Elliptic curve search results

Results (9 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
18354.x1	18354x1	18354.x	18354x	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23 \)	\( - 2^{13} \cdot 3^{5} \cdot 7^{2} \cdot 19 \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$10488$	$2$	$0$	$0.119569370$	$1$		$12$	$16640$	$0.725301$	$30649603997375/42625916928$	$0.89030$	$3.19756$	$[1, 0, 0, 652, -7536]$	\(y^2+xy=x^3+652x-7536\)	10488.2.0.?	$[(16, 76)]$
55062.k1	55062q1	55062.k	55062q	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 19 \cdot 23 \)	\( - 2^{13} \cdot 3^{11} \cdot 7^{2} \cdot 19 \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10488$	$2$	$0$	$2.463087689$	$1$		$2$	$133120$	$1.274607$	$30649603997375/42625916928$	$0.89030$	$3.47960$	$[1, -1, 0, 5868, 203472]$	\(y^2+xy=x^3-x^2+5868x+203472\)	10488.2.0.?	$[(-27, 171)]$
128478.bw1	128478cd1	128478.bw	128478cd	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \cdot 23 \)	\( - 2^{13} \cdot 3^{5} \cdot 7^{8} \cdot 19 \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10488$	$2$	$0$	$1.308215166$	$1$		$4$	$798720$	$1.698256$	$30649603997375/42625916928$	$0.89030$	$3.66114$	$[1, 1, 1, 31947, 2616795]$	\(y^2+xy+y=x^3+x^2+31947x+2616795\)	10488.2.0.?	$[(-57, 812)]$
146832.i1	146832z1	146832.i	146832z	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7 \cdot 19 \cdot 23 \)	\( - 2^{25} \cdot 3^{5} \cdot 7^{2} \cdot 19 \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10488$	$2$	$0$	$1.580783859$	$1$		$2$	$399360$	$1.418447$	$30649603997375/42625916928$	$0.89030$	$3.33782$	$[0, -1, 0, 10432, 482304]$	\(y^2=x^3-x^2+10432x+482304\)	10488.2.0.?	$[(96, 1536)]$
348726.f1	348726f1	348726.f	348726f	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 19^{2} \cdot 23 \)	\( - 2^{13} \cdot 3^{5} \cdot 7^{2} \cdot 19^{7} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10488$	$2$	$0$	$1$	$1$		$0$	$5990400$	$2.197521$	$30649603997375/42625916928$	$0.89030$	$3.84414$	$[1, 1, 0, 235365, 52160157]$	\(y^2+xy=x^3+x^2+235365x+52160157\)	10488.2.0.?	$[]$
385434.bm1	385434bm1	385434.bm	385434bm	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 19 \cdot 23 \)	\( - 2^{13} \cdot 3^{11} \cdot 7^{8} \cdot 19 \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10488$	$2$	$0$	$1$	$1$		$0$	$6389760$	$2.247562$	$30649603997375/42625916928$	$0.89030$	$3.86091$	$[1, -1, 0, 287523, -70365947]$	\(y^2+xy=x^3-x^2+287523x-70365947\)	10488.2.0.?	$[]$
422142.df1	422142df1	422142.df	422142df	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( - 2^{13} \cdot 3^{5} \cdot 7^{2} \cdot 19 \cdot 23^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10488$	$2$	$0$	$0.197611384$	$1$		$6$	$8785920$	$2.293049$	$30649603997375/42625916928$	$0.89030$	$3.87594$	$[1, 0, 0, 344897, 92380313]$	\(y^2+xy=x^3+344897x+92380313\)	10488.2.0.?	$[(1562, 65873)]$
440496.bl1	440496bl1	440496.bl	440496bl	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 19 \cdot 23 \)	\( - 2^{25} \cdot 3^{11} \cdot 7^{2} \cdot 19 \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10488$	$2$	$0$	$2.489678144$	$1$		$2$	$3194880$	$1.967754$	$30649603997375/42625916928$	$0.89030$	$3.56287$	$[0, 0, 0, 93885, -13116094]$	\(y^2=x^3+93885x-13116094\)	10488.2.0.?	$[(130, 1134)]$
458850.j1	458850j1	458850.j	458850j	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \cdot 23 \)	\( - 2^{13} \cdot 3^{5} \cdot 5^{6} \cdot 7^{2} \cdot 19 \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10488$	$2$	$0$	$4.476259426$	$1$		$2$	$2396160$	$1.530020$	$30649603997375/42625916928$	$0.89030$	$3.14878$	$[1, 1, 0, 16300, -942000]$	\(y^2+xy=x^3+x^2+16300x-942000\)	10488.2.0.?	$[(1095, 35940)]$