Elliptic curve search results

Results (26 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
1290.l1	1290l1	1290.l	1290l	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 43 \)	\( - 2^{5} \cdot 3^{4} \cdot 5^{3} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$1720$	$2$	$0$	$0.054148638$	$1$		$12$	$480$	$0.063256$	$-10091699281/13932000$	$0.89938$	$3.38637$	$[1, 1, 1, -45, 195]$	\(y^2+xy+y=x^3+x^2-45x+195\)	1720.2.0.?	$[(13, 38)]$
3870.d1	3870e1	3870.d	3870e	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{5} \cdot 3^{10} \cdot 5^{3} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$1$	$1$		$0$	$3840$	$0.612562$	$-10091699281/13932000$	$0.89938$	$3.73395$	$[1, -1, 0, -405, -5675]$	\(y^2+xy=x^3-x^2-405x-5675\)	1720.2.0.?	$[]$
6450.p1	6450l1	6450.p	6450l	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 43 \)	\( - 2^{5} \cdot 3^{4} \cdot 5^{9} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$0.260402041$	$1$		$6$	$11520$	$0.867975$	$-10091699281/13932000$	$0.89938$	$3.86591$	$[1, 0, 1, -1126, 26648]$	\(y^2+xy+y=x^3-1126x+26648\)	1720.2.0.?	$[(-8, 191)]$
10320.bj1	10320bh1	10320.bj	10320bh	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 43 \)	\( - 2^{17} \cdot 3^{4} \cdot 5^{3} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$0.282576705$	$1$		$8$	$11520$	$0.756403$	$-10091699281/13932000$	$0.89938$	$3.52444$	$[0, 1, 0, -720, -13932]$	\(y^2=x^3+x^2-720x-13932\)	1720.2.0.?	$[(66, 480)]$
19350.ci1	19350cc1	19350.ci	19350cc	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( - 2^{5} \cdot 3^{10} \cdot 5^{9} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$1$	$1$		$0$	$92160$	$1.417282$	$-10091699281/13932000$	$0.89938$	$4.10344$	$[1, -1, 1, -10130, -719503]$	\(y^2+xy+y=x^3-x^2-10130x-719503\)	1720.2.0.?	$[]$
30960.p1	30960bm1	30960.p	30960bm	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{17} \cdot 3^{10} \cdot 5^{3} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$1$	$1$		$0$	$92160$	$1.305710$	$-10091699281/13932000$	$0.89938$	$3.78745$	$[0, 0, 0, -6483, 369682]$	\(y^2=x^3-6483x+369682\)	1720.2.0.?	$[]$
41280.q1	41280bz1	41280.q	41280bz	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( - 2^{23} \cdot 3^{4} \cdot 5^{3} \cdot 43 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$3.077567841$	$1$		$12$	$92160$	$1.102978$	$-10091699281/13932000$	$0.89938$	$3.45603$	$[0, -1, 0, -2881, -108575]$	\(y^2=x^3-x^2-2881x-108575\)	1720.2.0.?	$[(69, 128), (325, 5760)]$
41280.ca1	41280be1	41280.ca	41280be	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( - 2^{23} \cdot 3^{4} \cdot 5^{3} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$0.652974302$	$1$		$4$	$92160$	$1.102978$	$-10091699281/13932000$	$0.89938$	$3.45603$	$[0, 1, 0, -2881, 108575]$	\(y^2=x^3+x^2-2881x+108575\)	1720.2.0.?	$[(59, 384)]$
51600.v1	51600br1	51600.v	51600br	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( - 2^{17} \cdot 3^{4} \cdot 5^{9} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$1$	$1$		$0$	$276480$	$1.561123$	$-10091699281/13932000$	$0.89938$	$3.89161$	$[0, -1, 0, -18008, -1705488]$	\(y^2=x^3-x^2-18008x-1705488\)	1720.2.0.?	$[]$
55470.h1	55470h1	55470.h	55470h	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \)	\( - 2^{5} \cdot 3^{4} \cdot 5^{3} \cdot 43^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$1.972990284$	$1$		$2$	$887040$	$1.943855$	$-10091699281/13932000$	$0.89938$	$4.28629$	$[1, 0, 1, -83244, -17016374]$	\(y^2+xy+y=x^3-83244x-17016374\)	1720.2.0.?	$[(1616, 62982)]$
63210.cf1	63210ci1	63210.cf	63210ci	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 43 \)	\( - 2^{5} \cdot 3^{4} \cdot 5^{3} \cdot 7^{6} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$1$	$1$		$0$	$181440$	$1.036211$	$-10091699281/13932000$	$0.89938$	$3.25034$	$[1, 0, 0, -2206, -73564]$	\(y^2+xy=x^3-2206x-73564\)	1720.2.0.?	$[]$
123840.er1	123840db1	123840.er	123840db	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{23} \cdot 3^{10} \cdot 5^{3} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$1$	$1$		$0$	$737280$	$1.652283$	$-10091699281/13932000$	$0.89938$	$3.69436$	$[0, 0, 0, -25932, -2957456]$	\(y^2=x^3-25932x-2957456\)	1720.2.0.?	$[]$
123840.fm1	123840fx1	123840.fm	123840fx	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{23} \cdot 3^{10} \cdot 5^{3} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$1$	$1$		$0$	$737280$	$1.652283$	$-10091699281/13932000$	$0.89938$	$3.69436$	$[0, 0, 0, -25932, 2957456]$	\(y^2=x^3-25932x+2957456\)	1720.2.0.?	$[]$
154800.cn1	154800ce1	154800.cn	154800ce	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( - 2^{17} \cdot 3^{10} \cdot 5^{9} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$1.380702057$	$1$		$4$	$2211840$	$2.110428$	$-10091699281/13932000$	$0.89938$	$4.08544$	$[0, 0, 0, -162075, 46210250]$	\(y^2=x^3-162075x+46210250\)	1720.2.0.?	$[(-35, 7200)]$
156090.i1	156090bt1	156090.i	156090bt	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 43 \)	\( - 2^{5} \cdot 3^{4} \cdot 5^{3} \cdot 11^{6} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$1$	$1$		$0$	$614400$	$1.262203$	$-10091699281/13932000$	$0.89938$	$3.23142$	$[1, 1, 0, -5447, -287019]$	\(y^2+xy=x^3+x^2-5447x-287019\)	1720.2.0.?	$[]$
166410.cq1	166410e1	166410.cq	166410e	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 43^{2} \)	\( - 2^{5} \cdot 3^{10} \cdot 5^{3} \cdot 43^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$0.696160182$	$1$		$4$	$7096320$	$2.493164$	$-10091699281/13932000$	$0.89938$	$4.44289$	$[1, -1, 1, -749192, 459442091]$	\(y^2+xy+y=x^3-x^2-749192x+459442091\)	1720.2.0.?	$[(699, 16291)]$
189630.co1	189630dc1	189630.co	189630dc	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 43 \)	\( - 2^{5} \cdot 3^{10} \cdot 5^{3} \cdot 7^{6} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$1$	$1$		$0$	$1451520$	$1.585518$	$-10091699281/13932000$	$0.89938$	$3.49891$	$[1, -1, 0, -19854, 1986228]$	\(y^2+xy=x^3-x^2-19854x+1986228\)	1720.2.0.?	$[]$
206400.dl1	206400ka1	206400.dl	206400ka	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( - 2^{23} \cdot 3^{4} \cdot 5^{9} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$2.790598504$	$1$		$2$	$2211840$	$1.907696$	$-10091699281/13932000$	$0.89938$	$3.79060$	$[0, -1, 0, -72033, 13715937]$	\(y^2=x^3-x^2-72033x+13715937\)	1720.2.0.?	$[(-273, 3600)]$
206400.hf1	206400bo1	206400.hf	206400bo	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( - 2^{23} \cdot 3^{4} \cdot 5^{9} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$1$	$1$		$0$	$2211840$	$1.907696$	$-10091699281/13932000$	$0.89938$	$3.79060$	$[0, 1, 0, -72033, -13715937]$	\(y^2=x^3+x^2-72033x-13715937\)	1720.2.0.?	$[]$
218010.c1	218010ck1	218010.c	218010ck	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 43 \)	\( - 2^{5} \cdot 3^{4} \cdot 5^{3} \cdot 13^{6} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$4.111105695$	$1$		$2$	$984960$	$1.345730$	$-10091699281/13932000$	$0.89938$	$3.22513$	$[1, 1, 0, -7608, 466848]$	\(y^2+xy=x^3+x^2-7608x+466848\)	1720.2.0.?	$[(147, 1524)]$
277350.ce1	277350ce1	277350.ce	277350ce	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \)	\( - 2^{5} \cdot 3^{4} \cdot 5^{9} \cdot 43^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$4.441118164$	$1$		$2$	$21288960$	$2.748573$	$-10091699281/13932000$	$0.89938$	$4.50636$	$[1, 1, 1, -2081088, -2127046719]$	\(y^2+xy+y=x^3+x^2-2081088x-2127046719\)	1720.2.0.?	$[(124825, 44036237)]$
316050.g1	316050g1	316050.g	316050g	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 \)	\( - 2^{5} \cdot 3^{4} \cdot 5^{9} \cdot 7^{6} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$3.408101544$	$1$		$2$	$4354560$	$1.840931$	$-10091699281/13932000$	$0.89938$	$3.59980$	$[1, 1, 0, -55150, -9195500]$	\(y^2+xy=x^3+x^2-55150x-9195500\)	1720.2.0.?	$[(295, 415)]$
372810.cj1	372810cj1	372810.cj	372810cj	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 17^{2} \cdot 43 \)	\( - 2^{5} \cdot 3^{4} \cdot 5^{3} \cdot 17^{6} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$0.784888126$	$1$		$4$	$1996800$	$1.479862$	$-10091699281/13932000$	$0.89938$	$3.21571$	$[1, 0, 0, -13011, 1049985]$	\(y^2+xy=x^3-13011x+1049985\)	1720.2.0.?	$[(24, 855)]$
443760.e1	443760e1	443760.e	443760e	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 43^{2} \)	\( - 2^{17} \cdot 3^{4} \cdot 5^{3} \cdot 43^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$1.819622291$	$1$		$4$	$21288960$	$2.637005$	$-10091699281/13932000$	$0.89938$	$4.24051$	$[0, -1, 0, -1331896, 1089047920]$	\(y^2=x^3-x^2-1331896x+1089047920\)	1720.2.0.?	$[(-14, 33282)]$
465690.ba1	465690ba1	465690.ba	465690ba	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( - 2^{5} \cdot 3^{4} \cdot 5^{3} \cdot 19^{6} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$1$	$1$		$0$	$3240000$	$1.535475$	$-10091699281/13932000$	$0.89938$	$3.21203$	$[1, 0, 1, -16253, -1468744]$	\(y^2+xy+y=x^3-16253x-1468744\)	1720.2.0.?	$[]$
468270.cy1	468270cy1	468270.cy	468270cy	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 43 \)	\( - 2^{5} \cdot 3^{10} \cdot 5^{3} \cdot 11^{6} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$1.818309679$	$1$		$2$	$4915200$	$1.811510$	$-10091699281/13932000$	$0.89938$	$3.46437$	$[1, -1, 1, -49028, 7700487]$	\(y^2+xy+y=x^3-x^2-49028x+7700487\)	1720.2.0.?	$[(377, 6345)]$