Elliptic curve search results

Results (24 matches)

  Download displayed columns for results to

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
2072.b1	2072d1	2072.b	2072d	$1$	$1$	\( 2^{3} \cdot 7 \cdot 37 \)	\( - 2^{8} \cdot 7^{7} \cdot 37^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$518$	$2$	$0$	$1$	$1$		$0$	$4032$	$1.373537$	$-15283295882302464/41714923579$	$1.00656$	$5.60685$	$[0, 0, 0, -32828, 2294756]$	\(y^2=x^3-32828x+2294756\)	518.2.0.?	$[ ]$
4144.c1	4144b1	4144.c	4144b	$1$	$1$	\( 2^{4} \cdot 7 \cdot 37 \)	\( - 2^{8} \cdot 7^{7} \cdot 37^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$518$	$2$	$0$	$1$	$1$		$0$	$8064$	$1.373537$	$-15283295882302464/41714923579$	$1.00656$	$5.14027$	$[0, 0, 0, -32828, -2294756]$	\(y^2=x^3-32828x-2294756\)	518.2.0.?	$[ ]$
14504.e1	14504g1	14504.e	14504g	$1$	$1$	\( 2^{3} \cdot 7^{2} \cdot 37 \)	\( - 2^{8} \cdot 7^{13} \cdot 37^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$518$	$2$	$0$	$9.682117784$	$1$		$0$	$193536$	$2.346493$	$-15283295882302464/41714923579$	$1.00656$	$5.68669$	$[0, 0, 0, -1608572, -787101308]$	\(y^2=x^3-1608572x-787101308\)	518.2.0.?	$[(2322033/38, 1536815273/38)]$
16576.m1	16576b1	16576.m	16576b	$1$	$1$	\( 2^{6} \cdot 7 \cdot 37 \)	\( - 2^{14} \cdot 7^{7} \cdot 37^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$518$	$2$	$0$	$1$	$1$		$0$	$64512$	$1.720110$	$-15283295882302464/41714923579$	$1.00656$	$4.83488$	$[0, 0, 0, -131312, 18358048]$	\(y^2=x^3-131312x+18358048\)	518.2.0.?	$[ ]$
16576.n1	16576o1	16576.n	16576o	$1$	$1$	\( 2^{6} \cdot 7 \cdot 37 \)	\( - 2^{14} \cdot 7^{7} \cdot 37^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$518$	$2$	$0$	$1$	$1$		$0$	$64512$	$1.720110$	$-15283295882302464/41714923579$	$1.00656$	$4.83488$	$[0, 0, 0, -131312, -18358048]$	\(y^2=x^3-131312x-18358048\)	518.2.0.?	$[ ]$
18648.s1	18648e1	18648.s	18648e	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 37 \)	\( - 2^{8} \cdot 3^{6} \cdot 7^{7} \cdot 37^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$518$	$2$	$0$	$1$	$1$		$0$	$129024$	$1.922844$	$-15283295882302464/41714923579$	$1.00656$	$5.02437$	$[0, 0, 0, -295452, -61958412]$	\(y^2=x^3-295452x-61958412\)	518.2.0.?	$[ ]$
29008.j1	29008b1	29008.j	29008b	$1$	$1$	\( 2^{4} \cdot 7^{2} \cdot 37 \)	\( - 2^{8} \cdot 7^{13} \cdot 37^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$518$	$2$	$0$	$1$	$1$		$0$	$387072$	$2.346493$	$-15283295882302464/41714923579$	$1.00656$	$5.30308$	$[0, 0, 0, -1608572, 787101308]$	\(y^2=x^3-1608572x+787101308\)	518.2.0.?	$[ ]$
37296.br1	37296u1	37296.br	37296u	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 37 \)	\( - 2^{8} \cdot 3^{6} \cdot 7^{7} \cdot 37^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$518$	$2$	$0$	$1.178361941$	$1$		$2$	$258048$	$1.922844$	$-15283295882302464/41714923579$	$1.00656$	$4.69353$	$[0, 0, 0, -295452, 61958412]$	\(y^2=x^3-295452x+61958412\)	518.2.0.?	$[(321, 441)]$
51800.p1	51800c1	51800.p	51800c	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 7 \cdot 37 \)	\( - 2^{8} \cdot 5^{6} \cdot 7^{7} \cdot 37^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$518$	$2$	$0$	$0.225312800$	$1$		$6$	$564480$	$2.178257$	$-15283295882302464/41714923579$	$1.00656$	$4.83384$	$[0, 0, 0, -820700, 286844500]$	\(y^2=x^3-820700x+286844500\)	518.2.0.?	$[(1074, 25382)]$
76664.d1	76664a1	76664.d	76664a	$1$	$1$	\( 2^{3} \cdot 7 \cdot 37^{2} \)	\( - 2^{8} \cdot 7^{7} \cdot 37^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$518$	$2$	$0$	$6.886476548$	$1$		$2$	$5515776$	$3.178997$	$-15283295882302464/41714923579$	$1.00656$	$5.73307$	$[0, 0, 0, -44941532, 116236275668]$	\(y^2=x^3-44941532x+116236275668\)	518.2.0.?	$[(4234, 43078)]$
103600.x1	103600g1	103600.x	103600g	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 37 \)	\( - 2^{8} \cdot 5^{6} \cdot 7^{7} \cdot 37^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$518$	$2$	$0$	$1$	$1$		$0$	$1128960$	$2.178257$	$-15283295882302464/41714923579$	$1.00656$	$4.54371$	$[0, 0, 0, -820700, -286844500]$	\(y^2=x^3-820700x-286844500\)	518.2.0.?	$[ ]$
116032.u1	116032g1	116032.u	116032g	$1$	$1$	\( 2^{6} \cdot 7^{2} \cdot 37 \)	\( - 2^{14} \cdot 7^{13} \cdot 37^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$518$	$2$	$0$	$4.839168762$	$1$		$0$	$3096576$	$2.693066$	$-15283295882302464/41714923579$	$1.00656$	$5.02930$	$[0, 0, 0, -6434288, -6296810464]$	\(y^2=x^3-6434288x-6296810464\)	518.2.0.?	$[(290017/2, 156086609/2)]$
116032.x1	116032bf1	116032.x	116032bf	$1$	$1$	\( 2^{6} \cdot 7^{2} \cdot 37 \)	\( - 2^{14} \cdot 7^{13} \cdot 37^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$518$	$2$	$0$	$1$	$1$		$0$	$3096576$	$2.693066$	$-15283295882302464/41714923579$	$1.00656$	$5.02930$	$[0, 0, 0, -6434288, 6296810464]$	\(y^2=x^3-6434288x+6296810464\)	518.2.0.?	$[ ]$
130536.bf1	130536bu1	130536.bf	130536bu	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 37 \)	\( - 2^{8} \cdot 3^{6} \cdot 7^{13} \cdot 37^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$518$	$2$	$0$	$1.159592707$	$1$		$4$	$6193152$	$2.895798$	$-15283295882302464/41714923579$	$1.00656$	$5.18554$	$[0, 0, 0, -14477148, 21251735316]$	\(y^2=x^3-14477148x+21251735316\)	518.2.0.?	$[(2590, 33614)]$
149184.cp1	149184eo1	149184.cp	149184eo	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 37 \)	\( - 2^{14} \cdot 3^{6} \cdot 7^{7} \cdot 37^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$518$	$2$	$0$	$15.85166998$	$1$		$0$	$2064384$	$2.269417$	$-15283295882302464/41714923579$	$1.00656$	$4.49645$	$[0, 0, 0, -1181808, -495667296]$	\(y^2=x^3-1181808x-495667296\)	518.2.0.?	$[(253015017/59, 4024116879309/59)]$
149184.cq1	149184bd1	149184.cq	149184bd	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 37 \)	\( - 2^{14} \cdot 3^{6} \cdot 7^{7} \cdot 37^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$518$	$2$	$0$	$0.359857333$	$1$		$4$	$2064384$	$2.269417$	$-15283295882302464/41714923579$	$1.00656$	$4.49645$	$[0, 0, 0, -1181808, 495667296]$	\(y^2=x^3-1181808x+495667296\)	518.2.0.?	$[(201, 16317)]$
153328.m1	153328p1	153328.m	153328p	$1$	$1$	\( 2^{4} \cdot 7 \cdot 37^{2} \)	\( - 2^{8} \cdot 7^{7} \cdot 37^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$518$	$2$	$0$	$1$	$1$		$0$	$11031552$	$3.178997$	$-15283295882302464/41714923579$	$1.00656$	$5.40026$	$[0, 0, 0, -44941532, -116236275668]$	\(y^2=x^3-44941532x-116236275668\)	518.2.0.?	$[ ]$
250712.f1	250712f1	250712.f	250712f	$1$	$1$	\( 2^{3} \cdot 7 \cdot 11^{2} \cdot 37 \)	\( - 2^{8} \cdot 7^{7} \cdot 11^{6} \cdot 37^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$518$	$2$	$0$	$3.944800203$	$1$		$4$	$4798080$	$2.572483$	$-15283295882302464/41714923579$	$1.00656$	$4.60123$	$[0, 0, 0, -3972188, -3054320236]$	\(y^2=x^3-3972188x-3054320236\)	518.2.0.?	$[(2302, 686)]$
261072.cr1	261072cr1	261072.cr	261072cr	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 37 \)	\( - 2^{8} \cdot 3^{6} \cdot 7^{13} \cdot 37^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$518$	$2$	$0$	$53.45345407$	$1$		$0$	$12386304$	$2.895798$	$-15283295882302464/41714923579$	$1.00656$	$4.89736$	$[0, 0, 0, -14477148, -21251735316]$	\(y^2=x^3-14477148x-21251735316\)	518.2.0.?	$[(3432521044684744579366905/2031706547, 6359387055079196428417678694883755211/2031706547)]$
350168.e1	350168e1	350168.e	350168e	$1$	$1$	\( 2^{3} \cdot 7 \cdot 13^{2} \cdot 37 \)	\( - 2^{8} \cdot 7^{7} \cdot 13^{6} \cdot 37^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$518$	$2$	$0$	$0.450179968$	$1$		$6$	$9434880$	$2.656013$	$-15283295882302464/41714923579$	$1.00656$	$4.55933$	$[0, 0, 0, -5547932, 5041578932]$	\(y^2=x^3-5547932x+5041578932\)	518.2.0.?	$[(1342, 3626)]$
362600.bs1	362600bs1	362600.bs	362600bs	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 37 \)	\( - 2^{8} \cdot 5^{6} \cdot 7^{13} \cdot 37^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$518$	$2$	$0$	$12.30815212$	$1$		$0$	$27095040$	$3.151211$	$-15283295882302464/41714923579$	$1.00656$	$5.01111$	$[0, 0, 0, -40214300, -98387663500]$	\(y^2=x^3-40214300x-98387663500\)	518.2.0.?	$[(3911674/23, 1126020482/23)]$
414400.cx1	414400cx1	414400.cx	414400cx	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 37 \)	\( - 2^{14} \cdot 5^{6} \cdot 7^{7} \cdot 37^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$518$	$2$	$0$	$1$	$1$		$0$	$9031680$	$2.524830$	$-15283295882302464/41714923579$	$1.00656$	$4.37826$	$[0, 0, 0, -3282800, -2294756000]$	\(y^2=x^3-3282800x-2294756000\)	518.2.0.?	$[ ]$
414400.cy1	414400cy1	414400.cy	414400cy	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 37 \)	\( - 2^{14} \cdot 5^{6} \cdot 7^{7} \cdot 37^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$518$	$2$	$0$	$1$	$1$		$0$	$9031680$	$2.524830$	$-15283295882302464/41714923579$	$1.00656$	$4.37826$	$[0, 0, 0, -3282800, 2294756000]$	\(y^2=x^3-3282800x+2294756000\)	518.2.0.?	$[ ]$
466200.ci1	466200ci1	466200.ci	466200ci	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 37 \)	\( - 2^{8} \cdot 3^{6} \cdot 5^{6} \cdot 7^{7} \cdot 37^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$518$	$2$	$0$	$2.150852558$	$1$		$2$	$18063360$	$2.727562$	$-15283295882302464/41714923579$	$1.00656$	$4.52513$	$[0, 0, 0, -7386300, -7744801500]$	\(y^2=x^3-7386300x-7744801500\)	518.2.0.?	$[(7656, 620046)]$

  Download displayed columns for results to