Elliptic curve search results

Results (17 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	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.h1	5160c1	5160.h	5160c	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{10} \cdot 3^{3} \cdot 5^{4} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$1032$	$12$	$0$	$1.527557675$	$1$		$5$	$2304$	$0.417706$	$3550014724/725625$	$0.99630$	$3.38317$	$[0, -1, 0, -320, -1668]$	\(y^2=x^3-x^2-320x-1668\)	2.3.0.a.1, 8.6.0.d.1, 258.6.0.?, 1032.12.0.?	$[(-11, 20)]$
10320.bf1	10320n1	10320.bf	10320n	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{10} \cdot 3^{3} \cdot 5^{4} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$1032$	$12$	$0$	$0.301010977$	$1$		$11$	$4608$	$0.417706$	$3550014724/725625$	$0.99630$	$3.12943$	$[0, 1, 0, -320, 1668]$	\(y^2=x^3+x^2-320x+1668\)	2.3.0.a.1, 8.6.0.d.1, 258.6.0.?, 1032.12.0.?	$[(16, 30)]$
15480.d1	15480l1	15480.d	15480l	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{10} \cdot 3^{9} \cdot 5^{4} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$1032$	$12$	$0$	$1$	$1$		$1$	$18432$	$0.967011$	$3550014724/725625$	$0.99630$	$3.68117$	$[0, 0, 0, -2883, 47918]$	\(y^2=x^3-2883x+47918\)	2.3.0.a.1, 8.6.0.d.1, 258.6.0.?, 1032.12.0.?	$[]$
25800.v1	25800bd1	25800.v	25800bd	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{10} \cdot 3^{3} \cdot 5^{10} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$1032$	$12$	$0$	$1.934753886$	$1$		$5$	$55296$	$1.222424$	$3550014724/725625$	$0.99630$	$3.79778$	$[0, 1, 0, -8008, -224512]$	\(y^2=x^3+x^2-8008x-224512\)	2.3.0.a.1, 8.6.0.d.1, 258.6.0.?, 1032.12.0.?	$[(-37, 150)]$
30960.g1	30960d1	30960.g	30960d	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{10} \cdot 3^{9} \cdot 5^{4} \cdot 43 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$1032$	$12$	$0$	$1.395582588$	$1$		$21$	$36864$	$0.967011$	$3550014724/725625$	$0.99630$	$3.43441$	$[0, 0, 0, -2883, -47918]$	\(y^2=x^3-2883x-47918\)	2.3.0.a.1, 8.6.0.d.1, 258.6.0.?, 1032.12.0.?	$[(-31, 108), (77, 432)]$
41280.e1	41280cd1	41280.e	41280cd	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{16} \cdot 3^{3} \cdot 5^{4} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$1032$	$12$	$0$	$1.766909673$	$1$		$5$	$36864$	$0.764279$	$3550014724/725625$	$0.99630$	$3.11255$	$[0, -1, 0, -1281, 14625]$	\(y^2=x^3-x^2-1281x+14625\)	2.3.0.a.1, 8.6.0.d.1, 258.6.0.?, 1032.12.0.?	$[(29, 32)]$
41280.cm1	41280ba1	41280.cm	41280ba	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{16} \cdot 3^{3} \cdot 5^{4} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$1032$	$12$	$0$	$1$	$1$		$1$	$36864$	$0.764279$	$3550014724/725625$	$0.99630$	$3.11255$	$[0, 1, 0, -1281, -14625]$	\(y^2=x^3+x^2-1281x-14625\)	2.3.0.a.1, 8.6.0.d.1, 258.6.0.?, 1032.12.0.?	$[]$
51600.bp1	51600i1	51600.bp	51600i	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{10} \cdot 3^{3} \cdot 5^{10} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$1032$	$12$	$0$	$1$	$1$		$1$	$110592$	$1.222424$	$3550014724/725625$	$0.99630$	$3.55519$	$[0, -1, 0, -8008, 224512]$	\(y^2=x^3-x^2-8008x+224512\)	2.3.0.a.1, 8.6.0.d.1, 258.6.0.?, 1032.12.0.?	$[]$
77400.q1	77400e1	77400.q	77400e	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( 2^{10} \cdot 3^{9} \cdot 5^{10} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$1032$	$12$	$0$	$1$	$1$		$1$	$442368$	$1.771730$	$3550014724/725625$	$0.99630$	$4.01271$	$[0, 0, 0, -72075, 5989750]$	\(y^2=x^3-72075x+5989750\)	2.3.0.a.1, 8.6.0.d.1, 258.6.0.?, 1032.12.0.?	$[]$
123840.ep1	123840gj1	123840.ep	123840gj	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{16} \cdot 3^{9} \cdot 5^{4} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$1032$	$12$	$0$	$2.259665899$	$1$		$5$	$294912$	$1.313585$	$3550014724/725625$	$0.99630$	$3.38306$	$[0, 0, 0, -11532, -383344]$	\(y^2=x^3-11532x-383344\)	2.3.0.a.1, 8.6.0.d.1, 258.6.0.?, 1032.12.0.?	$[(-83, 45)]$
123840.fo1	123840co1	123840.fo	123840co	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{16} \cdot 3^{9} \cdot 5^{4} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$1032$	$12$	$0$	$0.841503259$	$1$		$7$	$294912$	$1.313585$	$3550014724/725625$	$0.99630$	$3.38306$	$[0, 0, 0, -11532, 383344]$	\(y^2=x^3-11532x+383344\)	2.3.0.a.1, 8.6.0.d.1, 258.6.0.?, 1032.12.0.?	$[(8, 540)]$
154800.eq1	154800fz1	154800.eq	154800fz	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( 2^{10} \cdot 3^{9} \cdot 5^{10} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$1032$	$12$	$0$	$3.360188076$	$1$		$3$	$884736$	$1.771730$	$3550014724/725625$	$0.99630$	$3.77995$	$[0, 0, 0, -72075, -5989750]$	\(y^2=x^3-72075x-5989750\)	2.3.0.a.1, 8.6.0.d.1, 258.6.0.?, 1032.12.0.?	$[(715, 17550)]$
206400.br1	206400jj1	206400.br	206400jj	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{16} \cdot 3^{3} \cdot 5^{10} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$1032$	$12$	$0$	$1$	$1$		$1$	$884736$	$1.568998$	$3550014724/725625$	$0.99630$	$3.49229$	$[0, -1, 0, -32033, -1764063]$	\(y^2=x^3-x^2-32033x-1764063\)	2.3.0.a.1, 8.6.0.d.1, 258.6.0.?, 1032.12.0.?	$[]$
206400.ja1	206400cd1	206400.ja	206400cd	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{16} \cdot 3^{3} \cdot 5^{10} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$1032$	$12$	$0$	$1.457659166$	$1$		$5$	$884736$	$1.568998$	$3550014724/725625$	$0.99630$	$3.49229$	$[0, 1, 0, -32033, 1764063]$	\(y^2=x^3+x^2-32033x+1764063\)	2.3.0.a.1, 8.6.0.d.1, 258.6.0.?, 1032.12.0.?	$[(-62, 1875)]$
221880.q1	221880d1	221880.q	221880d	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 43^{2} \)	\( 2^{10} \cdot 3^{3} \cdot 5^{4} \cdot 43^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$1032$	$12$	$0$	$1$	$1$		$1$	$4257792$	$2.298306$	$3550014724/725625$	$0.99630$	$4.18272$	$[0, 1, 0, -592296, 140906880]$	\(y^2=x^3+x^2-592296x+140906880\)	2.3.0.a.1, 8.6.0.d.1, 258.6.0.?, 1032.12.0.?	$[]$
252840.bq1	252840bq1	252840.bq	252840bq	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 43 \)	\( 2^{10} \cdot 3^{3} \cdot 5^{4} \cdot 7^{6} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$1032$	$12$	$0$	$1$	$1$		$1$	$829440$	$1.390661$	$3550014724/725625$	$0.99630$	$3.26330$	$[0, 1, 0, -15696, 603504]$	\(y^2=x^3+x^2-15696x+603504\)	2.3.0.a.1, 8.6.0.d.1, 258.6.0.?, 1032.12.0.?	$[]$
443760.o1	443760o1	443760.o	443760o	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 43^{2} \)	\( 2^{10} \cdot 3^{3} \cdot 5^{4} \cdot 43^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$1032$	$12$	$0$	$1$	$1$		$1$	$8515584$	$2.298306$	$3550014724/725625$	$0.99630$	$3.95976$	$[0, -1, 0, -592296, -140906880]$	\(y^2=x^3-x^2-592296x-140906880\)	2.3.0.a.1, 8.6.0.d.1, 258.6.0.?, 1032.12.0.?	$[]$