0$	$96512$	$0.005224$	$-5000211/299194$	$0.72646$	$1.81716$	$[1, -1, 1, -11, -135]$	\(y^2+xy+y=x^3-x^2-11x-135\)	73272.2.0.?	$[(59/2, 357/2)]$	$1$
384678.bi1	384678bi1	384678.bi	384678bi	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( - 2^{10} \cdot 3^{6} \cdot 7^{3} \cdot 43^{2} \cdot 71 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1988$	$2$	$0$	$1$	$1$		$0$	$1505280$	$1.553997$	$-103680584667311625/46109385728$	$0.89673$	$3.55925$	$[1, -1, 1, -88085, -10044179]$	\(y^2+xy+y=x^3-x^2-88085x-10044179\)	1988.2.0.?	$[ ]$	$1$
384678.bj1	384678bj2	384678.bj	384678bj	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( 2^{2} \cdot 3^{18} \cdot 7^{2} \cdot 43 \cdot 71^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$85484$	$12$	$0$	$1$	$1$		$0$	$3194880$	$1.814043$	$67094166273513625/22578562114668$	$0.88837$	$3.52535$	$[1, -1, 1, -76190, 5255489]$	\(y^2+xy+y=x^3-x^2-76190x+5255489\)	2.3.0.a.1, 172.6.0.?, 1988.6.0.?, 85484.12.0.?	$[ ]$	$1$
384678.bj2	384678bj1	384678.bj	384678bj	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 43 \cdot 71 \)	\( 2^{4} \cdot 3^{12} \cdot 7 \cdot 43^{2} \cdot 71 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$85484$	$12$	$0$	$1$	$1$		$1$	$1597440$	$1.467468$	$48653108501649625/10718667792$	$0.96858$	$3.50036$	$[1, -1, 1, -68450, 6908753]$	\(y^2+xy+y=x^3-x^2-68450x+6908753\)	2.3.0.a.1, 172.6.0.?, 994.6.0.?, 85484.12.0.?	$[ ]$	$1$

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