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 (1-50 of 117 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
19.a1	19a2	19.a	19a	$3$	$9$	\( 19 \)	\( -19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	27.72.0.2	3B.1.2	$1$	$1$		$0$	$3$	$0.033439$	$-50357871050752/19$	$[0, 1, 1, -769, -8470]$	\(y^2+y=x^3+x^2-769x-8470\)
171.b1	171b3	171.b	171b	$3$	$9$	\( 3^{2} \cdot 19 \)	\( - 3^{6} \cdot 19 \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	27.72.0.1	3B.1.1	$2.033701819$	$1$		$4$	$72$	$0.582746$	$-50357871050752/19$	$[0, 0, 1, -6924, 221760]$	\(y^2+y=x^3-6924x+221760\)
304.f1	304e3	304.f	304e	$3$	$9$	\( 2^{4} \cdot 19 \)	\( - 2^{12} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$1$	$1$		$0$	$216$	$0.726586$	$-50357871050752/19$	$[0, -1, 0, -12309, 529757]$	\(y^2=x^3-x^2-12309x+529757\)
361.b1	361b3	361.b	361b	$3$	$9$	\( 19^{2} \)	\( - 19^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$1$	$1$		$0$	$1080$	$1.505659$	$-50357871050752/19$	$[0, -1, 1, -277729, 56427893]$	\(y^2+y=x^3-x^2-277729x+56427893\)
475.b1	475a3	475.b	475a	$3$	$9$	\( 5^{2} \cdot 19 \)	\( - 5^{6} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$1$	$9$	$3$	$0$	$324$	$0.838158$	$-50357871050752/19$	$[0, -1, 1, -19233, -1020257]$	\(y^2+y=x^3-x^2-19233x-1020257\)
931.a1	931b3	931.a	931b	$3$	$9$	\( 7^{2} \cdot 19 \)	\( - 7^{6} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$1$	$1$		$0$	$1134$	$1.006393$	$-50357871050752/19$	$[0, -1, 1, -37697, 2829742]$	\(y^2+y=x^3-x^2-37697x+2829742\)
1216.b1	1216q3	1216.b	1216q	$3$	$9$	\( 2^{6} \cdot 19 \)	\( - 2^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$0.595904332$	$1$		$2$	$432$	$0.380013$	$-50357871050752/19$	$[0, 1, 0, -3077, 64681]$	\(y^2=x^3+x^2-3077x+64681\)
1216.o1	1216d3	1216.o	1216d	$3$	$9$	\( 2^{6} \cdot 19 \)	\( - 2^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$9.167331319$	$1$		$0$	$432$	$0.380013$	$-50357871050752/19$	$[0, -1, 0, -3077, -64681]$	\(y^2=x^3-x^2-3077x-64681\)
2299.b1	2299d3	2299.b	2299d	$3$	$9$	\( 11^{2} \cdot 19 \)	\( - 11^{6} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$1$	$1$		$0$	$4050$	$1.232388$	$-50357871050752/19$	$[0, 1, 1, -93089, 10900929]$	\(y^2+y=x^3+x^2-93089x+10900929\)
2736.c1	2736q3	2736.c	2736q	$3$	$9$	\( 2^{4} \cdot 3^{2} \cdot 19 \)	\( - 2^{12} \cdot 3^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$11.02710220$	$1$		$0$	$5184$	$1.275892$	$-50357871050752/19$	$[0, 0, 0, -110784, -14192656]$	\(y^2=x^3-110784x-14192656\)
3211.a1	3211a3	3211.a	3211a	$3$	$9$	\( 13^{2} \cdot 19 \)	\( - 13^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$5.435237083$	$1$		$2$	$6480$	$1.315914$	$-50357871050752/19$	$[0, 1, 1, -130017, -18088053]$	\(y^2+y=x^3+x^2-130017x-18088053\)
3249.d1	3249c3	3249.d	3249c	$3$	$9$	\( 3^{2} \cdot 19^{2} \)	\( - 3^{6} \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$9.202414482$	$1$		$0$	$25920$	$2.054966$	$-50357871050752/19$	$[0, 0, 1, -2499564, -1521053555]$	\(y^2+y=x^3-2499564x-1521053555\)
4275.i1	4275k3	4275.i	4275k	$3$	$9$	\( 3^{2} \cdot 5^{2} \cdot 19 \)	\( - 3^{6} \cdot 5^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$1.452281787$	$1$		$0$	$7776$	$1.387465$	$-50357871050752/19$	$[0, 0, 1, -173100, 27720031]$	\(y^2+y=x^3-173100x+27720031\)
5491.b1	5491a3	5491.b	5491a	$3$	$9$	\( 17^{2} \cdot 19 \)	\( - 17^{6} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$1$	$9$	$3$	$0$	$15120$	$1.450047$	$-50357871050752/19$	$[0, -1, 1, -222337, -40278040]$	\(y^2+y=x^3-x^2-222337x-40278040\)
5776.c1	5776q3	5776.c	5776q	$3$	$9$	\( 2^{4} \cdot 19^{2} \)	\( - 2^{12} \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$16.54388095$	$1$		$0$	$77760$	$2.198807$	$-50357871050752/19$	$[0, 1, 0, -4443669, -3606941501]$	\(y^2=x^3+x^2-4443669x-3606941501\)
7600.c1	7600m3	7600.c	7600m	$3$	$9$	\( 2^{4} \cdot 5^{2} \cdot 19 \)	\( - 2^{12} \cdot 5^{6} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$1$	$1$		$0$	$23328$	$1.531305$	$-50357871050752/19$	$[0, 1, 0, -307733, 65604163]$	\(y^2=x^3+x^2-307733x+65604163\)
8379.j1	8379f3	8379.j	8379f	$3$	$9$	\( 3^{2} \cdot 7^{2} \cdot 19 \)	\( - 3^{6} \cdot 7^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$21.57657708$	$1$		$0$	$27216$	$1.555700$	$-50357871050752/19$	$[0, 0, 1, -339276, -76063766]$	\(y^2+y=x^3-339276x-76063766\)
9025.d1	9025c3	9025.d	9025c	$3$	$9$	\( 5^{2} \cdot 19^{2} \)	\( - 5^{6} \cdot 19^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$1$	$1$		$0$	$116640$	$2.310379$	$-50357871050752/19$	$[0, 1, 1, -6943233, 7039600194]$	\(y^2+y=x^3+x^2-6943233x+7039600194\)
10051.c1	10051b3	10051.c	10051b	$3$	$9$	\( 19 \cdot 23^{2} \)	\( - 19 \cdot 23^{6} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$0.944429848$	$1$		$8$	$38016$	$1.601187$	$-50357871050752/19$	$[0, 1, 1, -406977, 99796080]$	\(y^2+y=x^3+x^2-406977x+99796080\)
10944.ck1	10944t3	10944.ck	10944t	$3$	$9$	\( 2^{6} \cdot 3^{2} \cdot 19 \)	\( - 2^{6} \cdot 3^{6} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$1$	$1$		$0$	$10368$	$0.929318$	$-50357871050752/19$	$[0, 0, 0, -27696, 1774082]$	\(y^2=x^3-27696x+1774082\)
10944.cl1	10944cn3	10944.cl	10944cn	$3$	$9$	\( 2^{6} \cdot 3^{2} \cdot 19 \)	\( - 2^{6} \cdot 3^{6} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$1$	$9$	$3$	$0$	$10368$	$0.929318$	$-50357871050752/19$	$[0, 0, 0, -27696, -1774082]$	\(y^2=x^3-27696x-1774082\)
14896.a1	14896bg3	14896.a	14896bg	$3$	$9$	\( 2^{4} \cdot 7^{2} \cdot 19 \)	\( - 2^{12} \cdot 7^{6} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$1$	$9$	$3$	$0$	$81648$	$1.699541$	$-50357871050752/19$	$[0, 1, 0, -603157, -180500349]$	\(y^2=x^3+x^2-603157x-180500349\)
15979.e1	15979a3	15979.e	15979a	$3$	$9$	\( 19 \cdot 29^{2} \)	\( - 19 \cdot 29^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$37.78583381$	$1$		$0$	$72576$	$1.717087$	$-50357871050752/19$	$[0, -1, 1, -647009, -200099543]$	\(y^2+y=x^3-x^2-647009x-200099543\)
17689.f1	17689g3	17689.f	17689g	$3$	$9$	\( 7^{2} \cdot 19^{2} \)	\( - 7^{6} \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$10.04336916$	$1$		$0$	$408240$	$2.478615$	$-50357871050752/19$	$[0, 1, 1, -13608737, -19327549923]$	\(y^2+y=x^3+x^2-13608737x-19327549923\)
18259.a1	18259a3	18259.a	18259a	$3$	$9$	\( 19 \cdot 31^{2} \)	\( - 19 \cdot 31^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$4.747848387$	$1$		$0$	$90720$	$1.750433$	$-50357871050752/19$	$[0, -1, 1, -739329, 244930132]$	\(y^2+y=x^3-x^2-739329x+244930132\)
20691.i1	20691o3	20691.i	20691o	$3$	$9$	\( 3^{2} \cdot 11^{2} \cdot 19 \)	\( - 3^{6} \cdot 11^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$20.51251636$	$1$		$0$	$97200$	$1.781693$	$-50357871050752/19$	$[0, 0, 1, -837804, -295162893]$	\(y^2+y=x^3-837804x-295162893\)
23104.i1	23104u3	23104.i	23104u	$3$	$9$	\( 2^{6} \cdot 19^{2} \)	\( - 2^{6} \cdot 19^{7} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$1.622303643$	$1$		$6$	$155520$	$1.852232$	$-50357871050752/19$	$[0, 1, 0, -1110917, 450312229]$	\(y^2=x^3+x^2-1110917x+450312229\)
23104.bs1	23104bz3	23104.bs	23104bz	$3$	$9$	\( 2^{6} \cdot 19^{2} \)	\( - 2^{6} \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$41.68961490$	$1$		$0$	$155520$	$1.852232$	$-50357871050752/19$	$[0, -1, 0, -1110917, -450312229]$	\(y^2=x^3-x^2-1110917x-450312229\)
23275.l1	23275i3	23275.l	23275i	$3$	$9$	\( 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 5^{6} \cdot 7^{6} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$1$	$1$		$0$	$122472$	$1.811113$	$-50357871050752/19$	$[0, 1, 1, -942433, 351832919]$	\(y^2+y=x^3+x^2-942433x+351832919\)
26011.a1	26011a3	26011.a	26011a	$3$	$9$	\( 19 \cdot 37^{2} \)	\( - 19 \cdot 37^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$13.97522139$	$1$		$0$	$155520$	$1.838898$	$-50357871050752/19$	$[0, 1, 1, -1053217, -416381515]$	\(y^2+y=x^3+x^2-1053217x-416381515\)
28899.k1	28899c3	28899.k	28899c	$3$	$9$	\( 3^{2} \cdot 13^{2} \cdot 19 \)	\( - 3^{6} \cdot 13^{6} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$1$	$1$		$0$	$155520$	$1.865219$	$-50357871050752/19$	$[0, 0, 1, -1170156, 487207269]$	\(y^2+y=x^3-1170156x+487207269\)
30400.k1	30400g3	30400.k	30400g	$3$	$9$	\( 2^{6} \cdot 5^{2} \cdot 19 \)	\( - 2^{6} \cdot 5^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$21.32512539$	$1$		$0$	$46656$	$1.184732$	$-50357871050752/19$	$[0, 1, 0, -76933, -8238987]$	\(y^2=x^3+x^2-76933x-8238987\)
30400.br1	30400bv3	30400.br	30400bv	$3$	$9$	\( 2^{6} \cdot 5^{2} \cdot 19 \)	\( - 2^{6} \cdot 5^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$6.006027384$	$1$		$2$	$46656$	$1.184732$	$-50357871050752/19$	$[0, -1, 0, -76933, 8238987]$	\(y^2=x^3-x^2-76933x+8238987\)
31939.e1	31939b3	31939.e	31939b	$3$	$9$	\( 19 \cdot 41^{2} \)	\( - 19 \cdot 41^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$60.32974189$	$1$		$0$	$207360$	$1.890224$	$-50357871050752/19$	$[0, -1, 1, -1293249, -565640702]$	\(y^2+y=x^3-x^2-1293249x-565640702\)
35131.b1	35131c3	35131.b	35131c	$3$	$9$	\( 19 \cdot 43^{2} \)	\( - 19 \cdot 43^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$1$	$1$		$0$	$243810$	$1.914040$	$-50357871050752/19$	$[0, -1, 1, -1422497, 653492395]$	\(y^2+y=x^3-x^2-1422497x+653492395\)
36784.bk1	36784bj3	36784.bk	36784bj	$3$	$9$	\( 2^{4} \cdot 11^{2} \cdot 19 \)	\( - 2^{12} \cdot 11^{6} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$1$	$81$	$3$	$0$	$291600$	$1.925533$	$-50357871050752/19$	$[0, -1, 0, -1489429, -699148899]$	\(y^2=x^3-x^2-1489429x-699148899\)
41971.a1	41971a3	41971.a	41971a	$3$	$9$	\( 19 \cdot 47^{2} \)	\( - 19 \cdot 47^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$1$	$1$		$0$	$316710$	$1.958513$	$-50357871050752/19$	$[0, 1, 1, -1699457, 852167382]$	\(y^2+y=x^3+x^2-1699457x+852167382\)
43681.i1	43681j3	43681.i	43681j	$3$	$9$	\( 11^{2} \cdot 19^{2} \)	\( - 11^{6} \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$71.58659359$	$1$		$0$	$1458000$	$2.704605$	$-50357871050752/19$	$[0, -1, 1, -33605249, -74971104968]$	\(y^2+y=x^3-x^2-33605249x-74971104968\)
49419.j1	49419f3	49419.j	49419f	$3$	$9$	\( 3^{2} \cdot 17^{2} \cdot 19 \)	\( - 3^{6} \cdot 17^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$5.830318600$	$1$		$0$	$362880$	$1.999352$	$-50357871050752/19$	$[0, 0, 1, -2001036, 1089508108]$	\(y^2+y=x^3-2001036x+1089508108\)
51376.w1	51376x3	51376.w	51376x	$3$	$9$	\( 2^{4} \cdot 13^{2} \cdot 19 \)	\( - 2^{12} \cdot 13^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$5.796263560$	$1$		$0$	$466560$	$2.009060$	$-50357871050752/19$	$[0, -1, 0, -2080277, 1155555101]$	\(y^2=x^3-x^2-2080277x+1155555101\)
51984.i1	51984cw3	51984.i	51984cw	$3$	$9$	\( 2^{4} \cdot 3^{2} \cdot 19^{2} \)	\( - 2^{12} \cdot 3^{6} \cdot 19^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$1$	$1$		$0$	$1866240$	$2.748112$	$-50357871050752/19$	$[0, 0, 0, -39993024, 97347427504]$	\(y^2=x^3-39993024x+97347427504\)
53371.b1	53371a3	53371.b	53371a	$3$	$9$	\( 19 \cdot 53^{2} \)	\( - 19 \cdot 53^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$36.37381481$	$1$		$0$	$432432$	$2.018585$	$-50357871050752/19$	$[0, -1, 1, -2161057, -1222057453]$	\(y^2+y=x^3-x^2-2161057x-1222057453\)
57475.g1	57475h3	57475.g	57475h	$3$	$9$	\( 5^{2} \cdot 11^{2} \cdot 19 \)	\( - 5^{6} \cdot 11^{6} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$1$	$1$		$0$	$437400$	$2.037106$	$-50357871050752/19$	$[0, -1, 1, -2327233, 1367270618]$	\(y^2+y=x^3-x^2-2327233x+1367270618\)
59584.u1	59584bn3	59584.u	59584bn	$3$	$9$	\( 2^{6} \cdot 7^{2} \cdot 19 \)	\( - 2^{6} \cdot 7^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$4.192093972$	$1$		$0$	$163296$	$1.352968$	$-50357871050752/19$	$[0, 1, 0, -150789, 22487149]$	\(y^2=x^3+x^2-150789x+22487149\)
59584.db1	59584co3	59584.db	59584co	$3$	$9$	\( 2^{6} \cdot 7^{2} \cdot 19 \)	\( - 2^{6} \cdot 7^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$96.33960247$	$1$		$0$	$163296$	$1.352968$	$-50357871050752/19$	$[0, -1, 0, -150789, -22487149]$	\(y^2=x^3-x^2-150789x-22487149\)
61009.b1	61009b3	61009.b	61009b	$3$	$9$	\( 13^{2} \cdot 19^{2} \)	\( - 13^{6} \cdot 19^{7} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$4.695009198$	$1$		$2$	$2332800$	$2.788132$	$-50357871050752/19$	$[0, -1, 1, -46936257, 123784336522]$	\(y^2+y=x^3-x^2-46936257x+123784336522\)
66139.a1	66139a3	66139.a	66139a	$3$	$9$	\( 19 \cdot 59^{2} \)	\( - 19 \cdot 59^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$3.615231054$	$1$		$0$	$620136$	$2.072208$	$-50357871050752/19$	$[0, 1, 1, -2678049, 1685955405]$	\(y^2+y=x^3+x^2-2678049x+1685955405\)
68400.cs1	68400ec3	68400.cs	68400ec	$3$	$9$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( - 2^{12} \cdot 3^{6} \cdot 5^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$57.16892328$	$1$		$0$	$559872$	$2.080612$	$-50357871050752/19$	$[0, 0, 0, -2769600, -1774082000]$	\(y^2=x^3-2769600x-1774082000\)
70699.a1	70699a3	70699.a	70699a	$3$	$9$	\( 19 \cdot 61^{2} \)	\( - 19 \cdot 61^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$1$	$9$	$3$	$0$	$691740$	$2.088875$	$-50357871050752/19$	$[0, 1, 1, -2862689, -1865226945]$	\(y^2+y=x^3+x^2-2862689x-1865226945\)
80275.m1	80275a3	80275.m	80275a	$3$	$9$	\( 5^{2} \cdot 13^{2} \cdot 19 \)	\( - 5^{6} \cdot 13^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$59.88194386$	$1$		$0$	$699840$	$2.120632$	$-50357871050752/19$	$[0, -1, 1, -3250433, -2254505732]$	\(y^2+y=x^3-x^2-3250433x-2254505732\)