Elliptic curve search results

Results (17 matches)

  Download displayed columns for results to

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
5160.l1	5160d3	5160.l	5160d	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{11} \cdot 3^{5} \cdot 5^{2} \cdot 43^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$1032$	$48$	$0$	$1$	$1$		$1$	$40960$	$1.730839$	$947094050118111698/20769216075$	$0.99077$	$5.73384$	$[0, 1, 0, -259816, 50886320]$	\(y^2=x^3+x^2-259816x+50886320\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0-4.c.1.1, 24.24.0-24.s.1.4, $\ldots$	$[ ]$
10320.b1	10320d3	10320.b	10320d	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{11} \cdot 3^{5} \cdot 5^{2} \cdot 43^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$1032$	$48$	$0$	$1$	$1$		$1$	$81920$	$1.730839$	$947094050118111698/20769216075$	$0.99077$	$5.30379$	$[0, -1, 0, -259816, -50886320]$	\(y^2=x^3-x^2-259816x-50886320\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.2, 24.24.0-24.s.1.3, $\ldots$	$[ ]$
15480.q1	15480n3	15480.q	15480n	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{11} \cdot 3^{11} \cdot 5^{2} \cdot 43^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$1032$	$48$	$0$	$1$	$16$	$2$	$1$	$327680$	$2.280144$	$947094050118111698/20769216075$	$0.99077$	$5.76415$	$[0, 0, 0, -2338347, -1376268986]$	\(y^2=x^3-2338347x-1376268986\)	2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.s.1.1, 344.24.0.?, 1032.48.0.?	$[ ]$
25800.a1	25800x4	25800.a	25800x	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{11} \cdot 3^{5} \cdot 5^{8} \cdot 43^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$2.965975201$	$1$		$3$	$983040$	$2.535557$	$947094050118111698/20769216075$	$0.99077$	$5.77601$	$[0, -1, 0, -6495408, 6373780812]$	\(y^2=x^3-x^2-6495408x+6373780812\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 40.12.0-4.c.1.2, 60.12.0-4.c.1.1, $\ldots$	$[(-1963, 107500)]$
30960.bd1	30960q4	30960.bd	30960q	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{11} \cdot 3^{11} \cdot 5^{2} \cdot 43^{4} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$1032$	$48$	$0$	$1$	$1$		$3$	$655360$	$2.280144$	$947094050118111698/20769216075$	$0.99077$	$5.37776$	$[0, 0, 0, -2338347, 1376268986]$	\(y^2=x^3-2338347x+1376268986\)	2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.s.1.2, 344.24.0.?, 1032.48.0.?	$[ ]$
41280.bt1	41280v4	41280.bt	41280v	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{17} \cdot 3^{5} \cdot 5^{2} \cdot 43^{4} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$1032$	$48$	$0$	$6.886155399$	$1$		$3$	$655360$	$2.077412$	$947094050118111698/20769216075$	$0.99077$	$5.00329$	$[0, -1, 0, -1039265, 408129825]$	\(y^2=x^3-x^2-1039265x+408129825\)	2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.s.1.2, 344.24.0.?, 1032.48.0.?	$[(28995/7, 27420/7)]$
41280.cs1	41280dl4	41280.cs	41280dl	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{17} \cdot 3^{5} \cdot 5^{2} \cdot 43^{4} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$1032$	$48$	$0$	$6.764594810$	$1$		$13$	$655360$	$2.077412$	$947094050118111698/20769216075$	$0.99077$	$5.00329$	$[0, 1, 0, -1039265, -408129825]$	\(y^2=x^3+x^2-1039265x-408129825\)	2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.s.1.1, 344.24.0.?, 1032.48.0.?	$[(-587, 36), (-590, 75)]$
51600.du1	51600w4	51600.du	51600w	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{11} \cdot 3^{5} \cdot 5^{8} \cdot 43^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$1$	$1$		$1$	$1966080$	$2.535557$	$947094050118111698/20769216075$	$0.99077$	$5.40705$	$[0, 1, 0, -6495408, -6373780812]$	\(y^2=x^3+x^2-6495408x-6373780812\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 40.12.0-4.c.1.1, 60.12.0-4.c.1.2, $\ldots$	$[ ]$
77400.c1	77400p4	77400.c	77400p	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( 2^{11} \cdot 3^{11} \cdot 5^{8} \cdot 43^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$3.948757095$	$1$		$3$	$7864320$	$3.084862$	$947094050118111698/20769216075$	$0.99077$	$5.79787$	$[0, 0, 0, -58458675, -172033623250]$	\(y^2=x^3-58458675x-172033623250\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.s.1, 120.24.0.?, $\ldots$	$[(47170, 10100700)]$
123840.e1	123840ez4	123840.e	123840ez	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{17} \cdot 3^{11} \cdot 5^{2} \cdot 43^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$1032$	$48$	$0$	$1.828718435$	$1$		$7$	$5242880$	$2.626717$	$947094050118111698/20769216075$	$0.99077$	$5.09667$	$[0, 0, 0, -9353388, 11010151888]$	\(y^2=x^3-9353388x+11010151888\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0-4.c.1.1, 24.24.0-24.s.1.4, $\ldots$	$[(1754, 720)]$
123840.dg1	123840cf4	123840.dg	123840cf	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{17} \cdot 3^{11} \cdot 5^{2} \cdot 43^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$1032$	$48$	$0$	$5.805311769$	$1$		$3$	$5242880$	$2.626717$	$947094050118111698/20769216075$	$0.99077$	$5.09667$	$[0, 0, 0, -9353388, -11010151888]$	\(y^2=x^3-9353388x-11010151888\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.2, 24.24.0-24.s.1.3, $\ldots$	$[(130324, 47034432)]$
154800.fw1	154800gg3	154800.fw	154800gg	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( 2^{11} \cdot 3^{11} \cdot 5^{8} \cdot 43^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$1$	$1$		$1$	$15728640$	$3.084862$	$947094050118111698/20769216075$	$0.99077$	$5.46156$	$[0, 0, 0, -58458675, 172033623250]$	\(y^2=x^3-58458675x+172033623250\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.s.1, 120.24.0.?, $\ldots$	$[ ]$
206400.ey1	206400fe4	206400.ey	206400fe	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{17} \cdot 3^{5} \cdot 5^{8} \cdot 43^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$8.445980461$	$1$		$1$	$15728640$	$2.882130$	$947094050118111698/20769216075$	$0.99077$	$5.13438$	$[0, -1, 0, -25981633, -50964264863]$	\(y^2=x^3-x^2-25981633x-50964264863\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.s.1, 120.24.0.?, $\ldots$	$[(4324133/23, 6469866000/23)]$
206400.fw1	206400gi3	206400.fw	206400gi	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{17} \cdot 3^{5} \cdot 5^{8} \cdot 43^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$1$	$1$		$1$	$15728640$	$2.882130$	$947094050118111698/20769216075$	$0.99077$	$5.13438$	$[0, 1, 0, -25981633, 50964264863]$	\(y^2=x^3+x^2-25981633x+50964264863\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.s.1, 120.24.0.?, $\ldots$	$[ ]$
221880.i1	221880h4	221880.i	221880h	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 43^{2} \)	\( 2^{11} \cdot 3^{5} \cdot 5^{2} \cdot 43^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$1032$	$48$	$0$	$1$	$16$	$2$	$1$	$75694080$	$3.611439$	$947094050118111698/20769216075$	$0.99077$	$5.81516$	$[0, -1, 0, -480400400, -4052544246900]$	\(y^2=x^3-x^2-480400400x-4052544246900\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.s.1.6, 344.24.0.?, $\ldots$	$[ ]$
252840.bb1	252840bb4	252840.bb	252840bb	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 43 \)	\( 2^{11} \cdot 3^{5} \cdot 5^{2} \cdot 7^{6} \cdot 43^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$7224$	$48$	$0$	$10.56817325$	$4$	$2$	$1$	$11796480$	$2.703793$	$947094050118111698/20769216075$	$0.99077$	$4.87860$	$[0, -1, 0, -12731000, -17479469748]$	\(y^2=x^3-x^2-12731000x-17479469748\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 56.12.0-4.c.1.1, 84.12.0.?, $\ldots$	$[(-595059/17, 2816400/17)]$
443760.dg1	443760dg3	443760.dg	443760dg	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 43^{2} \)	\( 2^{11} \cdot 3^{5} \cdot 5^{2} \cdot 43^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$1032$	$48$	$0$	$1$	$1$		$1$	$151388160$	$3.611439$	$947094050118111698/20769216075$	$0.99077$	$5.50517$	$[0, 1, 0, -480400400, 4052544246900]$	\(y^2=x^3+x^2-480400400x+4052544246900\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.s.1.6, 344.24.0.?, $\ldots$	$[ ]$

  Download displayed columns for results to