Elliptic curves over $\Q$ of conductor 67518

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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
67518.a1	67518z2	67518.a	67518z	$2$	$3$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( 2^{9} \cdot 3^{7} \cdot 11^{4} \cdot 31^{3} \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$744$	$16$	$0$	$1$	$1$		$2$	$3919104$	$2.798561$	$2158639721565356908417/45758976$	$1.04604$	$5.87285$	$[1, -1, 0, -59281371, 175696095141]$	\(y^2+xy=x^3-x^2-59281371x+175696095141\)	3.8.0-3.a.1.2, 744.16.0.?	$[ ]$
67518.a2	67518z1	67518.a	67518z	$2$	$3$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( 2^{27} \cdot 3^{9} \cdot 11^{4} \cdot 31 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$744$	$16$	$0$	$1$	$1$		$0$	$1306368$	$2.249252$	$4143359416745857/112340238336$	$0.99979$	$4.68910$	$[1, -1, 0, -736731, 237809061]$	\(y^2+xy=x^3-x^2-736731x+237809061\)	3.8.0-3.a.1.1, 744.16.0.?	$[ ]$
67518.b1	67518o1	67518.b	67518o	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( 2 \cdot 3^{7} \cdot 11^{2} \cdot 31 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$744$	$2$	$0$	$0.522565165$	$1$		$4$	$17664$	$0.161540$	$6289657/186$	$0.78890$	$2.43179$	$[1, -1, 0, -171, -797]$	\(y^2+xy=x^3-x^2-171x-797\)	744.2.0.?	$[(-7, 8)]$
67518.c1	67518p1	67518.c	67518p	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( - 2^{7} \cdot 3^{7} \cdot 11^{6} \cdot 31 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$744$	$2$	$0$	$4.377776147$	$1$		$2$	$266560$	$1.316418$	$-498677257/11904$	$0.91486$	$3.69122$	$[1, -1, 0, -17991, -943299]$	\(y^2+xy=x^3-x^2-17991x-943299\)	744.2.0.?	$[(237, 2721)]$
67518.d1	67518f2	67518.d	67518f	$2$	$3$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( - 2^{5} \cdot 3^{9} \cdot 11^{6} \cdot 31^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$8184$	$16$	$0$	$2.051200814$	$1$		$2$	$972000$	$1.859335$	$-458314011/953312$	$0.96854$	$4.11350$	$[1, -1, 0, -52476, 9930608]$	\(y^2+xy=x^3-x^2-52476x+9930608\)	3.4.0.a.1, 33.8.0-3.a.1.1, 744.8.0.?, 8184.16.0.?	$[(-161, 3847)]$
67518.d2	67518f1	67518.d	67518f	$2$	$3$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( - 2^{15} \cdot 3^{3} \cdot 11^{6} \cdot 31 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$8184$	$16$	$0$	$6.153602443$	$1$		$0$	$324000$	$1.310028$	$406869021/1015808$	$0.97245$	$3.48066$	$[1, -1, 0, 5604, -295344]$	\(y^2+xy=x^3-x^2+5604x-295344\)	3.4.0.a.1, 33.8.0-3.a.1.2, 744.8.0.?, 8184.16.0.?	$[(615/2, 15747/2)]$
67518.e1	67518x1	67518.e	67518x	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( - 2^{13} \cdot 3^{14} \cdot 11^{9} \cdot 31 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2728$	$2$	$0$	$1$	$1$		$0$	$7188480$	$3.152756$	$-22724271869580547993/2217684344832$	$0.99564$	$5.89463$	$[1, -1, 0, -64261368, 198310114624]$	\(y^2+xy=x^3-x^2-64261368x+198310114624\)	2728.2.0.?	$[ ]$
67518.f1	67518i1	67518.f	67518i	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( 2^{8} \cdot 3^{7} \cdot 11^{3} \cdot 31^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$1.010311079$	$1$		$7$	$110592$	$1.040560$	$18129265883/738048$	$0.90598$	$3.36382$	$[1, -1, 0, -5418, 149364]$	\(y^2+xy=x^3-x^2-5418x+149364\)	2.3.0.a.1, 12.6.0.f.1, 44.6.0.c.1, 66.6.0.a.1, 132.12.0.?	$[(25, 158)]$
67518.f2	67518i2	67518.f	67518i	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( - 2^{4} \cdot 3^{8} \cdot 11^{3} \cdot 31^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$0.505155539$	$1$		$8$	$221184$	$1.387133$	$1784770597/132987024$	$1.04674$	$3.59150$	$[1, -1, 0, 2502, 543780]$	\(y^2+xy=x^3-x^2+2502x+543780\)	2.3.0.a.1, 12.6.0.f.1, 22.6.0.a.1, 132.12.0.?	$[(-48, 582)]$
67518.g1	67518n1	67518.g	67518n	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( - 2^{14} \cdot 3^{7} \cdot 11^{8} \cdot 31 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$372$	$2$	$0$	$5.585742954$	$1$		$2$	$827904$	$2.071003$	$-13362445393/1523712$	$0.98118$	$4.43073$	$[1, -1, 0, -266283, -57798779]$	\(y^2+xy=x^3-x^2-266283x-57798779\)	372.2.0.?	$[(749, 12374)]$
67518.h1	67518v1	67518.h	67518v	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( 2^{7} \cdot 3^{15} \cdot 11^{2} \cdot 31 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$744$	$2$	$0$	$1$	$1$		$0$	$338688$	$1.584499$	$3925553794409401/78102144$	$0.97714$	$4.25298$	$[1, -1, 0, -146295, -21500451]$	\(y^2+xy=x^3-x^2-146295x-21500451\)	744.2.0.?	$[ ]$
67518.i1	67518l1	67518.i	67518l	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( - 2^{10} \cdot 3^{20} \cdot 11^{8} \cdot 31^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.2.0.1		$124$	$4$	$0$	$2.220222666$	$1$		$2$	$26019840$	$3.858025$	$-3718690552005865823761/4706747606016$	$1.03015$	$6.78431$	$[1, -1, 0, -1738515015, 27901209024189]$	\(y^2+xy=x^3-x^2-1738515015x+27901209024189\)	4.2.0.a.1, 124.4.0.?	$[(24654, 144489)]$
67518.j1	67518k1	67518.j	67518k	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( 2^{9} \cdot 3^{13} \cdot 11^{4} \cdot 31 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$744$	$2$	$0$	$1.926652946$	$1$		$2$	$241920$	$1.611557$	$3270268089121/34712064$	$0.95960$	$4.04663$	$[1, -1, 0, -68085, 6791989]$	\(y^2+xy=x^3-x^2-68085x+6791989\)	744.2.0.?	$[(107, 797)]$
67518.k1	67518s1	67518.k	67518s	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( 2^{10} \cdot 3^{17} \cdot 11^{7} \cdot 31^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8184$	$12$	$0$	$1$	$1$		$1$	$6758400$	$3.089207$	$7219775199978393625/1917563839488$	$0.99118$	$5.79150$	$[1, -1, 0, -43849152, 111746219008]$	\(y^2+xy=x^3-x^2-43849152x+111746219008\)	2.3.0.a.1, 66.6.0.a.1, 248.6.0.?, 8184.12.0.?	$[ ]$
67518.k2	67518s2	67518.k	67518s	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( - 2^{5} \cdot 3^{28} \cdot 11^{8} \cdot 31 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8184$	$12$	$0$	$1$	$4$	$2$	$0$	$13516800$	$3.435780$	$-4866890555501529625/3766731346987488$	$1.04572$	$5.83239$	$[1, -1, 0, -38447712, 140297150560]$	\(y^2+xy=x^3-x^2-38447712x+140297150560\)	2.3.0.a.1, 132.6.0.?, 248.6.0.?, 8184.12.0.?	$[ ]$
67518.l1	67518d1	67518.l	67518d	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( - 2^{2} \cdot 3^{9} \cdot 11^{2} \cdot 31 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$372$	$2$	$0$	$1.042512130$	$1$		$4$	$20736$	$0.308390$	$37125/124$	$0.97250$	$2.40717$	$[1, -1, 0, 93, -775]$	\(y^2+xy=x^3-x^2+93x-775\)	372.2.0.?	$[(7, 10)]$
67518.m1	67518g2	67518.m	67518g	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( 2 \cdot 3^{8} \cdot 11^{3} \cdot 31 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8184$	$12$	$0$	$2.937974963$	$1$		$12$	$92160$	$1.086935$	$4000748046875/558$	$1.05953$	$3.84913$	$[1, -1, 0, -32742, 2288578]$	\(y^2+xy=x^3-x^2-32742x+2288578\)	2.3.0.a.1, 132.6.0.?, 744.6.0.?, 2728.6.0.?, 8184.12.0.?	$[(113, 92), (311, 4547)]$
67518.m2	67518g1	67518.m	67518g	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( 2^{2} \cdot 3^{7} \cdot 11^{3} \cdot 31^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8184$	$12$	$0$	$0.734493740$	$1$		$19$	$46080$	$0.740361$	$985074875/11532$	$0.87482$	$3.10190$	$[1, -1, 0, -2052, 35932]$	\(y^2+xy=x^3-x^2-2052x+35932\)	2.3.0.a.1, 66.6.0.a.1, 744.6.0.?, 2728.6.0.?, 8184.12.0.?	$[(14, 92), (23, 11)]$
67518.n1	67518q1	67518.n	67518q	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( - 2^{4} \cdot 3^{11} \cdot 11^{4} \cdot 31 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$372$	$2$	$0$	$1$	$1$		$0$	$76800$	$1.003366$	$-1890625/120528$	$1.01853$	$3.17861$	$[1, -1, 0, -567, -54675]$	\(y^2+xy=x^3-x^2-567x-54675\)	372.2.0.?	$[ ]$
67518.o1	67518c1	67518.o	67518c	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( - 2^{2} \cdot 3^{3} \cdot 11^{8} \cdot 31 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$372$	$2$	$0$	$0.996054844$	$1$		$2$	$76032$	$0.958032$	$37125/124$	$0.97250$	$3.10821$	$[1, -1, 0, 1248, -37372]$	\(y^2+xy=x^3-x^2+1248x-37372\)	372.2.0.?	$[(91, 862)]$
67518.p1	67518h1	67518.p	67518h	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( - 2^{33} \cdot 3^{12} \cdot 11^{9} \cdot 31^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.6.0.1	3Ns	$8184$	$24$	$1$	$1$	$25$	$5$	$0$	$75271680$	$4.341354$	$-2383309398005493875/186553098502668288$	$1.06989$	$6.78069$	$[1, -1, 0, -333354357, 27345825923125]$	\(y^2+xy=x^3-x^2-333354357x+27345825923125\)	3.6.0.b.1, 33.12.0.a.1, 744.12.0.?, 2728.2.0.?, 8184.24.1.?	$[ ]$
67518.q1	67518r1	67518.q	67518r	$2$	$3$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( - 2^{8} \cdot 3^{21} \cdot 11^{2} \cdot 31 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$4092$	$16$	$0$	$1$	$1$		$0$	$645120$	$1.790987$	$-514714335771625/113872925952$	$0.97113$	$4.09939$	$[1, -1, 0, -74322, 9187668]$	\(y^2+xy=x^3-x^2-74322x+9187668\)	3.4.0.a.1, 33.8.0-3.a.1.1, 372.8.0.?, 4092.16.0.?	$[ ]$
67518.q2	67518r2	67518.q	67518r	$2$	$3$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( - 2^{24} \cdot 3^{11} \cdot 11^{2} \cdot 31^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$4092$	$16$	$0$	$1$	$1$		$0$	$1935360$	$2.340294$	$183610204387358375/121453840171008$	$1.02327$	$4.59877$	$[1, -1, 0, 527103, -55838403]$	\(y^2+xy=x^3-x^2+527103x-55838403\)	3.4.0.a.1, 33.8.0-3.a.1.2, 372.8.0.?, 4092.16.0.?	$[ ]$
67518.r1	67518t1	67518.r	67518t	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( - 2 \cdot 3^{17} \cdot 11^{6} \cdot 31 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$744$	$2$	$0$	$1$	$1$		$0$	$475200$	$1.825745$	$-64432972729/10983114$	$0.96365$	$4.14797$	$[1, -1, 0, -90954, -11989994]$	\(y^2+xy=x^3-x^2-90954x-11989994\)	744.2.0.?	$[ ]$
67518.s1	67518a1	67518.s	67518a	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( - 2 \cdot 3^{9} \cdot 11^{6} \cdot 31 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$744$	$2$	$0$	$1$	$1$		$0$	$64800$	$1.045795$	$-27/62$	$1.15542$	$3.22451$	$[1, -1, 0, -204, 70802]$	\(y^2+xy=x^3-x^2-204x+70802\)	744.2.0.?	$[ ]$
67518.t1	67518u1	67518.t	67518u	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( 2^{5} \cdot 3^{7} \cdot 11^{8} \cdot 31 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$744$	$2$	$0$	$1$	$1$		$0$	$464640$	$1.708458$	$1722499009/2976$	$1.05274$	$4.23033$	$[1, -1, 0, -134514, -18926924]$	\(y^2+xy=x^3-x^2-134514x-18926924\)	744.2.0.?	$[ ]$
67518.u1	67518e1	67518.u	67518e	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( 2^{2} \cdot 3^{3} \cdot 11^{7} \cdot 31^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$1.798738416$	$1$		$3$	$230400$	$1.449770$	$1170572220819/42284$	$0.90931$	$4.08913$	$[1, -1, 0, -79701, -8640351]$	\(y^2+xy=x^3-x^2-79701x-8640351\)	2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[(1488, 55521)]$
67518.u2	67518e2	67518.u	67518e	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( - 2 \cdot 3^{3} \cdot 11^{8} \cdot 31^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$3.597476832$	$1$		$2$	$460800$	$1.796343$	$-1017804635379/223492082$	$0.91455$	$4.10548$	$[1, -1, 0, -76071, -9465813]$	\(y^2+xy=x^3-x^2-76071x-9465813\)	2.3.0.a.1, 24.6.0.b.1, 88.6.0.?, 132.6.0.?, 264.12.0.?	$[(531, 9717)]$
67518.v1	67518m1	67518.v	67518m	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( - 2^{3} \cdot 3^{10} \cdot 11^{7} \cdot 31 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2728$	$2$	$0$	$1.200621999$	$1$		$2$	$276480$	$1.453487$	$4657463/220968$	$0.87375$	$3.66247$	$[1, -1, 0, 3789, 806845]$	\(y^2+xy=x^3-x^2+3789x+806845\)	2728.2.0.?	$[(113, 1577)]$
67518.w1	67518w2	67518.w	67518w	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( 2^{4} \cdot 3^{12} \cdot 11^{8} \cdot 31 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4092$	$12$	$0$	$1$	$1$		$0$	$1474560$	$2.331951$	$2061621066895417/43751664$	$0.95281$	$5.05760$	$[1, -1, 0, -2887506, 1889254692]$	\(y^2+xy=x^3-x^2-2887506x+1889254692\)	2.3.0.a.1, 124.6.0.?, 132.6.0.?, 4092.12.0.?	$[ ]$
67518.w2	67518w1	67518.w	67518w	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( 2^{8} \cdot 3^{9} \cdot 11^{7} \cdot 31^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4092$	$12$	$0$	$1$	$1$		$1$	$737280$	$1.985380$	$558051585337/73066752$	$0.90054$	$4.31890$	$[1, -1, 0, -186786, 27378324]$	\(y^2+xy=x^3-x^2-186786x+27378324\)	2.3.0.a.1, 66.6.0.a.1, 124.6.0.?, 4092.12.0.?	$[ ]$
67518.x1	67518y2	67518.x	67518y	$2$	$3$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( - 2^{2} \cdot 3^{8} \cdot 11^{8} \cdot 31^{6} \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.2.0.1, 3.8.0.1	3B.1.1	$372$	$32$	$0$	$1$	$4$	$2$	$2$	$5474304$	$2.847168$	$-5194015116433/31950132516$	$0.97788$	$5.17142$	$[1, -1, 0, -1943343, 3556414593]$	\(y^2+xy=x^3-x^2-1943343x+3556414593\)	3.8.0-3.a.1.2, 4.2.0.a.1, 12.16.0-12.a.1.6, 124.4.0.?, 372.32.0.?	$[ ]$
67518.x2	67518y1	67518.x	67518y	$2$	$3$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( - 2^{6} \cdot 3^{12} \cdot 11^{8} \cdot 31^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.2.0.1, 3.8.0.2	3B.1.2	$372$	$32$	$0$	$1$	$4$	$2$	$0$	$1824768$	$2.297863$	$6827155247/44836416$	$0.93338$	$4.56431$	$[1, -1, 0, 212877, -121665483]$	\(y^2+xy=x^3-x^2+212877x-121665483\)	3.8.0-3.a.1.1, 4.2.0.a.1, 12.16.0-12.a.1.5, 124.4.0.?, 372.32.0.?	$[ ]$
67518.y1	67518j1	67518.y	67518j	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( - 2 \cdot 3^{8} \cdot 11^{9} \cdot 31 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2728$	$2$	$0$	$10.73622304$	$1$		$0$	$456192$	$1.647236$	$-15813251/558$	$0.82078$	$4.02947$	$[1, -1, 0, -62640, -6199902]$	\(y^2+xy=x^3-x^2-62640x-6199902\)	2728.2.0.?	$[(4626381/53, 9703445181/53)]$
67518.z1	67518b2	67518.z	67518b	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( 2^{4} \cdot 3^{9} \cdot 11^{12} \cdot 31 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4092$	$12$	$0$	$1$	$4$	$2$	$0$	$5529600$	$2.700829$	$2112277884550443/878694256$	$0.99706$	$5.35617$	$[1, -1, 0, -8732895, 9931727933]$	\(y^2+xy=x^3-x^2-8732895x+9931727933\)	2.3.0.a.1, 132.6.0.?, 186.6.0.?, 1364.6.0.?, 4092.12.0.?	$[ ]$
67518.z2	67518b1	67518.z	67518b	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( 2^{8} \cdot 3^{9} \cdot 11^{9} \cdot 31^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4092$	$12$	$0$	$1$	$4$	$2$	$1$	$2764800$	$2.354252$	$795824837163/327447296$	$0.96835$	$4.64720$	$[1, -1, 0, -630735, 103807853]$	\(y^2+xy=x^3-x^2-630735x+103807853\)	2.3.0.a.1, 66.6.0.a.1, 372.6.0.?, 1364.6.0.?, 4092.12.0.?	$[ ]$
67518.ba1	67518ba1	67518.ba	67518ba	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( 2^{2} \cdot 3^{7} \cdot 11^{9} \cdot 31^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8184$	$12$	$0$	$1$	$1$		$1$	$1105920$	$1.817028$	$27027009001/15349092$	$1.12011$	$4.04663$	$[1, -1, 0, -68085, 950593]$	\(y^2+xy=x^3-x^2-68085x+950593\)	2.3.0.a.1, 66.6.0.a.1, 248.6.0.?, 8184.12.0.?	$[ ]$
67518.ba2	67518ba2	67518.ba	67518ba	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( - 2 \cdot 3^{8} \cdot 11^{12} \cdot 31 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8184$	$12$	$0$	$1$	$4$	$2$	$0$	$2211840$	$2.163601$	$1676253304439/988531038$	$0.96793$	$4.41780$	$[1, -1, 0, 269505, 7364803]$	\(y^2+xy=x^3-x^2+269505x+7364803\)	2.3.0.a.1, 132.6.0.?, 248.6.0.?, 8184.12.0.?	$[ ]$
67518.bb1	67518bc2	67518.bb	67518bc	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( 2^{4} \cdot 3^{3} \cdot 11^{12} \cdot 31 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4092$	$12$	$0$	$1.688275300$	$4$	$2$	$6$	$1843200$	$2.151520$	$2112277884550443/878694256$	$0.99706$	$4.76340$	$[1, -1, 1, -970322, -367518335]$	\(y^2+xy+y=x^3-x^2-970322x-367518335\)	2.3.0.a.1, 132.6.0.?, 186.6.0.?, 1364.6.0.?, 4092.12.0.?	$[(-569, 647)]$
67518.bb2	67518bc1	67518.bb	67518bc	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( 2^{8} \cdot 3^{3} \cdot 11^{9} \cdot 31^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4092$	$12$	$0$	$0.844137650$	$1$		$9$	$921600$	$1.804947$	$795824837163/327447296$	$0.96835$	$4.05443$	$[1, -1, 1, -70082, -3821375]$	\(y^2+xy+y=x^3-x^2-70082x-3821375\)	2.3.0.a.1, 66.6.0.a.1, 372.6.0.?, 1364.6.0.?, 4092.12.0.?	$[(355, 3815)]$
67518.bc1	67518bu1	67518.bc	67518bu	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( 2 \cdot 3^{7} \cdot 11^{8} \cdot 31 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$744$	$2$	$0$	$1$	$1$		$0$	$194304$	$1.360487$	$6289657/186$	$0.78890$	$3.72560$	$[1, -1, 1, -20714, 1122927]$	\(y^2+xy+y=x^3-x^2-20714x+1122927\)	744.2.0.?	$[ ]$
67518.bd1	67518cd2	67518.bd	67518cd	$2$	$3$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( 2^{9} \cdot 3^{7} \cdot 11^{10} \cdot 31^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$8184$	$16$	$0$	$10.43103023$	$1$		$0$	$43110144$	$3.997509$	$2158639721565356908417/45758976$	$1.04604$	$7.16667$	$[1, -1, 1, -7173045914, -233829983494951]$	\(y^2+xy+y=x^3-x^2-7173045914x-233829983494951\)	3.4.0.a.1, 33.8.0-3.a.1.2, 744.8.0.?, 8184.16.0.?	$[(-41122953/29, 597707843/29)]$
67518.bd2	67518cd1	67518.bd	67518cd	$2$	$3$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( 2^{27} \cdot 3^{9} \cdot 11^{10} \cdot 31 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$8184$	$16$	$0$	$3.477010077$	$1$		$2$	$14370048$	$3.448200$	$4143359416745857/112340238336$	$0.99979$	$5.98292$	$[1, -1, 1, -89144474, -316256426791]$	\(y^2+xy+y=x^3-x^2-89144474x-316256426791\)	3.4.0.a.1, 33.8.0-3.a.1.1, 744.8.0.?, 8184.16.0.?	$[(-5967, 59431)]$
67518.be1	67518bf1	67518.be	67518bf	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( 2^{2} \cdot 3^{9} \cdot 11^{7} \cdot 31^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$1$	$1$		$1$	$691200$	$1.999075$	$1170572220819/42284$	$0.90931$	$4.68190$	$[1, -1, 1, -717311, 234006787]$	\(y^2+xy+y=x^3-x^2-717311x+234006787\)	2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[ ]$
67518.be2	67518bf2	67518.be	67518bf	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( - 2 \cdot 3^{9} \cdot 11^{8} \cdot 31^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$1$	$1$		$0$	$1382400$	$2.345650$	$-1017804635379/223492082$	$0.91455$	$4.69825$	$[1, -1, 1, -684641, 256261591]$	\(y^2+xy+y=x^3-x^2-684641x+256261591\)	2.3.0.a.1, 24.6.0.b.1, 88.6.0.?, 132.6.0.?, 264.12.0.?	$[ ]$
67518.bf1	67518bt1	67518.bf	67518bt	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( - 2^{14} \cdot 3^{7} \cdot 11^{2} \cdot 31 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$372$	$2$	$0$	$0.226125649$	$1$		$22$	$75264$	$0.872057$	$-13362445393/1523712$	$0.98118$	$3.13692$	$[1, -1, 1, -2201, 44025]$	\(y^2+xy+y=x^3-x^2-2201x+44025\)	372.2.0.?	$[(23, 60), (39, 108)]$
67518.bg1	67518bs2	67518.bg	67518bs	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( 2^{2} \cdot 3^{16} \cdot 11^{8} \cdot 31 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4092$	$12$	$0$	$5.945120358$	$1$		$6$	$1228800$	$2.253498$	$40767965189713/885971196$	$0.92938$	$4.70479$	$[1, -1, 1, -780836, 260736171]$	\(y^2+xy+y=x^3-x^2-780836x+260736171\)	2.3.0.a.1, 124.6.0.?, 132.6.0.?, 4092.12.0.?	$[(597, 2363), (773, 10503)]$
67518.bg2	67518bs1	67518.bg	67518bs	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( 2^{4} \cdot 3^{11} \cdot 11^{7} \cdot 31^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4092$	$12$	$0$	$1.486280089$	$1$		$17$	$614400$	$1.906925$	$100999381393/41100048$	$1.03769$	$4.16518$	$[1, -1, 1, -105656, -7175253]$	\(y^2+xy+y=x^3-x^2-105656x-7175253\)	2.3.0.a.1, 66.6.0.a.1, 124.6.0.?, 4092.12.0.?	$[(399, 3551), (1367, 48321)]$
67518.bh1	67518bj1	67518.bh	67518bj	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( 2^{8} \cdot 3^{7} \cdot 11^{9} \cdot 31^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$1$	$1$		$1$	$1216512$	$2.239506$	$18129265883/738048$	$0.90598$	$4.65763$	$[1, -1, 1, -655601, -196836703]$	\(y^2+xy+y=x^3-x^2-655601x-196836703\)	2.3.0.a.1, 12.6.0.f.1, 44.6.0.c.1, 66.6.0.a.1, 132.12.0.?	$[ ]$
67518.bh2	67518bj2	67518.bh	67518bj	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( - 2^{4} \cdot 3^{8} \cdot 11^{9} \cdot 31^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$1$	$1$		$0$	$2433024$	$2.586079$	$1784770597/132987024$	$1.04674$	$4.88531$	$[1, -1, 1, 302719, -724679359]$	\(y^2+xy+y=x^3-x^2+302719x-724679359\)	2.3.0.a.1, 12.6.0.f.1, 22.6.0.a.1, 132.12.0.?	$[ ]$

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