Elliptic curve search results

Results (24 matches)

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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
10890.k1	10890d1	10890.k	10890d	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{25} \cdot 3^{3} \cdot 5 \cdot 11^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$1$		$0$	$211200$	$2.265236$	$14934427706187/167772160$	$1.02328$	$5.68158$	$[1, -1, 0, -921135, 337188781]$	\(y^2+xy=x^3-x^2-921135x+337188781\)	120.2.0.?	$[ ]$
10890.p1	10890i1	10890.p	10890i	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{25} \cdot 3^{9} \cdot 5 \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$2.993429241$	$1$		$4$	$57600$	$1.615595$	$14934427706187/167772160$	$1.02328$	$4.84294$	$[1, -1, 0, -68514, 6852500]$	\(y^2+xy=x^3-x^2-68514x+6852500\)	120.2.0.?	$[(139, -56)]$
10890.bd1	10890bf1	10890.bd	10890bf	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{25} \cdot 3^{3} \cdot 5 \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$0.230656032$	$1$		$6$	$19200$	$1.066288$	$14934427706187/167772160$	$1.02328$	$4.13382$	$[1, -1, 1, -7613, -251259]$	\(y^2+xy+y=x^3-x^2-7613x-251259\)	120.2.0.?	$[(-49, 72)]$
10890.cd1	10890bj1	10890.cd	10890bj	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{25} \cdot 3^{9} \cdot 5 \cdot 11^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$1$		$0$	$633600$	$2.814541$	$14934427706187/167772160$	$1.02328$	$6.39070$	$[1, -1, 1, -8290217, -9095806871]$	\(y^2+xy+y=x^3-x^2-8290217x-9095806871\)	120.2.0.?	$[ ]$
54450.s1	54450n1	54450.s	54450n	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( 2^{25} \cdot 3^{9} \cdot 5^{7} \cdot 11^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$4$	$2$	$0$	$15206400$	$3.619263$	$14934427706187/167772160$	$1.02328$	$6.33304$	$[1, -1, 0, -207255417, -1137183114259]$	\(y^2+xy=x^3-x^2-207255417x-1137183114259\)	120.2.0.?	$[ ]$
54450.cw1	54450m1	54450.cw	54450m	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( 2^{25} \cdot 3^{3} \cdot 5^{7} \cdot 11^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$1$		$0$	$460800$	$1.871008$	$14934427706187/167772160$	$1.02328$	$4.40924$	$[1, -1, 0, -190317, -31597659]$	\(y^2+xy=x^3-x^2-190317x-31597659\)	120.2.0.?	$[ ]$
54450.er1	54450eg1	54450.er	54450eg	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( 2^{25} \cdot 3^{3} \cdot 5^{7} \cdot 11^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$0.232322288$	$1$		$8$	$5068800$	$3.069954$	$14934427706187/167772160$	$1.02328$	$5.72857$	$[1, -1, 1, -23028380, 42125569247]$	\(y^2+xy+y=x^3-x^2-23028380x+42125569247\)	120.2.0.?	$[(-2571, 291685)]$
54450.gs1	54450ef1	54450.gs	54450ef	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( 2^{25} \cdot 3^{9} \cdot 5^{7} \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$0.221146286$	$1$		$8$	$1382400$	$2.420315$	$14934427706187/167772160$	$1.02328$	$5.01370$	$[1, -1, 1, -1712855, 854849647]$	\(y^2+xy+y=x^3-x^2-1712855x+854849647\)	120.2.0.?	$[(2179, 85310)]$
87120.l1	87120dc1	87120.l	87120dc	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{37} \cdot 3^{3} \cdot 5 \cdot 11^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$6.421788170$	$1$		$0$	$5068800$	$2.958385$	$14934427706187/167772160$	$1.02328$	$5.37417$	$[0, 0, 0, -14738163, -21565343822]$	\(y^2=x^3-14738163x-21565343822\)	120.2.0.?	$[(-274623/11, 18513920/11)]$
87120.cr1	87120da1	87120.cr	87120da	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{37} \cdot 3^{3} \cdot 5 \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$4.123512781$	$1$		$2$	$460800$	$1.759436$	$14934427706187/167772160$	$1.02328$	$4.10935$	$[0, 0, 0, -121803, 16202362]$	\(y^2=x^3-121803x+16202362\)	120.2.0.?	$[(119, 1842)]$
87120.dn1	87120dp1	87120.dn	87120dp	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{37} \cdot 3^{9} \cdot 5 \cdot 11^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$1$		$0$	$15206400$	$3.507690$	$14934427706187/167772160$	$1.02328$	$5.95366$	$[0, 0, 0, -132643467, 582264283194]$	\(y^2=x^3-132643467x+582264283194\)	120.2.0.?	$[ ]$
87120.fy1	87120dn1	87120.fy	87120dn	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{37} \cdot 3^{9} \cdot 5 \cdot 11^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$4$	$2$	$0$	$1382400$	$2.308743$	$14934427706187/167772160$	$1.02328$	$4.68884$	$[0, 0, 0, -1096227, -437463774]$	\(y^2=x^3-1096227x-437463774\)	120.2.0.?	$[ ]$
348480.bc1	348480bc1	348480.bc	348480bc	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{43} \cdot 3^{9} \cdot 5 \cdot 11^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$1$		$0$	$11059200$	$2.655315$	$14934427706187/167772160$	$1.02328$	$4.50538$	$[0, 0, 0, -4384908, 3499710192]$	\(y^2=x^3-4384908x+3499710192\)	120.2.0.?	$[ ]$
348480.bs1	348480bs1	348480.bs	348480bs	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{43} \cdot 3^{9} \cdot 5 \cdot 11^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$29.68755785$	$1$		$0$	$121651200$	$3.854263$	$14934427706187/167772160$	$1.02328$	$5.63280$	$[0, 0, 0, -530573868, 4658114265552]$	\(y^2=x^3-530573868x+4658114265552\)	120.2.0.?	$[(61939528756044/80821, 365609860467763889232/80821)]$
348480.hf1	348480hf1	348480.hf	348480hf	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{43} \cdot 3^{9} \cdot 5 \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$9.500527204$	$1$		$0$	$11059200$	$2.655315$	$14934427706187/167772160$	$1.02328$	$4.50538$	$[0, 0, 0, -4384908, -3499710192]$	\(y^2=x^3-4384908x-3499710192\)	120.2.0.?	$[(-64256286/223, 32936951808/223)]$
348480.hv1	348480hv1	348480.hv	348480hv	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{43} \cdot 3^{9} \cdot 5 \cdot 11^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$1$		$0$	$121651200$	$3.854263$	$14934427706187/167772160$	$1.02328$	$5.63280$	$[0, 0, 0, -530573868, -4658114265552]$	\(y^2=x^3-530573868x-4658114265552\)	120.2.0.?	$[ ]$
348480.ka1	348480ka1	348480.ka	348480ka	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{43} \cdot 3^{3} \cdot 5 \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$4.941822188$	$1$		$0$	$3686400$	$2.106010$	$14934427706187/167772160$	$1.02328$	$3.98884$	$[0, 0, 0, -487212, -129618896]$	\(y^2=x^3-487212x-129618896\)	120.2.0.?	$[(99014/11, 5898240/11)]$
348480.km1	348480km1	348480.km	348480km	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{43} \cdot 3^{3} \cdot 5 \cdot 11^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$1$		$0$	$40550400$	$3.304958$	$14934427706187/167772160$	$1.02328$	$5.11626$	$[0, 0, 0, -58952652, -172522750576]$	\(y^2=x^3-58952652x-172522750576\)	120.2.0.?	$[ ]$
348480.py1	348480py1	348480.py	348480py	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{43} \cdot 3^{3} \cdot 5 \cdot 11^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$1$		$0$	$3686400$	$2.106010$	$14934427706187/167772160$	$1.02328$	$3.98884$	$[0, 0, 0, -487212, 129618896]$	\(y^2=x^3-487212x+129618896\)	120.2.0.?	$[ ]$
348480.qk1	348480qk1	348480.qk	348480qk	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{43} \cdot 3^{3} \cdot 5 \cdot 11^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$28.60805299$	$1$		$0$	$40550400$	$3.304958$	$14934427706187/167772160$	$1.02328$	$5.11626$	$[0, 0, 0, -58952652, 172522750576]$	\(y^2=x^3-58952652x+172522750576\)	120.2.0.?	$[(3973591159685/34309, 4420852517118731961/34309)]$
435600.da1	435600da1	435600.da	435600da	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( 2^{37} \cdot 3^{9} \cdot 5^{7} \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$4.948028406$	$1$		$2$	$33177600$	$3.113461$	$14934427706187/167772160$	$1.02328$	$4.85136$	$[0, 0, 0, -27405675, -54682971750]$	\(y^2=x^3-27405675x-54682971750\)	120.2.0.?	$[(-3065, 22850)]$
435600.db1	435600db1	435600.db	435600db	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( 2^{37} \cdot 3^{3} \cdot 5^{7} \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1.937031805$	$1$		$4$	$11059200$	$2.564156$	$14934427706187/167772160$	$1.02328$	$4.34370$	$[0, 0, 0, -3045075, 2025295250]$	\(y^2=x^3-3045075x+2025295250\)	120.2.0.?	$[(18265, 2457600)]$
435600.rp1	435600rp1	435600.rp	435600rp	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( 2^{37} \cdot 3^{3} \cdot 5^{7} \cdot 11^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$39.21453207$	$1$		$0$	$121651200$	$3.763103$	$14934427706187/167772160$	$1.02328$	$5.45175$	$[0, 0, 0, -368454075, -2695667977750]$	\(y^2=x^3-368454075x-2695667977750\)	120.2.0.?	$[(-274307971220266319/4897934, 17580888464562543307374321/4897934)]$
435600.rq1	435600rq1	435600.rq	435600rq	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( 2^{37} \cdot 3^{9} \cdot 5^{7} \cdot 11^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$2.777525217$	$1$		$0$	$364953600$	$4.312408$	$14934427706187/167772160$	$1.02328$	$5.95940$	$[0, 0, 0, -3316086675, 72783035399250]$	\(y^2=x^3-3316086675x+72783035399250\)	120.2.0.?	$[(-2905815/7, 2676326400/7)]$

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