Elliptic curve search results

Results (26 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
1290.b1	1290b1	1290.b	1290b	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{4} \cdot 3^{11} \cdot 5^{10} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$1$		$1$	$10560$	$1.763231$	$408076159454905367161/1190206406250000$	$1.01605$	$6.62599$	$[1, 1, 0, -154527, -23386059]$	\(y^2+xy=x^3+x^2-154527x-23386059\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[]$
3870.p1	3870q1	3870.p	3870q	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{4} \cdot 3^{17} \cdot 5^{10} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$4.285791028$	$1$		$5$	$84480$	$2.312538$	$408076159454905367161/1190206406250000$	$1.01605$	$6.54274$	$[1, -1, 1, -1390748, 630032847]$	\(y^2+xy+y=x^3-x^2-1390748x+630032847\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[(635, 1311)]$
6450.bk1	6450bh1	6450.bk	6450bh	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{4} \cdot 3^{11} \cdot 5^{16} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$1$		$1$	$253440$	$2.567951$	$408076159454905367161/1190206406250000$	$1.01605$	$6.51114$	$[1, 0, 0, -3863188, -2915531008]$	\(y^2+xy=x^3-3863188x-2915531008\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[]$
10320.bg1	10320bg1	10320.bg	10320bg	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{16} \cdot 3^{11} \cdot 5^{10} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$0.207935257$	$1$		$15$	$253440$	$2.456379$	$408076159454905367161/1190206406250000$	$1.01605$	$6.03514$	$[0, 1, 0, -2472440, 1491762900]$	\(y^2=x^3+x^2-2472440x+1491762900\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[(820, 4050)]$
19350.q1	19350u1	19350.q	19350u	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( 2^{4} \cdot 3^{17} \cdot 5^{16} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$3.035918329$	$1$		$3$	$2027520$	$3.117256$	$408076159454905367161/1190206406250000$	$1.01605$	$6.45424$	$[1, -1, 0, -34768692, 78719337216]$	\(y^2+xy=x^3-x^2-34768692x+78719337216\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[(13404, 1414848)]$
30960.o1	30960bl1	30960.o	30960bl	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{16} \cdot 3^{17} \cdot 5^{10} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$4$	$2$	$1$	$2027520$	$3.005684$	$408076159454905367161/1190206406250000$	$1.01605$	$6.03140$	$[0, 0, 0, -22251963, -40299850262]$	\(y^2=x^3-22251963x-40299850262\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[]$
41280.p1	41280by1	41280.p	41280by	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{22} \cdot 3^{11} \cdot 5^{10} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$4$	$2$	$1$	$2027520$	$2.802952$	$408076159454905367161/1190206406250000$	$1.01605$	$5.63924$	$[0, -1, 0, -9889761, 11943992961]$	\(y^2=x^3-x^2-9889761x+11943992961\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[]$
41280.cb1	41280bd1	41280.cb	41280bd	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{22} \cdot 3^{11} \cdot 5^{10} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$3.036626922$	$1$		$5$	$2027520$	$2.802952$	$408076159454905367161/1190206406250000$	$1.01605$	$5.63924$	$[0, 1, 0, -9889761, -11943992961]$	\(y^2=x^3+x^2-9889761x-11943992961\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[(-1869, 3840)]$
51600.w1	51600bo1	51600.w	51600bo	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{16} \cdot 3^{11} \cdot 5^{16} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$1$		$1$	$6082560$	$3.261097$	$408076159454905367161/1190206406250000$	$1.01605$	$6.02992$	$[0, -1, 0, -61811008, 186593984512]$	\(y^2=x^3-x^2-61811008x+186593984512\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[]$
55470.bf1	55470bg1	55470.bf	55470bg	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \)	\( 2^{4} \cdot 3^{11} \cdot 5^{10} \cdot 43^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$1$		$1$	$19514880$	$3.643829$	$408076159454905367161/1190206406250000$	$1.01605$	$6.41045$	$[1, 0, 0, -285721386, 1854212413716]$	\(y^2+xy=x^3-285721386x+1854212413716\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[]$
63210.y1	63210w1	63210.y	63210w	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 43 \)	\( 2^{4} \cdot 3^{11} \cdot 5^{10} \cdot 7^{6} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1.382185385$	$1$		$7$	$4055040$	$2.736187$	$408076159454905367161/1190206406250000$	$1.01605$	$5.34940$	$[1, 0, 1, -7571849, 7998702716]$	\(y^2+xy+y=x^3-7571849x+7998702716\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[(1719, 7078)]$
123840.et1	123840fv1	123840.et	123840fv	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{22} \cdot 3^{17} \cdot 5^{10} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$1$		$1$	$16220160$	$3.352257$	$408076159454905367161/1190206406250000$	$1.01605$	$5.67304$	$[0, 0, 0, -89007852, -322398802096]$	\(y^2=x^3-89007852x-322398802096\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[]$
123840.fk1	123840da1	123840.fk	123840da	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{22} \cdot 3^{17} \cdot 5^{10} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$1$		$1$	$16220160$	$3.352257$	$408076159454905367161/1190206406250000$	$1.01605$	$5.67304$	$[0, 0, 0, -89007852, 322398802096]$	\(y^2=x^3-89007852x+322398802096\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[]$
154800.ec1	154800ct1	154800.ec	154800ct	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( 2^{16} \cdot 3^{17} \cdot 5^{16} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$33.50628072$	$1$		$1$	$48660480$	$3.810402$	$408076159454905367161/1190206406250000$	$1.01605$	$6.02717$	$[0, 0, 0, -556299075, -5037481282750]$	\(y^2=x^3-556299075x-5037481282750\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[(11040955134269185/485169, 969485132373910921525600/485169)]$
156090.be1	156090u1	156090.be	156090u	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 43 \)	\( 2^{4} \cdot 3^{11} \cdot 5^{10} \cdot 11^{6} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$3.532727132$	$1$		$5$	$11404800$	$2.962177$	$408076159454905367161/1190206406250000$	$1.01605$	$5.17180$	$[1, 1, 1, -18697830, 31033355475]$	\(y^2+xy+y=x^3+x^2-18697830x+31033355475\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[(1143, 105053)]$
166410.w1	166410bo1	166410.w	166410bo	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 43^{2} \)	\( 2^{4} \cdot 3^{17} \cdot 5^{10} \cdot 43^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$1$		$1$	$156119040$	$4.193138$	$408076159454905367161/1190206406250000$	$1.01605$	$6.37294$	$[1, -1, 0, -2571492474, -50063735170332]$	\(y^2+xy=x^3-x^2-2571492474x-50063735170332\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[]$
189630.dx1	189630b1	189630.dx	189630b	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 43 \)	\( 2^{4} \cdot 3^{17} \cdot 5^{10} \cdot 7^{6} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$2.555534958$	$1$		$3$	$32440320$	$3.285492$	$408076159454905367161/1190206406250000$	$1.01605$	$5.40822$	$[1, -1, 1, -68146637, -215964973339]$	\(y^2+xy+y=x^3-x^2-68146637x-215964973339\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[(42471, 8551804)]$
206400.cb1	206400jm1	206400.cb	206400jm	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{22} \cdot 3^{11} \cdot 5^{16} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$34.78169797$	$1$		$1$	$48660480$	$3.607670$	$408076159454905367161/1190206406250000$	$1.01605$	$5.68669$	$[0, -1, 0, -247244033, -1492504632063]$	\(y^2=x^3-x^2-247244033x-1492504632063\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[(82297091799738097/1473511, 21122684580191986345446400/1473511)]$
206400.iq1	206400bz1	206400.iq	206400bz	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{22} \cdot 3^{11} \cdot 5^{16} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$1$		$1$	$48660480$	$3.607670$	$408076159454905367161/1190206406250000$	$1.01605$	$5.68669$	$[0, 1, 0, -247244033, 1492504632063]$	\(y^2=x^3+x^2-247244033x+1492504632063\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[]$
218010.bm1	218010bb1	218010.bm	218010bb	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 43 \)	\( 2^{4} \cdot 3^{11} \cdot 5^{10} \cdot 13^{6} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$1$		$1$	$24330240$	$3.045704$	$408076159454905367161/1190206406250000$	$1.01605$	$5.11277$	$[1, 1, 1, -26115151, -51248596027]$	\(y^2+xy+y=x^3+x^2-26115151x-51248596027\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[]$
277350.p1	277350p1	277350.p	277350p	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \)	\( 2^{4} \cdot 3^{11} \cdot 5^{16} \cdot 43^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$9$	$3$	$1$	$468357120$	$4.448547$	$408076159454905367161/1190206406250000$	$1.01605$	$6.35774$	$[1, 1, 0, -7143034650, 231776551714500]$	\(y^2+xy=x^3+x^2-7143034650x+231776551714500\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[]$
316050.hi1	316050hi1	316050.hi	316050hi	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 \)	\( 2^{4} \cdot 3^{11} \cdot 5^{16} \cdot 7^{6} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$9$	$3$	$1$	$97320960$	$3.540905$	$408076159454905367161/1190206406250000$	$1.01605$	$5.43209$	$[1, 1, 1, -189296213, 999837839531]$	\(y^2+xy+y=x^3+x^2-189296213x+999837839531\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[]$
372810.bh1	372810bh1	372810.bh	372810bh	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 17^{2} \cdot 43 \)	\( 2^{4} \cdot 3^{11} \cdot 5^{10} \cdot 17^{6} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$1$		$1$	$54743040$	$3.179836$	$408076159454905367161/1190206406250000$	$1.01605$	$5.02441$	$[1, 0, 1, -44658454, -114583099048]$	\(y^2+xy+y=x^3-44658454x-114583099048\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[]$
443760.f1	443760f1	443760.f	443760f	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 43^{2} \)	\( 2^{16} \cdot 3^{11} \cdot 5^{10} \cdot 43^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$59.71541258$	$1$		$1$	$468357120$	$4.336975$	$408076159454905367161/1190206406250000$	$1.01605$	$6.02497$	$[0, -1, 0, -4571542176, -118669594477824]$	\(y^2=x^3-x^2-4571542176x-118669594477824\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[(-1429449158291120657008588112/187806890641, 1266226779187835987909965418910726036384/187806890641)]$
465690.cn1	465690cn1	465690.cn	465690cn	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( 2^{4} \cdot 3^{11} \cdot 5^{10} \cdot 19^{6} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$0.862105711$	$1$		$7$	$75271680$	$3.235451$	$408076159454905367161/1190206406250000$	$1.01605$	$4.98990$	$[1, 0, 0, -55784435, 159958703697]$	\(y^2+xy=x^3-55784435x+159958703697\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[(2884, 150433)]$
468270.i1	468270i1	468270.i	468270i	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 43 \)	\( 2^{4} \cdot 3^{17} \cdot 5^{10} \cdot 11^{6} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$1$		$1$	$91238400$	$3.511486$	$408076159454905367161/1190206406250000$	$1.01605$	$5.24149$	$[1, -1, 0, -168280470, -838068878300]$	\(y^2+xy=x^3-x^2-168280470x-838068878300\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[]$