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
37830.d1	37830c1	37830.d	37830c	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 \)	\( - 2^{2} \cdot 3^{3} \cdot 5^{3} \cdot 13^{5} \cdot 97 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$37830$	$2$	$0$	$0.342674819$	$1$		$6$	$96480$	$1.241228$	$-2442969414055753129/486208183500$	$0.92397$	$4.01676$	$[1, 1, 0, -28058, 1797648]$	\(y^2+xy=x^3+x^2-28058x+1797648\)	37830.2.0.?	$[(106, 116)]$
113490.bn1	113490bm1	113490.bn	113490bm	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 97 \)	\( - 2^{2} \cdot 3^{9} \cdot 5^{3} \cdot 13^{5} \cdot 97 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$37830$	$2$	$0$	$1$	$1$		$0$	$771840$	$1.790535$	$-2442969414055753129/486208183500$	$0.92397$	$4.20395$	$[1, -1, 1, -252527, -48789021]$	\(y^2+xy+y=x^3-x^2-252527x-48789021\)	37830.2.0.?	$[]$
189150.cp1	189150i1	189150.cp	189150i	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \cdot 97 \)	\( - 2^{2} \cdot 3^{3} \cdot 5^{9} \cdot 13^{5} \cdot 97 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$37830$	$2$	$0$	$1.395688075$	$1$		$2$	$2315520$	$2.045948$	$-2442969414055753129/486208183500$	$0.92397$	$4.27946$	$[1, 0, 0, -701463, 226108917]$	\(y^2+xy=x^3-701463x+226108917\)	37830.2.0.?	$[(522, 1239)]$
302640.br1	302640br1	302640.br	302640br	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 97 \)	\( - 2^{14} \cdot 3^{3} \cdot 5^{3} \cdot 13^{5} \cdot 97 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$37830$	$2$	$0$	$1.636997689$	$1$		$2$	$2315520$	$1.934376$	$-2442969414055753129/486208183500$	$0.92397$	$4.01400$	$[0, 1, 0, -448936, -115947340]$	\(y^2=x^3+x^2-448936x-115947340\)	37830.2.0.?	$[(926, 16224)]$
491790.ce1	491790ce1	491790.ce	491790ce	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 97 \)	\( - 2^{2} \cdot 3^{3} \cdot 5^{3} \cdot 13^{11} \cdot 97 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$37830$	$2$	$0$	$1.776215132$	$1$		$0$	$16208640$	$2.523705$	$-2442969414055753129/486208183500$	$0.92397$	$4.40490$	$[1, 1, 1, -4741890, 3973141947]$	\(y^2+xy+y=x^3+x^2-4741890x+3973141947\)	37830.2.0.?	$[(8053/3, 559127/3)]$