Elliptic curve search results

Results (27 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
1110.l1	1110l1	1110.l	1110l	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 37 \)	\( - 2^{3} \cdot 3^{3} \cdot 5^{2} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$888$	$2$	$0$	$1$	$1$		$0$	$432$	$0.249322$	$-71581931663761/199800$	$0.94955$	$4.54954$	$[1, 1, 1, -865, -10153]$	\(y^2+xy+y=x^3+x^2-865x-10153\)	888.2.0.?	$[]$
3330.e1	3330h1	3330.e	3330h	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \)	\( - 2^{3} \cdot 3^{9} \cdot 5^{2} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$888$	$2$	$0$	$0.414237448$	$1$		$4$	$3456$	$0.798629$	$-71581931663761/199800$	$0.94955$	$4.74600$	$[1, -1, 0, -7785, 266341]$	\(y^2+xy=x^3-x^2-7785x+266341\)	888.2.0.?	$[(53, -4)]$
5550.m1	5550n1	5550.m	5550n	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \)	\( - 2^{3} \cdot 3^{3} \cdot 5^{8} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$888$	$2$	$0$	$1$	$1$		$0$	$10368$	$1.054041$	$-71581931663761/199800$	$0.94955$	$4.82030$	$[1, 0, 1, -21626, -1225852]$	\(y^2+xy+y=x^3-21626x-1225852\)	888.2.0.?	$[]$
8880.y1	8880bb1	8880.y	8880bb	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 37 \)	\( - 2^{15} \cdot 3^{3} \cdot 5^{2} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$888$	$2$	$0$	$0.153785069$	$1$		$8$	$10368$	$0.942470$	$-71581931663761/199800$	$0.94955$	$4.42384$	$[0, 1, 0, -13840, 622100]$	\(y^2=x^3+x^2-13840x+622100\)	888.2.0.?	$[(50, 240)]$
16650.bs1	16650ca1	16650.bs	16650ca	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 37 \)	\( - 2^{3} \cdot 3^{9} \cdot 5^{8} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$888$	$2$	$0$	$0.385240755$	$1$		$6$	$82944$	$1.603348$	$-71581931663761/199800$	$0.94955$	$4.95364$	$[1, -1, 1, -194630, 33097997]$	\(y^2+xy+y=x^3-x^2-194630x+33097997\)	888.2.0.?	$[(279, 535)]$
26640.f1	26640bi1	26640.f	26640bi	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \)	\( - 2^{15} \cdot 3^{9} \cdot 5^{2} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$888$	$2$	$0$	$1$	$1$		$0$	$82944$	$1.491776$	$-71581931663761/199800$	$0.94955$	$4.59377$	$[0, 0, 0, -124563, -16921262]$	\(y^2=x^3-124563x-16921262\)	888.2.0.?	$[]$
35520.e1	35520br1	35520.e	35520br	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 37 \)	\( - 2^{21} \cdot 3^{3} \cdot 5^{2} \cdot 37 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$888$	$2$	$0$	$0.859002502$	$1$		$14$	$82944$	$1.289043$	$-71581931663761/199800$	$0.94955$	$4.23546$	$[0, -1, 0, -55361, 5032161]$	\(y^2=x^3-x^2-55361x+5032161\)	888.2.0.?	$[(133, 64), (136, 5)]$
35520.cc1	35520x1	35520.cc	35520x	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 37 \)	\( - 2^{21} \cdot 3^{3} \cdot 5^{2} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$888$	$2$	$0$	$1$	$1$		$0$	$82944$	$1.289043$	$-71581931663761/199800$	$0.94955$	$4.23546$	$[0, 1, 0, -55361, -5032161]$	\(y^2=x^3+x^2-55361x-5032161\)	888.2.0.?	$[]$
41070.g1	41070d1	41070.g	41070d	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \)	\( - 2^{3} \cdot 3^{3} \cdot 5^{2} \cdot 37^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$888$	$2$	$0$	$13.36665769$	$1$		$0$	$590976$	$2.054783$	$-71581931663761/199800$	$0.94955$	$5.04257$	$[1, 1, 0, -1184213, -496507707]$	\(y^2+xy=x^3+x^2-1184213x-496507707\)	888.2.0.?	$[(36517909/161, 102124120918/161)]$
44400.bk1	44400y1	44400.bk	44400y	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 37 \)	\( - 2^{15} \cdot 3^{3} \cdot 5^{8} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$888$	$2$	$0$	$1$	$1$		$0$	$248832$	$1.747189$	$-71581931663761/199800$	$0.94955$	$4.66090$	$[0, -1, 0, -346008, 78454512]$	\(y^2=x^3-x^2-346008x+78454512\)	888.2.0.?	$[]$
54390.ct1	54390cq1	54390.ct	54390cq	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \)	\( - 2^{3} \cdot 3^{3} \cdot 5^{2} \cdot 7^{6} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$888$	$2$	$0$	$0.618355303$	$1$		$4$	$142560$	$1.222277$	$-71581931663761/199800$	$0.94955$	$3.99648$	$[1, 0, 0, -42386, 3355260]$	\(y^2+xy=x^3-42386x+3355260\)	888.2.0.?	$[(118, -74)]$
106560.eb1	106560fv1	106560.eb	106560fv	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 37 \)	\( - 2^{21} \cdot 3^{9} \cdot 5^{2} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$888$	$2$	$0$	$1$	$1$		$0$	$663552$	$1.838348$	$-71581931663761/199800$	$0.94955$	$4.40292$	$[0, 0, 0, -498252, -135370096]$	\(y^2=x^3-498252x-135370096\)	888.2.0.?	$[]$
106560.gc1	106560ct1	106560.gc	106560ct	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 37 \)	\( - 2^{21} \cdot 3^{9} \cdot 5^{2} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$888$	$2$	$0$	$0.998728970$	$1$		$2$	$663552$	$1.838348$	$-71581931663761/199800$	$0.94955$	$4.40292$	$[0, 0, 0, -498252, 135370096]$	\(y^2=x^3-498252x+135370096\)	888.2.0.?	$[(392, 540)]$
123210.dn1	123210dm1	123210.dn	123210dm	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \)	\( - 2^{3} \cdot 3^{9} \cdot 5^{2} \cdot 37^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$888$	$2$	$0$	$1$	$1$		$0$	$4727808$	$2.604088$	$-71581931663761/199800$	$0.94955$	$5.13230$	$[1, -1, 1, -10657922, 13395050169]$	\(y^2+xy+y=x^3-x^2-10657922x+13395050169\)	888.2.0.?	$[]$
133200.ga1	133200dl1	133200.ga	133200dl	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 37 \)	\( - 2^{15} \cdot 3^{9} \cdot 5^{8} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$888$	$2$	$0$	$8.925899656$	$1$		$0$	$1990656$	$2.296494$	$-71581931663761/199800$	$0.94955$	$4.78558$	$[0, 0, 0, -3114075, -2115157750]$	\(y^2=x^3-3114075x-2115157750\)	888.2.0.?	$[(203165/7, 81350800/7)]$
134310.o1	134310ce1	134310.o	134310ce	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 37 \)	\( - 2^{3} \cdot 3^{3} \cdot 5^{2} \cdot 11^{6} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$888$	$2$	$0$	$1$	$1$		$0$	$617760$	$1.448271$	$-71581931663761/199800$	$0.94955$	$3.92019$	$[1, 1, 0, -104667, 12990069]$	\(y^2+xy=x^3+x^2-104667x+12990069\)	888.2.0.?	$[]$
163170.cj1	163170dj1	163170.cj	163170dj	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 37 \)	\( - 2^{3} \cdot 3^{9} \cdot 5^{2} \cdot 7^{6} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$888$	$2$	$0$	$7.163990008$	$1$		$2$	$1140480$	$1.771584$	$-71581931663761/199800$	$0.94955$	$4.17986$	$[1, -1, 0, -381474, -90592020]$	\(y^2+xy=x^3-x^2-381474x-90592020\)	888.2.0.?	$[(19401, 2691177)]$
177600.t1	177600ia1	177600.t	177600ia	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \)	\( - 2^{21} \cdot 3^{3} \cdot 5^{8} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$888$	$2$	$0$	$1$	$1$		$0$	$1990656$	$2.093761$	$-71581931663761/199800$	$0.94955$	$4.47041$	$[0, -1, 0, -1384033, -626252063]$	\(y^2=x^3-x^2-1384033x-626252063\)	888.2.0.?	$[]$
177600.it1	177600bz1	177600.it	177600bz	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \)	\( - 2^{21} \cdot 3^{3} \cdot 5^{8} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$888$	$2$	$0$	$1$	$1$		$0$	$1990656$	$2.093761$	$-71581931663761/199800$	$0.94955$	$4.47041$	$[0, 1, 0, -1384033, 626252063]$	\(y^2=x^3+x^2-1384033x+626252063\)	888.2.0.?	$[]$
187590.b1	187590co1	187590.b	187590co	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 37 \)	\( - 2^{3} \cdot 3^{3} \cdot 5^{2} \cdot 13^{6} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$888$	$2$	$0$	$11.13915847$	$1$		$2$	$1010880$	$1.531797$	$-71581931663761/199800$	$0.94955$	$3.89487$	$[1, 1, 0, -146188, -21574808]$	\(y^2+xy=x^3+x^2-146188x-21574808\)	888.2.0.?	$[(153651, 60151877)]$
205350.dn1	205350p1	205350.dn	205350p	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 37^{2} \)	\( - 2^{3} \cdot 3^{3} \cdot 5^{8} \cdot 37^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$888$	$2$	$0$	$6.201402619$	$1$		$2$	$14183424$	$2.859501$	$-71581931663761/199800$	$0.94955$	$5.16854$	$[1, 0, 0, -29605338, -62004252708]$	\(y^2+xy=x^3-29605338x-62004252708\)	888.2.0.?	$[(740262, 636522894)]$
271950.bn1	271950bn1	271950.bn	271950bn	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \)	\( - 2^{3} \cdot 3^{3} \cdot 5^{8} \cdot 7^{6} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$888$	$2$	$0$	$1$	$1$		$0$	$3421440$	$2.026997$	$-71581931663761/199800$	$0.94955$	$4.25417$	$[1, 1, 0, -1059650, 419407500]$	\(y^2+xy=x^3+x^2-1059650x+419407500\)	888.2.0.?	$[]$
320790.cg1	320790cg1	320790.cg	320790cg	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 17^{2} \cdot 37 \)	\( - 2^{3} \cdot 3^{3} \cdot 5^{2} \cdot 17^{6} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$888$	$2$	$0$	$5.343394309$	$1$		$2$	$2232576$	$1.665930$	$-71581931663761/199800$	$0.94955$	$3.85700$	$[1, 0, 0, -249991, -48130879]$	\(y^2+xy=x^3-249991x-48130879\)	888.2.0.?	$[(1256, 39617)]$
328560.bp1	328560bp1	328560.bp	328560bp	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 37^{2} \)	\( - 2^{15} \cdot 3^{3} \cdot 5^{2} \cdot 37^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$888$	$2$	$0$	$1.190072785$	$1$		$4$	$14183424$	$2.747929$	$-71581931663761/199800$	$0.94955$	$4.87190$	$[0, 1, 0, -18947416, 31738598420]$	\(y^2=x^3+x^2-18947416x+31738598420\)	888.2.0.?	$[(2972, 41070)]$
400710.z1	400710z1	400710.z	400710z	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 37 \)	\( - 2^{3} \cdot 3^{3} \cdot 5^{2} \cdot 19^{6} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$888$	$2$	$0$	$1$	$1$		$0$	$2916000$	$1.721542$	$-71581931663761/199800$	$0.94955$	$3.84222$	$[1, 0, 1, -312273, 67140028]$	\(y^2+xy+y=x^3-312273x+67140028\)	888.2.0.?	$[]$
402930.cx1	402930cx1	402930.cx	402930cx	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 37 \)	\( - 2^{3} \cdot 3^{9} \cdot 5^{2} \cdot 11^{6} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$888$	$2$	$0$	$10.01468216$	$1$		$0$	$4942080$	$1.997576$	$-71581931663761/199800$	$0.94955$	$4.09723$	$[1, -1, 1, -942008, -351673869]$	\(y^2+xy+y=x^3-x^2-942008x-351673869\)	888.2.0.?	$[(210575/7, 93167061/7)]$
435120.q1	435120q1	435120.q	435120q	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \)	\( - 2^{15} \cdot 3^{3} \cdot 5^{2} \cdot 7^{6} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$888$	$2$	$0$	$1$	$1$		$0$	$3421440$	$1.915424$	$-71581931663761/199800$	$0.94955$	$3.99704$	$[0, -1, 0, -678176, -214736640]$	\(y^2=x^3-x^2-678176x-214736640\)	888.2.0.?	$[]$