Elliptic curve search results

Results (6 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
27448.a1	27448d1	27448.a	27448d	$1$	$1$	\( 2^{3} \cdot 47 \cdot 73 \)	\( - 2^{8} \cdot 47 \cdot 73 \)	$3$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6862$	$2$	$0$	$0.480174625$	$1$		$38$	$14080$	$-0.058945$	$-212992848/3431$	$0.68338$	$2.42165$	$[0, 0, 0, -79, 274]$	\(y^2=x^3-79x+274\)	6862.2.0.?	$[(5, 2), (3, 8), (7, 8)]$
54896.n1	54896d1	54896.n	54896d	$1$	$1$	\( 2^{4} \cdot 47 \cdot 73 \)	\( - 2^{8} \cdot 47 \cdot 73 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6862$	$2$	$0$	$6.726540735$	$1$		$0$	$28160$	$-0.058945$	$-212992848/3431$	$0.68338$	$2.26784$	$[0, 0, 0, -79, -274]$	\(y^2=x^3-79x-274\)	6862.2.0.?	$[(649/6, 13933/6)]$
219584.e1	219584b1	219584.e	219584b	$1$	$1$	\( 2^{6} \cdot 47 \cdot 73 \)	\( - 2^{14} \cdot 47 \cdot 73 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6862$	$2$	$0$	$1$	$1$		$0$	$225280$	$0.287628$	$-212992848/3431$	$0.68338$	$2.35036$	$[0, 0, 0, -316, -2192]$	\(y^2=x^3-316x-2192\)	6862.2.0.?	$[]$
219584.bg1	219584bg1	219584.bg	219584bg	$1$	$1$	\( 2^{6} \cdot 47 \cdot 73 \)	\( - 2^{14} \cdot 47 \cdot 73 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6862$	$2$	$0$	$1$	$1$		$0$	$225280$	$0.287628$	$-212992848/3431$	$0.68338$	$2.35036$	$[0, 0, 0, -316, 2192]$	\(y^2=x^3-316x+2192\)	6862.2.0.?	$[]$
247032.k1	247032k1	247032.k	247032k	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 47 \cdot 73 \)	\( - 2^{8} \cdot 3^{6} \cdot 47 \cdot 73 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6862$	$2$	$0$	$1$	$4$	$2$	$0$	$197120$	$0.490361$	$-212992848/3431$	$0.68338$	$2.52399$	$[0, 0, 0, -711, -7398]$	\(y^2=x^3-711x-7398\)	6862.2.0.?	$[]$
494064.bo1	494064bo1	494064.bo	494064bo	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 47 \cdot 73 \)	\( - 2^{8} \cdot 3^{6} \cdot 47 \cdot 73 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6862$	$2$	$0$	$4.045356230$	$1$		$0$	$394240$	$0.490361$	$-212992848/3431$	$0.68338$	$2.39055$	$[0, 0, 0, -711, 7398]$	\(y^2=x^3-711x+7398\)	6862.2.0.?	$[(73/2, 179/2)]$