LMFDB - Elliptic curves over $\Q$ of conductor 388710

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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
388710.a1	388710a2	388710.a	388710a	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ 2^{3} \cdot 3^{16} \cdot 5^{6} \cdot 7^{2} \cdot 617 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$518280$	$12$	$0$	$4.749001760$	$1$		$0$	$5806080$	$2.050453$	$3217153543644665521/223153552125000$	$0.90247$	$3.82319$	$[1, -1, 0, -276795, -52515779]$	$y^2+xy=x^3-x^2-276795x-52515779$	2.3.0.a.1, 420.6.0.?, 4936.6.0.?, 518280.12.0.?	$[(9047/2, 825703/2)]$
388710.a2	388710a1	388710.a	388710a	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ 2^{6} \cdot 3^{11} \cdot 5^{3} \cdot 7 \cdot 617^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$518280$	$12$	$0$	$2.374500880$	$1$		$3$	$2903040$	$1.703880$	$24795166388554801/5180415912000$	$0.93968$	$3.44515$	$[1, -1, 0, -54675, 3947125]$	$y^2+xy=x^3-x^2-54675x+3947125$	2.3.0.a.1, 210.6.0.?, 4936.6.0.?, 518280.12.0.?	$[(-202, 2693)]$
388710.b1	388710b1	388710.b	388710b	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ - 2^{3} \cdot 3^{6} \cdot 5^{3} \cdot 7^{5} \cdot 617 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$172760$	$2$	$0$	$1$	$1$		$0$	$1004400$	$1.150116$	$-4750104241/10369919000$	$0.99262$	$2.88323$	$[1, -1, 0, -315, 132381]$	$y^2+xy=x^3-x^2-315x+132381$	172760.2.0.?	$[]$
388710.c1	388710c1	388710.c	388710c	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ 2^{9} \cdot 3^{13} \cdot 5^{5} \cdot 7 \cdot 617 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$518280$	$2$	$0$	$1$	$1$		$0$	$2580480$	$1.768192$	$26741896830925921/15113044800000$	$0.91330$	$3.45102$	$[1, -1, 0, -56070, -768204]$	$y^2+xy=x^3-x^2-56070x-768204$	518280.2.0.?	$[]$
388710.d1	388710d1	388710.d	388710d	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 7^{2} \cdot 617 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$34552$	$12$	$0$	$1.483015630$	$1$		$7$	$501760$	$0.949353$	$1660218096321/773964800$	$0.82788$	$2.69837$	$[1, -1, 0, -2220, -17200]$	$y^2+xy=x^3-x^2-2220x-17200$	2.3.0.a.1, 56.6.0.c.1, 1234.6.0.?, 34552.12.0.?	$[(55, 130)]$
388710.d2	388710d2	388710.d	388710d	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ - 2^{5} \cdot 3^{6} \cdot 5^{4} \cdot 7 \cdot 617^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$34552$	$12$	$0$	$2.966031260$	$1$		$4$	$1003520$	$1.295927$	$73660174154559/53296460000$	$0.89635$	$2.99304$	$[1, -1, 0, 7860, -136144]$	$y^2+xy=x^3-x^2+7860x-136144$	2.3.0.a.1, 56.6.0.b.1, 2468.6.0.?, 34552.12.0.?	$[(23, 226)]$
388710.e1	388710e1	388710.e	388710e	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ 2^{8} \cdot 3^{3} \cdot 5^{5} \cdot 7^{3} \cdot 617^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$259140$	$12$	$0$	$1$	$1$		$1$	$2472960$	$1.691557$	$763358983780861467/104461061600000$	$0.97606$	$3.45535$	$[1, -1, 0, -57120, 4605696]$	$y^2+xy=x^3-x^2-57120x+4605696$	2.3.0.a.1, 210.6.0.?, 7404.6.0.?, 86380.6.0.?, 259140.12.0.?	$[]$
388710.e2	388710e2	388710.e	388710e	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ - 2^{4} \cdot 3^{3} \cdot 5^{10} \cdot 7^{6} \cdot 617 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$259140$	$12$	$0$	$1$	$1$		$0$	$4945920$	$2.038132$	$3082539265135384293/11342098906250000$	$0.92955$	$3.69422$	$[1, -1, 0, 90960, 24418800]$	$y^2+xy=x^3-x^2+90960x+24418800$	2.3.0.a.1, 420.6.0.?, 3702.6.0.?, 86380.6.0.?, 259140.12.0.?	$[]$
388710.f1	388710f1	388710.f	388710f	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ - 2 \cdot 3^{6} \cdot 5 \cdot 7^{3} \cdot 617 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$172760$	$2$	$0$	$3.400927351$	$1$		$2$	$309600$	$0.582914$	$-216108018001/2116310$	$0.77889$	$2.54126$	$[1, -1, 0, -1125, 14931]$	$y^2+xy=x^3-x^2-1125x+14931$	172760.2.0.?	$[(1, 117)]$
388710.g1	388710g1	388710.g	388710g	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ - 2^{15} \cdot 3^{8} \cdot 5^{10} \cdot 7^{2} \cdot 617 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$4936$	$2$	$0$	$9.565122293$	$1$		$0$	$11366400$	$2.494118$	$-76657355128524744001/87071040000000000$	$0.92871$	$4.15394$	$[1, -1, 0, -796500, -470750000]$	$y^2+xy=x^3-x^2-796500x-470750000$	4936.2.0.?	$[(2382125/4, 3671763875/4)]$
388710.h1	388710h1	388710.h	388710h	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ - 2 \cdot 3^{6} \cdot 5 \cdot 7 \cdot 617 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$172760$	$2$	$0$	$1$	$1$		$0$	$126960$	$0.117636$	$-1/43190$	$0.87004$	$1.92064$	$[1, -1, 0, 0, 270]$	$y^2+xy=x^3-x^2+270$	172760.2.0.?	$[]$
388710.i1	388710i4	388710.i	388710i	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ 2 \cdot 3^{9} \cdot 5 \cdot 7 \cdot 617 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$518280$	$48$	$0$	$1$	$16$	$2$	$0$	$16711680$	$2.610386$	$26604849401752923430295041/1166130$	$0.96673$	$5.06075$	$[1, -1, 0, -55974240, -161173159290]$	$y^2+xy=x^3-x^2-55974240x-161173159290$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0-4.c.1.1, 120.24.0.?, $\ldots$	$[]$
388710.i2	388710i3	388710.i	388710i	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ 2 \cdot 3^{9} \cdot 5 \cdot 7^{4} \cdot 617^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$518280$	$48$	$0$	$1$	$1$		$0$	$16711680$	$2.610386$	$6563236153252154523841/93949955850182670$	$0.93684$	$4.41529$	$[1, -1, 0, -3510540, -2499296310]$	$y^2+xy=x^3-x^2-3510540x-2499296310$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.2, 120.24.0.?, $\ldots$	$[]$
388710.i3	388710i2	388710.i	388710i	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ 2^{2} \cdot 3^{12} \cdot 5^{2} \cdot 7^{2} \cdot 617^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$518280$	$48$	$0$	$1$	$1$		$2$	$8355840$	$2.263813$	$6495325540073497945441/1359859176900$	$0.93658$	$4.41449$	$[1, -1, 0, -3498390, -2517674400]$	$y^2+xy=x^3-x^2-3498390x-2517674400$	2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0-2.a.1.1, 120.24.0.?, 17276.12.0.?, $\ldots$	$[]$
388710.i4	388710i1	388710.i	388710i	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ - 2^{4} \cdot 3^{18} \cdot 5^{4} \cdot 7 \cdot 617 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$518280$	$48$	$0$	$1$	$1$		$1$	$4177920$	$1.917240$	$-1569311660164177441/22952936790000$	$0.89771$	$3.76935$	$[1, -1, 0, -217890, -39584700]$	$y^2+xy=x^3-x^2-217890x-39584700$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.4, 120.24.0.?, $\ldots$	$[]$
388710.j1	388710j1	388710.j	388710j	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ - 2 \cdot 3^{10} \cdot 5 \cdot 7 \cdot 617 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$172760$	$2$	$0$	$1.889118493$	$1$		$2$	$311296$	$0.484954$	$109902239/3498390$	$0.77143$	$2.26065$	$[1, -1, 0, 90, -2430]$	$y^2+xy=x^3-x^2+90x-2430$	172760.2.0.?	$[(51, 339)]$
388710.k1	388710k2	388710.k	388710k	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ 2^{11} \cdot 3^{8} \cdot 5^{6} \cdot 7^{2} \cdot 617 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$518280$	$12$	$0$	$1$	$1$		$0$	$37644288$	$2.845581$	$33851336306490426286100161/8707104000000$	$1.02015$	$5.07946$	$[1, -1, 0, -60654060, 181833604816]$	$y^2+xy=x^3-x^2-60654060x+181833604816$	2.3.0.a.1, 420.6.0.?, 4936.6.0.?, 518280.12.0.?	$[]$
388710.k2	388710k1	388710.k	388710k	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ 2^{22} \cdot 3^{7} \cdot 5^{3} \cdot 7 \cdot 617^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$518280$	$12$	$0$	$1$	$1$		$1$	$18822144$	$2.499008$	$8267504630275669544641/4191404163072000$	$0.99556$	$4.43323$	$[1, -1, 0, -3791340, 2841134800]$	$y^2+xy=x^3-x^2-3791340x+2841134800$	2.3.0.a.1, 210.6.0.?, 4936.6.0.?, 518280.12.0.?	$[]$
388710.l1	388710l1	388710.l	388710l	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ - 2 \cdot 3^{6} \cdot 5^{2} \cdot 7^{8} \cdot 617 $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$4936$	$2$	$0$	$0.608493954$	$1$		$12$	$1679360$	$1.407389$	$-241118029063521/177844110850$	$0.92329$	$3.14902$	$[1, -1, 0, -11670, 734750]$	$y^2+xy=x^3-x^2-11670x+734750$	4936.2.0.?	$[(-65, 1135), (817, 22744)]$
388710.m1	388710m2	388710.m	388710m	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ 2^{6} \cdot 3^{7} \cdot 5 \cdot 7^{2} \cdot 617^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$259140$	$12$	$0$	$1$	$1$		$0$	$1548288$	$1.424820$	$14074502858529121/17907610560$	$0.86964$	$3.40115$	$[1, -1, 0, -45270, -3691980]$	$y^2+xy=x^3-x^2-45270x-3691980$	2.3.0.a.1, 60.6.0.a.1, 17276.6.0.?, 259140.12.0.?	$[]$
388710.m2	388710m1	388710.m	388710m	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ - 2^{12} \cdot 3^{8} \cdot 5^{2} \cdot 7 \cdot 617 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$259140$	$12$	$0$	$1$	$1$		$1$	$774144$	$1.078245$	$-1345938541921/3980390400$	$0.89075$	$2.82270$	$[1, -1, 0, -2070, -89100]$	$y^2+xy=x^3-x^2-2070x-89100$	2.3.0.a.1, 60.6.0.b.1, 8638.6.0.?, 259140.12.0.?	$[]$
388710.n1	388710n1	388710.n	388710n	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ - 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 7^{2} \cdot 617 $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$2468$	$2$	$0$	$1.230396897$	$1$		$12$	$1528320$	$1.329340$	$-101874390302149921/12093200$	$0.88189$	$3.55494$	$[1, -1, 0, -87570, 9996196]$	$y^2+xy=x^3-x^2-87570x+9996196$	2468.2.0.?	$[(168, -14), (1540/3, -2282/3)]$
388710.o1	388710o1	388710.o	388710o	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ - 2^{3} \cdot 3^{20} \cdot 5^{5} \cdot 7^{7} \cdot 617 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$172760$	$2$	$0$	$1$	$1$		$0$	$47416320$	$3.027496$	$11137732963161500167919/60758776359150975000$	$0.96131$	$4.62199$	$[1, -1, 0, 4187295, 9572549301]$	$y^2+xy=x^3-x^2+4187295x+9572549301$	172760.2.0.?	$[]$
388710.p1	388710p1	388710.p	388710p	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ - 2^{3} \cdot 3^{8} \cdot 5^{2} \cdot 7^{2} \cdot 617 $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$4936$	$2$	$0$	$2.497452033$	$1$		$8$	$282624$	$0.716377$	$13806727199/54419400$	$0.78692$	$2.46297$	$[1, -1, 0, 450, -8964]$	$y^2+xy=x^3-x^2+450x-8964$	4936.2.0.?	$[(15, 24), (33, 186)]$
388710.q1	388710q1	388710.q	388710q	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ - 2^{35} \cdot 3^{14} \cdot 5^{3} \cdot 7 \cdot 617 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$172760$	$2$	$0$	$18.44543773$	$1$		$0$	$55480320$	$3.126770$	$-627007517337489772367521/121706312173092864000$	$0.95667$	$4.79202$	$[1, -1, 0, -16048170, -28591292300]$	$y^2+xy=x^3-x^2-16048170x-28591292300$	172760.2.0.?	$[(2576116541/284, 129294248042335/284)]$
388710.r1	388710r2	388710.r	388710r	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ 2 \cdot 3^{7} \cdot 5^{3} \cdot 7^{2} \cdot 617^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$518280$	$12$	$0$	$4.253173711$	$1$		$0$	$1142784$	$1.380924$	$6610905152742241/13990320750$	$0.86472$	$3.34244$	$[1, -1, 0, -35190, 2545006]$	$y^2+xy=x^3-x^2-35190x+2545006$	2.3.0.a.1, 120.6.0.?, 17276.6.0.?, 518280.12.0.?	$[(455/2, 67/2)]$
388710.r2	388710r1	388710.r	388710r	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ - 2^{2} \cdot 3^{8} \cdot 5^{6} \cdot 7 \cdot 617 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$518280$	$12$	$0$	$2.126586855$	$1$		$3$	$571392$	$1.034349$	$-453161802241/2429437500$	$0.82623$	$2.77841$	$[1, -1, 0, -1440, 67756]$	$y^2+xy=x^3-x^2-1440x+67756$	2.3.0.a.1, 120.6.0.?, 8638.6.0.?, 518280.12.0.?	$[(20, 206)]$
388710.s1	388710s2	388710.s	388710s	$2$	$3$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ - 2^{5} \cdot 3^{6} \cdot 5 \cdot 7^{3} \cdot 617^{3} $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	$3$	3.8.0.1	3B.1.1	$518280$	$16$	$0$	$1$	$1$		$2$	$2278800$	$1.744118$	$-41281826100481/12890495001440$	$0.91715$	$3.43696$	$[1, -1, 0, -6480, 4669920]$	$y^2+xy=x^3-x^2-6480x+4669920$	3.8.0-3.a.1.2, 172760.2.0.?, 518280.16.0.?	$[]$
388710.s2	388710s1	388710.s	388710s	$2$	$3$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ - 2^{15} \cdot 3^{6} \cdot 5^{3} \cdot 7 \cdot 617 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.8.0.2	3B.1.2	$518280$	$16$	$0$	$1$	$1$		$0$	$759600$	$1.194811$	$56578878719/17690624000$	$0.87346$	$2.92456$	$[1, -1, 0, 720, -172800]$	$y^2+xy=x^3-x^2+720x-172800$	3.8.0-3.a.1.1, 172760.2.0.?, 518280.16.0.?	$[]$
388710.t1	388710t2	388710.t	388710t	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ 2^{11} \cdot 3^{6} \cdot 5^{2} \cdot 7^{2} \cdot 617^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.6	2B	$34552$	$12$	$0$	$1$	$1$		$0$	$6623232$	$2.191570$	$2249574551450240063841/955072563200$	$0.99389$	$4.33210$	$[1, -1, 0, -2456790, 1482791156]$	$y^2+xy=x^3-x^2-2456790x+1482791156$	2.3.0.a.1, 8.6.0.b.1, 17276.6.0.?, 34552.12.0.?	$[]$
388710.t2	388710t1	388710.t	388710t	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ - 2^{22} \cdot 3^{6} \cdot 5^{4} \cdot 7 \cdot 617 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.1	2B	$34552$	$12$	$0$	$1$	$1$		$1$	$3311616$	$1.844997$	$-541106281296959841/11321999360000$	$0.95786$	$3.68744$	$[1, -1, 0, -152790, 23437556]$	$y^2+xy=x^3-x^2-152790x+23437556$	2.3.0.a.1, 8.6.0.c.1, 8638.6.0.?, 34552.12.0.?	$[]$
388710.u1	388710u1	388710.u	388710u	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ - 2 \cdot 3^{6} \cdot 5 \cdot 7 \cdot 617 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$172760$	$2$	$0$	$1$	$1$		$0$	$108528$	$0.157079$	$-176558481/43190$	$0.68636$	$2.01493$	$[1, -1, 0, -105, -469]$	$y^2+xy=x^3-x^2-105x-469$	172760.2.0.?	$[]$
388710.v1	388710v2	388710.v	388710v	$2$	$7$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ - 2 \cdot 3^{6} \cdot 5 \cdot 7 \cdot 617^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$7$	7.24.0.2	7B.6.3	$518280$	$96$	$2$	$48.00424614$	$1$		$0$	$85514016$	$3.333324$	$-226953328047600468451761/2382836194386693393110$	$1.09181$	$4.91995$	$[1, -1, 0, -11437035, 65138641955]$	$y^2+xy=x^3-x^2-11437035x+65138641955$	7.24.0.a.2, 21.48.0-7.a.2.2, 172760.48.2.?, 518280.96.2.?	$[(648383442540843810173/157459087, 16350404500515507262216910113152/157459087)]$
388710.v2	388710v1	388710.v	388710v	$2$	$7$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ - 2^{7} \cdot 3^{6} \cdot 5^{7} \cdot 7^{7} \cdot 617 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$7$	7.24.0.1	7B.6.1	$518280$	$96$	$2$	$6.857749448$	$1$		$2$	$12216288$	$2.360367$	$-289581579184798874961/5081260310000000$	$0.93986$	$4.17514$	$[1, -1, 0, -1240485, -539476075]$	$y^2+xy=x^3-x^2-1240485x-539476075$	7.24.0.a.1, 21.48.0-7.a.1.2, 172760.48.2.?, 518280.96.2.?	$[(26087, 4196424)]$
388710.w1	388710w1	388710.w	388710w	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ - 2^{19} \cdot 3^{6} \cdot 5 \cdot 7 \cdot 617 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$172760$	$2$	$0$	$3.866978735$	$1$		$2$	$817152$	$1.167030$	$16307837343279/11321999360$	$0.88591$	$2.87589$	$[1, -1, 0, 4755, 55205]$	$y^2+xy=x^3-x^2+4755x+55205$	172760.2.0.?	$[(97, 1144)]$
388710.x1	388710x1	388710.x	388710x	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ - 2^{14} \cdot 3^{9} \cdot 5^{6} \cdot 7^{7} \cdot 617 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$51828$	$2$	$0$	$1.561029128$	$1$		$4$	$24385536$	$2.788849$	$11639871130150655757/130080263936000000$	$0.94781$	$4.40508$	$[1, -1, 0, 1274790, -2370945484]$	$y^2+xy=x^3-x^2+1274790x-2370945484$	51828.2.0.?	$[(7012, 589198)]$
388710.y1	388710y1	388710.y	388710y	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ 2^{7} \cdot 3^{3} \cdot 5 \cdot 7 \cdot 617 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$518280$	$2$	$0$	$1$	$1$		$0$	$537600$	$0.941245$	$27195680834033067/2764160$	$0.90050$	$3.19625$	$[1, -1, 0, -18795, 996485]$	$y^2+xy=x^3-x^2-18795x+996485$	518280.2.0.?	$[]$
388710.z1	388710z1	388710.z	388710z	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ - 2^{7} \cdot 3^{8} \cdot 5^{3} \cdot 7^{3} \cdot 617 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$172760$	$2$	$0$	$1$	$1$		$0$	$1483776$	$1.244207$	$-4347507044161/30474864000$	$0.84896$	$2.97313$	$[1, -1, 0, -3060, -235184]$	$y^2+xy=x^3-x^2-3060x-235184$	172760.2.0.?	$[]$
388710.ba1	388710ba1	388710.ba	388710ba	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ - 2^{7} \cdot 3^{6} \cdot 5 \cdot 7 \cdot 617 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$172760$	$2$	$0$	$5.758391277$	$1$		$0$	$204960$	$0.470093$	$1524845951/2764160$	$0.74860$	$2.21389$	$[1, -1, 0, 216, 1728]$	$y^2+xy=x^3-x^2+216x+1728$	172760.2.0.?	$[(-11/4, 2565/4)]$
388710.bb1	388710bb3	388710.bb	388710bb	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ 2^{2} \cdot 3^{7} \cdot 5 \cdot 7^{12} \cdot 617 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$518280$	$48$	$0$	$8.395511785$	$1$		$0$	$8060928$	$2.317307$	$883290521041659058609/512404452181020$	$0.92816$	$4.25947$	$[1, -1, 0, -1799019, 928740505]$	$y^2+xy=x^3-x^2-1799019x+928740505$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 168.12.0.?, 840.24.0.?, $\ldots$	$[(38921/7, 91526/7)]$
388710.bb2	388710bb4	388710.bb	388710bb	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ 2^{2} \cdot 3^{7} \cdot 5 \cdot 7^{3} \cdot 617^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$518280$	$48$	$0$	$8.395511785$	$1$		$2$	$8060928$	$2.317307$	$180282553911935093809/2982538280958180$	$0.98213$	$4.13600$	$[1, -1, 0, -1059219, -413285855]$	$y^2+xy=x^3-x^2-1059219x-413285855$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 84.12.0.?, 210.6.0.?, $\ldots$	$[(12689, 1418117)]$
388710.bb3	388710bb2	388710.bb	388710bb	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ 2^{4} \cdot 3^{8} \cdot 5^{2} \cdot 7^{6} \cdot 617^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$259140$	$48$	$0$	$4.197755892$	$1$		$6$	$4030464$	$1.970732$	$357864120746900209/161235648579600$	$0.95926$	$3.65256$	$[1, -1, 0, -133119, 8830525]$	$y^2+xy=x^3-x^2-133119x+8830525$	2.6.0.a.1, 20.12.0-2.a.1.1, 84.12.0.?, 420.24.0.?, 7404.12.0.?, $\ldots$	$[(341, 1562)]$
388710.bb4	388710bb1	388710.bb	388710bb	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ - 2^{8} \cdot 3^{10} \cdot 5^{4} \cdot 7^{3} \cdot 617 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$518280$	$48$	$0$	$2.098877946$	$1$		$5$	$2015232$	$1.624157$	$3654470032011791/2742737760000$	$0.87978$	$3.29638$	$[1, -1, 0, 28881, 1022125]$	$y^2+xy=x^3-x^2+28881x+1022125$	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 84.12.0.?, 840.24.0.?, $\ldots$	$[(101, 2177)]$
388710.bc1	388710bc1	388710.bc	388710bc	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ - 2^{18} \cdot 3^{3} \cdot 5^{2} \cdot 7^{3} \cdot 617 $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$51828$	$2$	$0$	$2.845284597$	$1$		$8$	$3760128$	$1.932844$	$-2537619985482289502283/1386944921600$	$0.96013$	$4.08539$	$[1, -1, 0, -852489, 303170573]$	$y^2+xy=x^3-x^2-852489x+303170573$	51828.2.0.?	$[(514, 511), (527, -11)]$
388710.bd1	388710bd3	388710.bd	388710bd	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ 2^{5} \cdot 3^{10} \cdot 5^{4} \cdot 7^{4} \cdot 617 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$518280$	$48$	$0$	$2.064347568$	$1$		$6$	$4259840$	$2.050049$	$129976288006635525169/2399895540000$	$0.91953$	$4.11058$	$[1, -1, 0, -949779, 356504085]$	$y^2+xy=x^3-x^2-949779x+356504085$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 280.12.0.?, 840.24.0.?, $\ldots$	$[(561, -258)]$
388710.bd2	388710bd2	388710.bd	388710bd	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ 2^{10} \cdot 3^{8} \cdot 5^{2} \cdot 7^{2} \cdot 617^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$518280$	$48$	$0$	$4.128695137$	$1$		$6$	$2129920$	$1.703476$	$34943012067863089/4297826534400$	$0.94168$	$3.47180$	$[1, -1, 0, -61299, 5199093]$	$y^2+xy=x^3-x^2-61299x+5199093$	2.6.0.a.1, 24.12.0-2.a.1.1, 140.12.0.?, 840.24.0.?, 4936.12.0.?, $\ldots$	$[(-273, 1374)]$
388710.bd3	388710bd1	388710.bd	388710bd	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ 2^{20} \cdot 3^{7} \cdot 5 \cdot 7 \cdot 617 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$518280$	$48$	$0$	$8.257390274$	$1$		$1$	$1064960$	$1.356901$	$534774372149809/67931996160$	$0.91745$	$3.14706$	$[1, -1, 0, -15219, -634635]$	$y^2+xy=x^3-x^2-15219x-634635$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 140.12.0.?, 840.24.0.?, $\ldots$	$[(121654/5, 42110457/5)]$
388710.bd4	388710bd4	388710.bd	388710bd	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ - 2^{5} \cdot 3^{7} \cdot 5 \cdot 7 \cdot 617^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$518280$	$48$	$0$	$8.257390274$	$4$	$2$	$0$	$4259840$	$2.050049$	$110226758023004111/486945025462560$	$0.90873$	$3.70808$	$[1, -1, 0, 89901, 26699733]$	$y^2+xy=x^3-x^2+89901x+26699733$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 140.12.0.?, 840.24.0.?, $\ldots$	$[(-4809/5, 199974/5)]$
388710.be1	388710be2	388710.be	388710be	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ 2 \cdot 3^{10} \cdot 5^{8} \cdot 7^{2} \cdot 617 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$34552$	$12$	$0$	$1.441700502$	$1$		$4$	$1867776$	$1.645407$	$21145699168383889/1913182031250$	$0.87394$	$3.43278$	$[1, -1, 0, -51849, -4160957]$	$y^2+xy=x^3-x^2-51849x-4160957$	2.3.0.a.1, 28.6.0.c.1, 4936.6.0.?, 34552.12.0.?	$[(-133, 674)]$
388710.be2	388710be1	388710.be	388710be	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 $	$ - 2^{2} \cdot 3^{8} \cdot 5^{4} \cdot 7 \cdot 617^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$34552$	$12$	$0$	$2.883401004$	$1$		$3$	$933888$	$1.298834$	$7565319416591/59958517500$	$0.97915$	$3.01365$	$[1, -1, 0, 3681, -307175]$	$y^2+xy=x^3-x^2+3681x-307175$	2.3.0.a.1, 14.6.0.b.1, 4936.6.0.?, 34552.12.0.?	$[(131, 1487)]$

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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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