Elliptic curve search results

Results (16 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
9555.h1	9555h1	9555.h	9555h	$1$	$1$	\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 3^{5} \cdot 5 \cdot 7^{2} \cdot 13^{13} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$1$	$1$		$0$	$241800$	$2.384338$	$633814853024541310976/367993254509587395$	$1.14870$	$5.65097$	$[0, -1, 1, 654855, -11895892]$	\(y^2+y=x^3-x^2+654855x-11895892\)	390.2.0.?	$[ ]$
9555.j1	9555n1	9555.j	9555n	$1$	$1$	\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 3^{5} \cdot 5 \cdot 7^{8} \cdot 13^{13} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$1$	$1$		$0$	$1692600$	$3.357292$	$633814853024541310976/367993254509587395$	$1.14870$	$6.92491$	$[0, 1, 1, 32087879, 4016115100]$	\(y^2+y=x^3+x^2+32087879x+4016115100\)	390.2.0.?	$[ ]$
28665.x1	28665z1	28665.x	28665z	$1$	$1$	\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 3^{11} \cdot 5 \cdot 7^{2} \cdot 13^{13} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$1$	$1$		$0$	$1934400$	$2.933643$	$633814853024541310976/367993254509587395$	$1.14870$	$5.68833$	$[0, 0, 1, 5893692, 315295384]$	\(y^2+y=x^3+5893692x+315295384\)	390.2.0.?	$[ ]$
28665.bc1	28665bi1	28665.bc	28665bi	$1$	$1$	\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 3^{11} \cdot 5 \cdot 7^{8} \cdot 13^{13} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$14.31098185$	$1$		$0$	$13540800$	$3.906601$	$633814853024541310976/367993254509587395$	$1.14870$	$6.82591$	$[0, 0, 1, 288790908, -108146316798]$	\(y^2+y=x^3+288790908x-108146316798\)	390.2.0.?	$[(189123830/83, 3053069140811/83)]$
47775.bq1	47775d1	47775.bq	47775d	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 3^{5} \cdot 5^{7} \cdot 7^{8} \cdot 13^{13} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$1$	$1$		$0$	$40622400$	$4.162010$	$633814853024541310976/367993254509587395$	$1.14870$	$6.78675$	$[0, -1, 1, 802196967, 500409993593]$	\(y^2+y=x^3-x^2+802196967x+500409993593\)	390.2.0.?	$[ ]$
47775.cd1	47775bz1	47775.cd	47775bz	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 3^{5} \cdot 5^{7} \cdot 7^{2} \cdot 13^{13} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$5.044030676$	$1$		$2$	$5803200$	$3.189056$	$633814853024541310976/367993254509587395$	$1.14870$	$5.70311$	$[0, 1, 1, 16371367, -1454243731]$	\(y^2+y=x^3+x^2+16371367x-1454243731\)	390.2.0.?	$[(643, 96637)]$
124215.bg1	124215b1	124215.bg	124215b	$1$	$1$	\( 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( - 3^{5} \cdot 5 \cdot 7^{2} \cdot 13^{19} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$1$	$9$	$3$	$0$	$40622400$	$3.666813$	$633814853024541310976/367993254509587395$	$1.14870$	$5.72729$	$[0, -1, 1, 110670439, -25692592339]$	\(y^2+y=x^3-x^2+110670439x-25692592339\)	390.2.0.?	$[ ]$
124215.ca1	124215cl1	124215.ca	124215cl	$1$	$1$	\( 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( - 3^{5} \cdot 5 \cdot 7^{8} \cdot 13^{19} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$26.15871932$	$1$		$0$	$284356800$	$4.639771$	$633814853024541310976/367993254509587395$	$1.14870$	$6.72266$	$[0, 1, 1, 5422851495, 8801713469189]$	\(y^2+y=x^3+x^2+5422851495x+8801713469189\)	390.2.0.?	$[(29370742120314897/130379, 5038102039229985582445598/130379)]$
143325.db1	143325dg1	143325.db	143325dg	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 3^{11} \cdot 5^{7} \cdot 7^{2} \cdot 13^{13} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$23.64874831$	$1$		$0$	$46425600$	$3.738365$	$633814853024541310976/367993254509587395$	$1.14870$	$5.73058$	$[0, 0, 1, 147342300, 39411923031]$	\(y^2+y=x^3+147342300x+39411923031\)	390.2.0.?	$[(557830272785/7829, 701028964513386743/7829)]$
143325.dc1	143325dp1	143325.dc	143325dp	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 3^{11} \cdot 5^{7} \cdot 7^{8} \cdot 13^{13} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$2.688854481$	$1$		$2$	$324979200$	$4.711319$	$633814853024541310976/367993254509587395$	$1.14870$	$6.71395$	$[0, 0, 1, 7219772700, -13518289599719]$	\(y^2+y=x^3+7219772700x-13518289599719\)	390.2.0.?	$[(60685, 25457737)]$
152880.bb1	152880fi1	152880.bb	152880fi	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{12} \cdot 3^{5} \cdot 5 \cdot 7^{8} \cdot 13^{13} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$1$	$49$	$7$	$0$	$121867200$	$4.050438$	$633814853024541310976/367993254509587395$	$1.14870$	$6.01331$	$[0, -1, 0, 513406059, -256517960355]$	\(y^2=x^3-x^2+513406059x-256517960355\)	390.2.0.?	$[ ]$
152880.hs1	152880r1	152880.hs	152880r	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{12} \cdot 3^{5} \cdot 5 \cdot 7^{2} \cdot 13^{13} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$1$	$1$		$0$	$17409600$	$3.077484$	$633814853024541310976/367993254509587395$	$1.14870$	$5.03525$	$[0, 1, 0, 10477675, 750859395]$	\(y^2=x^3+x^2+10477675x+750859395\)	390.2.0.?	$[ ]$
372645.cn1	372645cn1	372645.cn	372645cn	$1$	$1$	\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( - 3^{11} \cdot 5 \cdot 7^{8} \cdot 13^{19} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$1$	$25$	$5$	$0$	$2274854400$	$5.189072$	$633814853024541310976/367993254509587395$	$1.14870$	$6.66077$	$[0, 0, 1, 48805663452, -237597458004657]$	\(y^2+y=x^3+48805663452x-237597458004657\)	390.2.0.?	$[ ]$
372645.db1	372645db1	372645.db	372645db	$1$	$1$	\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( - 3^{11} \cdot 5 \cdot 7^{2} \cdot 13^{19} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$1$	$1$		$0$	$324979200$	$4.216118$	$633814853024541310976/367993254509587395$	$1.14870$	$5.75065$	$[0, 0, 1, 996033948, 692703959197]$	\(y^2+y=x^3+996033948x+692703959197\)	390.2.0.?	$[ ]$
458640.do1	458640do1	458640.do	458640do	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{12} \cdot 3^{11} \cdot 5 \cdot 7^{2} \cdot 13^{13} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$2.190240726$	$1$		$2$	$139276800$	$3.626793$	$633814853024541310976/367993254509587395$	$1.14870$	$5.11656$	$[0, 0, 0, 94299072, -20178904592]$	\(y^2=x^3+94299072x-20178904592\)	390.2.0.?	$[(34241, 6584409)]$
458640.lf1	458640lf1	458640.lf	458640lf	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{12} \cdot 3^{11} \cdot 5 \cdot 7^{8} \cdot 13^{13} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$1$	$121$	$11$	$0$	$974937600$	$4.599747$	$633814853024541310976/367993254509587395$	$1.14870$	$6.01219$	$[0, 0, 0, 4620654528, 6921364275056]$	\(y^2=x^3+4620654528x+6921364275056\)	390.2.0.?	$[ ]$

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