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
73689.a1	73689i1	73689.a	73689i	$1$	$1$	\( 3 \cdot 7 \cdot 11^{2} \cdot 29 \)	\( - 3^{6} \cdot 7^{7} \cdot 11^{4} \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$406$	$2$	$0$	$9.250183685$	$1$		$0$	$483840$	$1.825443$	$-289531596860402017/17410522563$	$0.97095$	$4.44330$	$[1, 1, 1, -337169, -75500710]$	\(y^2+xy+y=x^3+x^2-337169x-75500710\)	406.2.0.?	$[(37626/7, 3611404/7)]$
73689.u1	73689n1	73689.u	73689n	$1$	$1$	\( 3 \cdot 7 \cdot 11^{2} \cdot 29 \)	\( - 3^{6} \cdot 7^{7} \cdot 11^{10} \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$406$	$2$	$0$	$2.132271636$	$1$		$2$	$5322240$	$3.024391$	$-289531596860402017/17410522563$	$0.97095$	$5.72701$	$[1, 1, 0, -40797451, 100287457516]$	\(y^2+xy=x^3+x^2-40797451x+100287457516\)	406.2.0.?	$[(3700, 796)]$
221067.n1	221067i1	221067.n	221067i	$1$	$1$	\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \)	\( - 3^{12} \cdot 7^{7} \cdot 11^{10} \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$406$	$2$	$0$	$12.48266756$	$1$		$0$	$42577920$	$3.573696$	$-289531596860402017/17410522563$	$0.97095$	$5.75138$	$[1, -1, 1, -367177064, -2708128529994]$	\(y^2+xy+y=x^3-x^2-367177064x-2708128529994\)	406.2.0.?	$[(60405902/23, 461695137798/23)]$
221067.bf1	221067bh1	221067.bf	221067bh	$1$	$1$	\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \)	\( - 3^{12} \cdot 7^{7} \cdot 11^{4} \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$406$	$2$	$0$	$2.779296245$	$1$		$2$	$3870720$	$2.374748$	$-289531596860402017/17410522563$	$0.97095$	$4.58227$	$[1, -1, 0, -3034521, 2035484644]$	\(y^2+xy=x^3-x^2-3034521x+2035484644\)	406.2.0.?	$[(980, 968)]$