Elliptic curve search results

Results (8 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
47190.k1	47190j1	47190.k	47190j	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2^{19} \cdot 3 \cdot 5^{3} \cdot 11^{9} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$2.436671612$	$1$		$4$	$1083456$	$2.305176$	$-4073768343611/2555904000$	$0.93827$	$4.77154$	$[1, 1, 0, -442862, 163578804]$	\(y^2+xy=x^3+x^2-442862x+163578804\)	17160.2.0.?	$[(-797, 3726)]$
47190.cg1	47190bw1	47190.cg	47190bw	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2^{19} \cdot 3 \cdot 5^{3} \cdot 11^{3} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$0.280672023$	$1$		$6$	$98496$	$1.106228$	$-4073768343611/2555904000$	$0.93827$	$3.43466$	$[1, 1, 1, -3660, -124563]$	\(y^2+xy+y=x^3+x^2-3660x-124563\)	17160.2.0.?	$[(237, 3401)]$
141570.be1	141570em1	141570.be	141570em	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2^{19} \cdot 3^{7} \cdot 5^{3} \cdot 11^{3} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$1$	$1$		$0$	$787968$	$1.655535$	$-4073768343611/2555904000$	$0.93827$	$3.67228$	$[1, -1, 0, -32940, 3330256]$	\(y^2+xy=x^3-x^2-32940x+3330256\)	17160.2.0.?	$[]$
141570.cv1	141570bi1	141570.cv	141570bi	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2^{19} \cdot 3^{7} \cdot 5^{3} \cdot 11^{9} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$1$	$1$		$0$	$8667648$	$2.854481$	$-4073768343611/2555904000$	$0.93827$	$4.88533$	$[1, -1, 1, -3985763, -4420613469]$	\(y^2+xy+y=x^3-x^2-3985763x-4420613469\)	17160.2.0.?	$[]$
235950.cp1	235950cp1	235950.cp	235950cp	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( - 2^{19} \cdot 3 \cdot 5^{9} \cdot 11^{3} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$12.32418599$	$1$		$0$	$2363904$	$1.910948$	$-4073768343611/2555904000$	$0.93827$	$3.76840$	$[1, 0, 1, -91501, -15387352]$	\(y^2+xy+y=x^3-91501x-15387352\)	17160.2.0.?	$[(3574962/29, 6689920094/29)]$
235950.is1	235950is1	235950.is	235950is	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( - 2^{19} \cdot 3 \cdot 5^{9} \cdot 11^{9} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$2.390375444$	$1$		$2$	$26002944$	$3.109894$	$-4073768343611/2555904000$	$0.93827$	$4.93135$	$[1, 0, 0, -11071563, 20469493617]$	\(y^2+xy=x^3-11071563x+20469493617\)	17160.2.0.?	$[(2672, 98489)]$
377520.ge1	377520ge1	377520.ge	377520ge	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2^{31} \cdot 3 \cdot 5^{3} \cdot 11^{3} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$1$	$1$		$0$	$2363904$	$1.799376$	$-4073768343611/2555904000$	$0.93827$	$3.52621$	$[0, 1, 0, -58560, 7854900]$	\(y^2=x^3+x^2-58560x+7854900\)	17160.2.0.?	$[]$
377520.hr1	377520hr1	377520.hr	377520hr	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2^{31} \cdot 3 \cdot 5^{3} \cdot 11^{9} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$13.44301478$	$1$		$0$	$26002944$	$2.998325$	$-4073768343611/2555904000$	$0.93827$	$4.64660$	$[0, 1, 0, -7085800, -10483215052]$	\(y^2=x^3+x^2-7085800x-10483215052\)	17160.2.0.?	$[(5209857886/1269, 44058500485120/1269)]$