Elliptic curve search results

Results (18 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
14280.o1	14280j2	14280.o	14280j	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \)	\( 2^{11} \cdot 3^{7} \cdot 5^{3} \cdot 7^{10} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$14280$	$12$	$0$	$16.58360967$	$1$		$1$	$645120$	$2.756260$	$83609231549925663172082/22317062975463375$	$1.00971$	$6.31415$	$[0, -1, 0, -11568760, -15137966900]$	\(y^2=x^3-x^2-11568760x-15137966900\)	2.3.0.a.1, 120.6.0.?, 476.6.0.?, 14280.12.0.?	$[(34934265/77, 158948372290/77)]$
28560.dt1	28560by2	28560.dt	28560by	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \)	\( 2^{11} \cdot 3^{7} \cdot 5^{3} \cdot 7^{10} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$14280$	$12$	$0$	$0.170986424$	$1$		$17$	$1290240$	$2.756260$	$83609231549925663172082/22317062975463375$	$1.00971$	$5.88757$	$[0, 1, 0, -11568760, 15137966900]$	\(y^2=x^3+x^2-11568760x+15137966900\)	2.3.0.a.1, 120.6.0.?, 476.6.0.?, 14280.12.0.?	$[(1820, 10710)]$
42840.d1	42840bm2	42840.d	42840bm	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \)	\( 2^{11} \cdot 3^{13} \cdot 5^{3} \cdot 7^{10} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$14280$	$12$	$0$	$18.67917876$	$1$		$1$	$5160960$	$3.305565$	$83609231549925663172082/22317062975463375$	$1.00971$	$6.28179$	$[0, 0, 0, -104118843, 408829225142]$	\(y^2=x^3-104118843x+408829225142\)	2.3.0.a.1, 120.6.0.?, 476.6.0.?, 14280.12.0.?	$[(1236443674/451, 2120981102028/451)]$
71400.dw1	71400do2	71400.dw	71400do	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17 \)	\( 2^{11} \cdot 3^{7} \cdot 5^{9} \cdot 7^{10} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$14280$	$12$	$0$	$1$	$1$		$1$	$15482880$	$3.560978$	$83609231549925663172082/22317062975463375$	$1.00971$	$6.26891$	$[0, 1, 0, -289219008, -1892824300512]$	\(y^2=x^3+x^2-289219008x-1892824300512\)	2.3.0.a.1, 120.6.0.?, 476.6.0.?, 14280.12.0.?	$[ ]$
85680.cm1	85680bb2	85680.cm	85680bb	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \)	\( 2^{11} \cdot 3^{13} \cdot 5^{3} \cdot 7^{10} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$14280$	$12$	$0$	$1.395079543$	$1$		$7$	$10321920$	$3.305565$	$83609231549925663172082/22317062975463375$	$1.00971$	$5.89844$	$[0, 0, 0, -104118843, -408829225142]$	\(y^2=x^3-104118843x-408829225142\)	2.3.0.a.1, 120.6.0.?, 476.6.0.?, 14280.12.0.?	$[(-5839, 6804)]$
99960.cx1	99960bh2	99960.cx	99960bh	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17 \)	\( 2^{11} \cdot 3^{7} \cdot 5^{3} \cdot 7^{16} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$14280$	$12$	$0$	$8.245063960$	$1$		$3$	$30965760$	$3.729214$	$83609231549925663172082/22317062975463375$	$1.00971$	$6.26105$	$[0, 1, 0, -566869256, 5193456385200]$	\(y^2=x^3+x^2-566869256x+5193456385200\)	2.3.0.a.1, 120.6.0.?, 476.6.0.?, 14280.12.0.?	$[(17419, 777666)]$
114240.co1	114240gb2	114240.co	114240gb	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \)	\( 2^{17} \cdot 3^{7} \cdot 5^{3} \cdot 7^{10} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$14280$	$12$	$0$	$1$	$1$		$1$	$10321920$	$3.102833$	$83609231549925663172082/22317062975463375$	$1.00971$	$5.54385$	$[0, -1, 0, -46275041, 121150010241]$	\(y^2=x^3-x^2-46275041x+121150010241\)	2.3.0.a.1, 120.6.0.?, 476.6.0.?, 14280.12.0.?	$[ ]$
114240.gd1	114240df2	114240.gd	114240df	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \)	\( 2^{17} \cdot 3^{7} \cdot 5^{3} \cdot 7^{10} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$14280$	$12$	$0$	$8.936433008$	$1$		$3$	$10321920$	$3.102833$	$83609231549925663172082/22317062975463375$	$1.00971$	$5.54385$	$[0, 1, 0, -46275041, -121150010241]$	\(y^2=x^3+x^2-46275041x-121150010241\)	2.3.0.a.1, 120.6.0.?, 476.6.0.?, 14280.12.0.?	$[(32602, 5746617)]$
142800.w1	142800jh2	142800.w	142800jh	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17 \)	\( 2^{11} \cdot 3^{7} \cdot 5^{9} \cdot 7^{10} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$14280$	$12$	$0$	$3.906836902$	$1$		$3$	$30965760$	$3.560978$	$83609231549925663172082/22317062975463375$	$1.00971$	$5.90281$	$[0, -1, 0, -289219008, 1892824300512]$	\(y^2=x^3-x^2-289219008x+1892824300512\)	2.3.0.a.1, 120.6.0.?, 476.6.0.?, 14280.12.0.?	$[(9652, 19500)]$
199920.x1	199920hl2	199920.x	199920hl	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17 \)	\( 2^{11} \cdot 3^{7} \cdot 5^{3} \cdot 7^{16} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$14280$	$12$	$0$	$1$	$16$	$2$	$1$	$61931520$	$3.729214$	$83609231549925663172082/22317062975463375$	$1.00971$	$5.90549$	$[0, -1, 0, -566869256, -5193456385200]$	\(y^2=x^3-x^2-566869256x-5193456385200\)	2.3.0.a.1, 120.6.0.?, 476.6.0.?, 14280.12.0.?	$[ ]$
214200.dj1	214200du2	214200.dj	214200du	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \)	\( 2^{11} \cdot 3^{13} \cdot 5^{9} \cdot 7^{10} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$14280$	$12$	$0$	$1$	$1$		$1$	$123863040$	$4.110283$	$83609231549925663172082/22317062975463375$	$1.00971$	$6.24484$	$[0, 0, 0, -2602971075, 51103653142750]$	\(y^2=x^3-2602971075x+51103653142750\)	2.3.0.a.1, 120.6.0.?, 476.6.0.?, 14280.12.0.?	$[ ]$
242760.cj1	242760cj2	242760.cj	242760cj	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 17^{2} \)	\( 2^{11} \cdot 3^{7} \cdot 5^{3} \cdot 7^{10} \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$14280$	$12$	$0$	$5.837011206$	$1$		$3$	$185794560$	$4.172867$	$83609231549925663172082/22317062975463375$	$1.00971$	$6.24237$	$[0, 1, 0, -3343371736, -74392891609936]$	\(y^2=x^3+x^2-3343371736x-74392891609936\)	2.3.0.a.1, 120.6.0.?, 476.6.0.?, 14280.12.0.?	$[(207131, 90109530)]$
299880.dn1	299880dn2	299880.dn	299880dn	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 17 \)	\( 2^{11} \cdot 3^{13} \cdot 5^{3} \cdot 7^{16} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$14280$	$12$	$0$	$1$	$9$	$3$	$1$	$247726080$	$4.278519$	$83609231549925663172082/22317062975463375$	$1.00971$	$6.23831$	$[0, 0, 0, -5101823307, -140228424223706]$	\(y^2=x^3-5101823307x-140228424223706\)	2.3.0.a.1, 120.6.0.?, 476.6.0.?, 14280.12.0.?	$[ ]$
342720.la1	342720la2	342720.la	342720la	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \)	\( 2^{17} \cdot 3^{13} \cdot 5^{3} \cdot 7^{10} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$14280$	$12$	$0$	$2.595364194$	$1$		$7$	$82575360$	$3.652138$	$83609231549925663172082/22317062975463375$	$1.00971$	$5.58317$	$[0, 0, 0, -416475372, 3270633801136]$	\(y^2=x^3-416475372x+3270633801136\)	2.3.0.a.1, 120.6.0.?, 476.6.0.?, 14280.12.0.?	$[(11942, 12240)]$
342720.nj1	342720nj2	342720.nj	342720nj	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \)	\( 2^{17} \cdot 3^{13} \cdot 5^{3} \cdot 7^{10} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$14280$	$12$	$0$	$5.218973472$	$1$		$3$	$82575360$	$3.652138$	$83609231549925663172082/22317062975463375$	$1.00971$	$5.58317$	$[0, 0, 0, -416475372, -3270633801136]$	\(y^2=x^3-416475372x-3270633801136\)	2.3.0.a.1, 120.6.0.?, 476.6.0.?, 14280.12.0.?	$[(334108, 192752280)]$
428400.fs1	428400fs2	428400.fs	428400fs	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \)	\( 2^{11} \cdot 3^{13} \cdot 5^{9} \cdot 7^{10} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$14280$	$12$	$0$	$54.45618346$	$1$		$1$	$247726080$	$4.110283$	$83609231549925663172082/22317062975463375$	$1.00971$	$5.91105$	$[0, 0, 0, -2602971075, -51103653142750]$	\(y^2=x^3-2602971075x-51103653142750\)	2.3.0.a.1, 120.6.0.?, 476.6.0.?, 14280.12.0.?	$[(12049021185575744549582215/6775277653, 40966223402611424231909816256703691550/6775277653)]$
485520.t1	485520t2	485520.t	485520t	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 17^{2} \)	\( 2^{11} \cdot 3^{7} \cdot 5^{3} \cdot 7^{10} \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$14280$	$12$	$0$	$12.41928745$	$1$		$1$	$371589120$	$4.172867$	$83609231549925663172082/22317062975463375$	$1.00971$	$5.91190$	$[0, -1, 0, -3343371736, 74392891609936]$	\(y^2=x^3-x^2-3343371736x+74392891609936\)	2.3.0.a.1, 120.6.0.?, 476.6.0.?, 14280.12.0.?	$[(1673562/7, 70920998/7)]$
499800.cz1	499800cz2	499800.cz	499800cz	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( 2^{11} \cdot 3^{7} \cdot 5^{9} \cdot 7^{16} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$14280$	$12$	$0$	$1$	$16$	$2$	$1$	$743178240$	$4.533936$	$83609231549925663172082/22317062975463375$	$1.00971$	$6.22903$	$[0, -1, 0, -14171731408, 649210391612812]$	\(y^2=x^3-x^2-14171731408x+649210391612812\)	2.3.0.a.1, 120.6.0.?, 476.6.0.?, 14280.12.0.?	$[ ]$

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