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
164730.b1	164730cy1	164730.b	164730cy	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 17^{2} \cdot 19 \)	\( - 2^{12} \cdot 3^{5} \cdot 5^{2} \cdot 17^{4} \cdot 19^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1.537073280$	$1$		$2$	$1762560$	$1.782032$	$-17960249684809/170673868800$	$1.06573$	$3.72207$	$[1, 1, 0, -23848, -5926592]$	\(y^2+xy=x^3+x^2-23848x-5926592\)	228.2.0.?	$[(464, 8888)]$
164730.ca1	164730bw1	164730.ca	164730bw	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 17^{2} \cdot 19 \)	\( - 2^{12} \cdot 3^{5} \cdot 5^{2} \cdot 17^{10} \cdot 19^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1$	$1$		$0$	$29963520$	$3.198639$	$-17960249684809/170673868800$	$1.06573$	$5.13725$	$[1, 0, 1, -6892223, -29069101294]$	\(y^2+xy+y=x^3-6892223x-29069101294\)	228.2.0.?	$[]$
494190.ek1	494190ek1	494190.ek	494190ek	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 17^{2} \cdot 19 \)	\( - 2^{12} \cdot 3^{11} \cdot 5^{2} \cdot 17^{10} \cdot 19^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1$	$1$		$0$	$239708160$	$3.747944$	$-17960249684809/170673868800$	$1.06573$	$5.20955$	$[1, -1, 1, -62030003, 784865734931]$	\(y^2+xy+y=x^3-x^2-62030003x+784865734931\)	228.2.0.?	$[]$
494190.eq1	494190eq1	494190.eq	494190eq	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 17^{2} \cdot 19 \)	\( - 2^{12} \cdot 3^{11} \cdot 5^{2} \cdot 17^{4} \cdot 19^{3} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$0.129565889$	$1$		$32$	$14100480$	$2.331337$	$-17960249684809/170673868800$	$1.06573$	$3.91295$	$[1, -1, 1, -214637, 159803349]$	\(y^2+xy+y=x^3-x^2-214637x+159803349\)	228.2.0.?	$[(2597, 129516), (-481, 12552)]$