Elliptic curve search results

Results (5 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
20510.f1	20510d1	20510.f	20510d	$1$	$1$	\( 2 \cdot 5 \cdot 7 \cdot 293 \)	\( 2^{10} \cdot 5 \cdot 7 \cdot 293 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$41020$	$2$	$0$	$1$	$1$		$0$	$15840$	$0.305472$	$23494409378721/10501120$	$0.85144$	$3.10090$	$[1, -1, 1, -597, -5459]$	\(y^2+xy+y=x^3-x^2-597x-5459\)	41020.2.0.?	$[]$
102550.a1	102550h1	102550.a	102550h	$1$	$1$	\( 2 \cdot 5^{2} \cdot 7 \cdot 293 \)	\( 2^{10} \cdot 5^{7} \cdot 7 \cdot 293 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$41020$	$2$	$0$	$1.309991358$	$1$		$14$	$380160$	$1.110191$	$23494409378721/10501120$	$0.85144$	$3.50529$	$[1, -1, 0, -14917, -697259]$	\(y^2+xy=x^3-x^2-14917x-697259\)	41020.2.0.?	$[(-71, 48), (-70, 51)]$
143570.k1	143570b1	143570.k	143570b	$1$	$1$	\( 2 \cdot 5 \cdot 7^{2} \cdot 293 \)	\( 2^{10} \cdot 5 \cdot 7^{7} \cdot 293 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$41020$	$2$	$0$	$0.285377123$	$1$		$22$	$760320$	$1.278427$	$23494409378721/10501120$	$0.85144$	$3.57598$	$[1, -1, 1, -29238, 1930821]$	\(y^2+xy+y=x^3-x^2-29238x+1930821\)	41020.2.0.?	$[(93, 51), (191, 1717)]$
164080.b1	164080a1	164080.b	164080a	$1$	$1$	\( 2^{4} \cdot 5 \cdot 7 \cdot 293 \)	\( 2^{22} \cdot 5 \cdot 7 \cdot 293 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$41020$	$2$	$0$	$2.235596318$	$1$		$2$	$380160$	$0.998619$	$23494409378721/10501120$	$0.85144$	$3.25660$	$[0, 0, 0, -9547, 358906]$	\(y^2=x^3-9547x+358906\)	41020.2.0.?	$[(55, 14)]$
184590.k1	184590u1	184590.k	184590u	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 293 \)	\( 2^{10} \cdot 3^{6} \cdot 5 \cdot 7 \cdot 293 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$41020$	$2$	$0$	$1$	$1$		$0$	$221760$	$0.854778$	$23494409378721/10501120$	$0.85144$	$3.08261$	$[1, -1, 0, -5370, 152756]$	\(y^2+xy=x^3-x^2-5370x+152756\)	41020.2.0.?	$[]$