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
33640.d1	33640i1	33640.d	33640i	$1$	$1$	\( 2^{3} \cdot 5 \cdot 29^{2} \)	\( 2^{11} \cdot 5^{4} \cdot 29^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.2		$8$	$2$	$0$	$1$	$1$		$0$	$389760$	$2.112461$	$1414562/625$	$1.05374$	$4.67458$	$[0, 1, 0, -235760, 21349408]$	\(y^2=x^3+x^2-235760x+21349408\)	8.2.0.b.1	$[]$
33640.i1	33640c1	33640.i	33640c	$1$	$1$	\( 2^{3} \cdot 5 \cdot 29^{2} \)	\( 2^{11} \cdot 5^{4} \cdot 29^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.2		$8$	$2$	$0$	$1$	$1$		$0$	$13440$	$0.428813$	$1414562/625$	$1.05374$	$2.73628$	$[0, -1, 0, -280, 972]$	\(y^2=x^3-x^2-280x+972\)	8.2.0.b.1	$[]$
67280.e1	67280h1	67280.e	67280h	$1$	$1$	\( 2^{4} \cdot 5 \cdot 29^{2} \)	\( 2^{11} \cdot 5^{4} \cdot 29^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.2		$8$	$2$	$0$	$0.350325647$	$1$		$20$	$26880$	$0.428813$	$1414562/625$	$1.05374$	$2.56567$	$[0, 1, 0, -280, -972]$	\(y^2=x^3+x^2-280x-972\)	8.2.0.b.1	$[(-14, 20), (26, 100)]$
67280.z1	67280i1	67280.z	67280i	$1$	$1$	\( 2^{4} \cdot 5 \cdot 29^{2} \)	\( 2^{11} \cdot 5^{4} \cdot 29^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.2		$8$	$2$	$0$	$5.134827088$	$1$		$2$	$779520$	$2.112461$	$1414562/625$	$1.05374$	$4.38311$	$[0, -1, 0, -235760, -21349408]$	\(y^2=x^3-x^2-235760x-21349408\)	8.2.0.b.1	$[(-431, 120)]$
168200.b1	168200b1	168200.b	168200b	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 29^{2} \)	\( 2^{11} \cdot 5^{10} \cdot 29^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.2		$8$	$2$	$0$	$1$	$1$		$0$	$322560$	$1.233532$	$1414562/625$	$1.05374$	$3.17281$	$[0, 1, 0, -7008, 107488]$	\(y^2=x^3+x^2-7008x+107488\)	8.2.0.b.1	$[]$
168200.s1	168200w1	168200.s	168200w	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 29^{2} \)	\( 2^{11} \cdot 5^{10} \cdot 29^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.2		$8$	$2$	$0$	$1$	$1$		$0$	$9354240$	$2.917179$	$1414562/625$	$1.05374$	$4.85186$	$[0, -1, 0, -5894008, 2680464012]$	\(y^2=x^3-x^2-5894008x+2680464012\)	8.2.0.b.1	$[]$
269120.b1	269120b1	269120.b	269120b	$1$	$1$	\( 2^{6} \cdot 5 \cdot 29^{2} \)	\( 2^{17} \cdot 5^{4} \cdot 29^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.2		$8$	$2$	$0$	$0.550521319$	$1$		$6$	$6236160$	$2.459034$	$1414562/625$	$1.05374$	$4.22975$	$[0, 1, 0, -943041, -171738305]$	\(y^2=x^3+x^2-943041x-171738305\)	8.2.0.b.1	$[(-561, 13456)]$
269120.c1	269120c1	269120.c	269120c	$1$	$1$	\( 2^{6} \cdot 5 \cdot 29^{2} \)	\( 2^{17} \cdot 5^{4} \cdot 29^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.2		$8$	$2$	$0$	$1.300155548$	$1$		$2$	$215040$	$0.775387$	$1414562/625$	$1.05374$	$2.61382$	$[0, 1, 0, -1121, 6655]$	\(y^2=x^3+x^2-1121x+6655\)	8.2.0.b.1	$[(-3, 100)]$
269120.cd1	269120cd1	269120.cd	269120cd	$1$	$1$	\( 2^{6} \cdot 5 \cdot 29^{2} \)	\( 2^{17} \cdot 5^{4} \cdot 29^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.2		$8$	$2$	$0$	$1$	$1$		$0$	$215040$	$0.775387$	$1414562/625$	$1.05374$	$2.61382$	$[0, -1, 0, -1121, -6655]$	\(y^2=x^3-x^2-1121x-6655\)	8.2.0.b.1	$[]$
269120.ce1	269120ce1	269120.ce	269120ce	$1$	$1$	\( 2^{6} \cdot 5 \cdot 29^{2} \)	\( 2^{17} \cdot 5^{4} \cdot 29^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.2		$8$	$2$	$0$	$1$	$1$		$0$	$6236160$	$2.459034$	$1414562/625$	$1.05374$	$4.22975$	$[0, -1, 0, -943041, 171738305]$	\(y^2=x^3-x^2-943041x+171738305\)	8.2.0.b.1	$[]$
302760.y1	302760y1	302760.y	302760y	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 29^{2} \)	\( 2^{11} \cdot 3^{6} \cdot 5^{4} \cdot 29^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.2		$8$	$2$	$0$	$2.483999009$	$1$		$2$	$322560$	$0.978119$	$1414562/625$	$1.05374$	$2.78219$	$[0, 0, 0, -2523, -23722]$	\(y^2=x^3-2523x-23722\)	8.2.0.b.1	$[(154, 1800)]$
302760.bb1	302760bb1	302760.bb	302760bb	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 29^{2} \)	\( 2^{11} \cdot 3^{6} \cdot 5^{4} \cdot 29^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.2		$8$	$2$	$0$	$6.010784888$	$1$		$2$	$9354240$	$2.661766$	$1414562/625$	$1.05374$	$4.38304$	$[0, 0, 0, -2121843, -578555858]$	\(y^2=x^3-2121843x-578555858\)	8.2.0.b.1	$[(5366, 377550)]$
336400.n1	336400n1	336400.n	336400n	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 29^{2} \)	\( 2^{11} \cdot 5^{10} \cdot 29^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.2		$8$	$2$	$0$	$1$	$4$	$2$	$0$	$18708480$	$2.917179$	$1414562/625$	$1.05374$	$4.58759$	$[0, 1, 0, -5894008, -2680464012]$	\(y^2=x^3+x^2-5894008x-2680464012\)	8.2.0.b.1	$[]$
336400.ci1	336400ci1	336400.ci	336400ci	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 29^{2} \)	\( 2^{11} \cdot 5^{10} \cdot 29^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.2		$8$	$2$	$0$	$5.746888620$	$1$		$0$	$645120$	$1.233532$	$1414562/625$	$1.05374$	$3.00000$	$[0, -1, 0, -7008, -107488]$	\(y^2=x^3-x^2-7008x-107488\)	8.2.0.b.1	$[(-1183/4, 2025/4)]$