Elliptic curve search results

Results (15 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
4730.d2	4730k2	4730.d	4730k	$2$	$7$	\( 2 \cdot 5 \cdot 11 \cdot 43 \)	\( - 2 \cdot 5 \cdot 11 \cdot 43^{14} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$7$	7.48.0.5	7B.1.3	$3080$	$96$	$2$	$6.874401136$	$1$		$0$	$1536640$	$3.466187$	$7154705394529607961737582319/8127389307855235414199390$	$1.04985$	$7.57977$	$[1, -1, 1, 40144188, -96077802411]$	\(y^2+xy+y=x^3-x^2+40144188x-96077802411\)	7.48.0-7.a.2.2, 440.2.0.?, 3080.96.2.?	$[(188049061/252, 3509939761201/252)]$
23650.j2	23650f2	23650.j	23650f	$2$	$7$	\( 2 \cdot 5^{2} \cdot 11 \cdot 43 \)	\( - 2 \cdot 5^{7} \cdot 11 \cdot 43^{14} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$3080$	$96$	$2$	$1$	$49$	$7$	$0$	$36879360$	$4.270905$	$7154705394529607961737582319/8127389307855235414199390$	$1.04985$	$7.32731$	$[1, -1, 0, 1003604708, -12008721696634]$	\(y^2+xy=x^3-x^2+1003604708x-12008721696634\)	7.24.0.a.2, 35.48.0-7.a.2.1, 440.2.0.?, 616.48.0.?, 3080.96.2.?	$[]$
37840.bd2	37840w2	37840.bd	37840w	$2$	$7$	\( 2^{4} \cdot 5 \cdot 11 \cdot 43 \)	\( - 2^{13} \cdot 5 \cdot 11 \cdot 43^{14} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$3080$	$96$	$2$	$55.28043252$	$1$		$0$	$36879360$	$4.159332$	$7154705394529607961737582319/8127389307855235414199390$	$1.04985$	$6.87359$	$[0, 0, 0, 642307013, 6148337047274]$	\(y^2=x^3+642307013x+6148337047274\)	7.24.0.a.2, 28.48.0-7.a.2.1, 440.2.0.?, 3080.96.2.?	$[(2893270315940438631955165/9873272427, 6897420859857303362387644158182715016/9873272427)]$
42570.i2	42570g2	42570.i	42570g	$2$	$7$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 43 \)	\( - 2 \cdot 3^{6} \cdot 5 \cdot 11 \cdot 43^{14} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$9240$	$96$	$2$	$10.33508577$	$1$		$0$	$21512960$	$4.015495$	$7154705394529607961737582319/8127389307855235414199390$	$1.04985$	$6.63569$	$[1, -1, 0, 361297695, 2593739367395]$	\(y^2+xy=x^3-x^2+361297695x+2593739367395\)	7.24.0.a.2, 21.48.0-7.a.2.2, 440.2.0.?, 3080.48.2.?, 9240.96.2.?	$[(-51230687/99, 730174322906/99)]$
52030.a2	52030m2	52030.a	52030m	$2$	$7$	\( 2 \cdot 5 \cdot 11^{2} \cdot 43 \)	\( - 2 \cdot 5 \cdot 11^{7} \cdot 43^{14} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$3080$	$96$	$2$	$20.47921609$	$1$		$0$	$184396800$	$4.665131$	$7154705394529607961737582319/8127389307855235414199390$	$1.04985$	$7.23094$	$[1, -1, 0, 4857446786, 127864982668330]$	\(y^2+xy=x^3-x^2+4857446786x+127864982668330\)	7.24.0.a.2, 77.48.0.?, 280.48.0.?, 440.2.0.?, 3080.96.2.?	$[(-59626001/426, 868727318627819/426)]$
151360.c2	151360b2	151360.c	151360b	$2$	$7$	\( 2^{6} \cdot 5 \cdot 11 \cdot 43 \)	\( - 2^{19} \cdot 5 \cdot 11 \cdot 43^{14} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$3080$	$96$	$2$	$1$	$1$		$0$	$295034880$	$4.505905$	$7154705394529607961737582319/8127389307855235414199390$	$1.04985$	$6.42337$	$[0, 0, 0, 2569228052, 49186696378192]$	\(y^2=x^3+2569228052x+49186696378192\)	7.24.0.a.2, 56.48.0-7.a.2.2, 440.2.0.?, 1540.48.0.?, 3080.96.2.?	$[]$
151360.cy2	151360da2	151360.cy	151360da	$2$	$7$	\( 2^{6} \cdot 5 \cdot 11 \cdot 43 \)	\( - 2^{19} \cdot 5 \cdot 11 \cdot 43^{14} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$3080$	$96$	$2$	$118.6021948$	$1$		$0$	$295034880$	$4.505905$	$7154705394529607961737582319/8127389307855235414199390$	$1.04985$	$6.42337$	$[0, 0, 0, 2569228052, -49186696378192]$	\(y^2=x^3+2569228052x-49186696378192\)	7.24.0.a.2, 56.48.0-7.a.2.1, 440.2.0.?, 770.48.0.?, 3080.96.2.?	$[(5453668254781311594652319855755472521057379529622790344582/509773802754053765014958367, 495220548015480272771809393570980670555906515165469413364541885631052369318867175783008/509773802754053765014958367)]$
189200.d2	189200c2	189200.d	189200c	$2$	$7$	\( 2^{4} \cdot 5^{2} \cdot 11 \cdot 43 \)	\( - 2^{13} \cdot 5^{7} \cdot 11 \cdot 43^{14} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$3080$	$96$	$2$	$7.302239306$	$1$		$2$	$885104640$	$4.964050$	$7154705394529607961737582319/8127389307855235414199390$	$1.04985$	$6.75787$	$[0, 0, 0, 16057675325, 768542130909250]$	\(y^2=x^3+16057675325x+768542130909250\)	7.24.0.a.2, 140.48.0.?, 440.2.0.?, 616.48.0.?, 3080.96.2.?	$[(142670, 77223700)]$
203390.l2	203390r2	203390.l	203390r	$2$	$7$	\( 2 \cdot 5 \cdot 11 \cdot 43^{2} \)	\( - 2 \cdot 5 \cdot 11 \cdot 43^{20} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$132440$	$96$	$2$	$630.8147924$	$1$		$0$	$2839710720$	$5.346786$	$7154705394529607961737582319/8127389307855235414199390$	$1.04985$	$7.09364$	$[1, -1, 0, 74226604190, 7638041343624170]$	\(y^2+xy=x^3-x^2+74226604190x+7638041343624170\)	7.24.0.a.2, 301.48.0.?, 440.2.0.?, 3080.48.2.?, 132440.96.2.?	$[(333413139675905633279676735157042449445938762415947717015323417891630812509729854821981293537562184332951411173583016451967084773682428421632458335472402945370238955564301705740720159579249818976010861244681107067543032297286471919089254614460383523357927212330527621544640907/585067039545872406139941296451493758496468283584230826376475683486736843422369949031618732166649074859252689842326619888620816779549583, 200575692540790501578391479697131958849892625378136400852095800529588340196822557258696188816873585592042673819318780209880620548109736119264464024373219295273911604561632248128725938943613429148997931837756778107863499905738971711135157626312809542889011187735152387564279128400282801302282320790194773368074342654556579061088070121490495049462817299405541501245480532199768252347082277644524559529723420191522521/585067039545872406139941296451493758496468283584230826376475683486736843422369949031618732166649074859252689842326619888620816779549583)]$
212850.cf2	212850v2	212850.cf	212850v	$2$	$7$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 43 \)	\( - 2 \cdot 3^{6} \cdot 5^{7} \cdot 11 \cdot 43^{14} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$9240$	$96$	$2$	$104.0384723$	$1$		$0$	$516311040$	$4.820213$	$7154705394529607961737582319/8127389307855235414199390$	$1.04985$	$6.55230$	$[1, -1, 1, 9032442370, 324226453366747]$	\(y^2+xy+y=x^3-x^2+9032442370x+324226453366747\)	7.24.0.a.2, 105.48.0.?, 440.2.0.?, 1848.48.0.?, 3080.48.2.?, $\ldots$	$[(260213630791888576626322870582698058977126007706051/222700864256024988261082, 212930923701100449340574218555586175583283779934511220701697093004850950751625/222700864256024988261082)]$
231770.co2	231770co2	231770.co	231770co	$2$	$7$	\( 2 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 43 \)	\( - 2 \cdot 5 \cdot 7^{6} \cdot 11 \cdot 43^{14} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.48.0.2	7B.1.4	$3080$	$96$	$2$	$87.59921444$	$1$		$0$	$580849920$	$4.439140$	$7154705394529607961737582319/8127389307855235414199390$	$1.04985$	$6.13697$	$[1, -1, 1, 1967065227, 32950752096427]$	\(y^2+xy+y=x^3-x^2+1967065227x+32950752096427\)	7.48.0-7.a.2.1, 440.2.0.?, 3080.96.2.?	$[(18037483684326081906903981797923243750545685/29979994943177781132, 241507175096697549498802024828770991966107987190934821086229785779/29979994943177781132)]$
260150.cx2	260150cx2	260150.cx	260150cx	$2$	$7$	\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 43 \)	\( - 2 \cdot 5^{7} \cdot 11^{7} \cdot 43^{14} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$3080$	$96$	$2$	$1$	$16$	$2$	$0$	$4425523200$	$5.469856$	$7154705394529607961737582319/8127389307855235414199390$	$1.04985$	$7.07206$	$[1, -1, 1, 121436169645, 15983244269710897]$	\(y^2+xy+y=x^3-x^2+121436169645x+15983244269710897\)	7.24.0.a.2, 56.48.0-7.a.2.5, 385.48.0.?, 440.2.0.?, 3080.96.2.?	$[]$
340560.s2	340560s2	340560.s	340560s	$2$	$7$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 43 \)	\( - 2^{13} \cdot 3^{6} \cdot 5 \cdot 11 \cdot 43^{14} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$9240$	$96$	$2$	$1$	$49$	$7$	$0$	$516311040$	$4.708641$	$7154705394529607961737582319/8127389307855235414199390$	$1.04985$	$6.20544$	$[0, 0, 0, 5780763117, -166005100276398]$	\(y^2=x^3+5780763117x-166005100276398\)	7.24.0.a.2, 84.48.0.?, 440.2.0.?, 3080.48.2.?, 9240.96.2.?	$[]$
416240.co2	416240co2	416240.co	416240co	$2$	$7$	\( 2^{4} \cdot 5 \cdot 11^{2} \cdot 43 \)	\( - 2^{13} \cdot 5 \cdot 11^{7} \cdot 43^{14} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$3080$	$96$	$2$	$61.33663928$	$1$		$0$	$4425523200$	$5.358284$	$7154705394529607961737582319/8127389307855235414199390$	$1.04985$	$6.71169$	$[0, 0, 0, 77719148573, -8183436609921694]$	\(y^2=x^3+77719148573x-8183436609921694\)	7.24.0.a.2, 280.48.0.?, 308.48.0.?, 440.2.0.?, 3080.96.2.?	$[(141950268688005766835840442387145/21250259239146, 2087198426723285702423180348548631025116305602131/21250259239146)]$
468270.cp2	468270cp2	468270.cp	468270cp	$2$	$7$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 43 \)	\( - 2 \cdot 3^{6} \cdot 5 \cdot 11^{7} \cdot 43^{14} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$9240$	$96$	$2$	$1$	$49$	$7$	$0$	$2581555200$	$5.214439$	$7154705394529607961737582319/8127389307855235414199390$	$1.04985$	$6.51895$	$[1, -1, 1, 43717021072, -3452398249065983]$	\(y^2+xy+y=x^3-x^2+43717021072x-3452398249065983\)	7.24.0.a.2, 231.48.0.?, 440.2.0.?, 840.48.0.?, 3080.48.2.?, $\ldots$	$[]$