Elliptic curve search results

Results (8 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
47775.q1	47775b1	47775.q	47775b	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 3^{2} \cdot 5^{2} \cdot 7^{8} \cdot 13^{17} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$53.97444349$	$1$		$0$	$26732160$	$4.067451$	$48412981936758748562855/77853743274432041397$	$1.05367$	$6.64511$	$[1, 1, 1, 398095697, 4077685984826]$	\(y^2+xy+y=x^3+x^2+398095697x+4077685984826\)	52.2.0.a.1	$[(417529881002269756258154/2167043201, 276815349952792458250717923040065072/2167043201)]$
47775.be1	47775cq1	47775.be	47775cq	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13^{17} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$1$	$1$		$0$	$3818880$	$3.094494$	$48412981936758748562855/77853743274432041397$	$1.05367$	$5.56147$	$[1, 0, 0, 8124402, -11887136703]$	\(y^2+xy=x^3+8124402x-11887136703\)	52.2.0.a.1	$[]$
47775.cq1	47775bf1	47775.cq	47775bf	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 3^{2} \cdot 5^{8} \cdot 7^{2} \cdot 13^{17} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$100.0823161$	$1$		$0$	$19094400$	$3.899212$	$48412981936758748562855/77853743274432041397$	$1.05367$	$6.45774$	$[1, 1, 0, 203110050, -1485892087875]$	\(y^2+xy=x^3+x^2+203110050x-1485892087875\)	52.2.0.a.1	$[(48412381875196727869505440796812250641480644/16832864964351743689, 337562084049084133287806557700933021168536630418810975304644221515/16832864964351743689)]$
47775.dd1	47775da1	47775.dd	47775da	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 3^{2} \cdot 5^{8} \cdot 7^{8} \cdot 13^{17} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$1$	$1$		$0$	$133660800$	$4.872169$	$48412981936758748562855/77853743274432041397$	$1.05367$	$7.54138$	$[1, 0, 1, 9952392424, 509690843318423]$	\(y^2+xy+y=x^3+9952392424x+509690843318423\)	52.2.0.a.1	$[]$
143325.bm1	143325ba1	143325.bm	143325ba	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 3^{8} \cdot 5^{8} \cdot 7^{2} \cdot 13^{17} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$1$	$1$		$0$	$152755200$	$4.448517$	$48412981936758748562855/77853743274432041397$	$1.05367$	$6.41538$	$[1, -1, 1, 1827990445, 40120914363072]$	\(y^2+xy+y=x^3-x^2+1827990445x+40120914363072\)	52.2.0.a.1	$[]$
143325.bp1	143325be1	143325.bp	143325be	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 3^{8} \cdot 5^{8} \cdot 7^{8} \cdot 13^{17} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$1$	$1$		$0$	$1069286400$	$5.421471$	$48412981936758748562855/77853743274432041397$	$1.05367$	$7.39876$	$[1, -1, 1, 89571531820, -13761652769597428]$	\(y^2+xy+y=x^3-x^2+89571531820x-13761652769597428\)	52.2.0.a.1	$[]$
143325.ei1	143325et1	143325.ei	143325et	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 3^{8} \cdot 5^{2} \cdot 7^{8} \cdot 13^{17} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$1$	$121$	$11$	$0$	$213857280$	$4.616753$	$48412981936758748562855/77853743274432041397$	$1.05367$	$6.58542$	$[1, -1, 0, 3582861273, -110093938729034]$	\(y^2+xy=x^3-x^2+3582861273x-110093938729034\)	52.2.0.a.1	$[]$
143325.es1	143325ej1	143325.es	143325ej	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 3^{8} \cdot 5^{2} \cdot 7^{2} \cdot 13^{17} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$1$	$1$		$0$	$30551040$	$3.643799$	$48412981936758748562855/77853743274432041397$	$1.05367$	$5.60205$	$[1, -1, 0, 73119618, 320952690981]$	\(y^2+xy=x^3-x^2+73119618x+320952690981\)	52.2.0.a.1	$[]$