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
5610.p1	5610p1	5610.p	5610p	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{15} \cdot 3^{15} \cdot 5^{11} \cdot 11 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$22440$	$2$	$0$	$1$	$1$		$0$	$673200$	$3.187794$	$-45100802713464654722769650329/4293192974400000000000$	$1.03716$	$7.64325$	$[1, 0, 1, -74157234, 245812062532]$	\(y^2+xy+y=x^3-74157234x+245812062532\)	22440.2.0.?	$[]$
16830.cw1	16830cm1	16830.cw	16830cm	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{15} \cdot 3^{21} \cdot 5^{11} \cdot 11 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$1$	$1$		$0$	$5385600$	$3.737099$	$-45100802713464654722769650329/4293192974400000000000$	$1.03716$	$7.45773$	$[1, -1, 1, -667415102, -6636925688371]$	\(y^2+xy+y=x^3-x^2-667415102x-6636925688371\)	22440.2.0.?	$[]$
28050.cb1	28050cg1	28050.cb	28050cg	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{15} \cdot 3^{15} \cdot 5^{17} \cdot 11 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$1.736706637$	$1$		$4$	$16156800$	$3.992512$	$-45100802713464654722769650329/4293192974400000000000$	$1.03716$	$7.38502$	$[1, 1, 1, -1853930838, 30726507816531]$	\(y^2+xy+y=x^3+x^2-1853930838x+30726507816531\)	22440.2.0.?	$[(3105, 4998447)]$
44880.d1	44880bg1	44880.d	44880bg	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{27} \cdot 3^{15} \cdot 5^{11} \cdot 11 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$63.05031964$	$1$		$0$	$16156800$	$3.880939$	$-45100802713464654722769650329/4293192974400000000000$	$1.03716$	$6.93600$	$[0, -1, 0, -1186515736, -15731972002064]$	\(y^2=x^3-x^2-1186515736x-15731972002064\)	22440.2.0.?	$[(101360043192101029978053230348/1196186513239, 27368414248373519774580555398097443675894784/1196186513239)]$
61710.cf1	61710cl1	61710.cf	61710cl	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2^{15} \cdot 3^{15} \cdot 5^{11} \cdot 11^{7} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$1$	$1$		$0$	$80784000$	$4.386742$	$-45100802713464654722769650329/4293192974400000000000$	$1.03716$	$7.28602$	$[1, 0, 0, -8973025256, -327184828255680]$	\(y^2+xy=x^3-8973025256x-327184828255680\)	22440.2.0.?	$[]$
84150.p1	84150bx1	84150.p	84150bx	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{15} \cdot 3^{21} \cdot 5^{17} \cdot 11 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$73.78334823$	$1$		$0$	$129254400$	$4.541817$	$-45100802713464654722769650329/4293192974400000000000$	$1.03716$	$7.25084$	$[1, -1, 0, -16685377542, -829632396423884]$	\(y^2+xy=x^3-x^2-16685377542x-829632396423884\)	22440.2.0.?	$[(101318575639160370422554805834587049/101917546860671, 32242282504414268509387336875045445573748789315737723/101917546860671)]$
95370.n1	95370r1	95370.n	95370r	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17^{2} \)	\( - 2^{15} \cdot 3^{15} \cdot 5^{11} \cdot 11 \cdot 17^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$1$	$1$		$0$	$193881600$	$4.604401$	$-45100802713464654722769650329/4293192974400000000000$	$1.03716$	$7.23719$	$[1, 1, 0, -21431440487, 1207696094661429]$	\(y^2+xy=x^3+x^2-21431440487x+1207696094661429\)	22440.2.0.?	$[]$
134640.dk1	134640h1	134640.dk	134640h	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{27} \cdot 3^{21} \cdot 5^{11} \cdot 11 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$1.997532561$	$1$		$0$	$129254400$	$4.430244$	$-45100802713464654722769650329/4293192974400000000000$	$1.03716$	$6.84893$	$[0, 0, 0, -10678641627, 424773922697354]$	\(y^2=x^3-10678641627x+424773922697354\)	22440.2.0.?	$[(252937/2, 12301875/2)]$
179520.dz1	179520hk1	179520.dz	179520hk	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{33} \cdot 3^{15} \cdot 5^{11} \cdot 11 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$4.077517836$	$1$		$2$	$129254400$	$4.227516$	$-45100802713464654722769650329/4293192974400000000000$	$1.03716$	$6.48498$	$[0, -1, 0, -4746062945, 125860522079457]$	\(y^2=x^3-x^2-4746062945x+125860522079457\)	22440.2.0.?	$[(51049, 4075520)]$
179520.gm1	179520d1	179520.gm	179520d	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{33} \cdot 3^{15} \cdot 5^{11} \cdot 11 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$1$	$1$		$0$	$129254400$	$4.227516$	$-45100802713464654722769650329/4293192974400000000000$	$1.03716$	$6.48498$	$[0, 1, 0, -4746062945, -125860522079457]$	\(y^2=x^3+x^2-4746062945x-125860522079457\)	22440.2.0.?	$[]$
185130.bn1	185130cv1	185130.bn	185130cv	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2^{15} \cdot 3^{21} \cdot 5^{11} \cdot 11^{7} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$2.282663125$	$1$		$2$	$646272000$	$4.936043$	$-45100802713464654722769650329/4293192974400000000000$	$1.03716$	$7.16953$	$[1, -1, 0, -80757227304, 8833990362903360]$	\(y^2+xy=x^3-x^2-80757227304x+8833990362903360\)	22440.2.0.?	$[(164871, 938502)]$
224400.ia1	224400cv1	224400.ia	224400cv	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{27} \cdot 3^{15} \cdot 5^{17} \cdot 11 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$15.68829246$	$1$		$0$	$387763200$	$4.685661$	$-45100802713464654722769650329/4293192974400000000000$	$1.03716$	$6.81373$	$[0, 1, 0, -29662893408, -1966555826044812]$	\(y^2=x^3+x^2-29662893408x-1966555826044812\)	22440.2.0.?	$[(14574631212/77, 1755088362656250/77)]$
274890.bm1	274890bm1	274890.bm	274890bm	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \)	\( - 2^{15} \cdot 3^{15} \cdot 5^{11} \cdot 7^{6} \cdot 11 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$1$	$1$		$0$	$222156000$	$4.160744$	$-45100802713464654722769650329/4293192974400000000000$	$1.03716$	$6.20038$	$[1, 1, 0, -3633704442, -84317171153004]$	\(y^2+xy=x^3+x^2-3633704442x-84317171153004\)	22440.2.0.?	$[]$
286110.dv1	286110dv1	286110.dv	286110dv	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \)	\( - 2^{15} \cdot 3^{21} \cdot 5^{11} \cdot 11 \cdot 17^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$1$	$1$		$0$	$1551052800$	$5.153702$	$-45100802713464654722769650329/4293192974400000000000$	$1.03716$	$7.12901$	$[1, -1, 1, -192882964388, -32607987438822969]$	\(y^2+xy+y=x^3-x^2-192882964388x-32607987438822969\)	22440.2.0.?	$[]$
308550.ci1	308550ci1	308550.ci	308550ci	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \)	\( - 2^{15} \cdot 3^{15} \cdot 5^{17} \cdot 11^{7} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$204.7810210$	$1$		$0$	$1938816000$	$5.191460$	$-45100802713464654722769650329/4293192974400000000000$	$1.03716$	$7.12227$	$[1, 1, 0, -224325631400, -40898103531960000]$	\(y^2+xy=x^3+x^2-224325631400x-40898103531960000\)	22440.2.0.?	$[(32327562456284106810319983341609667000141044286153778327754948018224995020151254997577577635/3668899589416704671110100432896969198368683, 179859774456581732648803510652543769558694938719175909741510755116792946647471984773545925601026723884534458140361592417588166386322905460/3668899589416704671110100432896969198368683)]$
476850.kf1	476850kf1	476850.kf	476850kf	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( - 2^{15} \cdot 3^{15} \cdot 5^{17} \cdot 11 \cdot 17^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$0.811204532$	$1$		$6$	$4653158400$	$5.409119$	$-45100802713464654722769650329/4293192974400000000000$	$1.03716$	$7.08490$	$[1, 0, 0, -535786012188, 150963083404702992]$	\(y^2+xy=x^3-535786012188x+150963083404702992\)	22440.2.0.?	$[(410472, 13840164)]$
493680.bt1	493680bt1	493680.bt	493680bt	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2^{27} \cdot 3^{15} \cdot 5^{11} \cdot 11^{7} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$43.42525015$	$1$		$0$	$1938816000$	$5.079887$	$-45100802713464654722769650329/4293192974400000000000$	$1.03716$	$6.76479$	$[0, -1, 0, -143568404096, 20939829008363520]$	\(y^2=x^3-x^2-143568404096x+20939829008363520\)	22440.2.0.?	$[(1273941715911631018426/75899875, 1020815959368232616061408477674/75899875)]$