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
47190.g1	47190e1	47190.g	47190e	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2 \cdot 3^{6} \cdot 5 \cdot 11^{4} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$520$	$2$	$0$	$0.634690701$	$1$		$4$	$141120$	$1.306269$	$-3040489341769/2706725970$	$0.95160$	$3.64861$	$[1, 1, 0, -7383, 385983]$	\(y^2+xy=x^3+x^2-7383x+385983\)	520.2.0.?	$[(183, 2190)]$
47190.bo1	47190bo1	47190.bo	47190bo	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2 \cdot 3^{6} \cdot 5 \cdot 11^{10} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$520$	$2$	$0$	$41.88025597$	$1$		$0$	$1552320$	$2.505215$	$-3040489341769/2706725970$	$0.95160$	$4.98549$	$[1, 1, 1, -893406, -518210307]$	\(y^2+xy+y=x^3+x^2-893406x-518210307\)	520.2.0.?	$[(6000888685466603587/57640126, 11576962179125200914580694579/57640126)]$
141570.bu1	141570cv1	141570.bu	141570cv	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2 \cdot 3^{12} \cdot 5 \cdot 11^{10} \cdot 13^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$520$	$2$	$0$	$1$	$1$		$0$	$12418560$	$3.054523$	$-3040489341769/2706725970$	$0.95160$	$5.07946$	$[1, -1, 0, -8040654, 13983637630]$	\(y^2+xy=x^3-x^2-8040654x+13983637630\)	520.2.0.?	$[]$
141570.es1	141570q1	141570.es	141570q	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2 \cdot 3^{12} \cdot 5 \cdot 11^{4} \cdot 13^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$520$	$2$	$0$	$1$	$1$		$0$	$1128960$	$1.855574$	$-3040489341769/2706725970$	$0.95160$	$3.86641$	$[1, -1, 1, -66452, -10487991]$	\(y^2+xy+y=x^3-x^2-66452x-10487991\)	520.2.0.?	$[]$
235950.ea1	235950ea1	235950.ea	235950ea	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( - 2 \cdot 3^{6} \cdot 5^{7} \cdot 11^{10} \cdot 13^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$520$	$2$	$0$	$1$	$1$		$0$	$37255680$	$3.309933$	$-3040489341769/2706725970$	$0.95160$	$5.11747$	$[1, 0, 1, -22335151, -64731618052]$	\(y^2+xy+y=x^3-22335151x-64731618052\)	520.2.0.?	$[]$
235950.hf1	235950hf1	235950.hf	235950hf	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( - 2 \cdot 3^{6} \cdot 5^{7} \cdot 11^{4} \cdot 13^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$520$	$2$	$0$	$1$	$1$		$0$	$3386880$	$2.110989$	$-3040489341769/2706725970$	$0.95160$	$3.95451$	$[1, 0, 0, -184588, 48617042]$	\(y^2+xy=x^3-184588x+48617042\)	520.2.0.?	$[]$
377520.ei1	377520ei1	377520.ei	377520ei	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2^{13} \cdot 3^{6} \cdot 5 \cdot 11^{4} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$520$	$2$	$0$	$0.170301995$	$1$		$10$	$3386880$	$1.999414$	$-3040489341769/2706725970$	$0.95160$	$3.70551$	$[0, 1, 0, -118136, -24939180]$	\(y^2=x^3+x^2-118136x-24939180\)	520.2.0.?	$[(1294, 44616)]$
377520.fi1	377520fi1	377520.fi	377520fi	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2^{13} \cdot 3^{6} \cdot 5 \cdot 11^{10} \cdot 13^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$520$	$2$	$0$	$1$	$1$		$0$	$37255680$	$3.198364$	$-3040489341769/2706725970$	$0.95160$	$4.82590$	$[0, 1, 0, -14294496, 33136870644]$	\(y^2=x^3+x^2-14294496x+33136870644\)	520.2.0.?	$[]$