LMFDB - Elliptic curves over $\Q$ of conductor 42042

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Isogeny class degree	Cyclic isogeny degree	Isogeny class size	Integral points

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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	$Ш_{\textrm{an}}$	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
42042.a1	42042l1	42042.a	42042l	$1$	$1$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ 2^{2} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$858$	$2$	$0$	$1.246147992$	$1$	$10$	$7104$	$-0.244869$	$139317577/1716$	$0.79230$	$2.12692$	$[1, 1, 0, -39, -111]$	$y^2+xy=x^3+x^2-39x-111$	858.2.0.?	$[(-4, 3), (8, 9)]$
42042.b1	42042v1	42042.b	42042v	$2$	$3$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ - 2^{13} \cdot 3^{6} \cdot 7^{6} \cdot 11^{3} \cdot 13 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$24024$	$16$	$0$	$7.799658599$	$1$	$0$	$1179360$	$2.389744$	$-124352595912593543977/103332962304$	$1.02112$	$5.44268$	$[1, 1, 0, -5095339, -4429108739]$	$y^2+xy=x^3+x^2-5095339x-4429108739$	3.4.0.a.1, 21.8.0-3.a.1.1, 1144.2.0.?, 3432.8.0.?, 24024.16.0.?	$[(41845/4, 678709/4)]$
42042.b2	42042v2	42042.b	42042v	$2$	$3$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ - 2^{39} \cdot 3^{2} \cdot 7^{6} \cdot 11 \cdot 13^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$24024$	$16$	$0$	$23.39897579$	$1$	$0$	$3538080$	$2.939053$	$-58169016237585194137/119573538788081664$	$1.03495$	$5.51368$	$[1, 1, 0, -3955354, -6461653484]$	$y^2+xy=x^3+x^2-3955354x-6461653484$	3.4.0.a.1, 21.8.0-3.a.1.2, 1144.2.0.?, 3432.8.0.?, 24024.16.0.?	$[(16287624709/2524, 173876375316115/2524)]$
42042.c1	42042n2	42042.c	42042n	$2$	$2$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ 2^{3} \cdot 3^{2} \cdot 7^{10} \cdot 11 \cdot 13^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3432$	$12$	$0$	$1.119259904$	$1$	$6$	$147456$	$1.374744$	$8763476225113/321369048$	$0.88954$	$3.89587$	$[1, 1, 0, -21046, 1128604]$	$y^2+xy=x^3+x^2-21046x+1128604$	2.3.0.a.1, 88.6.0.?, 156.6.0.?, 3432.12.0.?	$[(139, 886)]$
42042.c2	42042n1	42042.c	42042n	$2$	$2$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ - 2^{6} \cdot 3 \cdot 7^{8} \cdot 11^{2} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3432$	$12$	$0$	$2.238519808$	$1$	$5$	$73728$	$1.028172$	$127263527/14798784$	$0.89085$	$3.34716$	$[1, 1, 0, 514, 63540]$	$y^2+xy=x^3+x^2+514x+63540$	2.3.0.a.1, 78.6.0.?, 88.6.0.?, 3432.12.0.?	$[(13, 263)]$
42042.d1	42042o2	42042.d	42042o	$2$	$2$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ 2^{6} \cdot 3^{10} \cdot 7^{3} \cdot 11^{2} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$12012$	$12$	$0$	$0.921444542$	$1$	$6$	$153600$	$1.302765$	$9303267841891759/5944580928$	$0.95833$	$4.00199$	$[1, 1, 0, -30671, 2053605]$	$y^2+xy=x^3+x^2-30671x+2053605$	2.3.0.a.1, 364.6.0.?, 924.6.0.?, 1716.6.0.?, 12012.12.0.?	$[(38, 953)]$
42042.d2	42042o1	42042.d	42042o	$2$	$2$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ - 2^{12} \cdot 3^{5} \cdot 7^{3} \cdot 11 \cdot 13^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$12012$	$12$	$0$	$1.842889084$	$1$	$5$	$76800$	$0.956191$	$-1204210547119/1850314752$	$0.92257$	$3.28286$	$[1, 1, 0, -1551, 44325]$	$y^2+xy=x^3+x^2-1551x+44325$	2.3.0.a.1, 364.6.0.?, 462.6.0.?, 1716.6.0.?, 12012.12.0.?	$[(14, 153)]$
42042.e1	42042e1	42042.e	42042e	$1$	$1$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ - 2^{7} \cdot 3^{7} \cdot 7^{8} \cdot 11 \cdot 13^{2} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$264$	$2$	$0$	$1$	$1$	$0$	$263424$	$1.657099$	$571039705271/520401024$	$0.90739$	$4.00491$	$[1, 1, 0, 30992, -1579136]$	$y^2+xy=x^3+x^2+30992x-1579136$	264.2.0.?	$[]$
42042.f1	42042w1	42042.f	42042w	$1$	$1$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ - 2^{7} \cdot 3^{17} \cdot 7^{2} \cdot 11^{3} \cdot 13^{2} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$264$	$2$	$0$	$1$	$1$	$0$	$411264$	$1.991241$	$20329346580026519/3718228368007296$	$1.02573$	$4.43298$	$[1, 1, 0, 20807, 20512549]$	$y^2+xy=x^3+x^2+20807x+20512549$	264.2.0.?	$[]$
42042.g1	42042k4	42042.g	42042k	$4$	$6$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ 2^{15} \cdot 3^{6} \cdot 7^{24} \cdot 11^{3} \cdot 13^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$24024$	$96$	$1$	$1$	$1$	$0$	$238878720$	$5.025635$	$16250708692977087048493451847625/8749977648266474863605153792$	$1.06854$	$7.84687$	$[1, 1, 0, -25857048165, 422135694720909]$	$y^2+xy=x^3+x^2-25857048165x+422135694720909$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 42.24.0-6.a.1.4, $\ldots$	$[]$
42042.g2	42042k3	42042.g	42042k	$4$	$6$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ 2^{30} \cdot 3^{3} \cdot 7^{15} \cdot 11^{6} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$24024$	$96$	$1$	$1$	$1$	$1$	$119439360$	$4.679062$	$3282666836869681281754155591625/26942969374939856448258048$	$1.04487$	$7.69664$	$[1, 1, 0, -15171567205, -714160487661683]$	$y^2+xy=x^3+x^2-15171567205x-714160487661683$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 42.24.0-6.a.1.4, $\ldots$	$[]$
42042.g3	42042k2	42042.g	42042k	$4$	$6$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ 2^{5} \cdot 3^{18} \cdot 7^{12} \cdot 11 \cdot 13^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$24024$	$96$	$1$	$1$	$1$	$0$	$79626240$	$4.476326$	$3263279883032933444452132257625/77441472526453540753248$	$1.04475$	$7.69608$	$[1, 1, 0, -15141641190, -717137536994892]$	$y^2+xy=x^3+x^2-15141641190x-717137536994892$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 42.24.0-6.a.1.3, $\ldots$	$[]$
42042.g4	42042k1	42042.g	42042k	$4$	$6$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ 2^{10} \cdot 3^{9} \cdot 7^{9} \cdot 11^{2} \cdot 13^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$24024$	$96$	$1$	$1$	$1$	$1$	$39813120$	$4.129753$	$3263224124812796801735447265625/1837810787484672$	$1.09727$	$7.69608$	$[1, 1, 0, -15141554950, -717146114477036]$	$y^2+xy=x^3+x^2-15141554950x-717146114477036$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 42.24.0-6.a.1.3, $\ldots$	$[]$
42042.h1	42042g2	42042.h	42042g	$2$	$2$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ 2^{5} \cdot 3^{4} \cdot 7^{8} \cdot 11 \cdot 13^{4} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$616$	$12$	$0$	$3.577837786$	$1$	$12$	$245760$	$1.750618$	$501796540869625/39902230368$	$0.91896$	$4.27605$	$[1, 1, 0, -81120, 8225568]$	$y^2+xy=x^3+x^2-81120x+8225568$	2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.?	$[(237, 1425), (41, 2209)]$
42042.h2	42042g1	42042.h	42042g	$2$	$2$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ - 2^{10} \cdot 3^{2} \cdot 7^{7} \cdot 11^{2} \cdot 13^{2} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$616$	$12$	$0$	$0.894459446$	$1$	$19$	$122880$	$1.404043$	$126128378375/1319205888$	$0.90564$	$3.76404$	$[1, 1, 0, 5120, 584704]$	$y^2+xy=x^3+x^2+5120x+584704$	2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.?	$[(13, 802), (-32, 640)]$
42042.i1	42042h4	42042.i	42042h	$4$	$6$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ 2^{12} \cdot 3 \cdot 7^{6} \cdot 11^{6} \cdot 13^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$12012$	$96$	$1$	$1$	$1$	$0$	$995328$	$2.408779$	$30618029936661765625/3678951124992$	$1.13012$	$5.31104$	$[1, 1, 0, -3193600, 2195132416]$	$y^2+xy=x^3+x^2-3193600x+2195132416$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.h.1, 21.8.0-3.a.1.2, $\ldots$	$[]$
42042.i2	42042h3	42042.i	42042h	$4$	$6$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ - 2^{24} \cdot 3^{2} \cdot 7^{6} \cdot 11^{3} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$12012$	$96$	$1$	$1$	$1$	$1$	$497664$	$2.062206$	$-5764706497797625/2612665516032$	$0.98882$	$4.55969$	$[1, 1, 0, -183040, 40173568]$	$y^2+xy=x^3+x^2-183040x+40173568$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.i.1, 21.8.0-3.a.1.2, $\ldots$	$[]$
42042.i3	42042h2	42042.i	42042h	$4$	$6$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ 2^{4} \cdot 3^{3} \cdot 7^{6} \cdot 11^{2} \cdot 13^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$12012$	$96$	$1$	$1$	$1$	$0$	$331776$	$1.859474$	$645532578015625/252306960048$	$1.03336$	$4.29971$	$[1, 1, 0, -88225, -5783483]$	$y^2+xy=x^3+x^2-88225x-5783483$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.h.1, 21.8.0-3.a.1.1, $\ldots$	$[]$
42042.i4	42042h1	42042.i	42042h	$4$	$6$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ - 2^{8} \cdot 3^{6} \cdot 7^{6} \cdot 11 \cdot 13^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$12012$	$96$	$1$	$1$	$1$	$1$	$165888$	$1.512899$	$5137417856375/4510142208$	$0.96333$	$3.84571$	$[1, 1, 0, 17615, -639659]$	$y^2+xy=x^3+x^2+17615x-639659$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.i.1, 21.8.0-3.a.1.1, $\ldots$	$[]$
42042.j1	42042i1	42042.j	42042i	$2$	$3$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ - 2^{2} \cdot 3^{15} \cdot 7^{2} \cdot 11 \cdot 13^{2} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$924$	$16$	$0$	$1$	$1$	$0$	$95040$	$1.149014$	$-263993340837625/106698472452$	$0.93741$	$3.53438$	$[1, 1, 0, -4890, -173592]$	$y^2+xy=x^3+x^2-4890x-173592$	3.4.0.a.1, 21.8.0-3.a.1.1, 132.8.0.?, 924.16.0.?	$[]$
42042.j2	42042i2	42042.j	42042i	$2$	$3$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ - 2^{6} \cdot 3^{5} \cdot 7^{2} \cdot 11^{3} \cdot 13^{6} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$924$	$16$	$0$	$1$	$1$	$0$	$285120$	$1.698320$	$120305466752972375/99913556179008$	$0.98219$	$4.05964$	$[1, 1, 0, 37635, 1869309]$	$y^2+xy=x^3+x^2+37635x+1869309$	3.4.0.a.1, 21.8.0-3.a.1.2, 132.8.0.?, 924.16.0.?	$[]$
42042.k1	42042j4	42042.k	42042j	$4$	$6$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ 2^{3} \cdot 3^{2} \cdot 7^{8} \cdot 11^{3} \cdot 13^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$24024$	$96$	$1$	$1$	$1$	$0$	$1327104$	$2.452110$	$21300579951997515625/22665575244312$	$1.00741$	$5.27696$	$[1, 1, 0, -2829775, 1829349229]$	$y^2+xy=x^3+x^2-2829775x+1829349229$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 42.24.0-6.a.1.4, $\ldots$	$[]$
42042.k2	42042j3	42042.k	42042j	$4$	$6$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ 2^{6} \cdot 3 \cdot 7^{7} \cdot 11^{6} \cdot 13^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$24024$	$96$	$1$	$1$	$1$	$1$	$663552$	$2.105537$	$10148545224987625/5231008630848$	$0.96212$	$4.55849$	$[1, 1, 0, -221015, 13130517]$	$y^2+xy=x^3+x^2-221015x+13130517$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 42.24.0-6.a.1.4, $\ldots$	$[]$
42042.k3	42042j2	42042.k	42042j	$4$	$6$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ 2 \cdot 3^{6} \cdot 7^{12} \cdot 11 \cdot 13^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$24024$	$96$	$1$	$1$	$1$	$0$	$442368$	$1.902805$	$2001566936265625/318878437878$	$1.10006$	$4.40600$	$[1, 1, 0, -128650, -15173402]$	$y^2+xy=x^3+x^2-128650x-15173402$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 42.24.0-6.a.1.3, $\ldots$	$[]$
42042.k4	42042j1	42042.k	42042j	$4$	$6$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ 2^{2} \cdot 3^{3} \cdot 7^{9} \cdot 11^{2} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$24024$	$96$	$1$	$1$	$1$	$1$	$221184$	$1.556231$	$1760384222493625/58270212$	$0.92492$	$4.39394$	$[1, 1, 0, -123260, -16707396]$	$y^2+xy=x^3+x^2-123260x-16707396$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 42.24.0-6.a.1.3, $\ldots$	$[]$
42042.l1	42042q4	42042.l	42042q	$4$	$6$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ 2^{9} \cdot 3^{2} \cdot 7^{12} \cdot 11 \cdot 13^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$24024$	$96$	$1$	$6.427473238$	$1$	$0$	$2985984$	$2.821098$	$50755950018496437625/28784156647454208$	$1.01833$	$5.35851$	$[1, 1, 0, -3779640, -401911488]$	$y^2+xy=x^3+x^2-3779640x-401911488$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 42.24.0-6.a.1.4, $\ldots$	$[(-29597/6, -9928181/6)]$
42042.l2	42042q2	42042.l	42042q	$4$	$6$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ 2^{3} \cdot 3^{6} \cdot 7^{8} \cdot 11^{3} \cdot 13^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$24024$	$96$	$1$	$2.142491079$	$1$	$2$	$995328$	$2.271790$	$20309435779581663625/64280368152$	$0.97178$	$5.27248$	$[1, 1, 0, -2785185, -1790233731]$	$y^2+xy=x^3+x^2-2785185x-1790233731$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 42.24.0-6.a.1.3, $\ldots$	$[(4563, 281502)]$
42042.l3	42042q3	42042.l	42042q	$4$	$6$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ 2^{18} \cdot 3 \cdot 7^{9} \cdot 11^{2} \cdot 13^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$24024$	$96$	$1$	$3.213736619$	$1$	$1$	$1492992$	$2.474522$	$12991547986467765625/71708514189312$	$1.00569$	$5.23052$	$[1, 1, 0, -2399800, 1423064896]$	$y^2+xy=x^3+x^2-2399800x+1423064896$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 42.24.0-6.a.1.4, $\ldots$	$[(3083/2, 42193/2)]$
42042.l4	42042q1	42042.l	42042q	$4$	$6$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ 2^{6} \cdot 3^{3} \cdot 7^{7} \cdot 11^{6} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$24024$	$96$	$1$	$1.071245539$	$1$	$5$	$497664$	$1.925217$	$5162020164015625/278574424128$	$0.97279$	$4.49499$	$[1, 1, 0, -176425, -27233723]$	$y^2+xy=x^3+x^2-176425x-27233723$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 42.24.0-6.a.1.3, $\ldots$	$[(-211, 914)]$
42042.m1	42042p4	42042.m	42042p	$4$	$6$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ 2^{3} \cdot 3 \cdot 7^{9} \cdot 11^{2} \cdot 13^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$24024$	$96$	$1$	$6.595071029$	$1$	$0$	$995328$	$2.356110$	$9040834853442015625/4807849294248$	$1.00424$	$5.19646$	$[1, 1, 0, -2126625, 1192236333]$	$y^2+xy=x^3+x^2-2126625x+1192236333$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 24.24.0-6.a.1.5, $\ldots$	$[(6443/2, 346749/2)]$
42042.m2	42042p3	42042.m	42042p	$4$	$6$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ - 2^{6} \cdot 3^{2} \cdot 7^{12} \cdot 11 \cdot 13^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$24024$	$96$	$1$	$3.297535514$	$1$	$3$	$497664$	$2.009537$	$-1243857621903625/1637696668608$	$0.93950$	$4.47275$	$[1, 1, 0, -109785, 25292709]$	$y^2+xy=x^3+x^2-109785x+25292709$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 24.24.0-6.a.1.10, $\ldots$	$[(-190, 6367)]$
42042.m3	42042p2	42042.m	42042p	$4$	$6$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ 2 \cdot 3^{3} \cdot 7^{7} \cdot 11^{6} \cdot 13^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$24024$	$96$	$1$	$2.198357009$	$1$	$4$	$331776$	$1.806805$	$501796540869625/113170859802$	$0.92330$	$4.27605$	$[1, 1, 0, -81120, -6980994]$	$y^2+xy=x^3+x^2-81120x-6980994$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 24.24.0-6.a.1.13, $\ldots$	$[(-133, 1282)]$
42042.m4	42042p1	42042.m	42042p	$4$	$6$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ - 2^{2} \cdot 3^{6} \cdot 7^{8} \cdot 11^{3} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$24024$	$96$	$1$	$1.099178504$	$1$	$7$	$165888$	$1.460232$	$1425727406375/2472321852$	$0.89853$	$3.79024$	$[1, 1, 0, 11490, -664992]$	$y^2+xy=x^3+x^2+11490x-664992$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 24.24.0-6.a.1.2, $\ldots$	$[(62, 508)]$
42042.n1	42042d1	42042.n	42042d	$1$	$1$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ 2^{2} \cdot 3^{3} \cdot 7^{8} \cdot 11^{5} \cdot 13 $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$858$	$2$	$0$	$0.605360205$	$1$	$16$	$262080$	$1.612144$	$965635947241/226115604$	$0.89629$	$4.05426$	$[1, 1, 0, -36922, -2122448]$	$y^2+xy=x^3+x^2-36922x-2122448$	858.2.0.?	$[(-78, 578), (216, 88)]$
42042.o1	42042f1	42042.o	42042f	$1$	$1$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ 2^{10} \cdot 3 \cdot 7^{4} \cdot 11 \cdot 13^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$858$	$2$	$0$	$0.232818878$	$1$	$6$	$60480$	$0.859334$	$204109966921/74241024$	$0.91025$	$3.17718$	$[1, 1, 0, -1642, 14932]$	$y^2+xy=x^3+x^2-1642x+14932$	858.2.0.?	$[(132, 1390)]$
42042.p1	42042m2	42042.p	42042m	$2$	$2$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ 2 \cdot 3^{2} \cdot 7^{14} \cdot 11^{3} \cdot 13^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3432$	$12$	$0$	$4.340184317$	$1$	$4$	$1032192$	$2.270172$	$203124303447538537/23341114298502$	$0.95340$	$4.83994$	$[1, 1, 0, -600079, 159925207]$	$y^2+xy=x^3+x^2-600079x+159925207$	2.3.0.a.1, 88.6.0.?, 156.6.0.?, 3432.12.0.?	$[(321, 550)]$
42042.p2	42042m1	42042.p	42042m	$2$	$2$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ - 2^{2} \cdot 3 \cdot 7^{10} \cdot 11^{6} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3432$	$12$	$0$	$8.680368635$	$1$	$3$	$516096$	$1.923599$	$133018079080823/663548801916$	$0.94183$	$4.34209$	$[1, 1, 0, 52111, 12660705]$	$y^2+xy=x^3+x^2+52111x+12660705$	2.3.0.a.1, 78.6.0.?, 88.6.0.?, 3432.12.0.?	$[(41047, 8295879)]$
42042.q1	42042t4	42042.q	42042t	$4$	$4$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ 2^{8} \cdot 3^{4} \cdot 7^{9} \cdot 11^{8} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$2184$	$48$	$0$	$3.595492435$	$1$	$2$	$11796480$	$3.406200$	$24988464356366680777409257/19820013127858944$	$1.01822$	$6.58962$	$[1, 1, 0, -298447559, -1984618689675]$	$y^2+xy=x^3+x^2-298447559x-1984618689675$	2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0-4.c.1.2, 52.12.0-4.c.1.1, $\ldots$	$[(383662, 237205329)]$
42042.q2	42042t2	42042.q	42042t	$4$	$4$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ 2^{16} \cdot 3^{2} \cdot 7^{12} \cdot 11^{4} \cdot 13^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$1092$	$48$	$0$	$7.190984870$	$1$	$2$	$5898240$	$3.059628$	$6225272619854317474537/171699142176866304$	$0.99382$	$5.81025$	$[1, 1, 0, -18779079, -30575019915]$	$y^2+xy=x^3+x^2-18779079x-30575019915$	2.6.0.a.1, 12.12.0.b.1, 28.12.0-2.a.1.1, 52.12.0-2.a.1.1, 84.24.0.?, $\ldots$	$[(140129/5, 24745248/5)]$
42042.q3	42042t1	42042.q	42042t	$4$	$4$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ 2^{32} \cdot 3 \cdot 7^{9} \cdot 11^{2} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$2184$	$48$	$0$	$14.38196974$	$1$	$1$	$2949120$	$2.713051$	$18974193623767438057/6951907079749632$	$0.98228$	$5.26609$	$[1, 1, 0, -2722759, 1046296693]$	$y^2+xy=x^3+x^2-2722759x+1046296693$	2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 52.12.0-4.c.1.2, 56.12.0-4.c.1.5, $\ldots$	$[(32550591/145, 68795743229/145)]$
42042.q4	42042t3	42042.q	42042t	$4$	$4$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ - 2^{8} \cdot 3 \cdot 7^{18} \cdot 11^{2} \cdot 13^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$2184$	$48$	$0$	$14.38196974$	$1$	$0$	$11796480$	$3.406200$	$59633809076653006103/36736390236271934208$	$1.04736$	$6.02827$	$[1, 1, 0, 3988281, -99974486667]$	$y^2+xy=x^3+x^2+3988281x-99974486667$	2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 28.12.0-4.c.1.1, $\ldots$	$[(45306569/95, 182917096032/95)]$
42042.r1	42042r2	42042.r	42042r	$2$	$2$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ 2 \cdot 3^{2} \cdot 7^{6} \cdot 11 \cdot 13^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3432$	$12$	$0$	$0.769988346$	$1$	$6$	$46080$	$0.841887$	$174958262857/33462$	$0.91387$	$3.52825$	$[1, 1, 0, -5709, 163647]$	$y^2+xy=x^3+x^2-5709x+163647$	2.3.0.a.1, 88.6.0.?, 156.6.0.?, 3432.12.0.?	$[(41, 4)]$
42042.r2	42042r1	42042.r	42042r	$2$	$2$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ - 2^{2} \cdot 3 \cdot 7^{6} \cdot 11^{2} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3432$	$12$	$0$	$1.539976692$	$1$	$5$	$23040$	$0.495314$	$-30664297/18876$	$0.83618$	$2.78390$	$[1, 1, 0, -319, 3025]$	$y^2+xy=x^3+x^2-319x+3025$	2.3.0.a.1, 78.6.0.?, 88.6.0.?, 3432.12.0.?	$[(0, 55)]$
42042.s1	42042s1	42042.s	42042s	$2$	$2$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ 2^{2} \cdot 3^{7} \cdot 7^{9} \cdot 11^{4} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2184$	$12$	$0$	$4.603646982$	$1$	$3$	$501760$	$1.961637$	$14812625308879/1665033084$	$0.92201$	$4.49350$	$[1, 1, 0, -175494, -25473888]$	$y^2+xy=x^3+x^2-175494x-25473888$	2.3.0.a.1, 56.6.0.c.1, 312.6.0.?, 546.6.0.?, 2184.12.0.?	$[(616, 9724)]$
42042.s2	42042s2	42042.s	42042s	$2$	$2$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ - 2 \cdot 3^{14} \cdot 7^{9} \cdot 11^{2} \cdot 13^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2184$	$12$	$0$	$9.207293964$	$1$	$0$	$1003520$	$2.308212$	$37666121079761/195613866162$	$0.96090$	$4.77617$	$[1, 1, 0, 239536, -127322250]$	$y^2+xy=x^3+x^2+239536x-127322250$	2.3.0.a.1, 56.6.0.b.1, 312.6.0.?, 1092.6.0.?, 2184.12.0.?	$[(18403/6, 2398451/6)]$
42042.t1	42042x4	42042.t	42042x	$4$	$4$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ 2^{2} \cdot 3 \cdot 7^{7} \cdot 11^{3} \cdot 13^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$24024$	$48$	$0$	$1$	$1$	$0$	$1769472$	$2.652134$	$23447665694255643433657/3193234044$	$1.02987$	$5.93481$	$[1, 1, 0, -29218284, -60801900060]$	$y^2+xy=x^3+x^2-29218284x-60801900060$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 308.12.0.?, 728.12.0.?, $\ldots$	$[]$
42042.t2	42042x3	42042.t	42042x	$4$	$4$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ 2^{2} \cdot 3 \cdot 7^{7} \cdot 11^{12} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$24024$	$48$	$0$	$1$	$1$	$0$	$1769472$	$2.652134$	$8629164767308099897/3427163787379332$	$0.98079$	$5.19208$	$[1, 1, 0, -2093844, -654042948]$	$y^2+xy=x^3+x^2-2093844x-654042948$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 364.12.0.?, 546.6.0.?, $\ldots$	$[]$
42042.t3	42042x2	42042.t	42042x	$4$	$4$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ 2^{4} \cdot 3^{2} \cdot 7^{8} \cdot 11^{6} \cdot 13^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$12012$	$48$	$0$	$1$	$1$	$2$	$884736$	$2.305561$	$5726048926423698937/2112522716304$	$1.00250$	$5.15356$	$[1, 1, 0, -1826304, -950423760]$	$y^2+xy=x^3+x^2-1826304x-950423760$	2.6.0.a.1, 12.12.0-2.a.1.1, 308.12.0.?, 364.12.0.?, 572.12.0.?, $\ldots$	$[]$
42042.t4	42042x1	42042.t	42042x	$4$	$4$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ - 2^{8} \cdot 3^{4} \cdot 7^{10} \cdot 11^{3} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$24024$	$48$	$0$	$1$	$1$	$1$	$442368$	$1.958986$	$-873530903492857/861466814208$	$0.93479$	$4.42156$	$[1, 1, 0, -97584, -19335168]$	$y^2+xy=x^3+x^2-97584x-19335168$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 286.6.0.?, 308.12.0.?, $\ldots$	$[]$
42042.u1	42042b1	42042.u	42042b	$1$	$1$	$ 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ - 2 \cdot 3 \cdot 7^{8} \cdot 11 \cdot 13^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$264$	$2$	$0$	$1.980805050$	$1$	$2$	$94080$	$1.026604$	$-22281070777/11154$	$0.85380$	$3.70032$	$[1, 1, 0, -10511, 410607]$	$y^2+xy=x^3+x^2-10511x+410607$	264.2.0.?	$[(63, 27)]$

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Elliptic curves over $\Q$
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