Elliptic curve search results

Results (11 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
26520.be1	26520h1	26520.be	26520h	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{8} \cdot 3^{13} \cdot 5 \cdot 13^{5} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6630$	$2$	$0$	$0.160035215$	$1$		$8$	$212160$	$1.771187$	$-1026767289066496/50316682419315$	$0.98357$	$4.37488$	$[0, 1, 0, -13345, -5497117]$	\(y^2=x^3+x^2-13345x-5497117\)	6630.2.0.?	$[(263, 3042)]$
53040.y1	53040n1	53040.y	53040n	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{8} \cdot 3^{13} \cdot 5 \cdot 13^{5} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6630$	$2$	$0$	$1$	$1$		$0$	$424320$	$1.771187$	$-1026767289066496/50316682419315$	$0.98357$	$4.09613$	$[0, -1, 0, -13345, 5497117]$	\(y^2=x^3-x^2-13345x+5497117\)	6630.2.0.?	$[]$
79560.s1	79560bl1	79560.s	79560bl	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{8} \cdot 3^{19} \cdot 5 \cdot 13^{5} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6630$	$2$	$0$	$1$	$1$		$0$	$1697280$	$2.320496$	$-1026767289066496/50316682419315$	$0.98357$	$4.53310$	$[0, 0, 0, -120108, 148302052]$	\(y^2=x^3-120108x+148302052\)	6630.2.0.?	$[]$
132600.d1	132600p1	132600.d	132600p	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{8} \cdot 3^{13} \cdot 5^{7} \cdot 13^{5} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6630$	$2$	$0$	$1$	$1$		$0$	$5091840$	$2.575905$	$-1026767289066496/50316682419315$	$0.98357$	$4.59663$	$[0, -1, 0, -333633, -686472363]$	\(y^2=x^3-x^2-333633x-686472363\)	6630.2.0.?	$[]$
159120.l1	159120dt1	159120.l	159120dt	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{8} \cdot 3^{19} \cdot 5 \cdot 13^{5} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6630$	$2$	$0$	$1.651868080$	$1$		$0$	$3394560$	$2.320496$	$-1026767289066496/50316682419315$	$0.98357$	$4.27076$	$[0, 0, 0, -120108, -148302052]$	\(y^2=x^3-120108x-148302052\)	6630.2.0.?	$[(2809/2, 85293/2)]$
212160.br1	212160ht1	212160.br	212160ht	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{14} \cdot 3^{13} \cdot 5 \cdot 13^{5} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6630$	$2$	$0$	$1$	$9$	$3$	$0$	$3394560$	$2.117760$	$-1026767289066496/50316682419315$	$0.98357$	$3.97224$	$[0, -1, 0, -53381, -43923555]$	\(y^2=x^3-x^2-53381x-43923555\)	6630.2.0.?	$[]$
212160.ed1	212160be1	212160.ed	212160be	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{14} \cdot 3^{13} \cdot 5 \cdot 13^{5} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6630$	$2$	$0$	$1$	$1$		$0$	$3394560$	$2.117760$	$-1026767289066496/50316682419315$	$0.98357$	$3.97224$	$[0, 1, 0, -53381, 43923555]$	\(y^2=x^3+x^2-53381x+43923555\)	6630.2.0.?	$[]$
265200.go1	265200go1	265200.go	265200go	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{8} \cdot 3^{13} \cdot 5^{7} \cdot 13^{5} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6630$	$2$	$0$	$1$	$1$		$0$	$10183680$	$2.575905$	$-1026767289066496/50316682419315$	$0.98357$	$4.34149$	$[0, 1, 0, -333633, 686472363]$	\(y^2=x^3+x^2-333633x+686472363\)	6630.2.0.?	$[]$
344760.bo1	344760bo1	344760.bo	344760bo	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( - 2^{8} \cdot 3^{13} \cdot 5 \cdot 13^{11} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6630$	$2$	$0$	$1$	$1$		$0$	$35642880$	$3.053661$	$-1026767289066496/50316682419315$	$0.98357$	$4.70179$	$[0, 1, 0, -2255361, -12068144685]$	\(y^2=x^3+x^2-2255361x-12068144685\)	6630.2.0.?	$[]$
397800.bt1	397800bt1	397800.bt	397800bt	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{8} \cdot 3^{19} \cdot 5^{7} \cdot 13^{5} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6630$	$2$	$0$	$1.638879265$	$1$		$4$	$40734720$	$3.125214$	$-1026767289066496/50316682419315$	$0.98357$	$4.71620$	$[0, 0, 0, -3002700, 18537756500]$	\(y^2=x^3-3002700x+18537756500\)	6630.2.0.?	$[(4690, 328050)]$
450840.e1	450840e1	450840.e	450840e	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{8} \cdot 3^{13} \cdot 5 \cdot 13^{5} \cdot 17^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6630$	$2$	$0$	$1$	$1$		$0$	$61102080$	$3.187794$	$-1026767289066496/50316682419315$	$0.98357$	$4.72854$	$[0, -1, 0, -3856801, -26984195195]$	\(y^2=x^3-x^2-3856801x-26984195195\)	6630.2.0.?	$[]$