Elliptic curve search results

Results (20 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
4290.ba1	4290x1	4290.ba	4290x	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \)	\( - 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$17160$	$2$	$0$	$1$	$1$		$0$	$336$	$-0.577489$	$-24137569/4290$	$0.87072$	$2.06445$	$[1, 0, 0, -6, 6]$	\(y^2+xy=x^3-6x+6\)	17160.2.0.?	$[]$
12870.ba1	12870bb1	12870.ba	12870bb	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( - 2 \cdot 3^{7} \cdot 5 \cdot 11 \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$1.201755659$	$1$		$4$	$2688$	$-0.028183$	$-24137569/4290$	$0.87072$	$2.52136$	$[1, -1, 0, -54, -162]$	\(y^2+xy=x^3-x^2-54x-162\)	17160.2.0.?	$[(9, 0)]$
21450.d1	21450b1	21450.d	21450b	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \)	\( - 2 \cdot 3 \cdot 5^{7} \cdot 11 \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$0.292917022$	$1$		$4$	$8064$	$0.227230$	$-24137569/4290$	$0.87072$	$2.69953$	$[1, 1, 0, -150, 750]$	\(y^2+xy=x^3+x^2-150x+750\)	17160.2.0.?	$[(5, 10)]$
34320.b1	34320bf1	34320.b	34320bf	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \)	\( - 2^{13} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$1$	$1$		$0$	$8064$	$0.115658$	$-24137569/4290$	$0.87072$	$2.44984$	$[0, -1, 0, -96, -384]$	\(y^2=x^3-x^2-96x-384\)	17160.2.0.?	$[]$
47190.u1	47190z1	47190.u	47190z	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2 \cdot 3 \cdot 5 \cdot 11^{7} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$2.318645389$	$1$		$0$	$40320$	$0.621458$	$-24137569/4290$	$0.87072$	$2.94134$	$[1, 0, 1, -729, -8714]$	\(y^2+xy+y=x^3-729x-8714\)	17160.2.0.?	$[(139/2, 583/2)]$
55770.be1	55770bk1	55770.be	55770bk	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \)	\( - 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$1$	$1$		$0$	$56448$	$0.704986$	$-24137569/4290$	$0.87072$	$2.98809$	$[1, 0, 1, -1018, 14198]$	\(y^2+xy+y=x^3-1018x+14198\)	17160.2.0.?	$[]$
64350.da1	64350ei1	64350.da	64350ei	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( - 2 \cdot 3^{7} \cdot 5^{7} \cdot 11 \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$1$	$1$		$0$	$64512$	$0.776536$	$-24137569/4290$	$0.87072$	$3.02702$	$[1, -1, 1, -1355, -21603]$	\(y^2+xy+y=x^3-x^2-1355x-21603\)	17160.2.0.?	$[]$
102960.cw1	102960ef1	102960.cw	102960ef	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( - 2^{13} \cdot 3^{7} \cdot 5 \cdot 11 \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$0.697711767$	$1$		$4$	$64512$	$0.664964$	$-24137569/4290$	$0.87072$	$2.78776$	$[0, 0, 0, -867, 11234]$	\(y^2=x^3-867x+11234\)	17160.2.0.?	$[(25, 72)]$
137280.di1	137280gh1	137280.di	137280gh	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \)	\( - 2^{19} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$1.319407430$	$1$		$2$	$64512$	$0.462232$	$-24137569/4290$	$0.87072$	$2.51431$	$[0, -1, 0, -385, 3457]$	\(y^2=x^3-x^2-385x+3457\)	17160.2.0.?	$[(33, 160)]$
137280.fy1	137280c1	137280.fy	137280c	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \)	\( - 2^{19} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$1$	$1$		$0$	$64512$	$0.462232$	$-24137569/4290$	$0.87072$	$2.51431$	$[0, 1, 0, -385, -3457]$	\(y^2=x^3+x^2-385x-3457\)	17160.2.0.?	$[]$
141570.dy1	141570e1	141570.dy	141570e	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2 \cdot 3^{7} \cdot 5 \cdot 11^{7} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$1.871028716$	$1$		$0$	$322560$	$1.170765$	$-24137569/4290$	$0.87072$	$3.22465$	$[1, -1, 1, -6557, 235271]$	\(y^2+xy+y=x^3-x^2-6557x+235271\)	17160.2.0.?	$[(111/2, 2063/2)]$
167310.dc1	167310bc1	167310.dc	167310bc	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( - 2 \cdot 3^{7} \cdot 5 \cdot 11 \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$4.315130594$	$1$		$0$	$451584$	$1.254292$	$-24137569/4290$	$0.87072$	$3.26320$	$[1, -1, 1, -9158, -383353]$	\(y^2+xy+y=x^3-x^2-9158x-383353\)	17160.2.0.?	$[(3615/2, 212363/2)]$
171600.hl1	171600ce1	171600.hl	171600ce	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \)	\( - 2^{13} \cdot 3 \cdot 5^{7} \cdot 11 \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$1$	$1$		$0$	$193536$	$0.920377$	$-24137569/4290$	$0.87072$	$2.92390$	$[0, 1, 0, -2408, -52812]$	\(y^2=x^3+x^2-2408x-52812\)	17160.2.0.?	$[]$
210210.dl1	210210ce1	210210.dl	210210ce	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \)	\( - 2 \cdot 3 \cdot 5 \cdot 7^{6} \cdot 11 \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$1$	$9$	$3$	$0$	$110880$	$0.395466$	$-24137569/4290$	$0.87072$	$2.36153$	$[1, 1, 1, -295, -2353]$	\(y^2+xy+y=x^3+x^2-295x-2353\)	17160.2.0.?	$[]$
235950.gl1	235950gl1	235950.gl	235950gl	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( - 2 \cdot 3 \cdot 5^{7} \cdot 11^{7} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$1$	$1$		$0$	$967680$	$1.426178$	$-24137569/4290$	$0.87072$	$3.33925$	$[1, 1, 1, -18213, -1089219]$	\(y^2+xy+y=x^3+x^2-18213x-1089219\)	17160.2.0.?	$[]$
278850.gn1	278850gn1	278850.gn	278850gn	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13^{2} \)	\( - 2 \cdot 3 \cdot 5^{7} \cdot 11 \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$3.242819319$	$1$		$0$	$1354752$	$1.509705$	$-24137569/4290$	$0.87072$	$3.37470$	$[1, 1, 1, -25438, 1774781]$	\(y^2+xy+y=x^3+x^2-25438x+1774781\)	17160.2.0.?	$[(-635/4, 106863/4)]$
377520.bh1	377520bh1	377520.bh	377520bh	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2^{13} \cdot 3 \cdot 5 \cdot 11^{7} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$1.163677985$	$1$		$4$	$967680$	$1.314606$	$-24137569/4290$	$0.87072$	$3.11277$	$[0, -1, 0, -11656, 557680]$	\(y^2=x^3-x^2-11656x+557680\)	17160.2.0.?	$[(-84, 968)]$
411840.bh1	411840bh1	411840.bh	411840bh	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( - 2^{19} \cdot 3^{7} \cdot 5 \cdot 11 \cdot 13 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$1.007174449$	$1$		$12$	$516096$	$1.011538$	$-24137569/4290$	$0.87072$	$2.81051$	$[0, 0, 0, -3468, 89872]$	\(y^2=x^3-3468x+89872\)	17160.2.0.?	$[(2, 288), (194, 2592)]$
411840.fm1	411840fm1	411840.fm	411840fm	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( - 2^{19} \cdot 3^{7} \cdot 5 \cdot 11 \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$1$	$1$		$0$	$516096$	$1.011538$	$-24137569/4290$	$0.87072$	$2.81051$	$[0, 0, 0, -3468, -89872]$	\(y^2=x^3-3468x-89872\)	17160.2.0.?	$[]$
446160.dy1	446160dy1	446160.dy	446160dy	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \)	\( - 2^{13} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$4.346868618$	$1$		$2$	$1354752$	$1.398132$	$-24137569/4290$	$0.87072$	$3.14985$	$[0, -1, 0, -16280, -908688]$	\(y^2=x^3-x^2-16280x-908688\)	17160.2.0.?	$[(292, 4376)]$