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
13260.a1	13260e1	13260.a	13260e	$1$	$1$	\( 2^{2} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{4} \cdot 3 \cdot 5^{3} \cdot 13^{2} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$1.725246951$	$1$		$2$	$4320$	$0.107087$	$-4447738624/1077375$	$0.78128$	$2.66925$	$[0, -1, 0, -86, -339]$	\(y^2=x^3-x^2-86x-339\)	510.2.0.?	$[(15, 39)]$
39780.n1	39780v1	39780.n	39780v	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{4} \cdot 3^{7} \cdot 5^{3} \cdot 13^{2} \cdot 17 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$0.097508945$	$1$		$28$	$34560$	$0.656393$	$-4447738624/1077375$	$0.78128$	$3.01475$	$[0, 0, 0, -777, 9929]$	\(y^2=x^3-777x+9929\)	510.2.0.?	$[(13, 45), (-5, 117)]$
53040.cg1	53040cm1	53040.cg	53040cm	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{4} \cdot 3 \cdot 5^{3} \cdot 13^{2} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$1$	$1$		$0$	$17280$	$0.107087$	$-4447738624/1077375$	$0.78128$	$2.32911$	$[0, 1, 0, -86, 339]$	\(y^2=x^3+x^2-86x+339\)	510.2.0.?	$[]$
66300.bq1	66300bc1	66300.bq	66300bc	$1$	$1$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{4} \cdot 3 \cdot 5^{9} \cdot 13^{2} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$1$	$1$		$0$	$103680$	$0.911806$	$-4447738624/1077375$	$0.78128$	$3.15211$	$[0, 1, 0, -2158, -46687]$	\(y^2=x^3+x^2-2158x-46687\)	510.2.0.?	$[]$
159120.eq1	159120bb1	159120.eq	159120bb	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{4} \cdot 3^{7} \cdot 5^{3} \cdot 13^{2} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$1$	$1$		$0$	$138240$	$0.656393$	$-4447738624/1077375$	$0.78128$	$2.66582$	$[0, 0, 0, -777, -9929]$	\(y^2=x^3-777x-9929\)	510.2.0.?	$[]$
172380.r1	172380ba1	172380.r	172380ba	$1$	$1$	\( 2^{2} \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( - 2^{4} \cdot 3 \cdot 5^{3} \cdot 13^{8} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$1$	$1$		$0$	$725760$	$1.389563$	$-4447738624/1077375$	$0.78128$	$3.37779$	$[0, -1, 0, -14590, -803063]$	\(y^2=x^3-x^2-14590x-803063\)	510.2.0.?	$[]$
198900.cs1	198900ce1	198900.cs	198900ce	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{4} \cdot 3^{7} \cdot 5^{9} \cdot 13^{2} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$1.179255276$	$1$		$2$	$829440$	$1.461113$	$-4447738624/1077375$	$0.78128$	$3.40855$	$[0, 0, 0, -19425, 1241125]$	\(y^2=x^3-19425x+1241125\)	510.2.0.?	$[(140, 1125)]$
212160.dw1	212160dc1	212160.dw	212160dc	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{10} \cdot 3 \cdot 5^{3} \cdot 13^{2} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$1.049047310$	$1$		$2$	$138240$	$0.453661$	$-4447738624/1077375$	$0.78128$	$2.40494$	$[0, -1, 0, -345, 3057]$	\(y^2=x^3-x^2-345x+3057\)	510.2.0.?	$[(-16, 65)]$
212160.fw1	212160eg1	212160.fw	212160eg	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{10} \cdot 3 \cdot 5^{3} \cdot 13^{2} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$2.703459292$	$1$		$2$	$138240$	$0.453661$	$-4447738624/1077375$	$0.78128$	$2.40494$	$[0, 1, 0, -345, -3057]$	\(y^2=x^3+x^2-345x-3057\)	510.2.0.?	$[(146, 1755)]$
225420.bp1	225420i1	225420.bp	225420i	$1$	$1$	\( 2^{2} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{4} \cdot 3 \cdot 5^{3} \cdot 13^{2} \cdot 17^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$1$	$1$		$0$	$1244160$	$1.523693$	$-4447738624/1077375$	$0.78128$	$3.43486$	$[0, 1, 0, -24950, -1815027]$	\(y^2=x^3+x^2-24950x-1815027\)	510.2.0.?	$[]$
265200.b1	265200b1	265200.b	265200b	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{4} \cdot 3 \cdot 5^{9} \cdot 13^{2} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$1.275336698$	$1$		$2$	$414720$	$0.911806$	$-4447738624/1077375$	$0.78128$	$2.80220$	$[0, -1, 0, -2158, 46687]$	\(y^2=x^3-x^2-2158x+46687\)	510.2.0.?	$[(57, 325)]$