Elliptic curve search results

Results (28 matches)

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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	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
7392.d1	7392a2	7392.d	7392a	$2$	$2$	\( 2^{5} \cdot 3 \cdot 7 \cdot 11 \)	\( 2^{9} \cdot 3^{12} \cdot 7^{6} \cdot 11^{5} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$25.30140918$	$1$		$1$	$161280$	$2.406391$	$943259332190261813000/10069472554261659$	$1.03532$	$6.12183$	$[0, -1, 0, -1634528, -796336632]$	\(y^2=x^3-x^2-1634528x-796336632\)	2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.?	$[(1781502169553/33907, 769002715481273028/33907)]$
7392.k1	7392n2	7392.k	7392n	$2$	$2$	\( 2^{5} \cdot 3 \cdot 7 \cdot 11 \)	\( 2^{9} \cdot 3^{12} \cdot 7^{6} \cdot 11^{5} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$0.117984194$	$1$		$15$	$161280$	$2.406391$	$943259332190261813000/10069472554261659$	$1.03532$	$6.12183$	$[0, 1, 0, -1634528, 796336632]$	\(y^2=x^3+x^2-1634528x+796336632\)	2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.?	$[(826, 3234)]$
14784.o1	14784n2	14784.o	14784n	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \)	\( 2^{15} \cdot 3^{12} \cdot 7^{6} \cdot 11^{5} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$1$	$1$		$1$	$645120$	$2.752968$	$943259332190261813000/10069472554261659$	$1.03532$	$6.11303$	$[0, -1, 0, -6538113, 6377231169]$	\(y^2=x^3-x^2-6538113x+6377231169\)	2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.?	$[ ]$
14784.bw1	14784y2	14784.bw	14784y	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \)	\( 2^{15} \cdot 3^{12} \cdot 7^{6} \cdot 11^{5} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$0.518739843$	$1$		$7$	$645120$	$2.752968$	$943259332190261813000/10069472554261659$	$1.03532$	$6.11303$	$[0, 1, 0, -6538113, -6377231169]$	\(y^2=x^3+x^2-6538113x-6377231169\)	2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.?	$[(-1521, 7128)]$
22176.l1	22176n2	22176.l	22176n	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 7 \cdot 11 \)	\( 2^{9} \cdot 3^{18} \cdot 7^{6} \cdot 11^{5} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$1$	$1$		$1$	$1290240$	$2.955700$	$943259332190261813000/10069472554261659$	$1.03532$	$6.10845$	$[0, 0, 0, -14710755, 21515799818]$	\(y^2=x^3-14710755x+21515799818\)	2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.?	$[ ]$
22176.n1	22176e2	22176.n	22176e	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 7 \cdot 11 \)	\( 2^{9} \cdot 3^{18} \cdot 7^{6} \cdot 11^{5} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$5.409571317$	$1$		$3$	$1290240$	$2.955700$	$943259332190261813000/10069472554261659$	$1.03532$	$6.10845$	$[0, 0, 0, -14710755, -21515799818]$	\(y^2=x^3-14710755x-21515799818\)	2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.?	$[(15749, 1911294)]$
44352.cs1	44352p2	44352.cs	44352p	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \)	\( 2^{15} \cdot 3^{18} \cdot 7^{6} \cdot 11^{5} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$1$	$1$		$1$	$5160960$	$3.302273$	$943259332190261813000/10069472554261659$	$1.03532$	$6.10143$	$[0, 0, 0, -58843020, 172126398544]$	\(y^2=x^3-58843020x+172126398544\)	2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.?	$[ ]$
44352.dd1	44352cj2	44352.dd	44352cj	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \)	\( 2^{15} \cdot 3^{18} \cdot 7^{6} \cdot 11^{5} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$1$	$1$		$1$	$5160960$	$3.302273$	$943259332190261813000/10069472554261659$	$1.03532$	$6.10143$	$[0, 0, 0, -58843020, -172126398544]$	\(y^2=x^3-58843020x-172126398544\)	2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.?	$[ ]$
51744.u1	51744ca2	51744.u	51744ca	$2$	$2$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( 2^{9} \cdot 3^{12} \cdot 7^{12} \cdot 11^{5} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$1$	$1$		$1$	$7741440$	$3.379349$	$943259332190261813000/10069472554261659$	$1.03532$	$6.09999$	$[0, -1, 0, -80091888, -273303648540]$	\(y^2=x^3-x^2-80091888x-273303648540\)	2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.?	$[ ]$
51744.cb1	51744bi2	51744.cb	51744bi	$2$	$2$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( 2^{9} \cdot 3^{12} \cdot 7^{12} \cdot 11^{5} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$6.596004313$	$1$		$1$	$7741440$	$3.379349$	$943259332190261813000/10069472554261659$	$1.03532$	$6.09999$	$[0, 1, 0, -80091888, 273303648540]$	\(y^2=x^3+x^2-80091888x+273303648540\)	2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.?	$[(813/2, 4055877/2)]$
81312.n1	81312be2	81312.n	81312be	$2$	$2$	\( 2^{5} \cdot 3 \cdot 7 \cdot 11^{2} \)	\( 2^{9} \cdot 3^{12} \cdot 7^{6} \cdot 11^{11} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$1$	$1$		$1$	$19353600$	$3.605339$	$943259332190261813000/10069472554261659$	$1.03532$	$6.09599$	$[0, -1, 0, -197777928, 1060715168856]$	\(y^2=x^3-x^2-197777928x+1060715168856\)	2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.?	$[ ]$
81312.bm1	81312r2	81312.bm	81312r	$2$	$2$	\( 2^{5} \cdot 3 \cdot 7 \cdot 11^{2} \)	\( 2^{9} \cdot 3^{12} \cdot 7^{6} \cdot 11^{11} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$8.401846240$	$1$		$3$	$19353600$	$3.605339$	$943259332190261813000/10069472554261659$	$1.03532$	$6.09599$	$[0, 1, 0, -197777928, -1060715168856]$	\(y^2=x^3+x^2-197777928x-1060715168856\)	2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.?	$[(16290, 201318)]$
103488.cm1	103488bn2	103488.cm	103488bn	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( 2^{15} \cdot 3^{12} \cdot 7^{12} \cdot 11^{5} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$2.250287486$	$1$		$5$	$30965760$	$3.725922$	$943259332190261813000/10069472554261659$	$1.03532$	$6.09399$	$[0, -1, 0, -320367553, 2186749555873]$	\(y^2=x^3-x^2-320367553x+2186749555873\)	2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.?	$[(12427, 352836)]$
103488.gl1	103488cs2	103488.gl	103488cs	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( 2^{15} \cdot 3^{12} \cdot 7^{12} \cdot 11^{5} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$4.097849509$	$1$		$5$	$30965760$	$3.725922$	$943259332190261813000/10069472554261659$	$1.03532$	$6.09399$	$[0, 1, 0, -320367553, -2186749555873]$	\(y^2=x^3+x^2-320367553x-2186749555873\)	2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.?	$[(-9997, 130248)]$
155232.cl1	155232ds2	155232.cl	155232ds	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{9} \cdot 3^{18} \cdot 7^{12} \cdot 11^{5} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$17.58609153$	$1$		$1$	$61931520$	$3.928654$	$943259332190261813000/10069472554261659$	$1.03532$	$6.09080$	$[0, 0, 0, -720826995, 7379919337574]$	\(y^2=x^3-720826995x+7379919337574\)	2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.?	$[(-1105631891/205, 24570710170398/205)]$
155232.cy1	155232bf2	155232.cy	155232bf	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{9} \cdot 3^{18} \cdot 7^{12} \cdot 11^{5} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$12.73736116$	$1$		$1$	$61931520$	$3.928654$	$943259332190261813000/10069472554261659$	$1.03532$	$6.09080$	$[0, 0, 0, -720826995, -7379919337574]$	\(y^2=x^3-720826995x-7379919337574\)	2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.?	$[(666640870/87, 16295157874072/87)]$
162624.cb1	162624hx2	162624.cb	162624hx	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \)	\( 2^{15} \cdot 3^{12} \cdot 7^{6} \cdot 11^{11} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$1$	$1$		$1$	$77414400$	$3.951916$	$943259332190261813000/10069472554261659$	$1.03532$	$6.09045$	$[0, -1, 0, -791111713, -8484930239135]$	\(y^2=x^3-x^2-791111713x-8484930239135\)	2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.?	$[ ]$
162624.gv1	162624fl2	162624.gv	162624fl	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \)	\( 2^{15} \cdot 3^{12} \cdot 7^{6} \cdot 11^{11} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$1$	$1$		$1$	$77414400$	$3.951916$	$943259332190261813000/10069472554261659$	$1.03532$	$6.09045$	$[0, 1, 0, -791111713, 8484930239135]$	\(y^2=x^3+x^2-791111713x+8484930239135\)	2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.?	$[ ]$
184800.bh1	184800gk2	184800.bh	184800gk	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{9} \cdot 3^{12} \cdot 5^{6} \cdot 7^{6} \cdot 11^{5} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$1$	$1$		$1$	$23224320$	$3.211113$	$943259332190261813000/10069472554261659$	$1.03532$	$5.29320$	$[0, -1, 0, -40863208, 99623805412]$	\(y^2=x^3-x^2-40863208x+99623805412\)	2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.?	$[ ]$
184800.fm1	184800x2	184800.fm	184800x	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{9} \cdot 3^{12} \cdot 5^{6} \cdot 7^{6} \cdot 11^{5} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$1$	$1$		$1$	$23224320$	$3.211113$	$943259332190261813000/10069472554261659$	$1.03532$	$5.29320$	$[0, 1, 0, -40863208, -99623805412]$	\(y^2=x^3+x^2-40863208x-99623805412\)	2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.?	$[ ]$
243936.bt1	243936bt2	243936.bt	243936bt	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{9} \cdot 3^{18} \cdot 7^{6} \cdot 11^{11} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$1$	$4$	$2$	$1$	$154828800$	$4.154648$	$943259332190261813000/10069472554261659$	$1.03532$	$6.08749$	$[0, 0, 0, -1780001355, 28637529557758]$	\(y^2=x^3-1780001355x+28637529557758\)	2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.?	$[ ]$
243936.ce1	243936ce2	243936.ce	243936ce	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{9} \cdot 3^{18} \cdot 7^{6} \cdot 11^{11} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$1$	$1$		$1$	$154828800$	$4.154648$	$943259332190261813000/10069472554261659$	$1.03532$	$6.08749$	$[0, 0, 0, -1780001355, -28637529557758]$	\(y^2=x^3-1780001355x-28637529557758\)	2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.?	$[ ]$
310464.hx1	310464hx2	310464.hx	310464hx	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{15} \cdot 3^{18} \cdot 7^{12} \cdot 11^{5} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$46.07140078$	$1$		$1$	$247726080$	$4.275230$	$943259332190261813000/10069472554261659$	$1.03532$	$6.08582$	$[0, 0, 0, -2883307980, -59039354700592]$	\(y^2=x^3-2883307980x-59039354700592\)	2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.?	$[(17657270421159249227312/532934609, 213674340004427731433491523719564/532934609)]$
310464.jp1	310464jp2	310464.jp	310464jp	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{15} \cdot 3^{18} \cdot 7^{12} \cdot 11^{5} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$1$	$1$		$1$	$247726080$	$4.275230$	$943259332190261813000/10069472554261659$	$1.03532$	$6.08582$	$[0, 0, 0, -2883307980, 59039354700592]$	\(y^2=x^3-2883307980x+59039354700592\)	2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.?	$[ ]$
369600.kb1	369600kb2	369600.kb	369600kb	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{15} \cdot 3^{12} \cdot 5^{6} \cdot 7^{6} \cdot 11^{5} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$1.731584794$	$1$		$5$	$92897280$	$3.557686$	$943259332190261813000/10069472554261659$	$1.03532$	$5.33142$	$[0, -1, 0, -163452833, -796826990463]$	\(y^2=x^3-x^2-163452833x-796826990463\)	2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.?	$[(-7493, 84700)]$
369600.mo1	369600mo2	369600.mo	369600mo	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{15} \cdot 3^{12} \cdot 5^{6} \cdot 7^{6} \cdot 11^{5} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$1$	$1$		$1$	$92897280$	$3.557686$	$943259332190261813000/10069472554261659$	$1.03532$	$5.33142$	$[0, 1, 0, -163452833, 796826990463]$	\(y^2=x^3+x^2-163452833x+796826990463\)	2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.?	$[ ]$
487872.hw1	487872hw2	487872.hw	487872hw	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{15} \cdot 3^{18} \cdot 7^{6} \cdot 11^{11} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$14.94195362$	$1$		$1$	$619315200$	$4.501221$	$943259332190261813000/10069472554261659$	$1.03532$	$6.08286$	$[0, 0, 0, -7120005420, 229100236462064]$	\(y^2=x^3-7120005420x+229100236462064\)	2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.?	$[(1223925838/151, 4324177459224/151)]$
487872.jc1	487872jc2	487872.jc	487872jc	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{15} \cdot 3^{18} \cdot 7^{6} \cdot 11^{11} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$1$	$1$		$1$	$619315200$	$4.501221$	$943259332190261813000/10069472554261659$	$1.03532$	$6.08286$	$[0, 0, 0, -7120005420, -229100236462064]$	\(y^2=x^3-7120005420x-229100236462064\)	2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.?	$[ ]$

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