Elliptic curve search results

Results (6 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
75810.bo1	75810bm1	75810.bo	75810bm	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \)	\( - 2^{3} \cdot 3^{8} \cdot 5^{5} \cdot 7^{5} \cdot 19^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$280$	$2$	$0$	$1$	$1$		$0$	$1296000$	$2.117908$	$-1130618446378903363681/2756768175000$	$1.01613$	$4.83856$	$[1, 0, 1, -1545373, -739561744]$	\(y^2+xy+y=x^3-1545373x-739561744\)	280.2.0.?	$[]$
75810.ck1	75810ci1	75810.ck	75810ci	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \)	\( - 2^{3} \cdot 3^{8} \cdot 5^{5} \cdot 7^{5} \cdot 19^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$280$	$2$	$0$	$3.305807500$	$1$		$2$	$24624000$	$3.590126$	$-1130618446378903363681/2756768175000$	$1.01613$	$6.41088$	$[1, 1, 1, -557879480, 5071538241425]$	\(y^2+xy+y=x^3+x^2-557879480x+5071538241425\)	280.2.0.?	$[(13143, 92653)]$
227430.f1	227430fb1	227430.f	227430fb	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \)	\( - 2^{3} \cdot 3^{14} \cdot 5^{5} \cdot 7^{5} \cdot 19^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$280$	$2$	$0$	$1$	$1$		$0$	$196992000$	$4.139435$	$-1130618446378903363681/2756768175000$	$1.01613$	$6.37428$	$[1, -1, 0, -5020915320, -136936553433800]$	\(y^2+xy=x^3-x^2-5020915320x-136936553433800\)	280.2.0.?	$[]$
227430.dm1	227430bv1	227430.dm	227430bv	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \)	\( - 2^{3} \cdot 3^{14} \cdot 5^{5} \cdot 7^{5} \cdot 19^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$280$	$2$	$0$	$1$	$1$		$0$	$10368000$	$2.667213$	$-1130618446378903363681/2756768175000$	$1.01613$	$4.94200$	$[1, -1, 1, -13908353, 19968167081]$	\(y^2+xy+y=x^3-x^2-13908353x+19968167081\)	280.2.0.?	$[]$
379050.es1	379050es1	379050.es	379050es	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \)	\( - 2^{3} \cdot 3^{8} \cdot 5^{11} \cdot 7^{5} \cdot 19^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$280$	$2$	$0$	$1.131409358$	$1$		$4$	$590976000$	$4.394844$	$-1130618446378903363681/2756768175000$	$1.01613$	$6.35940$	$[1, 0, 1, -13946987001, 633970174152148]$	\(y^2+xy+y=x^3-13946987001x+633970174152148\)	280.2.0.?	$[(69092, 378891)]$
379050.hl1	379050hl1	379050.hl	379050hl	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \)	\( - 2^{3} \cdot 3^{8} \cdot 5^{11} \cdot 7^{5} \cdot 19^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$280$	$2$	$0$	$1$	$1$		$0$	$31104000$	$2.922626$	$-1130618446378903363681/2756768175000$	$1.01613$	$4.98408$	$[1, 1, 1, -38634313, -92445217969]$	\(y^2+xy+y=x^3+x^2-38634313x-92445217969\)	280.2.0.?	$[]$