Elliptic curve search results

Results (12 matches)

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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
18176.e2	18176r2	18176.e	18176r	$3$	$25$	\( 2^{8} \cdot 71 \)	\( 2^{9} \cdot 71^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.30.0.1	5Cs	$28400$	$1200$	$37$	$0.427635389$	$1$		$2$	$14720$	$1.031223$	$17406197775296/1804229351$	$0.95568$	$3.74457$	$[0, -1, 0, -4319, 100435]$	\(y^2=x^3-x^2-4319x+100435\)	5.30.0.a.1, 40.60.0.b.1, 80.120.0.?, 568.2.0.?, 1420.60.2.?, $\ldots$	$[(26, 71)]$
18176.g2	18176c2	18176.g	18176c	$3$	$25$	\( 2^{8} \cdot 71 \)	\( 2^{15} \cdot 71^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.30.0.1	5Cs	$28400$	$1200$	$37$	$4.566301900$	$1$		$2$	$29440$	$1.377798$	$17406197775296/1804229351$	$0.95568$	$4.16860$	$[0, -1, 0, -17277, -786203]$	\(y^2=x^3-x^2-17277x-786203\)	5.30.0.a.1, 40.60.0.b.1, 80.120.0.?, 568.2.0.?, 1420.60.2.?, $\ldots$	$[(-92, 127)]$
18176.n2	18176b2	18176.n	18176b	$3$	$25$	\( 2^{8} \cdot 71 \)	\( 2^{9} \cdot 71^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.30.0.1	5Cs	$28400$	$1200$	$37$	$3.458040121$	$1$		$2$	$14720$	$1.031223$	$17406197775296/1804229351$	$0.95568$	$3.74457$	$[0, 1, 0, -4319, -100435]$	\(y^2=x^3+x^2-4319x-100435\)	5.30.0.a.1, 40.60.0.b.1, 80.120.0.?, 568.2.0.?, 1420.60.2.?, $\ldots$	$[(-31, 68)]$
18176.p2	18176q2	18176.p	18176q	$3$	$25$	\( 2^{8} \cdot 71 \)	\( 2^{15} \cdot 71^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.30.0.1	5Cs	$28400$	$1200$	$37$	$1.193735532$	$1$		$0$	$29440$	$1.377798$	$17406197775296/1804229351$	$0.95568$	$4.16860$	$[0, 1, 0, -17277, 786203]$	\(y^2=x^3+x^2-17277x+786203\)	5.30.0.a.1, 40.60.0.b.1, 80.120.0.?, 568.2.0.?, 1420.60.2.?, $\ldots$	$[(1453/3, 40328/3)]$
163584.d2	163584x2	163584.d	163584x	$3$	$25$	\( 2^{8} \cdot 3^{2} \cdot 71 \)	\( 2^{15} \cdot 3^{6} \cdot 71^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.30.0.1	5Cs	$85200$	$1200$	$37$	$1.273918744$	$1$		$2$	$883200$	$1.927103$	$17406197775296/1804229351$	$0.95568$	$3.95472$	$[0, 0, 0, -155496, 21382976]$	\(y^2=x^3-155496x+21382976\)	5.30.0.a.1, 40.60.0.b.1, 240.120.0.?, 568.2.0.?, 1420.60.2.?, $\ldots$	$[(296, 1136)]$
163584.h2	163584b2	163584.h	163584b	$3$	$25$	\( 2^{8} \cdot 3^{2} \cdot 71 \)	\( 2^{15} \cdot 3^{6} \cdot 71^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.30.0.1	5Cs	$85200$	$1200$	$37$	$13.36899596$	$1$		$0$	$883200$	$1.927103$	$17406197775296/1804229351$	$0.95568$	$3.95472$	$[0, 0, 0, -155496, -21382976]$	\(y^2=x^3-155496x-21382976\)	5.30.0.a.1, 40.60.0.b.1, 240.120.0.?, 568.2.0.?, 1420.60.2.?, $\ldots$	$[(-407991/49, 42939833/49)]$
163584.bf2	163584bm2	163584.bf	163584bm	$3$	$25$	\( 2^{8} \cdot 3^{2} \cdot 71 \)	\( 2^{9} \cdot 3^{6} \cdot 71^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.30.0.1	5Cs	$85200$	$1200$	$37$	$1.512175207$	$1$		$2$	$441600$	$1.580530$	$17406197775296/1804229351$	$0.95568$	$3.60829$	$[0, 0, 0, -38874, 2672872]$	\(y^2=x^3-38874x+2672872\)	5.30.0.a.1, 40.60.0.b.1, 240.120.0.?, 568.2.0.?, 1420.60.2.?, $\ldots$	$[(6, 1562)]$
163584.bl2	163584r2	163584.bl	163584r	$3$	$25$	\( 2^{8} \cdot 3^{2} \cdot 71 \)	\( 2^{9} \cdot 3^{6} \cdot 71^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.30.0.1	5Cs	$85200$	$1200$	$37$	$15.71874986$	$1$		$0$	$441600$	$1.580530$	$17406197775296/1804229351$	$0.95568$	$3.60829$	$[0, 0, 0, -38874, -2672872]$	\(y^2=x^3-38874x-2672872\)	5.30.0.a.1, 40.60.0.b.1, 240.120.0.?, 568.2.0.?, 1420.60.2.?, $\ldots$	$[(9436564/21, 28986937804/21)]$
454400.m2	454400m2	454400.m	454400m	$3$	$25$	\( 2^{8} \cdot 5^{2} \cdot 71 \)	\( 2^{15} \cdot 5^{6} \cdot 71^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.30.0.1	5Cs	$28400$	$1200$	$37$	$0.797742574$	$1$		$2$	$3768320$	$2.182514$	$17406197775296/1804229351$	$0.95568$	$3.87984$	$[0, -1, 0, -431933, 99139237]$	\(y^2=x^3-x^2-431933x+99139237\)	5.30.0.a.1, 40.60.0.b.1, 80.120.0.?, 568.2.0.?, 1420.60.2.?, $\ldots$	$[(-453, 14200)]$
454400.u2	454400u2	454400.u	454400u	$3$	$25$	\( 2^{8} \cdot 5^{2} \cdot 71 \)	\( 2^{9} \cdot 5^{6} \cdot 71^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.30.0.1	5Cs	$28400$	$1200$	$37$	$7.754732272$	$1$		$0$	$1884160$	$1.835943$	$17406197775296/1804229351$	$0.95568$	$3.56059$	$[0, -1, 0, -107983, -12338413]$	\(y^2=x^3-x^2-107983x-12338413\)	5.30.0.a.1, 40.60.0.b.1, 80.120.0.?, 568.2.0.?, 1420.60.2.?, $\ldots$	$[(-10702/7, 302875/7)]$
454400.bb2	454400bb2	454400.bb	454400bb	$3$	$25$	\( 2^{8} \cdot 5^{2} \cdot 71 \)	\( 2^{9} \cdot 5^{6} \cdot 71^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.30.0.1	5Cs	$28400$	$1200$	$37$	$0.953846594$	$1$		$2$	$1884160$	$1.835943$	$17406197775296/1804229351$	$0.95568$	$3.56059$	$[0, 1, 0, -107983, 12338413]$	\(y^2=x^3+x^2-107983x+12338413\)	5.30.0.a.1, 40.60.0.b.1, 80.120.0.?, 568.2.0.?, 1420.60.2.?, $\ldots$	$[(-156, 5041)]$
454400.bj2	454400bj2	454400.bj	454400bj	$3$	$25$	\( 2^{8} \cdot 5^{2} \cdot 71 \)	\( 2^{15} \cdot 5^{6} \cdot 71^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.30.0.1	5Cs	$28400$	$1200$	$37$	$15.89933783$	$1$		$0$	$3768320$	$2.182514$	$17406197775296/1804229351$	$0.95568$	$3.87984$	$[0, 1, 0, -431933, -99139237]$	\(y^2=x^3+x^2-431933x-99139237\)	5.30.0.a.1, 40.60.0.b.1, 80.120.0.?, 568.2.0.?, 1420.60.2.?, $\ldots$	$[(-22150939/217, 4258422568/217)]$

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