Elliptic curve search results

Results (9 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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
44520.r4	44520u3	44520.r	44520u	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 53 \)	\( - 2^{10} \cdot 3^{36} \cdot 5 \cdot 7 \cdot 53^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$840$	$48$	$0$	$7.706806190$	$1$		$1$	$11022336$	$3.583515$	$-221448979693296464284621156/14756554069224468581115$	$1.01049$	$6.32517$	$2$	$[0, 1, 0, -127042776, -582064159680]$	\(y^2=x^3+x^2-127042776x-582064159680\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.3, 28.12.0-4.c.1.1, $\ldots$	$[(17392536/5, 72524926584/5)]$	$1$
89040.n4	89040f3	89040.n	89040f	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 53 \)	\( - 2^{10} \cdot 3^{36} \cdot 5 \cdot 7 \cdot 53^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$840$	$48$	$0$	$1$	$1$		$1$	$22044672$	$3.583515$	$-221448979693296464284621156/14756554069224468581115$	$1.01049$	$5.94048$	$2$	$[0, -1, 0, -127042776, 582064159680]$	\(y^2=x^3-x^2-127042776x+582064159680\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.3, 28.12.0-4.c.1.2, $\ldots$	$[ ]$	$1$
133560.v4	133560bc3	133560.v	133560bc	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \)	\( - 2^{10} \cdot 3^{42} \cdot 5 \cdot 7 \cdot 53^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$840$	$48$	$0$	$1$	$4$	$2$	$1$	$88178688$	$4.132820$	$-221448979693296464284621156/14756554069224468581115$	$1.01049$	$6.29490$	$2$	$[0, 0, 0, -1143384987, 15714588926374]$	\(y^2=x^3-1143384987x+15714588926374\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 60.12.0-4.c.1.1, 70.6.0.a.1, $\ldots$	$[ ]$	$1$
222600.bg4	222600cl4	222600.bg	222600cl	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \)	\( - 2^{10} \cdot 3^{36} \cdot 5^{7} \cdot 7 \cdot 53^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$840$	$48$	$0$	$109.9820570$	$1$		$1$	$264536064$	$4.388229$	$-221448979693296464284621156/14756554069224468581115$	$1.01049$	$6.28267$	$2$	$[0, -1, 0, -3176069408, -72751667821188]$	\(y^2=x^3-x^2-3176069408x-72751667821188\)	2.3.0.a.1, 4.12.0-4.c.1.2, 70.6.0.a.1, 120.24.0.?, 140.24.0.?, $\ldots$	$[(3428559919050633870897290259774133672257475911793/4947887458978874483436, 5719136177884966321709954337541650723405090757329573874736124105699347359/4947887458978874483436)]$	$1$
267120.eu4	267120eu4	267120.eu	267120eu	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \)	\( - 2^{10} \cdot 3^{42} \cdot 5 \cdot 7 \cdot 53^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$840$	$48$	$0$	$87.58260496$	$1$		$1$	$176357376$	$4.132820$	$-221448979693296464284621156/14756554069224468581115$	$1.01049$	$5.94571$	$2$	$[0, 0, 0, -1143384987, -15714588926374]$	\(y^2=x^3-1143384987x-15714588926374\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 60.12.0-4.c.1.2, 70.6.0.a.1, $\ldots$	$[(786609751776608353976091424403549961494/16692206735592025, 22060110500283309196676988147389705508383806139042858548528/16692206735592025)]$	$1$
311640.y4	311640y3	311640.y	311640y	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 53 \)	\( - 2^{10} \cdot 3^{36} \cdot 5 \cdot 7^{7} \cdot 53^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$840$	$48$	$0$	$1$	$36$	$2, 3$	$1$	$529072128$	$4.556465$	$-221448979693296464284621156/14756554069224468581115$	$1.01049$	$6.27515$	$2$	$[0, -1, 0, -6225096040, 199635556578172]$	\(y^2=x^3-x^2-6225096040x+199635556578172\)	2.3.0.a.1, 4.12.0-4.c.1.2, 70.6.0.a.1, 120.24.0.?, 140.24.0.?, $\ldots$	$[ ]$	$1$
356160.bz4	356160bz4	356160.bz	356160bz	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 53 \)	\( - 2^{16} \cdot 3^{36} \cdot 5 \cdot 7 \cdot 53^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$840$	$48$	$0$	$45.58765745$	$4$	$2$	$1$	$176357376$	$3.930088$	$-221448979693296464284621156/14756554069224468581115$	$1.01049$	$5.62159$	$2$	$[0, -1, 0, -508171105, -4656005106335]$	\(y^2=x^3-x^2-508171105x-4656005106335\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 40.12.0-4.c.1.1, 56.12.0-4.c.1.2, $\ldots$	$[(804458646288127298779/91874613, 22106011669757885920055047927820/91874613)]$	$1$
356160.hr4	356160hr3	356160.hr	356160hr	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 53 \)	\( - 2^{16} \cdot 3^{36} \cdot 5 \cdot 7 \cdot 53^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$840$	$48$	$0$	$1$	$4$	$2$	$1$	$176357376$	$3.930088$	$-221448979693296464284621156/14756554069224468581115$	$1.01049$	$5.62159$	$2$	$[0, 1, 0, -508171105, 4656005106335]$	\(y^2=x^3+x^2-508171105x+4656005106335\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 40.12.0-4.c.1.2, 56.12.0-4.c.1.1, $\ldots$	$[ ]$	$1$
445200.em4	445200em3	445200.em	445200em	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \)	\( - 2^{10} \cdot 3^{36} \cdot 5^{7} \cdot 7 \cdot 53^{2} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$840$	$48$	$0$	$4.887420668$	$1$		$5$	$529072128$	$4.388229$	$-221448979693296464284621156/14756554069224468581115$	$1.01049$	$5.94784$	$1$	$[0, 1, 0, -3176069408, 72751667821188]$	\(y^2=x^3+x^2-3176069408x+72751667821188\)	2.3.0.a.1, 4.12.0-4.c.1.1, 70.6.0.a.1, 120.24.0.?, 140.24.0.?, $\ldots$	$[(24523, 3100500)]$	$1$

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