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.e1	1290d3	1290.e	1290d	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 43 \)	\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.8	2B	$1032$	$48$	$0$	$1$	$1$		$0$	$768$	$0.499490$	$65202655558249/512820150$	$0.94492$	$4.44104$	$[1, 0, 1, -839, 9212]$	\(y^2+xy+y=x^3-839x+9212\)	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, $\ldots$	$[]$
3870.z1	3870y3	3870.z	3870y	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2 \cdot 3^{7} \cdot 5^{2} \cdot 43^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$1032$	$48$	$0$	$1$	$4$	$2$	$0$	$6144$	$1.048796$	$65202655558249/512820150$	$0.94492$	$4.64837$	$[1, -1, 1, -7547, -248731]$	\(y^2+xy+y=x^3-x^2-7547x-248731\)	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.?	$[]$
6450.t1	6450bd3	6450.t	6450bd	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2 \cdot 3 \cdot 5^{8} \cdot 43^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$1.558052398$	$1$		$0$	$18432$	$1.304209$	$65202655558249/512820150$	$0.94492$	$4.72708$	$[1, 1, 1, -20963, 1151531]$	\(y^2+xy+y=x^3+x^2-20963x+1151531\)	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, $\ldots$	$[(-505/2, 11251/2)]$
10320.a1	10320s3	10320.a	10320s	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{13} \cdot 3 \cdot 5^{2} \cdot 43^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$1032$	$48$	$0$	$0.761400674$	$1$		$5$	$18432$	$1.192636$	$65202655558249/512820150$	$0.94492$	$4.34181$	$[0, -1, 0, -13416, -589584]$	\(y^2=x^3-x^2-13416x-589584\)	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, $\ldots$	$[(316, 5160)]$
19350.e1	19350ba3	19350.e	19350ba	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( 2 \cdot 3^{7} \cdot 5^{8} \cdot 43^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$0.867354295$	$1$		$8$	$147456$	$1.853516$	$65202655558249/512820150$	$0.94492$	$4.86876$	$[1, -1, 0, -188667, -31280009]$	\(y^2+xy=x^3-x^2-188667x-31280009\)	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.?, $\ldots$	$[(-235, 311)]$
30960.bc1	30960cd4	30960.bc	30960cd	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{13} \cdot 3^{7} \cdot 5^{2} \cdot 43^{4} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$1032$	$48$	$0$	$2.370442883$	$1$		$9$	$147456$	$1.741943$	$65202655558249/512820150$	$0.94492$	$4.51798$	$[0, 0, 0, -120747, 16039514]$	\(y^2=x^3-120747x+16039514\)	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.?	$[(223, 450)]$
41280.bu1	41280u4	41280.bu	41280u	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{19} \cdot 3 \cdot 5^{2} \cdot 43^{4} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$1032$	$48$	$0$	$5.545470831$	$1$		$5$	$147456$	$1.539211$	$65202655558249/512820150$	$0.94492$	$4.16679$	$[0, -1, 0, -53665, 4770337]$	\(y^2=x^3-x^2-53665x+4770337\)	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.?	$[(584, 13125)]$
41280.ct1	41280dk4	41280.ct	41280dk	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{19} \cdot 3 \cdot 5^{2} \cdot 43^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$1032$	$48$	$0$	$1$	$4$	$2$	$1$	$147456$	$1.539211$	$65202655558249/512820150$	$0.94492$	$4.16679$	$[0, 1, 0, -53665, -4770337]$	\(y^2=x^3+x^2-53665x-4770337\)	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.?	$[]$
51600.dv1	51600cx4	51600.dv	51600cx	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{13} \cdot 3 \cdot 5^{8} \cdot 43^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$11.34521048$	$1$		$1$	$442368$	$1.997356$	$65202655558249/512820150$	$0.94492$	$4.58775$	$[0, 1, 0, -335408, -74368812]$	\(y^2=x^3+x^2-335408x-74368812\)	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, $\ldots$	$[(698188/21, 537249250/21)]$
55470.x1	55470bd4	55470.x	55470bd	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \)	\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$1032$	$48$	$0$	$1$	$4$	$2$	$0$	$1419264$	$2.380089$	$65202655558249/512820150$	$0.94492$	$4.97782$	$[1, 1, 1, -1550425, -738640015]$	\(y^2+xy+y=x^3+x^2-1550425x-738640015\)	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.?, $\ldots$	$[]$
63210.k1	63210h4	63210.k	63210h	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 43 \)	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{6} \cdot 43^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$7224$	$48$	$0$	$1.552791288$	$4$	$2$	$6$	$221184$	$1.472445$	$65202655558249/512820150$	$0.94492$	$3.93370$	$[1, 1, 0, -41087, -3200889]$	\(y^2+xy=x^3+x^2-41087x-3200889\)	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.?, $\ldots$	$[(-113, 179)]$
123840.i1	123840ey4	123840.i	123840ey	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{19} \cdot 3^{7} \cdot 5^{2} \cdot 43^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$1032$	$48$	$0$	$1.796074598$	$1$		$3$	$1179648$	$2.088516$	$65202655558249/512820150$	$0.94492$	$4.33853$	$[0, 0, 0, -482988, 128316112]$	\(y^2=x^3-482988x+128316112\)	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, $\ldots$	$[(266, 4320)]$
123840.dk1	123840cd4	123840.dk	123840cd	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{19} \cdot 3^{7} \cdot 5^{2} \cdot 43^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$1032$	$48$	$0$	$2.731771861$	$1$		$3$	$1179648$	$2.088516$	$65202655558249/512820150$	$0.94492$	$4.33853$	$[0, 0, 0, -482988, -128316112]$	\(y^2=x^3-482988x-128316112\)	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, $\ldots$	$[(1636, 58824)]$
154800.fy1	154800di3	154800.fy	154800di	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( 2^{13} \cdot 3^{7} \cdot 5^{8} \cdot 43^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$2.717607305$	$1$		$3$	$3538944$	$2.546661$	$65202655558249/512820150$	$0.94492$	$4.71758$	$[0, 0, 0, -3018675, 2004939250]$	\(y^2=x^3-3018675x+2004939250\)	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.?, $\ldots$	$[(-1135, 63000)]$
156090.bi1	156090k4	156090.bi	156090k	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 43 \)	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{6} \cdot 43^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$11352$	$48$	$0$	$9.741566650$	$1$		$0$	$1105920$	$1.698437$	$65202655558249/512820150$	$0.94492$	$3.86312$	$[1, 0, 0, -101461, -12362965]$	\(y^2+xy=x^3-101461x-12362965\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 88.12.0.?, 132.12.0.?, $\ldots$	$[(-28091/12, 384385/12)]$
166410.a1	166410by3	166410.a	166410by	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 43^{2} \)	\( 2 \cdot 3^{7} \cdot 5^{2} \cdot 43^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.13	2B	$1032$	$48$	$0$	$2.138266420$	$1$		$6$	$11354112$	$2.929398$	$65202655558249/512820150$	$0.94492$	$5.07123$	$[1, -1, 0, -13953825, 19929326575]$	\(y^2+xy=x^3-x^2-13953825x+19929326575\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 24.24.0-24.s.1.8, 172.12.0.?, $\ldots$	$[(2333, 7154)]$
189630.di1	189630bg3	189630.di	189630bg	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 43 \)	\( 2 \cdot 3^{7} \cdot 5^{2} \cdot 7^{6} \cdot 43^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$7224$	$48$	$0$	$1$	$1$		$0$	$1769472$	$2.021751$	$65202655558249/512820150$	$0.94492$	$4.12049$	$[1, -1, 1, -369788, 86054217]$	\(y^2+xy+y=x^3-x^2-369788x+86054217\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 28.12.0-4.c.1.1, 168.24.0.?, $\ldots$	$[]$
206400.ev1	206400fd4	206400.ev	206400fd	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{19} \cdot 3 \cdot 5^{8} \cdot 43^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$3.363898556$	$1$		$1$	$3538944$	$2.343929$	$65202655558249/512820150$	$0.94492$	$4.40788$	$[0, -1, 0, -1341633, -593608863]$	\(y^2=x^3-x^2-1341633x-593608863\)	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.?, $\ldots$	$[(45613/3, 9460000/3)]$
206400.ft1	206400gh3	206400.ft	206400gh	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{19} \cdot 3 \cdot 5^{8} \cdot 43^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$1$	$1$		$1$	$3538944$	$2.343929$	$65202655558249/512820150$	$0.94492$	$4.40788$	$[0, 1, 0, -1341633, 593608863]$	\(y^2=x^3+x^2-1341633x+593608863\)	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.?, $\ldots$	$[]$
218010.ch1	218010b3	218010.ch	218010b	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 43 \)	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{6} \cdot 43^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$13416$	$48$	$0$	$1$	$4$	$2$	$0$	$1769472$	$1.781965$	$65202655558249/512820150$	$0.94492$	$3.83966$	$[1, 0, 0, -141710, 20381022]$	\(y^2+xy=x^3-141710x+20381022\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 104.12.0.?, 156.12.0.?, $\ldots$	$[]$
277350.bx1	277350bx4	277350.bx	277350bx	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \)	\( 2 \cdot 3 \cdot 5^{8} \cdot 43^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$37.57386448$	$1$		$0$	$34062336$	$3.184807$	$65202655558249/512820150$	$0.94492$	$5.10909$	$[1, 0, 1, -38760626, -92252480602]$	\(y^2+xy+y=x^3-38760626x-92252480602\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$	$[(-158860352528224238/6764961, 7257927040284779566216706/6764961)]$
316050.il1	316050il4	316050.il	316050il	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 \)	\( 2 \cdot 3 \cdot 5^{8} \cdot 7^{6} \cdot 43^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$36120$	$48$	$0$	$13.02397651$	$1$		$0$	$5308416$	$2.277164$	$65202655558249/512820150$	$0.94492$	$4.19631$	$[1, 0, 0, -1027188, -398056758]$	\(y^2+xy=x^3-1027188x-398056758\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 280.12.0.?, 344.12.0.?, $\ldots$	$[(-3577037/78, 922056793/78)]$
372810.n1	372810n3	372810.n	372810n	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 17^{2} \cdot 43 \)	\( 2 \cdot 3 \cdot 5^{2} \cdot 17^{6} \cdot 43^{4} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$17544$	$48$	$0$	$11.39192785$	$1$		$6$	$3932160$	$1.916096$	$65202655558249/512820150$	$0.94492$	$3.80454$	$[1, 1, 0, -242332, 45502114]$	\(y^2+xy=x^3+x^2-242332x+45502114\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 136.12.0.?, 204.12.0.?, $\ldots$	$[(375, 2558), (2367/2, 81443/2)]$
443760.df1	443760df3	443760.df	443760df	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 43^{2} \)	\( 2^{13} \cdot 3 \cdot 5^{2} \cdot 43^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$1032$	$48$	$0$	$29.99634595$	$1$		$1$	$34062336$	$3.073238$	$65202655558249/512820150$	$0.94492$	$4.82145$	$[0, 1, 0, -24806800, 47223347348]$	\(y^2=x^3+x^2-24806800x+47223347348\)	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.?, $\ldots$	$[(48049857178684/52437, 320800834692325371950/52437)]$
465690.bq1	465690bq4	465690.bq	465690bq	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{6} \cdot 43^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19608$	$48$	$0$	$16.77063565$	$1$		$0$	$5308416$	$1.971708$	$65202655558249/512820150$	$0.94492$	$3.79083$	$[1, 1, 1, -302706, -63792231]$	\(y^2+xy+y=x^3+x^2-302706x-63792231\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 152.12.0.?, 228.12.0.?, $\ldots$	$[(-30556987/308, 23658828117/308)]$
468270.bf1	468270bf3	468270.bf	468270bf	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 43 \)	\( 2 \cdot 3^{7} \cdot 5^{2} \cdot 11^{6} \cdot 43^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$11352$	$48$	$0$	$2.276811777$	$1$		$4$	$8847360$	$2.247742$	$65202655558249/512820150$	$0.94492$	$4.04292$	$[1, -1, 0, -913149, 333800055]$	\(y^2+xy=x^3-x^2-913149x+333800055\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 44.12.0-4.c.1.1, 264.24.0.?, $\ldots$	$[(861, 13182)]$