Elliptic curve search results

Results (26 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
1449.b1	1449b1	1449.b	1449b	$1$	$1$	\( 3^{2} \cdot 7 \cdot 23 \)	\( - 3^{3} \cdot 7^{7} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$0.059162024$	$1$		$12$	$784$	$0.416408$	$-226534772736/18941489$	$0.99435$	$4.06353$	$[0, 0, 1, -381, 3062]$	\(y^2+y=x^3-381x+3062\)	966.2.0.?	$[(-15, 73)]$
1449.e1	1449a1	1449.e	1449a	$1$	$1$	\( 3^{2} \cdot 7 \cdot 23 \)	\( - 3^{9} \cdot 7^{7} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1$	$1$		$0$	$2352$	$0.965714$	$-226534772736/18941489$	$0.99435$	$4.96915$	$[0, 0, 1, -3429, -82681]$	\(y^2+y=x^3-3429x-82681\)	966.2.0.?	$[]$
10143.d1	10143e1	10143.d	10143e	$1$	$1$	\( 3^{2} \cdot 7^{2} \cdot 23 \)	\( - 3^{3} \cdot 7^{13} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1.577510458$	$1$		$0$	$37632$	$1.389362$	$-226534772736/18941489$	$0.99435$	$4.47203$	$[0, 0, 1, -18669, -1050352]$	\(y^2+y=x^3-18669x-1050352\)	966.2.0.?	$[(1449/2, 50417/2)]$
10143.r1	10143c1	10143.r	10143c	$1$	$1$	\( 3^{2} \cdot 7^{2} \cdot 23 \)	\( - 3^{9} \cdot 7^{13} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1$	$1$		$0$	$112896$	$1.938669$	$-226534772736/18941489$	$0.99435$	$5.18661$	$[0, 0, 1, -168021, 28359497]$	\(y^2+y=x^3-168021x+28359497\)	966.2.0.?	$[]$
23184.l1	23184u1	23184.l	23184u	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \)	\( - 2^{12} \cdot 3^{3} \cdot 7^{7} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1$	$1$		$0$	$31360$	$1.109554$	$-226534772736/18941489$	$0.99435$	$3.77016$	$[0, 0, 0, -6096, -195984]$	\(y^2=x^3-6096x-195984\)	966.2.0.?	$[]$
23184.bm1	23184z1	23184.bm	23184z	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \)	\( - 2^{12} \cdot 3^{9} \cdot 7^{7} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$6.284569870$	$1$		$0$	$94080$	$1.658861$	$-226534772736/18941489$	$0.99435$	$4.42597$	$[0, 0, 0, -54864, 5291568]$	\(y^2=x^3-54864x+5291568\)	966.2.0.?	$[(1449/4, 66069/4)]$
33327.b1	33327d1	33327.b	33327d	$1$	$1$	\( 3^{2} \cdot 7 \cdot 23^{2} \)	\( - 3^{3} \cdot 7^{7} \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1$	$1$		$0$	$413952$	$1.984154$	$-226534772736/18941489$	$0.99435$	$4.64657$	$[0, 0, 1, -201549, -37258396]$	\(y^2+y=x^3-201549x-37258396\)	966.2.0.?	$[]$
33327.p1	33327c1	33327.p	33327c	$1$	$1$	\( 3^{2} \cdot 7 \cdot 23^{2} \)	\( - 3^{9} \cdot 7^{7} \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1$	$1$		$0$	$1241856$	$2.533463$	$-226534772736/18941489$	$0.99435$	$5.27952$	$[0, 0, 1, -1813941, 1005976685]$	\(y^2+y=x^3-1813941x+1005976685\)	966.2.0.?	$[]$
36225.d1	36225b1	36225.d	36225b	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 3^{9} \cdot 5^{6} \cdot 7^{7} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1$	$1$		$0$	$301056$	$1.770433$	$-226534772736/18941489$	$0.99435$	$4.36535$	$[0, 0, 1, -85725, -10335094]$	\(y^2+y=x^3-85725x-10335094\)	966.2.0.?	$[]$
36225.by1	36225a1	36225.by	36225a	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 3^{3} \cdot 5^{6} \cdot 7^{7} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$3.856935640$	$1$		$0$	$100352$	$1.221127$	$-226534772736/18941489$	$0.99435$	$3.73742$	$[0, 0, 1, -9525, 382781]$	\(y^2+y=x^3-9525x+382781\)	966.2.0.?	$[(-15/2, 5171/2)]$
92736.bd1	92736dc1	92736.bd	92736dc	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 23 \)	\( - 2^{6} \cdot 3^{9} \cdot 7^{7} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$4.390852516$	$1$		$2$	$188160$	$1.312286$	$-226534772736/18941489$	$0.99435$	$3.52590$	$[0, 0, 0, -13716, 661446]$	\(y^2=x^3-13716x+661446\)	966.2.0.?	$[(55, 271)]$
92736.bn1	92736n1	92736.bn	92736n	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 23 \)	\( - 2^{6} \cdot 3^{9} \cdot 7^{7} \cdot 23 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$3.435536685$	$1$		$6$	$188160$	$1.312286$	$-226534772736/18941489$	$0.99435$	$3.52590$	$[0, 0, 0, -13716, -661446]$	\(y^2=x^3-13716x-661446\)	966.2.0.?	$[(531, 11907), (139, 343)]$
92736.eg1	92736cv1	92736.eg	92736cv	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 23 \)	\( - 2^{6} \cdot 3^{3} \cdot 7^{7} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1$	$4$	$2$	$0$	$62720$	$0.762981$	$-226534772736/18941489$	$0.99435$	$2.94958$	$[0, 0, 0, -1524, -24498]$	\(y^2=x^3-1524x-24498\)	966.2.0.?	$[]$
92736.ev1	92736u1	92736.ev	92736u	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 23 \)	\( - 2^{6} \cdot 3^{3} \cdot 7^{7} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$0.498891704$	$1$		$2$	$62720$	$0.762981$	$-226534772736/18941489$	$0.99435$	$2.94958$	$[0, 0, 0, -1524, 24498]$	\(y^2=x^3-1524x+24498\)	966.2.0.?	$[(19, 49)]$
162288.bp1	162288dg1	162288.bp	162288dg	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \)	\( - 2^{12} \cdot 3^{9} \cdot 7^{13} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1$	$9$	$3$	$0$	$4515840$	$2.631817$	$-226534772736/18941489$	$0.99435$	$4.68128$	$[0, 0, 0, -2688336, -1815007824]$	\(y^2=x^3-2688336x-1815007824\)	966.2.0.?	$[]$
162288.fe1	162288ee1	162288.fe	162288ee	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \)	\( - 2^{12} \cdot 3^{3} \cdot 7^{13} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$7.890017359$	$1$		$0$	$1505280$	$2.082508$	$-226534772736/18941489$	$0.99435$	$4.13184$	$[0, 0, 0, -298704, 67222512]$	\(y^2=x^3-298704x+67222512\)	966.2.0.?	$[(4809/8, 3442299/8)]$
175329.b1	175329b1	175329.b	175329b	$1$	$1$	\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 23 \)	\( - 3^{9} \cdot 7^{7} \cdot 11^{6} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1$	$1$		$0$	$3363360$	$2.164661$	$-226534772736/18941489$	$0.99435$	$4.18703$	$[0, 0, 1, -414909, 110048078]$	\(y^2+y=x^3-414909x+110048078\)	966.2.0.?	$[]$
175329.ba1	175329bd1	175329.ba	175329bd	$1$	$1$	\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 23 \)	\( - 3^{3} \cdot 7^{7} \cdot 11^{6} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$31.80862706$	$1$		$0$	$1121120$	$1.615355$	$-226534772736/18941489$	$0.99435$	$3.64111$	$[0, 0, 1, -46101, -4075855]$	\(y^2+y=x^3-46101x-4075855\)	966.2.0.?	$[(79105338863241/518632, 389606574472675252645/518632)]$
233289.c1	233289c1	233289.c	233289c	$1$	$1$	\( 3^{2} \cdot 7^{2} \cdot 23^{2} \)	\( - 3^{3} \cdot 7^{13} \cdot 23^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1.273092815$	$1$		$4$	$19869696$	$2.957111$	$-226534772736/18941489$	$0.99435$	$4.85965$	$[0, 0, 1, -9875901, 12779629742]$	\(y^2+y=x^3-9875901x+12779629742\)	966.2.0.?	$[(1449, 38881)]$
233289.by1	233289by1	233289.by	233289by	$1$	$1$	\( 3^{2} \cdot 7^{2} \cdot 23^{2} \)	\( - 3^{9} \cdot 7^{13} \cdot 23^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$103.6978203$	$1$		$0$	$59609088$	$3.506416$	$-226534772736/18941489$	$0.99435$	$5.39295$	$[0, 0, 1, -88883109, -345050003041]$	\(y^2+y=x^3-88883109x-345050003041\)	966.2.0.?	$[(646983994355238951105051392032855857285922947801/6869096865132864969928, 326408158473812411192382708438086870635826266027192126021724506346005021/6869096865132864969928)]$
244881.g1	244881g1	244881.g	244881g	$1$	$1$	\( 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \)	\( - 3^{9} \cdot 7^{7} \cdot 13^{6} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$7.252082697$	$1$		$0$	$5531904$	$2.248188$	$-226534772736/18941489$	$0.99435$	$4.15507$	$[0, 0, 1, -579501, -181649608]$	\(y^2+y=x^3-579501x-181649608\)	966.2.0.?	$[(73476/7, 16524733/7)]$
244881.bx1	244881bx1	244881.bx	244881bx	$1$	$1$	\( 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \)	\( - 3^{3} \cdot 7^{7} \cdot 13^{6} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1$	$1$		$0$	$1843968$	$1.698883$	$-226534772736/18941489$	$0.99435$	$3.62385$	$[0, 0, 1, -64389, 6727763]$	\(y^2+y=x^3-64389x+6727763\)	966.2.0.?	$[]$
253575.l1	253575l1	253575.l	253575l	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( - 3^{9} \cdot 5^{6} \cdot 7^{13} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$2.775366635$	$1$		$2$	$14450688$	$2.743389$	$-226534772736/18941489$	$0.99435$	$4.62098$	$[0, 0, 1, -4200525, 3544937156]$	\(y^2+y=x^3-4200525x+3544937156\)	966.2.0.?	$[(-1260, 82687)]$
253575.fs1	253575fs1	253575.fs	253575fs	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( - 3^{3} \cdot 5^{6} \cdot 7^{13} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1$	$1$		$0$	$4816896$	$2.194080$	$-226534772736/18941489$	$0.99435$	$4.09124$	$[0, 0, 1, -466725, -131293969]$	\(y^2+y=x^3-466725x-131293969\)	966.2.0.?	$[]$
418761.d1	418761d1	418761.d	418761d	$1$	$1$	\( 3^{2} \cdot 7 \cdot 17^{2} \cdot 23 \)	\( - 3^{3} \cdot 7^{7} \cdot 17^{6} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$3.346505298$	$1$		$2$	$3863552$	$1.833014$	$-226534772736/18941489$	$0.99435$	$3.59799$	$[0, 0, 1, -110109, 15044834]$	\(y^2+y=x^3-110109x+15044834\)	966.2.0.?	$[(-221, 5346)]$
418761.bl1	418761bl1	418761.bl	418761bl	$1$	$1$	\( 3^{2} \cdot 7 \cdot 17^{2} \cdot 23 \)	\( - 3^{9} \cdot 7^{7} \cdot 17^{6} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1$	$16$	$2$	$0$	$11590656$	$2.382320$	$-226534772736/18941489$	$0.99435$	$4.10720$	$[0, 0, 1, -990981, -406210525]$	\(y^2+y=x^3-990981x-406210525\)	966.2.0.?	$[]$