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.w1	75810r1	75810.w	75810r	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \)	\( - 2^{5} \cdot 3 \cdot 5^{3} \cdot 7^{5} \cdot 19^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15960$	$2$	$0$	$1$	$1$		$0$	$5016000$	$2.793530$	$-881946488857699/201684000$	$0.96947$	$5.42129$	$[1, 1, 0, -13703567, 19523486469]$	\(y^2+xy=x^3+x^2-13703567x+19523486469\)	15960.2.0.?	$[]$
75810.do1	75810dh1	75810.do	75810dh	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \)	\( - 2^{5} \cdot 3 \cdot 5^{3} \cdot 7^{5} \cdot 19^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15960$	$2$	$0$	$1$	$1$		$0$	$264000$	$1.321312$	$-881946488857699/201684000$	$0.96947$	$3.84896$	$[1, 0, 0, -37960, -2850400]$	\(y^2+xy=x^3-37960x-2850400\)	15960.2.0.?	$[]$
227430.d1	227430fa1	227430.d	227430fa	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \)	\( - 2^{5} \cdot 3^{7} \cdot 5^{3} \cdot 7^{5} \cdot 19^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15960$	$2$	$0$	$1$	$1$		$0$	$2112000$	$1.870619$	$-881946488857699/201684000$	$0.96947$	$4.04055$	$[1, -1, 0, -341640, 76960800]$	\(y^2+xy=x^3-x^2-341640x+76960800\)	15960.2.0.?	$[]$
227430.dj1	227430bt1	227430.dj	227430bt	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \)	\( - 2^{5} \cdot 3^{7} \cdot 5^{3} \cdot 7^{5} \cdot 19^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15960$	$2$	$0$	$11.59723563$	$1$		$0$	$40128000$	$3.342838$	$-881946488857699/201684000$	$0.96947$	$5.47283$	$[1, -1, 1, -123332108, -527257466769]$	\(y^2+xy+y=x^3-x^2-123332108x-527257466769\)	15960.2.0.?	$[(79877369/17, 712631757633/17)]$
379050.cc1	379050cc1	379050.cc	379050cc	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \)	\( - 2^{5} \cdot 3 \cdot 5^{9} \cdot 7^{5} \cdot 19^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15960$	$2$	$0$	$1$	$1$		$0$	$6336000$	$2.126030$	$-881946488857699/201684000$	$0.96947$	$4.11847$	$[1, 1, 0, -949000, -356300000]$	\(y^2+xy=x^3+x^2-949000x-356300000\)	15960.2.0.?	$[]$
379050.jv1	379050jv1	379050.jv	379050jv	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \)	\( - 2^{5} \cdot 3 \cdot 5^{9} \cdot 7^{5} \cdot 19^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15960$	$2$	$0$	$1$	$1$		$0$	$120384000$	$3.598251$	$-881946488857699/201684000$	$0.96947$	$5.49380$	$[1, 0, 0, -342589188, 2441120986992]$	\(y^2+xy=x^3-342589188x+2441120986992\)	15960.2.0.?	$[]$