Elliptic curve search results

Results (14 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
17850.w1	17850t1	17850.w	17850t	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17 \)	\( - 2^{6} \cdot 3^{5} \cdot 5^{2} \cdot 7 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1428$	$2$	$0$	$0.543376611$	$1$		$6$	$4320$	$0.155720$	$-417267265/1850688$	$0.87112$	$2.57691$	$[1, 0, 1, -46, -352]$	\(y^2+xy+y=x^3-46x-352\)	1428.2.0.?	$[(13, 29)]$
17850.bg1	17850bn1	17850.bg	17850bn	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17 \)	\( - 2^{6} \cdot 3^{5} \cdot 5^{8} \cdot 7 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1428$	$2$	$0$	$1$	$1$		$0$	$21600$	$0.960439$	$-417267265/1850688$	$0.87112$	$3.56331$	$[1, 1, 1, -1138, -43969]$	\(y^2+xy+y=x^3+x^2-1138x-43969\)	1428.2.0.?	$[]$
53550.t1	53550cd1	53550.t	53550cd	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \)	\( - 2^{6} \cdot 3^{11} \cdot 5^{8} \cdot 7 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1428$	$2$	$0$	$0.780115360$	$1$		$4$	$172800$	$1.509745$	$-417267265/1850688$	$0.87112$	$3.80917$	$[1, -1, 0, -10242, 1176916]$	\(y^2+xy=x^3-x^2-10242x+1176916\)	1428.2.0.?	$[(44, 878)]$
53550.eh1	53550dy1	53550.eh	53550dy	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \)	\( - 2^{6} \cdot 3^{11} \cdot 5^{2} \cdot 7 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1428$	$2$	$0$	$0.434071889$	$1$		$6$	$34560$	$0.705026$	$-417267265/1850688$	$0.87112$	$2.92229$	$[1, -1, 1, -410, 9497]$	\(y^2+xy+y=x^3-x^2-410x+9497\)	1428.2.0.?	$[(15, 73)]$
124950.t1	124950y1	124950.t	124950y	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{6} \cdot 3^{5} \cdot 5^{2} \cdot 7^{7} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1428$	$2$	$0$	$1.508889661$	$1$		$2$	$207360$	$1.128675$	$-417267265/1850688$	$0.87112$	$3.14450$	$[1, 1, 0, -2230, 118420]$	\(y^2+xy=x^3+x^2-2230x+118420\)	1428.2.0.?	$[(-36, 410)]$
124950.hs1	124950ix1	124950.hs	124950ix	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{6} \cdot 3^{5} \cdot 5^{8} \cdot 7^{7} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1428$	$2$	$0$	$0.126449877$	$1$		$8$	$1036800$	$1.933393$	$-417267265/1850688$	$0.87112$	$3.96734$	$[1, 0, 0, -55763, 14914017]$	\(y^2+xy=x^3-55763x+14914017\)	1428.2.0.?	$[(-248, 3799)]$
142800.bu1	142800fa1	142800.bu	142800fa	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17 \)	\( - 2^{18} \cdot 3^{5} \cdot 5^{2} \cdot 7 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1428$	$2$	$0$	$1$	$1$		$0$	$103680$	$0.848867$	$-417267265/1850688$	$0.87112$	$2.82623$	$[0, -1, 0, -728, 22512]$	\(y^2=x^3-x^2-728x+22512\)	1428.2.0.?	$[]$
142800.is1	142800h1	142800.is	142800h	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17 \)	\( - 2^{18} \cdot 3^{5} \cdot 5^{8} \cdot 7 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1428$	$2$	$0$	$1$	$1$		$0$	$518400$	$1.653585$	$-417267265/1850688$	$0.87112$	$3.63982$	$[0, 1, 0, -18208, 2777588]$	\(y^2=x^3+x^2-18208x+2777588\)	1428.2.0.?	$[]$
303450.o1	303450o1	303450.o	303450o	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	\( - 2^{6} \cdot 3^{5} \cdot 5^{2} \cdot 7 \cdot 17^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1428$	$2$	$0$	$6.117314930$	$1$		$0$	$1244160$	$1.572327$	$-417267265/1850688$	$0.87112$	$3.34522$	$[1, 1, 0, -13155, -1714995]$	\(y^2+xy=x^3+x^2-13155x-1714995\)	1428.2.0.?	$[(19694/5, 2682393/5)]$
303450.gu1	303450gu1	303450.gu	303450gu	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	\( - 2^{6} \cdot 3^{5} \cdot 5^{8} \cdot 7 \cdot 17^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1428$	$2$	$0$	$0.575769955$	$1$		$2$	$6220800$	$2.377045$	$-417267265/1850688$	$0.87112$	$4.11022$	$[1, 0, 0, -328888, -213716608]$	\(y^2+xy=x^3-328888x-213716608\)	1428.2.0.?	$[(3152, 171824)]$
374850.fm1	374850fm1	374850.fm	374850fm	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{6} \cdot 3^{11} \cdot 5^{8} \cdot 7^{7} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1428$	$2$	$0$	$2.548599864$	$1$		$2$	$8294400$	$2.482700$	$-417267265/1850688$	$0.87112$	$4.14134$	$[1, -1, 0, -501867, -402678459]$	\(y^2+xy=x^3-x^2-501867x-402678459\)	1428.2.0.?	$[(1185, 25206)]$
374850.nc1	374850nc1	374850.nc	374850nc	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{6} \cdot 3^{11} \cdot 5^{2} \cdot 7^{7} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1428$	$2$	$0$	$1$	$1$		$0$	$1658880$	$1.677980$	$-417267265/1850688$	$0.87112$	$3.38893$	$[1, -1, 1, -20075, -3217413]$	\(y^2+xy+y=x^3-x^2-20075x-3217413\)	1428.2.0.?	$[]$
428400.cq1	428400cq1	428400.cq	428400cq	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \)	\( - 2^{18} \cdot 3^{11} \cdot 5^{2} \cdot 7 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1428$	$2$	$0$	$1$	$1$		$0$	$829440$	$1.398172$	$-417267265/1850688$	$0.87112$	$3.09511$	$[0, 0, 0, -6555, -601270]$	\(y^2=x^3-6555x-601270\)	1428.2.0.?	$[]$
428400.jt1	428400jt1	428400.jt	428400jt	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \)	\( - 2^{18} \cdot 3^{11} \cdot 5^{8} \cdot 7 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1428$	$2$	$0$	$3.332059605$	$1$		$2$	$4147200$	$2.202892$	$-417267265/1850688$	$0.87112$	$3.83977$	$[0, 0, 0, -163875, -75158750]$	\(y^2=x^3-163875x-75158750\)	1428.2.0.?	$[(5375, 392850)]$