Elliptic curve search results

Results (12 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
5934.g1	5934g1	5934.g	5934g	$1$	$1$	\( 2 \cdot 3 \cdot 23 \cdot 43 \)	\( - 2^{13} \cdot 3^{8} \cdot 23 \cdot 43^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$7912$	$2$	$0$	$0.252008760$	$1$		$6$	$22464$	$1.363810$	$-5032738790353/98286344773632$	$1.03656$	$4.56625$	$[1, 1, 1, -357, -477141]$	\(y^2+xy+y=x^3+x^2-357x-477141\)	7912.2.0.?	$[(919, 27404)]$
17802.c1	17802j1	17802.c	17802j	$1$	$1$	\( 2 \cdot 3^{2} \cdot 23 \cdot 43 \)	\( - 2^{13} \cdot 3^{14} \cdot 23 \cdot 43^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$7912$	$2$	$0$	$1$	$1$		$0$	$179712$	$1.913116$	$-5032738790353/98286344773632$	$1.03656$	$4.72719$	$[1, -1, 0, -3213, 12879589]$	\(y^2+xy=x^3-x^2-3213x+12879589\)	7912.2.0.?	$[ ]$
47472.o1	47472p1	47472.o	47472p	$1$	$1$	\( 2^{4} \cdot 3 \cdot 23 \cdot 43 \)	\( - 2^{25} \cdot 3^{8} \cdot 23 \cdot 43^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$7912$	$2$	$0$	$1$	$1$		$0$	$539136$	$2.056957$	$-5032738790353/98286344773632$	$1.03656$	$4.45690$	$[0, 1, 0, -5712, 30525588]$	\(y^2=x^3+x^2-5712x+30525588\)	7912.2.0.?	$[ ]$
136482.u1	136482u1	136482.u	136482u	$1$	$1$	\( 2 \cdot 3 \cdot 23^{2} \cdot 43 \)	\( - 2^{13} \cdot 3^{8} \cdot 23^{7} \cdot 43^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$7912$	$2$	$0$	$1.533142131$	$1$		$4$	$11860992$	$2.931557$	$-5032738790353/98286344773632$	$1.03656$	$4.94645$	$[1, 1, 1, -188864, 5803483745]$	\(y^2+xy+y=x^3+x^2-188864x+5803483745\)	7912.2.0.?	$[(1209, 85093)]$
142416.m1	142416i1	142416.m	142416i	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 23 \cdot 43 \)	\( - 2^{25} \cdot 3^{14} \cdot 23 \cdot 43^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$7912$	$2$	$0$	$5.907268964$	$1$		$2$	$4313088$	$2.606262$	$-5032738790353/98286344773632$	$1.03656$	$4.59976$	$[0, 0, 0, -51411, -824242286]$	\(y^2=x^3-51411x-824242286\)	7912.2.0.?	$[(13401, 1550848)]$
148350.be1	148350bz1	148350.be	148350bz	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \cdot 43 \)	\( - 2^{13} \cdot 3^{8} \cdot 5^{6} \cdot 23 \cdot 43^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$7912$	$2$	$0$	$3.191607707$	$1$		$2$	$2875392$	$2.168530$	$-5032738790353/98286344773632$	$1.03656$	$4.14285$	$[1, 0, 1, -8926, -59624752]$	\(y^2+xy+y=x^3-8926x-59624752\)	7912.2.0.?	$[(682, 15521)]$
189888.h1	189888o1	189888.h	189888o	$1$	$1$	\( 2^{6} \cdot 3 \cdot 23 \cdot 43 \)	\( - 2^{31} \cdot 3^{8} \cdot 23 \cdot 43^{3} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$7912$	$2$	$0$	$2.329751413$	$1$		$6$	$4313088$	$2.403530$	$-5032738790353/98286344773632$	$1.03656$	$4.29073$	$[0, -1, 0, -22849, 244227553]$	\(y^2=x^3-x^2-22849x+244227553\)	7912.2.0.?	$[(-389, 13932), (3013, 165888)]$
189888.bf1	189888bc1	189888.bf	189888bc	$1$	$1$	\( 2^{6} \cdot 3 \cdot 23 \cdot 43 \)	\( - 2^{31} \cdot 3^{8} \cdot 23 \cdot 43^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$7912$	$2$	$0$	$1$	$1$		$0$	$4313088$	$2.403530$	$-5032738790353/98286344773632$	$1.03656$	$4.29073$	$[0, 1, 0, -22849, -244227553]$	\(y^2=x^3+x^2-22849x-244227553\)	7912.2.0.?	$[ ]$
255162.m1	255162m1	255162.m	255162m	$1$	$1$	\( 2 \cdot 3 \cdot 23 \cdot 43^{2} \)	\( - 2^{13} \cdot 3^{8} \cdot 23 \cdot 43^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$7912$	$2$	$0$	$0.806861790$	$1$		$4$	$41513472$	$3.244411$	$-5032738790353/98286344773632$	$1.03656$	$4.99940$	$[1, 0, 1, -660132, 37924152994]$	\(y^2+xy+y=x^3-660132x+37924152994\)	7912.2.0.?	$[(10388, 1068150)]$
290766.cm1	290766cm1	290766.cm	290766cm	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \cdot 43 \)	\( - 2^{13} \cdot 3^{8} \cdot 7^{6} \cdot 23 \cdot 43^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$7912$	$2$	$0$	$0.099805879$	$1$		$12$	$8626176$	$2.336765$	$-5032738790353/98286344773632$	$1.03656$	$4.08172$	$[1, 0, 0, -17494, 163606820]$	\(y^2+xy=x^3-17494x+163606820\)	7912.2.0.?	$[(788, 24890)]$
409446.bc1	409446bc1	409446.bc	409446bc	$1$	$1$	\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 43 \)	\( - 2^{13} \cdot 3^{14} \cdot 23^{7} \cdot 43^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$7912$	$2$	$0$	$13.34592278$	$1$		$0$	$94887936$	$3.480862$	$-5032738790353/98286344773632$	$1.03656$	$5.03602$	$[1, -1, 0, -1699776, -156695760896]$	\(y^2+xy=x^3-x^2-1699776x-156695760896\)	7912.2.0.?	$[(56955047/98, 189548889307/98)]$
445050.eb1	445050eb1	445050.eb	445050eb	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 23 \cdot 43 \)	\( - 2^{13} \cdot 3^{14} \cdot 5^{6} \cdot 23 \cdot 43^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$7912$	$2$	$0$	$2.664221066$	$1$		$2$	$23003136$	$2.717834$	$-5032738790353/98286344773632$	$1.03656$	$4.29972$	$[1, -1, 1, -80330, 1609868297]$	\(y^2+xy+y=x^3-x^2-80330x+1609868297\)	7912.2.0.?	$[(-1071, 22135)]$

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