Elliptic curve search results

Results (22 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
9240.a2	9240q3	9240.a	9240q	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{11} \cdot 3^{8} \cdot 5^{2} \cdot 7^{4} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$616$	$48$	$0$	$3.552850096$	$1$		$3$	$16384$	$1.254549$	$120186986927618/4332064275$	$0.92899$	$4.38543$	$[0, -1, 0, -13056, -551700]$	\(y^2=x^3-x^2-13056x-551700\)	2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.z.1.12, 88.24.0.?, 616.48.0.?	$[(249, 3402)]$
18480.ce2	18480w4	18480.ce	18480w	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{11} \cdot 3^{8} \cdot 5^{2} \cdot 7^{4} \cdot 11 \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$616$	$48$	$0$	$0.493687955$	$1$		$19$	$32768$	$1.254549$	$120186986927618/4332064275$	$0.92899$	$4.07603$	$[0, 1, 0, -13056, 551700]$	\(y^2=x^3+x^2-13056x+551700\)	2.3.0.a.1, 4.12.0-4.c.1.1, 56.24.0-56.z.1.4, 88.24.0.?, 616.48.0.?	$[(54, 84)]$
27720.y2	27720p3	27720.y	27720p	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{11} \cdot 3^{14} \cdot 5^{2} \cdot 7^{4} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1848$	$48$	$0$	$3.286140292$	$1$		$3$	$131072$	$1.803856$	$120186986927618/4332064275$	$0.92899$	$4.55882$	$[0, 0, 0, -117507, 15013406]$	\(y^2=x^3-117507x+15013406\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 56.12.0.z.1, 88.12.0.?, $\ldots$	$[(422, 6370)]$
46200.de2	46200bl3	46200.de	46200bl	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{11} \cdot 3^{8} \cdot 5^{8} \cdot 7^{4} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3080$	$48$	$0$	$1$	$1$		$1$	$393216$	$2.059269$	$120186986927618/4332064275$	$0.92899$	$4.62737$	$[0, 1, 0, -326408, -69615312]$	\(y^2=x^3+x^2-326408x-69615312\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 56.12.0.z.1, 88.12.0.?, $\ldots$	$[]$
55440.er2	55440bs3	55440.er	55440bs	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{11} \cdot 3^{14} \cdot 5^{2} \cdot 7^{4} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1848$	$48$	$0$	$1.756757243$	$1$		$7$	$262144$	$1.803856$	$120186986927618/4332064275$	$0.92899$	$4.26953$	$[0, 0, 0, -117507, -15013406]$	\(y^2=x^3-117507x-15013406\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0.z.1, 88.12.0.?, $\ldots$	$[(-177, 490)]$
64680.dl2	64680dj3	64680.dl	64680dj	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{11} \cdot 3^{8} \cdot 5^{2} \cdot 7^{10} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$616$	$48$	$0$	$1$	$1$		$1$	$786432$	$2.227505$	$120186986927618/4332064275$	$0.92899$	$4.66906$	$[0, 1, 0, -639760, 190512608]$	\(y^2=x^3+x^2-639760x+190512608\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 28.12.0-4.c.1.1, 56.24.0-56.z.1.10, $\ldots$	$[]$
73920.dz2	73920fy3	73920.dz	73920fy	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{17} \cdot 3^{8} \cdot 5^{2} \cdot 7^{4} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$616$	$48$	$0$	$0.803882568$	$1$		$9$	$262144$	$1.601122$	$120186986927618/4332064275$	$0.92899$	$3.94297$	$[0, -1, 0, -52225, 4465825]$	\(y^2=x^3-x^2-52225x+4465825\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 44.12.0-4.c.1.1, 56.24.0-56.z.1.11, $\ldots$	$[(165, 560)]$
73920.gq2	73920dc3	73920.gq	73920dc	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{17} \cdot 3^{8} \cdot 5^{2} \cdot 7^{4} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$616$	$48$	$0$	$1.644931278$	$1$		$5$	$262144$	$1.601122$	$120186986927618/4332064275$	$0.92899$	$3.94297$	$[0, 1, 0, -52225, -4465825]$	\(y^2=x^3+x^2-52225x-4465825\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 44.12.0-4.c.1.2, 56.24.0-56.z.1.3, $\ldots$	$[(-115, 180)]$
92400.o2	92400b3	92400.o	92400b	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{11} \cdot 3^{8} \cdot 5^{8} \cdot 7^{4} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3080$	$48$	$0$	$4.132156317$	$1$		$3$	$786432$	$2.059269$	$120186986927618/4332064275$	$0.92899$	$4.34685$	$[0, -1, 0, -326408, 69615312]$	\(y^2=x^3-x^2-326408x+69615312\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 56.12.0.z.1, 88.12.0.?, $\ldots$	$[(1106, 32562)]$
101640.l2	101640f3	101640.l	101640f	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{11} \cdot 3^{8} \cdot 5^{2} \cdot 7^{4} \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$616$	$48$	$0$	$3.217678033$	$1$		$3$	$1966080$	$2.453495$	$120186986927618/4332064275$	$0.92899$	$4.72124$	$[0, -1, 0, -1579816, 740631916]$	\(y^2=x^3-x^2-1579816x+740631916\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 44.12.0-4.c.1.1, 56.24.0-56.z.1.6, $\ldots$	$[(-1439, 5670)]$
129360.ct2	129360bj3	129360.ct	129360bj	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{11} \cdot 3^{8} \cdot 5^{2} \cdot 7^{10} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$616$	$48$	$0$	$2.365021538$	$1$		$5$	$1572864$	$2.227505$	$120186986927618/4332064275$	$0.92899$	$4.39410$	$[0, -1, 0, -639760, -190512608]$	\(y^2=x^3-x^2-639760x-190512608\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 28.12.0-4.c.1.2, 56.24.0-56.z.1.2, $\ldots$	$[(-446, 2430)]$
138600.di2	138600bf3	138600.di	138600bf	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{11} \cdot 3^{14} \cdot 5^{8} \cdot 7^{4} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9240$	$48$	$0$	$1$	$1$		$1$	$3145728$	$2.608574$	$120186986927618/4332064275$	$0.92899$	$4.75474$	$[0, 0, 0, -2937675, 1876675750]$	\(y^2=x^3-2937675x+1876675750\)	2.3.0.a.1, 4.6.0.c.1, 56.12.0.z.1, 60.12.0-4.c.1.1, 88.12.0.?, $\ldots$	$[]$
194040.u2	194040ej4	194040.u	194040ej	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{11} \cdot 3^{14} \cdot 5^{2} \cdot 7^{10} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1848$	$48$	$0$	$9.166022810$	$1$		$1$	$6291456$	$2.776810$	$120186986927618/4332064275$	$0.92899$	$4.78915$	$[0, 0, 0, -5757843, -5149598258]$	\(y^2=x^3-5757843x-5149598258\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0.z.1, 84.12.0.?, $\ldots$	$[(456358/3, 307937854/3)]$
203280.ee2	203280fv4	203280.ee	203280fv	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{11} \cdot 3^{8} \cdot 5^{2} \cdot 7^{4} \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$616$	$48$	$0$	$1.077127211$	$1$		$7$	$3932160$	$2.453495$	$120186986927618/4332064275$	$0.92899$	$4.45349$	$[0, 1, 0, -1579816, -740631916]$	\(y^2=x^3+x^2-1579816x-740631916\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 44.12.0-4.c.1.2, 56.24.0-56.z.1.14, $\ldots$	$[(-796, 3630)]$
221760.cv2	221760ls3	221760.cv	221760ls	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{17} \cdot 3^{14} \cdot 5^{2} \cdot 7^{4} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1848$	$48$	$0$	$1.324422838$	$1$		$7$	$2097152$	$2.150429$	$120186986927618/4332064275$	$0.92899$	$4.12656$	$[0, 0, 0, -470028, 120107248]$	\(y^2=x^3-470028x+120107248\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 56.12.0.z.1, 88.12.0.?, $\ldots$	$[(158, 7056)]$
221760.ej2	221760ed4	221760.ej	221760ed	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{17} \cdot 3^{14} \cdot 5^{2} \cdot 7^{4} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1848$	$48$	$0$	$1$	$1$		$1$	$2097152$	$2.150429$	$120186986927618/4332064275$	$0.92899$	$4.12656$	$[0, 0, 0, -470028, -120107248]$	\(y^2=x^3-470028x-120107248\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 56.12.0.z.1, 88.12.0.?, $\ldots$	$[]$
277200.fo2	277200fo4	277200.fo	277200fo	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{11} \cdot 3^{14} \cdot 5^{8} \cdot 7^{4} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9240$	$48$	$0$	$4.204085682$	$1$		$5$	$6291456$	$2.608574$	$120186986927618/4332064275$	$0.92899$	$4.49176$	$[0, 0, 0, -2937675, -1876675750]$	\(y^2=x^3-2937675x-1876675750\)	2.3.0.a.1, 4.6.0.c.1, 56.12.0.z.1, 60.12.0-4.c.1.2, 88.12.0.?, $\ldots$	$[(-1081, 5978)]$
304920.eu2	304920eu4	304920.eu	304920eu	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{11} \cdot 3^{14} \cdot 5^{2} \cdot 7^{4} \cdot 11^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1848$	$48$	$0$	$1$	$1$		$1$	$15728640$	$3.002804$	$120186986927618/4332064275$	$0.92899$	$4.83249$	$[0, 0, 0, -14218347, -19982843386]$	\(y^2=x^3-14218347x-19982843386\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 56.12.0.z.1, 88.12.0.?, $\ldots$	$[]$
323400.cz2	323400cz3	323400.cz	323400cz	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{11} \cdot 3^{8} \cdot 5^{8} \cdot 7^{10} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3080$	$48$	$0$	$11.21111059$	$1$		$1$	$18874368$	$3.032223$	$120186986927618/4332064275$	$0.92899$	$4.83790$	$[0, -1, 0, -15994008, 23846064012]$	\(y^2=x^3-x^2-15994008x+23846064012\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 56.12.0.z.1, 88.12.0.?, $\ldots$	$[(782829/17, 97017264/17)]$
369600.hn2	369600hn4	369600.hn	369600hn	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{17} \cdot 3^{8} \cdot 5^{8} \cdot 7^{4} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3080$	$48$	$0$	$1$	$1$		$1$	$6291456$	$2.405842$	$120186986927618/4332064275$	$0.92899$	$4.20121$	$[0, -1, 0, -1305633, -555616863]$	\(y^2=x^3-x^2-1305633x-555616863\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.1, 56.12.0.z.1, 88.12.0.?, $\ldots$	$[]$
369600.pf2	369600pf3	369600.pf	369600pf	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{17} \cdot 3^{8} \cdot 5^{8} \cdot 7^{4} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3080$	$48$	$0$	$1$	$1$		$1$	$6291456$	$2.405842$	$120186986927618/4332064275$	$0.92899$	$4.20121$	$[0, 1, 0, -1305633, 555616863]$	\(y^2=x^3+x^2-1305633x+555616863\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.2, 56.12.0.z.1, 88.12.0.?, $\ldots$	$[]$
388080.gd2	388080gd3	388080.gd	388080gd	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{11} \cdot 3^{14} \cdot 5^{2} \cdot 7^{10} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1848$	$48$	$0$	$1$	$1$		$1$	$12582912$	$2.776810$	$120186986927618/4332064275$	$0.92899$	$4.53120$	$[0, 0, 0, -5757843, 5149598258]$	\(y^2=x^3-5757843x+5149598258\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0.z.1, 84.12.0.?, $\ldots$	$[]$