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
50008.g1	50008c1	50008.g	50008c	$1$	$1$	\( 2^{3} \cdot 7 \cdot 19 \cdot 47 \)	\( - 2^{4} \cdot 7 \cdot 19 \cdot 47 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12502$	$2$	$0$	$1$	$1$		$0$	$3840$	$-0.248955$	$-304900096/6251$	$0.69395$	$2.06497$	$[0, 1, 0, -35, -94]$	\(y^2=x^3+x^2-35x-94\)	12502.2.0.?	$[]$
100016.f1	100016f1	100016.f	100016f	$1$	$1$	\( 2^{4} \cdot 7 \cdot 19 \cdot 47 \)	\( - 2^{4} \cdot 7 \cdot 19 \cdot 47 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12502$	$2$	$0$	$1.646800567$	$1$		$2$	$7680$	$-0.248955$	$-304900096/6251$	$0.69395$	$1.94065$	$[0, -1, 0, -35, 94]$	\(y^2=x^3-x^2-35x+94\)	12502.2.0.?	$[(6, 8)]$
350056.f1	350056f1	350056.f	350056f	$1$	$1$	\( 2^{3} \cdot 7^{2} \cdot 19 \cdot 47 \)	\( - 2^{4} \cdot 7^{7} \cdot 19 \cdot 47 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12502$	$2$	$0$	$0.360399716$	$1$		$6$	$184320$	$0.724000$	$-304900096/6251$	$0.69395$	$2.66479$	$[0, -1, 0, -1731, 28792]$	\(y^2=x^3-x^2-1731x+28792\)	12502.2.0.?	$[(19, 49)]$
400064.h1	400064h1	400064.h	400064h	$1$	$1$	\( 2^{6} \cdot 7 \cdot 19 \cdot 47 \)	\( - 2^{10} \cdot 7 \cdot 19 \cdot 47 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12502$	$2$	$0$	$2.984517805$	$1$		$2$	$61440$	$0.097618$	$-304900096/6251$	$0.69395$	$2.05450$	$[0, -1, 0, -141, -611]$	\(y^2=x^3-x^2-141x-611\)	12502.2.0.?	$[(33, 172)]$
400064.bf1	400064bf1	400064.bf	400064bf	$1$	$1$	\( 2^{6} \cdot 7 \cdot 19 \cdot 47 \)	\( - 2^{10} \cdot 7 \cdot 19 \cdot 47 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12502$	$2$	$0$	$1.057760448$	$1$		$2$	$61440$	$0.097618$	$-304900096/6251$	$0.69395$	$2.05450$	$[0, 1, 0, -141, 611]$	\(y^2=x^3+x^2-141x+611\)	12502.2.0.?	$[(7, 4)]$
450072.j1	450072j1	450072.j	450072j	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 19 \cdot 47 \)	\( - 2^{4} \cdot 3^{6} \cdot 7 \cdot 19 \cdot 47 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12502$	$2$	$0$	$2.119976004$	$1$		$2$	$115200$	$0.300351$	$-304900096/6251$	$0.69395$	$2.22280$	$[0, 0, 0, -318, 2221]$	\(y^2=x^3-318x+2221\)	12502.2.0.?	$[(6, 23)]$