Elliptic curve search results

Results (16 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
124800.bf1	124800bc2	124800.bf	124800bc	$2$	$2$	\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( 2^{13} \cdot 3^{7} \cdot 5^{3} \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$1$	$1$		$1$	$745472$	$1.615965$	$166463915033056/62462907$	$0.99049$	$3.96993$	$[0, -1, 0, -115513, -15067703]$	\(y^2=x^3-x^2-115513x-15067703\)	2.3.0.a.1, 20.6.0.b.1, 24.6.0.j.1, 120.12.0.?	$[ ]$
124800.bg1	124800ef1	124800.bg	124800ef	$2$	$2$	\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( 2^{7} \cdot 3^{7} \cdot 5^{3} \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$1$	$1$		$1$	$372736$	$1.269392$	$166463915033056/62462907$	$0.99049$	$3.61551$	$[0, -1, 0, -28878, 1897902]$	\(y^2=x^3-x^2-28878x+1897902\)	2.3.0.a.1, 20.6.0.b.1, 24.6.0.j.1, 120.12.0.?	$[ ]$
124800.bp1	124800dv1	124800.bp	124800dv	$2$	$2$	\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( 2^{7} \cdot 3^{7} \cdot 5^{9} \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$37.38630180$	$1$		$1$	$1863680$	$2.074112$	$166463915033056/62462907$	$0.99049$	$4.43844$	$[0, -1, 0, -721958, -235793838]$	\(y^2=x^3-x^2-721958x-235793838\)	2.3.0.a.1, 20.6.0.b.1, 24.6.0.j.1, 120.12.0.?	$[(151368767621047309/12187978, 16748264945178768521472121/12187978)]$
124800.bq1	124800ee2	124800.bq	124800ee	$2$	$2$	\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( 2^{13} \cdot 3^{7} \cdot 5^{9} \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$1$	$1$		$1$	$3727360$	$2.420685$	$166463915033056/62462907$	$0.99049$	$4.79286$	$[0, -1, 0, -2887833, 1889238537]$	\(y^2=x^3-x^2-2887833x+1889238537\)	2.3.0.a.1, 20.6.0.b.1, 24.6.0.j.1, 120.12.0.?	$[ ]$
124800.eb1	124800cr1	124800.eb	124800cr	$2$	$2$	\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( 2^{7} \cdot 3^{7} \cdot 5^{9} \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$2.587851492$	$1$		$3$	$1863680$	$2.074112$	$166463915033056/62462907$	$0.99049$	$4.43844$	$[0, 1, 0, -721958, 235793838]$	\(y^2=x^3+x^2-721958x+235793838\)	2.3.0.a.1, 20.6.0.b.1, 24.6.0.j.1, 120.12.0.?	$[(-17, 15750)]$
124800.ec1	124800fl2	124800.ec	124800fl	$2$	$2$	\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( 2^{13} \cdot 3^{7} \cdot 5^{9} \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$1.143792973$	$1$		$7$	$3727360$	$2.420685$	$166463915033056/62462907$	$0.99049$	$4.79286$	$[0, 1, 0, -2887833, -1889238537]$	\(y^2=x^3+x^2-2887833x-1889238537\)	2.3.0.a.1, 20.6.0.b.1, 24.6.0.j.1, 120.12.0.?	$[(-993, 468)]$
124800.el1	124800cq2	124800.el	124800cq	$2$	$2$	\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( 2^{13} \cdot 3^{7} \cdot 5^{3} \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$1.186559699$	$1$		$5$	$745472$	$1.615965$	$166463915033056/62462907$	$0.99049$	$3.96993$	$[0, 1, 0, -115513, 15067703]$	\(y^2=x^3+x^2-115513x+15067703\)	2.3.0.a.1, 20.6.0.b.1, 24.6.0.j.1, 120.12.0.?	$[(173, 540)]$
124800.em1	124800cw1	124800.em	124800cw	$2$	$2$	\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( 2^{7} \cdot 3^{7} \cdot 5^{3} \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$1$	$1$		$1$	$372736$	$1.269392$	$166463915033056/62462907$	$0.99049$	$3.61551$	$[0, 1, 0, -28878, -1897902]$	\(y^2=x^3+x^2-28878x-1897902\)	2.3.0.a.1, 20.6.0.b.1, 24.6.0.j.1, 120.12.0.?	$[ ]$
374400.fa1	374400fa2	374400.fa	374400fa	$2$	$2$	\( 2^{7} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( 2^{13} \cdot 3^{13} \cdot 5^{3} \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$1$	$1$		$1$	$5963776$	$2.165272$	$166463915033056/62462907$	$0.99049$	$4.14372$	$[0, 0, 0, -1039620, -407867600]$	\(y^2=x^3-1039620x-407867600\)	2.3.0.a.1, 20.6.0.b.1, 24.6.0.j.1, 120.12.0.?	$[ ]$
374400.fb1	374400fb1	374400.fb	374400fb	$2$	$2$	\( 2^{7} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( 2^{7} \cdot 3^{13} \cdot 5^{9} \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$12.77146529$	$1$		$1$	$14909440$	$2.623417$	$166463915033056/62462907$	$0.99049$	$4.57212$	$[0, 0, 0, -6497625, 6372931250]$	\(y^2=x^3-6497625x+6372931250\)	2.3.0.a.1, 20.6.0.b.1, 24.6.0.j.1, 120.12.0.?	$[(9568550/83, 3003102250/83)]$
374400.fc1	374400fc1	374400.fc	374400fc	$2$	$2$	\( 2^{7} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( 2^{7} \cdot 3^{13} \cdot 5^{3} \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$1.136897314$	$1$		$5$	$2981888$	$1.818697$	$166463915033056/62462907$	$0.99049$	$3.81965$	$[0, 0, 0, -259905, 50983450]$	\(y^2=x^3-259905x+50983450\)	2.3.0.a.1, 20.6.0.b.1, 24.6.0.j.1, 120.12.0.?	$[(1070, 31590)]$
374400.fd1	374400fd2	374400.fd	374400fd	$2$	$2$	\( 2^{7} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( 2^{13} \cdot 3^{13} \cdot 5^{9} \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$1$	$1$		$1$	$29818880$	$2.969990$	$166463915033056/62462907$	$0.99049$	$4.89620$	$[0, 0, 0, -25990500, -50983450000]$	\(y^2=x^3-25990500x-50983450000\)	2.3.0.a.1, 20.6.0.b.1, 24.6.0.j.1, 120.12.0.?	$[ ]$
374400.gk1	374400gk2	374400.gk	374400gk	$2$	$2$	\( 2^{7} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( 2^{13} \cdot 3^{13} \cdot 5^{3} \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$1$	$1$		$1$	$5963776$	$2.165272$	$166463915033056/62462907$	$0.99049$	$4.14372$	$[0, 0, 0, -1039620, 407867600]$	\(y^2=x^3-1039620x+407867600\)	2.3.0.a.1, 20.6.0.b.1, 24.6.0.j.1, 120.12.0.?	$[ ]$
374400.gl1	374400gl1	374400.gl	374400gl	$2$	$2$	\( 2^{7} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( 2^{7} \cdot 3^{13} \cdot 5^{9} \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$1$	$9$	$3$	$1$	$14909440$	$2.623417$	$166463915033056/62462907$	$0.99049$	$4.57212$	$[0, 0, 0, -6497625, -6372931250]$	\(y^2=x^3-6497625x-6372931250\)	2.3.0.a.1, 20.6.0.b.1, 24.6.0.j.1, 120.12.0.?	$[ ]$
374400.gm1	374400gm1	374400.gm	374400gm	$2$	$2$	\( 2^{7} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( 2^{7} \cdot 3^{13} \cdot 5^{3} \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$1$	$1$		$1$	$2981888$	$1.818697$	$166463915033056/62462907$	$0.99049$	$3.81965$	$[0, 0, 0, -259905, -50983450]$	\(y^2=x^3-259905x-50983450\)	2.3.0.a.1, 20.6.0.b.1, 24.6.0.j.1, 120.12.0.?	$[ ]$
374400.gn1	374400gn2	374400.gn	374400gn	$2$	$2$	\( 2^{7} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( 2^{13} \cdot 3^{13} \cdot 5^{9} \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$1$	$1$		$1$	$29818880$	$2.969990$	$166463915033056/62462907$	$0.99049$	$4.89620$	$[0, 0, 0, -25990500, 50983450000]$	\(y^2=x^3-25990500x+50983450000\)	2.3.0.a.1, 20.6.0.b.1, 24.6.0.j.1, 120.12.0.?	$[ ]$

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