Elliptic curve search results

Results (4 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
481650.n1	481650n1	481650.n	481650n	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 19 \)	\( - 2^{2} \cdot 3^{2} \cdot 5^{8} \cdot 13^{3} \cdot 19^{4} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$0.493685637$	$1$		$20$	$2764800$	$1.673567$	$26796875/4691556$	$1.08749$	$3.31549$	$[1, 1, 0, 5925, -3045375]$	\(y^2+xy=x^3+x^2+5925x-3045375\)	52.2.0.a.1	$[(1110, 36495), (160, 1345)]$
481650.cz1	481650cz1	481650.cz	481650cz	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 19 \)	\( - 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 13^{9} \cdot 19^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$3.584004579$	$1$		$2$	$7188480$	$2.151321$	$26796875/4691556$	$1.08749$	$3.75363$	$[1, 0, 1, 40049, -53565562]$	\(y^2+xy+y=x^3+40049x-53565562\)	52.2.0.a.1	$[(3901, 241916)]$
481650.fz1	481650fz1	481650.fz	481650fz	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 19 \)	\( - 2^{2} \cdot 3^{2} \cdot 5^{8} \cdot 13^{9} \cdot 19^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$1$	$4$	$2$	$0$	$35942400$	$2.956043$	$26796875/4691556$	$1.08749$	$4.49162$	$[1, 1, 1, 1001237, -6695695219]$	\(y^2+xy+y=x^3+x^2+1001237x-6695695219\)	52.2.0.a.1	$[]$
481650.ie1	481650ie1	481650.ie	481650ie	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 19 \)	\( - 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 13^{3} \cdot 19^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$1.403326122$	$1$		$0$	$552960$	$0.868848$	$26796875/4691556$	$1.08749$	$2.57749$	$[1, 0, 0, 237, -24363]$	\(y^2+xy=x^3+237x-24363\)	52.2.0.a.1	$[(147/2, 1335/2)]$