Elliptic curve search results

Conductor	j-invariant	Rank	Torsion	Complex multiplication
Bad$\ p$	Discriminant	Regulator	Analytic order of Ш	Galois image
Isogeny class size	Isogeny class degree	Cyclic isogeny degree	$p\ $div$\ $|Ш|	Nonmax$\ \ell$
Curves per isogeny class	Reduction	Integral points	Faltings height

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Results (40 matches)

 

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	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	Weierstrass coefficients	Weierstrass equation
570.i2	570i3	570.i	570i	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 19 \)	\( 2^{2} \cdot 3^{20} \cdot 5^{4} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.8	2B	$1$	$1$		$0$	$3840$	$1.487488$	$3345930611358906241/165622259047500$	$[1, 1, 1, -31160, 2011565]$	\(y^2+xy+y=x^3+x^2-31160x+2011565\)
1710.e2	1710g4	1710.e	1710g	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \)	\( 2^{2} \cdot 3^{26} \cdot 5^{4} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2.681818415$	$1$		$2$	$30720$	$2.036793$	$3345930611358906241/165622259047500$	$[1, -1, 0, -280440, -54592700]$	\(y^2+xy=x^3-x^2-280440x-54592700\)
2850.h2	2850l3	2850.h	2850l	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \)	\( 2^{2} \cdot 3^{20} \cdot 5^{10} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$0.268552591$	$1$		$14$	$92160$	$2.292206$	$3345930611358906241/165622259047500$	$[1, 0, 1, -779001, 253003648]$	\(y^2+xy+y=x^3-779001x+253003648\)
4560.x2	4560bc4	4560.x	4560bc	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 19 \)	\( 2^{14} \cdot 3^{20} \cdot 5^{4} \cdot 19 \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$1$	$1$		$3$	$92160$	$2.180637$	$3345930611358906241/165622259047500$	$[0, 1, 0, -498560, -129737292]$	\(y^2=x^3+x^2-498560x-129737292\)
8550.s2	8550bh4	8550.s	8550bh	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( 2^{2} \cdot 3^{26} \cdot 5^{10} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$1$	$4$	$2$	$0$	$737280$	$2.841515$	$3345930611358906241/165622259047500$	$[1, -1, 1, -7011005, -6831098503]$	\(y^2+xy+y=x^3-x^2-7011005x-6831098503\)
10830.p2	10830p4	10830.p	10830p	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \)	\( 2^{2} \cdot 3^{20} \cdot 5^{4} \cdot 19^{7} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$1$	$1$		$2$	$1382400$	$2.959709$	$3345930611358906241/165622259047500$	$[1, 0, 1, -11248768, -13887315694]$	\(y^2+xy+y=x^3-11248768x-13887315694\)
13680.e2	13680bd3	13680.e	13680bd	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 19 \)	\( 2^{14} \cdot 3^{26} \cdot 5^{4} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5.070261096$	$1$		$3$	$737280$	$2.729942$	$3345930611358906241/165622259047500$	$[0, 0, 0, -4487043, 3498419842]$	\(y^2=x^3-4487043x+3498419842\)
18240.a2	18240bz4	18240.a	18240bz	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 19 \)	\( 2^{20} \cdot 3^{20} \cdot 5^{4} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$6.507477044$	$1$		$1$	$737280$	$2.527210$	$3345930611358906241/165622259047500$	$[0, -1, 0, -1994241, -1035904095]$	\(y^2=x^3-x^2-1994241x-1035904095\)
18240.cg2	18240bd3	18240.cg	18240bd	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 19 \)	\( 2^{20} \cdot 3^{20} \cdot 5^{4} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$1$	$1$		$1$	$737280$	$2.527210$	$3345930611358906241/165622259047500$	$[0, 1, 0, -1994241, 1035904095]$	\(y^2=x^3+x^2-1994241x+1035904095\)
22800.br2	22800bv3	22800.br	22800bv	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \)	\( 2^{14} \cdot 3^{20} \cdot 5^{10} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1$	$9$	$3$	$1$	$2211840$	$2.985355$	$3345930611358906241/165622259047500$	$[0, -1, 0, -12464008, -16192233488]$	\(y^2=x^3-x^2-12464008x-16192233488\)
27930.db2	27930cw3	27930.db	27930cw	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \)	\( 2^{2} \cdot 3^{20} \cdot 5^{4} \cdot 7^{6} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1$	$1$		$0$	$1105920$	$2.460442$	$3345930611358906241/165622259047500$	$[1, 0, 0, -1526841, -694547379]$	\(y^2+xy=x^3-1526841x-694547379\)
32490.bk2	32490bo3	32490.bk	32490bo	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19^{2} \)	\( 2^{2} \cdot 3^{26} \cdot 5^{4} \cdot 19^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1$	$4$	$2$	$0$	$11059200$	$3.509014$	$3345930611358906241/165622259047500$	$[1, -1, 1, -101238908, 374957523731]$	\(y^2+xy+y=x^3-x^2-101238908x+374957523731\)
54150.bm2	54150ca3	54150.bm	54150ca	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( 2^{2} \cdot 3^{20} \cdot 5^{10} \cdot 19^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$8.921296581$	$1$		$0$	$33177600$	$3.764427$	$3345930611358906241/165622259047500$	$[1, 1, 1, -281219188, -1735914461719]$	\(y^2+xy+y=x^3+x^2-281219188x-1735914461719\)
54720.ct2	54720fc3	54720.ct	54720fc	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \)	\( 2^{20} \cdot 3^{26} \cdot 5^{4} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3.366178501$	$1$		$3$	$5898240$	$3.076515$	$3345930611358906241/165622259047500$	$[0, 0, 0, -17948172, 27987358736]$	\(y^2=x^3-17948172x+27987358736\)
54720.ex2	54720bx3	54720.ex	54720bx	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \)	\( 2^{20} \cdot 3^{26} \cdot 5^{4} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$14.17764690$	$1$		$1$	$5898240$	$3.076515$	$3345930611358906241/165622259047500$	$[0, 0, 0, -17948172, -27987358736]$	\(y^2=x^3-17948172x-27987358736\)
68400.gc2	68400eq3	68400.gc	68400eq	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( 2^{14} \cdot 3^{26} \cdot 5^{10} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$14.20957404$	$1$		$1$	$17694720$	$3.534660$	$3345930611358906241/165622259047500$	$[0, 0, 0, -112176075, 437302480250]$	\(y^2=x^3-112176075x+437302480250\)
68970.j2	68970o3	68970.j	68970o	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \)	\( 2^{2} \cdot 3^{20} \cdot 5^{4} \cdot 11^{6} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$4.206859888$	$1$		$4$	$5529600$	$2.686436$	$3345930611358906241/165622259047500$	$[1, 1, 0, -3770362, -2696245064]$	\(y^2+xy=x^3+x^2-3770362x-2696245064\)
83790.by2	83790bs3	83790.by	83790bs	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 19 \)	\( 2^{2} \cdot 3^{26} \cdot 5^{4} \cdot 7^{6} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1$	$1$		$0$	$8847360$	$3.009750$	$3345930611358906241/165622259047500$	$[1, -1, 0, -13741569, 18752779233]$	\(y^2+xy=x^3-x^2-13741569x+18752779233\)
86640.ba2	86640cs3	86640.ba	86640cs	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( 2^{14} \cdot 3^{20} \cdot 5^{4} \cdot 19^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$1$	$1$		$1$	$33177600$	$3.652855$	$3345930611358906241/165622259047500$	$[0, -1, 0, -179980280, 888788204400]$	\(y^2=x^3-x^2-179980280x+888788204400\)
91200.j2	91200m3	91200.j	91200m	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 19 \)	\( 2^{20} \cdot 3^{20} \cdot 5^{10} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$6.837775641$	$1$		$1$	$17694720$	$3.331928$	$3345930611358906241/165622259047500$	$[0, -1, 0, -49856033, 129587723937]$	\(y^2=x^3-x^2-49856033x+129587723937\)
91200.iz2	91200ik3	91200.iz	91200ik	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 19 \)	\( 2^{20} \cdot 3^{20} \cdot 5^{10} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1$	$1$		$1$	$17694720$	$3.331928$	$3345930611358906241/165622259047500$	$[0, 1, 0, -49856033, -129587723937]$	\(y^2=x^3+x^2-49856033x-129587723937\)
96330.a2	96330c3	96330.a	96330c	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 19 \)	\( 2^{2} \cdot 3^{20} \cdot 5^{4} \cdot 13^{6} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$4.479830107$	$1$		$0$	$7372800$	$2.769962$	$3345930611358906241/165622259047500$	$[1, 1, 0, -5266043, 4445738913]$	\(y^2+xy=x^3+x^2-5266043x+4445738913\)
139650.bd2	139650jb3	139650.bd	139650jb	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( 2^{2} \cdot 3^{20} \cdot 5^{10} \cdot 7^{6} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1$	$1$		$0$	$26542080$	$3.265163$	$3345930611358906241/165622259047500$	$[1, 1, 0, -38171025, -86818422375]$	\(y^2+xy=x^3+x^2-38171025x-86818422375\)
162450.a2	162450da4	162450.a	162450da	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \)	\( 2^{2} \cdot 3^{26} \cdot 5^{10} \cdot 19^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.14	2B	$3.799382673$	$1$		$2$	$265420800$	$4.313736$	$3345930611358906241/165622259047500$	$[1, -1, 0, -2530972692, 46867159493716]$	\(y^2+xy=x^3-x^2-2530972692x+46867159493716\)
164730.cy2	164730g4	164730.cy	164730g	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 17^{2} \cdot 19 \)	\( 2^{2} \cdot 3^{20} \cdot 5^{4} \cdot 17^{6} \cdot 19 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1.722057527$	$1$		$10$	$19660800$	$2.904095$	$3345930611358906241/165622259047500$	$[1, 0, 0, -9005246, 9945856440]$	\(y^2+xy=x^3-9005246x+9945856440\)
206910.cz2	206910bf4	206910.cz	206910bf	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 19 \)	\( 2^{2} \cdot 3^{26} \cdot 5^{4} \cdot 11^{6} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1$	$4$	$2$	$0$	$44236800$	$3.235741$	$3345930611358906241/165622259047500$	$[1, -1, 1, -33933263, 72764683467]$	\(y^2+xy+y=x^3-x^2-33933263x+72764683467\)
223440.bg2	223440ex4	223440.bg	223440ex	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \)	\( 2^{14} \cdot 3^{20} \cdot 5^{4} \cdot 7^{6} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1$	$4$	$2$	$1$	$26542080$	$3.153591$	$3345930611358906241/165622259047500$	$[0, -1, 0, -24429456, 44451032256]$	\(y^2=x^3-x^2-24429456x+44451032256\)
259920.f2	259920f3	259920.f	259920f	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 19^{2} \)	\( 2^{14} \cdot 3^{26} \cdot 5^{4} \cdot 19^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1$	$9$	$3$	$1$	$265420800$	$4.202164$	$3345930611358906241/165622259047500$	$[0, 0, 0, -1619822523, -23995661696278]$	\(y^2=x^3-1619822523x-23995661696278\)
273600.be2	273600be3	273600.be	273600be	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( 2^{20} \cdot 3^{26} \cdot 5^{10} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$1$	$1$		$1$	$141557760$	$3.881233$	$3345930611358906241/165622259047500$	$[0, 0, 0, -448704300, -3498419842000]$	\(y^2=x^3-448704300x-3498419842000\)
273600.ow2	273600ow4	273600.ow	273600ow	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( 2^{20} \cdot 3^{26} \cdot 5^{10} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$1$	$4$	$2$	$1$	$141557760$	$3.881233$	$3345930611358906241/165622259047500$	$[0, 0, 0, -448704300, 3498419842000]$	\(y^2=x^3-448704300x+3498419842000\)
288990.fh2	288990fh3	288990.fh	288990fh	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 19 \)	\( 2^{2} \cdot 3^{26} \cdot 5^{4} \cdot 13^{6} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1$	$1$		$0$	$58982400$	$3.319271$	$3345930611358906241/165622259047500$	$[1, -1, 1, -47394392, -120082345041]$	\(y^2+xy+y=x^3-x^2-47394392x-120082345041\)
301530.bq2	301530bq3	301530.bq	301530bq	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 19 \cdot 23^{2} \)	\( 2^{2} \cdot 3^{20} \cdot 5^{4} \cdot 19 \cdot 23^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$15.00073798$	$1$		$0$	$43253760$	$3.055237$	$3345930611358906241/165622259047500$	$[1, 1, 1, -16483651, -24639550027]$	\(y^2+xy+y=x^3+x^2-16483651x-24639550027\)
344850.hs2	344850hs3	344850.hs	344850hs	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 19 \)	\( 2^{2} \cdot 3^{20} \cdot 5^{10} \cdot 11^{6} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1$	$1$		$0$	$132710400$	$3.491154$	$3345930611358906241/165622259047500$	$[1, 0, 0, -94259063, -336842114883]$	\(y^2+xy=x^3-94259063x-336842114883\)
346560.ct2	346560ct3	346560.ct	346560ct	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( 2^{20} \cdot 3^{20} \cdot 5^{4} \cdot 19^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$1$	$25$	$5$	$1$	$265420800$	$3.999428$	$3345930611358906241/165622259047500$	$[0, -1, 0, -719921121, -7109585714079]$	\(y^2=x^3-x^2-719921121x-7109585714079\)
346560.fs2	346560fs4	346560.fs	346560fs	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( 2^{20} \cdot 3^{20} \cdot 5^{4} \cdot 19^{7} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$1.920243447$	$1$		$21$	$265420800$	$3.999428$	$3345930611358906241/165622259047500$	$[0, 1, 0, -719921121, 7109585714079]$	\(y^2=x^3+x^2-719921121x+7109585714079\)
418950.mc2	418950mc4	418950.mc	418950mc	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( 2^{2} \cdot 3^{26} \cdot 5^{10} \cdot 7^{6} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1$	$4$	$2$	$0$	$212336640$	$3.814468$	$3345930611358906241/165622259047500$	$[1, -1, 1, -343539230, 2343753864897]$	\(y^2+xy+y=x^3-x^2-343539230x+2343753864897\)
433200.kr2	433200kr4	433200.kr	433200kr	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( 2^{14} \cdot 3^{20} \cdot 5^{10} \cdot 19^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1$	$1$		$1$	$796262400$	$4.457573$	$3345930611358906241/165622259047500$	$[0, 1, 0, -4499507008, 111089526535988]$	\(y^2=x^3+x^2-4499507008x+111089526535988\)
479370.bm2	479370bm4	479370.bm	479370bm	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 19 \cdot 29^{2} \)	\( 2^{2} \cdot 3^{20} \cdot 5^{4} \cdot 19 \cdot 29^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1.186437620$	$1$		$6$	$96337920$	$3.171135$	$3345930611358906241/165622259047500$	$[1, 0, 1, -26205578, 49374530048]$	\(y^2+xy+y=x^3-26205578x+49374530048\)
481650.is2	481650is4	481650.is	481650is	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 19 \)	\( 2^{2} \cdot 3^{20} \cdot 5^{10} \cdot 13^{6} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3.892348254$	$1$		$2$	$176947200$	$3.574680$	$3345930611358906241/165622259047500$	$[1, 0, 0, -131651088, 555980666292]$	\(y^2+xy=x^3-131651088x+555980666292\)
494190.bo2	494190bo3	494190.bo	494190bo	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 17^{2} \cdot 19 \)	\( 2^{2} \cdot 3^{26} \cdot 5^{4} \cdot 17^{6} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1$	$1$		$0$	$157286400$	$3.453400$	$3345930611358906241/165622259047500$	$[1, -1, 0, -81047214, -268538123880]$	\(y^2+xy=x^3-x^2-81047214x-268538123880\)