LMFDB - Elliptic curves over $\Q$ of conductor 309738

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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	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
309738.a1	309738a1	309738.a	309738a	$1$	$1$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ 2^{10} \cdot 3^{6} \cdot 11^{3} \cdot 13^{2} \cdot 19^{8} $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$44$	$2$	$0$	$0.629617374$	$1$		$20$	$27578880$	$2.811363$	$360958746325753/167916063744$	$0.93536$	$4.51421$	$[1, 1, 0, -3812889, 1267572069]$	$y^2+xy=x^3+x^2-3812889x+1267572069$	44.2.0.a.1	$[(-1294, 64183), (-933, 63822)]$
309738.b1	309738b2	309738.b	309738b	$2$	$3$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ 2^{12} \cdot 3^{2} \cdot 11^{3} \cdot 13^{12} \cdot 19^{2} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$2508$	$16$	$0$	$1$	$1$		$0$	$67184640$	$3.446564$	$1043861123787821767587211633/1143143471850290786304$	$1.06139$	$5.38630$	$[1, 1, 0, -150478829, 709760046621]$	$y^2+xy=x^3+x^2-150478829x+709760046621$	3.4.0.a.1, 44.2.0.a.1, 57.8.0-3.a.1.2, 132.8.0.?, 2508.16.0.?	$[]$
309738.b2	309738b1	309738.b	309738b	$2$	$3$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ 2^{36} \cdot 3^{6} \cdot 11 \cdot 13^{4} \cdot 19^{2} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$2508$	$16$	$0$	$1$	$1$		$0$	$22394880$	$2.897255$	$100356431344197651933553/15738867042981249024$	$1.00508$	$4.65472$	$[1, 1, 0, -6893549, -5950937571]$	$y^2+xy=x^3+x^2-6893549x-5950937571$	3.4.0.a.1, 44.2.0.a.1, 57.8.0-3.a.1.1, 132.8.0.?, 2508.16.0.?	$[]$
309738.c1	309738c1	309738.c	309738c	$1$	$1$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ - 2 \cdot 3^{5} \cdot 11 \cdot 13^{2} \cdot 19^{11} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$5016$	$2$	$0$	$1$	$1$		$0$	$15840000$	$2.522858$	$-112937736208753/2237091067926$	$0.93432$	$4.23826$	$[1, 1, 0, -363534, 500590386]$	$y^2+xy=x^3+x^2-363534x+500590386$	5016.2.0.?	$[]$
309738.d1	309738d2	309738.d	309738d	$2$	$3$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ - 2 \cdot 3^{2} \cdot 11^{3} \cdot 13^{3} \cdot 19^{6} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$65208$	$16$	$0$	$1$	$1$		$0$	$5132160$	$1.840706$	$-25979045828113/52635726$	$0.95062$	$3.84059$	$[1, 1, 0, -222744, 40441014]$	$y^2+xy=x^3+x^2-222744x+40441014$	3.4.0.a.1, 57.8.0-3.a.1.2, 1144.2.0.?, 3432.8.0.?, 65208.16.0.?	$[]$
309738.d2	309738d1	309738.d	309738d	$2$	$3$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ - 2^{3} \cdot 3^{6} \cdot 11 \cdot 13 \cdot 19^{6} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$65208$	$16$	$0$	$1$	$1$		$0$	$1710720$	$1.291399$	$241804367/833976$	$0.89201$	$3.05071$	$[1, 1, 0, 4686, 276876]$	$y^2+xy=x^3+x^2+4686x+276876$	3.4.0.a.1, 57.8.0-3.a.1.1, 1144.2.0.?, 3432.8.0.?, 65208.16.0.?	$[]$
309738.e1	309738e1	309738.e	309738e	$1$	$1$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ - 2^{4} \cdot 3^{9} \cdot 11 \cdot 13^{4} \cdot 19^{10} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$132$	$2$	$0$	$6.006974459$	$1$		$2$	$57127680$	$3.242428$	$-11069811217/98941244688$	$1.02956$	$4.92087$	$[1, 1, 0, -849801, 37473544341]$	$y^2+xy=x^3+x^2-849801x+37473544341$	132.2.0.?	$[(1750, 202471)]$
309738.f1	309738f1	309738.f	309738f	$2$	$2$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ 2^{10} \cdot 3^{2} \cdot 11 \cdot 13^{4} \cdot 19^{9} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.4	2B	$1672$	$12$	$0$	$1$	$1$		$1$	$17971200$	$2.761642$	$208014519619149697/19859548161024$	$0.93084$	$4.55120$	$[1, 1, 0, -4456191, -3310450875]$	$y^2+xy=x^3+x^2-4456191x-3310450875$	2.3.0.a.1, 8.6.0.d.1, 418.6.0.?, 1672.12.0.?	$[]$
309738.f2	309738f2	309738.f	309738f	$2$	$2$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ - 2^{5} \cdot 3^{4} \cdot 11^{2} \cdot 13^{2} \cdot 19^{12} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.5	2B	$1672$	$12$	$0$	$1$	$4$	$2$	$0$	$35942400$	$3.108215$	$351009842940054143/2493610843714848$	$0.96255$	$4.78420$	$[1, 1, 0, 5305249, -15791428059]$	$y^2+xy=x^3+x^2+5305249x-15791428059$	2.3.0.a.1, 8.6.0.a.1, 836.6.0.?, 1672.12.0.?	$[]$
309738.g1	309738g1	309738.g	309738g	$2$	$7$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ - 2^{7} \cdot 3^{14} \cdot 11^{7} \cdot 13^{3} \cdot 19^{6} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$7$	7.24.0.1	7B.6.1	$152152$	$96$	$2$	$1$	$1$		$0$	$231154560$	$4.108040$	$-21293376668673906679951249/26211168887701209984$	$1.05359$	$6.01015$	$[1, 1, 0, -2084558768, -36672542088576]$	$y^2+xy=x^3+x^2-2084558768x-36672542088576$	7.24.0.a.1, 133.48.0.?, 1144.2.0.?, 8008.48.2.?, 152152.96.2.?	$[]$
309738.g2	309738g2	309738.g	309738g	$2$	$7$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ - 2 \cdot 3^{2} \cdot 11 \cdot 13^{21} \cdot 19^{6} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$7$	7.24.0.2	7B.6.3	$152152$	$96$	$2$	$1$	$1$		$0$	$1618081920$	$5.080994$	$483641001192506212470106511/48918776756543177755473774$	$1.10028$	$6.66492$	$[1, 1, 0, 5903465122, 2301501327836394]$	$y^2+xy=x^3+x^2+5903465122x+2301501327836394$	7.24.0.a.2, 133.48.0.?, 1144.2.0.?, 8008.48.2.?, 152152.96.2.?	$[]$
309738.h1	309738h4	309738.h	309738h	$4$	$6$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ 2 \cdot 3^{2} \cdot 11^{6} \cdot 13^{6} \cdot 19^{9} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$65208$	$96$	$1$	$1$	$1$		$0$	$119439360$	$3.693157$	$23595612049070724624625/1055721904997855238$	$0.97960$	$5.47175$	$[1, 1, 0, -215713030, -1171447445786]$	$y^2+xy=x^3+x^2-215713030x-1171447445786$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.4, 57.8.0-3.a.1.2, $\ldots$	$[]$
309738.h2	309738h2	309738.h	309738h	$4$	$6$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ 2^{3} \cdot 3^{6} \cdot 11^{2} \cdot 13^{2} \cdot 19^{7} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$65208$	$96$	$1$	$1$	$1$		$0$	$39813120$	$3.143848$	$22825835166549123852625/2265912792$	$0.97873$	$5.46913$	$[1, 1, 0, -213341260, -1199478823592]$	$y^2+xy=x^3+x^2-213341260x-1199478823592$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.12, 57.8.0-3.a.1.1, $\ldots$	$[]$
309738.h3	309738h1	309738.h	309738h	$4$	$6$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ - 2^{6} \cdot 3^{12} \cdot 11 \cdot 13 \cdot 19^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$65208$	$96$	$1$	$1$	$1$		$1$	$19906560$	$2.797276$	$-5571449586655836625/1755813039552$	$0.94516$	$4.81128$	$[1, 1, 0, -13332820, -18748998896]$	$y^2+xy=x^3+x^2-13332820x-18748998896$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.7, 57.8.0-3.a.1.1, $\ldots$	$[]$
309738.h4	309738h3	309738.h	309738h	$4$	$6$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ - 2^{2} \cdot 3^{4} \cdot 11^{3} \cdot 13^{3} \cdot 19^{12} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$65208$	$96$	$1$	$1$	$1$		$1$	$59719680$	$3.346581$	$854170612877243375/44573293831402908$	$0.98789$	$5.01809$	$[1, 1, 0, 7135880, -69281306708]$	$y^2+xy=x^3+x^2+7135880x-69281306708$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.15, 57.8.0-3.a.1.2, $\ldots$	$[]$
309738.i1	309738i1	309738.i	309738i	$2$	$3$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ - 2^{15} \cdot 3^{3} \cdot 11 \cdot 13 \cdot 19^{7} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$65208$	$16$	$0$	$1$	$1$		$0$	$3110400$	$1.964958$	$-1791399948625/2403827712$	$0.86995$	$3.72368$	$[1, 1, 0, -91340, -19394736]$	$y^2+xy=x^3+x^2-91340x-19394736$	3.4.0.a.1, 57.8.0-3.a.1.1, 3432.8.0.?, 65208.16.0.?	$[]$
309738.i2	309738i2	309738.i	309738i	$2$	$3$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ - 2^{5} \cdot 3 \cdot 11^{3} \cdot 13^{3} \cdot 19^{9} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$65208$	$16$	$0$	$1$	$1$		$0$	$9331200$	$2.514263$	$1094478419891375/1925485038048$	$0.91848$	$4.19257$	$[1, 1, 0, 775060, 375441072]$	$y^2+xy=x^3+x^2+775060x+375441072$	3.4.0.a.1, 57.8.0-3.a.1.2, 3432.8.0.?, 65208.16.0.?	$[]$
309738.j1	309738j2	309738.j	309738j	$2$	$3$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ - 2 \cdot 3 \cdot 11^{3} \cdot 13^{3} \cdot 19^{2} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$65208$	$16$	$0$	$1$	$1$		$0$	$209952$	$0.589271$	$-43204686625/17545242$	$0.85131$	$2.44472$	$[1, 1, 0, -520, 5746]$	$y^2+xy=x^3+x^2-520x+5746$	3.4.0.a.1, 57.8.0-3.a.1.2, 3432.8.0.?, 65208.16.0.?	$[]$
309738.j2	309738j1	309738.j	309738j	$2$	$3$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ - 2^{3} \cdot 3^{3} \cdot 11 \cdot 13 \cdot 19^{2} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$65208$	$16$	$0$	$1$	$1$		$0$	$69984$	$0.039964$	$37109375/30888$	$0.90730$	$1.84429$	$[1, 1, 0, 50, -68]$	$y^2+xy=x^3+x^2+50x-68$	3.4.0.a.1, 57.8.0-3.a.1.1, 3432.8.0.?, 65208.16.0.?	$[]$
309738.k1	309738k1	309738.k	309738k	$1$	$1$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ - 2^{9} \cdot 3 \cdot 11 \cdot 13^{6} \cdot 19^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$5016$	$2$	$0$	$0.831144259$	$1$		$2$	$20217600$	$2.711716$	$-1028591238942753121/1549521532416$	$0.93707$	$4.67782$	$[1, 1, 0, -7591837, 8058654973]$	$y^2+xy=x^3+x^2-7591837x+8058654973$	5016.2.0.?	$[(1499, 6290)]$
309738.l1	309738l1	309738.l	309738l	$1$	$1$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ - 2^{9} \cdot 3^{8} \cdot 11^{3} \cdot 13 \cdot 19^{8} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1144$	$2$	$0$	$2.326616764$	$1$		$4$	$17418240$	$2.712292$	$8459611163574479/20983049657856$	$1.01891$	$4.39202$	$[1, 1, 0, 1532438, -1322978732]$	$y^2+xy=x^3+x^2+1532438x-1322978732$	1144.2.0.?	$[(739, 14251)]$
309738.m1	309738m1	309738.m	309738m	$1$	$1$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ 2^{6} \cdot 3^{2} \cdot 11^{5} \cdot 13^{6} \cdot 19^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$44$	$2$	$0$	$1.027606735$	$1$		$4$	$6013440$	$2.201401$	$291302503163522733601/447760751765184$	$0.98202$	$4.19266$	$[1, 1, 0, -983352, -375239808]$	$y^2+xy=x^3+x^2-983352x-375239808$	44.2.0.a.1	$[(-568, 960)]$
309738.n1	309738n1	309738.n	309738n	$1$	$1$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ - 2^{16} \cdot 3^{9} \cdot 11^{4} \cdot 13 \cdot 19^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$2964$	$2$	$0$	$20.08883723$	$1$		$0$	$116121600$	$3.669899$	$-817203191924493671120641/4664863250251776$	$0.99060$	$5.75212$	$[1, 1, 0, -703141367, -7176818427627]$	$y^2+xy=x^3+x^2-703141367x-7176818427627$	2964.2.0.?	$[(263978499166/2177, 115740912979483345/2177)]$
309738.o1	309738o1	309738.o	309738o	$1$	$1$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ - 2^{4} \cdot 3^{9} \cdot 11^{2} \cdot 13 \cdot 19^{9} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$2964$	$2$	$0$	$1$	$1$		$0$	$18823680$	$2.565361$	$724392740141/495381744$	$0.91186$	$4.25583$	$[1, 1, 0, 1283348, -237999008]$	$y^2+xy=x^3+x^2+1283348x-237999008$	2964.2.0.?	$[]$
309738.p1	309738p2	309738.p	309738p	$2$	$2$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ 2^{7} \cdot 3^{2} \cdot 11 \cdot 13^{6} \cdot 19^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3432$	$12$	$0$	$1$	$1$		$0$	$13208832$	$2.446308$	$44308125149913793/61165323648$	$1.06882$	$4.42889$	$[1, 1, 0, -2661299, 1667944173]$	$y^2+xy=x^3+x^2-2661299x+1667944173$	2.3.0.a.1, 88.6.0.?, 156.6.0.?, 3432.12.0.?	$[]$
309738.p2	309738p1	309738.p	309738p	$2$	$2$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ - 2^{14} \cdot 3 \cdot 11^{2} \cdot 13^{3} \cdot 19^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3432$	$12$	$0$	$1$	$1$		$1$	$6604416$	$2.099735$	$-4047806261953/13066420224$	$1.06397$	$3.84226$	$[1, 1, 0, -119859, 40914285]$	$y^2+xy=x^3+x^2-119859x+40914285$	2.3.0.a.1, 78.6.0.?, 88.6.0.?, 3432.12.0.?	$[]$
309738.q1	309738q2	309738.q	309738q	$2$	$2$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ 2^{2} \cdot 3 \cdot 11^{2} \cdot 13^{2} \cdot 19^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1716$	$12$	$0$	$1$	$1$		$0$	$2211840$	$1.325848$	$25128011089/245388$	$0.95435$	$3.29133$	$[1, 1, 0, -22028, 1238580]$	$y^2+xy=x^3+x^2-22028x+1238580$	2.3.0.a.1, 12.6.0.a.1, 572.6.0.?, 1716.12.0.?	$[]$
309738.q2	309738q1	309738.q	309738q	$2$	$2$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ - 2^{4} \cdot 3^{2} \cdot 11 \cdot 13 \cdot 19^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1716$	$12$	$0$	$1$	$1$		$1$	$1105920$	$0.979274$	$-117649/20592$	$1.10162$	$2.77276$	$[1, 1, 0, -368, 47280]$	$y^2+xy=x^3+x^2-368x+47280$	2.3.0.a.1, 12.6.0.b.1, 286.6.0.?, 1716.12.0.?	$[]$
309738.r1	309738r1	309738.r	309738r	$1$	$1$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ - 2^{3} \cdot 3^{5} \cdot 11 \cdot 13 \cdot 19^{9} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$65208$	$2$	$0$	$2.022810885$	$1$		$2$	$6220800$	$2.018509$	$-43915988093041/1906747128$	$0.87672$	$3.88756$	$[1, 0, 1, -265343, 54524522]$	$y^2+xy+y=x^3-265343x+54524522$	65208.2.0.?	$[(372, 2521)]$
309738.s1	309738s1	309738.s	309738s	$1$	$1$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ - 2^{11} \cdot 3^{6} \cdot 11 \cdot 13^{5} \cdot 19^{6} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1144$	$2$	$0$	$3.637645735$	$1$		$2$	$17297280$	$2.604660$	$-20699471212993/6097712265216$	$1.04158$	$4.31544$	$[1, 0, 1, -206500, -815713630]$	$y^2+xy+y=x^3-206500x-815713630$	1144.2.0.?	$[(1132, 19469)]$
309738.t1	309738t1	309738.t	309738t	$1$	$1$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ - 2^{7} \cdot 3 \cdot 11^{5} \cdot 13 \cdot 19^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$65208$	$2$	$0$	$1.799418167$	$1$		$2$	$8064000$	$2.150665$	$-81706955619457/15275365248$	$0.88449$	$3.95308$	$[1, 0, 1, -326352, -82567394]$	$y^2+xy+y=x^3-326352x-82567394$	65208.2.0.?	$[(1702, 64670)]$
309738.u1	309738u4	309738.u	309738u	$4$	$4$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ 2 \cdot 3^{3} \cdot 11 \cdot 13 \cdot 19^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$65208$	$48$	$0$	$1$	$16$	$2$	$0$	$8294400$	$2.406487$	$7725203825376001537/7722$	$1.05943$	$4.83709$	$[1, 0, 1, -14867432, -22066142524]$	$y^2+xy+y=x^3-14867432x-22066142524$	2.3.0.a.1, 4.6.0.c.1, 88.12.0.?, 152.12.0.?, 312.12.0.?, $\ldots$	$[]$
309738.u2	309738u3	309738.u	309738u	$4$	$4$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ 2 \cdot 3^{12} \cdot 11 \cdot 13^{4} \cdot 19^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$65208$	$48$	$0$	$1$	$1$		$0$	$8294400$	$2.406487$	$2138362647385537/333926700822$	$0.98017$	$4.18915$	$[1, 0, 1, -968932, -313766956]$	$y^2+xy+y=x^3-968932x-313766956$	2.3.0.a.1, 4.6.0.c.1, 76.12.0.?, 88.12.0.?, 312.12.0.?, $\ldots$	$[]$
309738.u3	309738u2	309738.u	309738u	$4$	$4$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ 2^{2} \cdot 3^{6} \cdot 11^{2} \cdot 13^{2} \cdot 19^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$65208$	$48$	$0$	$1$	$1$		$2$	$4147200$	$2.059910$	$1886079023633377/59629284$	$1.02081$	$4.17922$	$[1, 0, 1, -929222, -344836060]$	$y^2+xy+y=x^3-929222x-344836060$	2.6.0.a.1, 76.12.0.?, 88.12.0.?, 156.12.0.?, 1672.24.0.?, $\ldots$	$[]$
309738.u4	309738u1	309738.u	309738u	$4$	$4$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ - 2^{4} \cdot 3^{3} \cdot 11^{4} \cdot 13 \cdot 19^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$65208$	$48$	$0$	$1$	$1$		$1$	$2073600$	$1.713339$	$-404075127457/82223856$	$0.98040$	$3.53485$	$[1, 0, 1, -55602, -5871500]$	$y^2+xy+y=x^3-55602x-5871500$	2.3.0.a.1, 4.6.0.c.1, 76.12.0.?, 78.6.0.?, 88.12.0.?, $\ldots$	$[]$
309738.v1	309738v1	309738.v	309738v	$1$	$1$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ - 2^{11} \cdot 3^{7} \cdot 11 \cdot 13^{7} \cdot 19^{7} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$65208$	$2$	$0$	$1$	$1$		$0$	$62092800$	$3.372200$	$12292596393515113103/58739262250825728$	$0.97352$	$5.03059$	$[1, 0, 1, 17357233, -74979518974]$	$y^2+xy+y=x^3+17357233x-74979518974$	65208.2.0.?	$[]$
309738.w1	309738w1	309738.w	309738w	$1$	$1$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ - 2^{3} \cdot 3^{17} \cdot 11^{2} \cdot 13^{3} \cdot 19^{8} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$312$	$2$	$0$	$1$	$1$		$0$	$70326144$	$3.416481$	$78369551442487223/274641868091448$	$0.97035$	$5.06793$	$[1, 0, 1, 22916633, -94941374974]$	$y^2+xy+y=x^3+22916633x-94941374974$	312.2.0.?	$[]$
309738.x1	309738x1	309738.x	309738x	$1$	$1$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ - 2 \cdot 3^{5} \cdot 11^{2} \cdot 13 \cdot 19^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$312$	$2$	$0$	$0.427955952$	$1$		$4$	$155520$	$0.365373$	$-9261424657/764478$	$0.82708$	$2.29141$	$[1, 0, 1, -312, 2236]$	$y^2+xy+y=x^3-312x+2236$	312.2.0.?	$[(8, 12)]$
309738.y1	309738y1	309738.y	309738y	$1$	$1$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ - 2^{9} \cdot 3^{2} \cdot 11 \cdot 13 \cdot 19^{6} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1144$	$2$	$0$	$6.768923942$	$1$		$2$	$1026432$	$1.343445$	$-10779215329/658944$	$1.04485$	$3.23233$	$[1, 0, 1, -16614, -868040]$	$y^2+xy+y=x^3-16614x-868040$	1144.2.0.?	$[(28568, 4814271)]$
309738.z1	309738z1	309738.z	309738z	$1$	$1$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ 2^{8} \cdot 3^{2} \cdot 11 \cdot 13^{4} \cdot 19^{4} $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$44$	$2$	$0$	$0.531807789$	$1$		$10$	$1069056$	$1.378313$	$1714787631001/723849984$	$1.04940$	$3.15958$	$[1, 0, 1, -12643, 283550]$	$y^2+xy+y=x^3-12643x+283550$	44.2.0.a.1	$[(106, 317), (-65, 944)]$
309738.ba1	309738ba1	309738.ba	309738ba	$1$	$1$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ 2^{2} \cdot 3^{2} \cdot 11 \cdot 13^{2} \cdot 19^{8} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$44$	$2$	$0$	$0.724930827$	$1$		$4$	$3064320$	$1.943962$	$993161775961/66924$	$0.87039$	$4.04791$	$[1, 0, 1, -534288, 150264610]$	$y^2+xy+y=x^3-534288x+150264610$	44.2.0.a.1	$[(391, 887)]$
309738.bb1	309738bb1	309738.bb	309738bb	$1$	$1$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ 2^{8} \cdot 3^{20} \cdot 11 \cdot 13^{2} \cdot 19^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$44$	$2$	$0$	$0.354975002$	$1$		$6$	$5713920$	$2.380138$	$4614353674880850565201/1659374643573504$	$0.99198$	$4.41115$	$[1, 0, 1, -2469628, 1493139770]$	$y^2+xy+y=x^3-2469628x+1493139770$	44.2.0.a.1	$[(940, 1109)]$
309738.bc1	309738bc3	309738.bc	309738bc	$4$	$4$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ 2^{3} \cdot 3 \cdot 11^{8} \cdot 13^{8} \cdot 19^{9} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.11	2B	$456$	$48$	$0$	$13.89835183$	$1$		$0$	$517570560$	$4.487473$	$97528659908416897447179073/28784609647068189015816$	$1.04501$	$6.13034$	$[1, 0, 1, -3461864380, -54879816855214]$	$y^2+xy+y=x^3-3461864380x-54879816855214$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0-4.c.1.1, 24.24.0-8.m.1.3, $\ldots$	$[(-1107869190/167, 20897897749526/167)]$
309738.bc2	309738bc2	309738.bc	309738bc	$4$	$4$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ 2^{6} \cdot 3^{2} \cdot 11^{4} \cdot 13^{4} \cdot 19^{12} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$456$	$48$	$0$	$27.79670367$	$1$		$2$	$258785280$	$4.140900$	$74509753615043829215308993/11331521809583317056$	$1.00387$	$6.10905$	$[1, 0, 1, -3164732500, -68516981619694]$	$y^2+xy+y=x^3-3164732500x-68516981619694$	2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.3, 76.12.0.?, $\ldots$	$[(-205170829232798/79659, 50212228155243459049/79659)]$
309738.bc3	309738bc1	309738.bc	309738bc	$4$	$4$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ 2^{12} \cdot 3 \cdot 11^{2} \cdot 13^{2} \cdot 19^{9} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.11	2B	$456$	$48$	$0$	$55.59340734$	$1$		$1$	$129392640$	$3.794323$	$74501594581804121757972673/1723511083008$	$1.00387$	$6.10904$	$[1, 0, 1, -3164616980, -68522234360302]$	$y^2+xy+y=x^3-3164616980x-68522234360302$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0-4.c.1.2, 24.24.0-8.m.1.1, $\ldots$	$[(1881531975967234062888286529/141491574385, 60896952859917956396730403304021909417247/141491574385)]$
309738.bc4	309738bc4	309738.bc	309738bc	$4$	$4$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ - 2^{3} \cdot 3^{4} \cdot 11^{2} \cdot 13^{2} \cdot 19^{18} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.16	2B	$456$	$48$	$0$	$55.59340734$	$1$		$0$	$517570560$	$4.487473$	$-55538942941072548423853633/29328529753429584235272$	$1.00850$	$6.13709$	$[1, 0, 1, -2869448940, -81817970523182]$	$y^2+xy+y=x^3-2869448940x-81817970523182$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0-8.d.1.3, 76.12.0.?, $\ldots$	$[(15190820510164267934797546/6669927729, 58361469665382428948593712937626864491/6669927729)]$
309738.bd1	309738bd3	309738.bd	309738bd	$4$	$4$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ 2^{3} \cdot 3^{3} \cdot 11 \cdot 13^{8} \cdot 19^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.11	2B	$5016$	$48$	$0$	$1$	$1$		$0$	$15925248$	$2.660080$	$258252149810350513/1938176193096$	$1.04004$	$4.56831$	$[1, 0, 1, -4789395, 4007663686]$	$y^2+xy+y=x^3-4789395x+4007663686$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 152.24.0.?, 264.24.0.?, $\ldots$	$[]$
309738.bd2	309738bd2	309738.bd	309738bd	$4$	$4$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ 2^{6} \cdot 3^{6} \cdot 11^{2} \cdot 13^{4} \cdot 19^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$5016$	$48$	$0$	$1$	$1$		$2$	$7962624$	$2.313503$	$295102348042033/161237583936$	$1.05880$	$4.03251$	$[1, 0, 1, -500715, -32272874]$	$y^2+xy+y=x^3-500715x-32272874$	2.6.0.a.1, 8.12.0.b.1, 76.12.0.?, 132.12.0.?, 152.24.0.?, $\ldots$	$[]$
309738.bd3	309738bd1	309738.bd	309738bd	$4$	$4$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ 2^{12} \cdot 3^{3} \cdot 11 \cdot 13^{2} \cdot 19^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.11	2B	$5016$	$48$	$0$	$1$	$4$	$2$	$1$	$3981312$	$1.966930$	$134351465835313/205590528$	$0.96068$	$3.97028$	$[1, 0, 1, -385195, -91927402]$	$y^2+xy+y=x^3-385195x-91927402$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 66.6.0.a.1, 76.12.0.?, $\ldots$	$[]$
309738.bd4	309738bd4	309738.bd	309738bd	$4$	$4$	$ 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ - 2^{3} \cdot 3^{12} \cdot 11^{4} \cdot 13^{2} \cdot 19^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.16	2B	$5016$	$48$	$0$	$1$	$1$		$0$	$15925248$	$2.660080$	$17154149157653327/10519679024712$	$1.02583$	$4.35384$	$[1, 0, 1, 1939645, -253857562]$	$y^2+xy+y=x^3+1939645x-253857562$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 76.12.0.?, 152.24.0.?, $\ldots$	$[]$

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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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