Elliptic curve search results

Results (26 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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
8736.b1	8736t1	8736.b	8736t	$1$	$1$	\( 2^{5} \cdot 3 \cdot 7 \cdot 13 \)	\( - 2^{9} \cdot 3 \cdot 7^{5} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$0.406108206$	$1$		$6$	$3520$	$0.324870$	$-306182024/655473$	$0.87890$	$3.01100$	$1$	$[0, -1, 0, -112, -956]$	\(y^2=x^3-x^2-112x-956\)	2184.2.0.?	$[(24, 98)]$	$1$
8736.p1	8736f1	8736.p	8736f	$1$	$1$	\( 2^{5} \cdot 3 \cdot 7 \cdot 13 \)	\( - 2^{9} \cdot 3 \cdot 7^{5} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1$	$1$		$0$	$3520$	$0.324870$	$-306182024/655473$	$0.87890$	$3.01100$	$1$	$[0, 1, 0, -112, 956]$	\(y^2=x^3+x^2-112x+956\)	2184.2.0.?	$[ ]$	$1$
17472.bk1	17472f1	17472.bk	17472f	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 13 \)	\( - 2^{15} \cdot 3 \cdot 7^{5} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1$	$1$		$0$	$14080$	$0.671443$	$-306182024/655473$	$0.87890$	$3.22309$	$1$	$[0, -1, 0, -449, 8097]$	\(y^2=x^3-x^2-449x+8097\)	2184.2.0.?	$[ ]$	$1$
17472.dc1	17472bl1	17472.dc	17472bl	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 13 \)	\( - 2^{15} \cdot 3 \cdot 7^{5} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1$	$1$		$0$	$14080$	$0.671443$	$-306182024/655473$	$0.87890$	$3.22309$	$1$	$[0, 1, 0, -449, -8097]$	\(y^2=x^3+x^2-449x-8097\)	2184.2.0.?	$[ ]$	$1$
26208.bm1	26208bg1	26208.bm	26208bg	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \)	\( - 2^{9} \cdot 3^{7} \cdot 7^{5} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$3.943271940$	$1$		$2$	$28160$	$0.874176$	$-306182024/655473$	$0.87890$	$3.33376$	$1$	$[0, 0, 0, -1011, -26822]$	\(y^2=x^3-1011x-26822\)	2184.2.0.?	$[(182, 2412)]$	$1$
26208.bs1	26208r1	26208.bs	26208r	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \)	\( - 2^{9} \cdot 3^{7} \cdot 7^{5} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$0.419592628$	$1$		$4$	$28160$	$0.874176$	$-306182024/655473$	$0.87890$	$3.33376$	$1$	$[0, 0, 0, -1011, 26822]$	\(y^2=x^3-1011x+26822\)	2184.2.0.?	$[(13, 126)]$	$1$
52416.p1	52416cg1	52416.p	52416cg	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 13 \)	\( - 2^{15} \cdot 3^{7} \cdot 7^{5} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$2.183535024$	$1$		$4$	$112640$	$1.220749$	$-306182024/655473$	$0.87890$	$3.50383$	$1$	$[0, 0, 0, -4044, -214576]$	\(y^2=x^3-4044x-214576\)	2184.2.0.?	$[(82, 72)]$	$1$
52416.u1	52416dk1	52416.u	52416dk	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 13 \)	\( - 2^{15} \cdot 3^{7} \cdot 7^{5} \cdot 13 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$0.169129501$	$1$		$28$	$112640$	$1.220749$	$-306182024/655473$	$0.87890$	$3.50383$	$1$	$[0, 0, 0, -4044, 214576]$	\(y^2=x^3-4044x+214576\)	2184.2.0.?	$[(-58, 504), (54, 392)]$	$1$
61152.bb1	61152n1	61152.bb	61152n	$1$	$1$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 13 \)	\( - 2^{9} \cdot 3 \cdot 7^{11} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$6.826582979$	$1$		$0$	$168960$	$1.297825$	$-306182024/655473$	$0.87890$	$3.53874$	$1$	$[0, -1, 0, -5504, -338904]$	\(y^2=x^3-x^2-5504x-338904\)	2184.2.0.?	$[(48445/22, 3416623/22)]$	$1$
61152.cc1	61152cf1	61152.cc	61152cf	$1$	$1$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 13 \)	\( - 2^{9} \cdot 3 \cdot 7^{11} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$4.165133349$	$1$		$2$	$168960$	$1.297825$	$-306182024/655473$	$0.87890$	$3.53874$	$1$	$[0, 1, 0, -5504, 338904]$	\(y^2=x^3+x^2-5504x+338904\)	2184.2.0.?	$[(90, 762)]$	$1$
113568.bk1	113568f1	113568.bk	113568f	$1$	$1$	\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{9} \cdot 3 \cdot 7^{5} \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$10.22508375$	$1$		$0$	$591360$	$1.607344$	$-306182024/655473$	$0.87890$	$3.66963$	$1$	$[0, -1, 0, -18984, -2176188]$	\(y^2=x^3-x^2-18984x-2176188\)	2184.2.0.?	$[(601784/35, 443108198/35)]$	$1$
113568.cx1	113568cv1	113568.cx	113568cv	$1$	$1$	\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{9} \cdot 3 \cdot 7^{5} \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1$	$1$		$0$	$591360$	$1.607344$	$-306182024/655473$	$0.87890$	$3.66963$	$1$	$[0, 1, 0, -18984, 2176188]$	\(y^2=x^3+x^2-18984x+2176188\)	2184.2.0.?	$[ ]$	$1$
122304.p1	122304bi1	122304.p	122304bi	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \)	\( - 2^{15} \cdot 3 \cdot 7^{11} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1$	$1$		$0$	$675840$	$1.644398$	$-306182024/655473$	$0.87890$	$3.68438$	$1$	$[0, -1, 0, -22017, 2733249]$	\(y^2=x^3-x^2-22017x+2733249\)	2184.2.0.?	$[ ]$	$1$
122304.ep1	122304du1	122304.ep	122304du	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \)	\( - 2^{15} \cdot 3 \cdot 7^{11} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$3.187353207$	$1$		$2$	$675840$	$1.644398$	$-306182024/655473$	$0.87890$	$3.68438$	$1$	$[0, 1, 0, -22017, -2733249]$	\(y^2=x^3+x^2-22017x-2733249\)	2184.2.0.?	$[(3761, 230496)]$	$1$
183456.g1	183456d1	183456.g	183456d	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{9} \cdot 3^{7} \cdot 7^{11} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1.957137443$	$1$		$0$	$1351680$	$1.847130$	$-306182024/655473$	$0.87890$	$3.76185$	$1$	$[0, 0, 0, -49539, 9199946]$	\(y^2=x^3-49539x+9199946\)	2184.2.0.?	$[(-959/2, 21609/2)]$	$1$
183456.n1	183456cm1	183456.n	183456cm	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{9} \cdot 3^{7} \cdot 7^{11} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1$	$1$		$0$	$1351680$	$1.847130$	$-306182024/655473$	$0.87890$	$3.76185$	$1$	$[0, 0, 0, -49539, -9199946]$	\(y^2=x^3-49539x-9199946\)	2184.2.0.?	$[ ]$	$1$
218400.cm1	218400bv1	218400.cm	218400bv	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{9} \cdot 3 \cdot 5^{6} \cdot 7^{5} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1$	$1$		$0$	$380160$	$1.129589$	$-306182024/655473$	$0.87890$	$3.00812$	$1$	$[0, -1, 0, -2808, 125112]$	\(y^2=x^3-x^2-2808x+125112\)	2184.2.0.?	$[ ]$	$1$
218400.df1	218400dt1	218400.df	218400dt	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{9} \cdot 3 \cdot 5^{6} \cdot 7^{5} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$13.34287785$	$1$		$2$	$380160$	$1.129589$	$-306182024/655473$	$0.87890$	$3.00812$	$1$	$[0, 1, 0, -2808, -125112]$	\(y^2=x^3+x^2-2808x-125112\)	2184.2.0.?	$[(1246682, 1391982282)]$	$1$
227136.n1	227136he1	227136.n	227136he	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{15} \cdot 3 \cdot 7^{5} \cdot 13^{7} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$0.442311435$	$1$		$16$	$2365440$	$1.953918$	$-306182024/655473$	$0.87890$	$3.80060$	$1$	$[0, -1, 0, -75937, 17485441]$	\(y^2=x^3-x^2-75937x+17485441\)	2184.2.0.?	$[(-69, 4732), (477, 9464)]$	$1$
227136.fa1	227136es1	227136.fa	227136es	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{15} \cdot 3 \cdot 7^{5} \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1$	$1$		$0$	$2365440$	$1.953918$	$-306182024/655473$	$0.87890$	$3.80060$	$1$	$[0, 1, 0, -75937, -17485441]$	\(y^2=x^3+x^2-75937x-17485441\)	2184.2.0.?	$[ ]$	$1$
340704.f1	340704f1	340704.f	340704f	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( - 2^{9} \cdot 3^{7} \cdot 7^{5} \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$2.229219165$	$1$		$2$	$4730880$	$2.156651$	$-306182024/655473$	$0.87890$	$3.87061$	$1$	$[0, 0, 0, -170859, 58927934]$	\(y^2=x^3-170859x+58927934\)	2184.2.0.?	$[(-299, 9126)]$	$1$
340704.r1	340704r1	340704.r	340704r	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( - 2^{9} \cdot 3^{7} \cdot 7^{5} \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1.770749967$	$1$		$2$	$4730880$	$2.156651$	$-306182024/655473$	$0.87890$	$3.87061$	$1$	$[0, 0, 0, -170859, -58927934]$	\(y^2=x^3-170859x-58927934\)	2184.2.0.?	$[(2834, 149058)]$	$1$
366912.ok1	366912ok1	366912.ok	366912ok	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{15} \cdot 3^{7} \cdot 7^{11} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$6.498532650$	$1$		$0$	$5406720$	$2.193703$	$-306182024/655473$	$0.87890$	$3.88293$	$1$	$[0, 0, 0, -198156, -73599568]$	\(y^2=x^3-198156x-73599568\)	2184.2.0.?	$[(14294/5, 16072/5)]$	$1$
366912.pn1	366912pn1	366912.pn	366912pn	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{15} \cdot 3^{7} \cdot 7^{11} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$0.798240552$	$1$		$4$	$5406720$	$2.193703$	$-306182024/655473$	$0.87890$	$3.88293$	$1$	$[0, 0, 0, -198156, 73599568]$	\(y^2=x^3-198156x+73599568\)	2184.2.0.?	$[(3122, 172872)]$	$1$
436800.ef1	436800ef1	436800.ef	436800ef	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{15} \cdot 3 \cdot 5^{6} \cdot 7^{5} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$6.268149803$	$1$		$0$	$1520640$	$1.476162$	$-306182024/655473$	$0.87890$	$3.16780$	$1$	$[0, -1, 0, -11233, -989663]$	\(y^2=x^3-x^2-11233x-989663\)	2184.2.0.?	$[(1849/3, 62344/3)]$	$1$
436800.ql1	436800ql1	436800.ql	436800ql	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{15} \cdot 3 \cdot 5^{6} \cdot 7^{5} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1.246631719$	$1$		$2$	$1520640$	$1.476162$	$-306182024/655473$	$0.87890$	$3.16780$	$1$	$[0, 1, 0, -11233, 989663]$	\(y^2=x^3+x^2-11233x+989663\)	2184.2.0.?	$[(-41, 1176)]$	$1$

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