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	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
3630.i2	3630g2	3630.i	3630g	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{14} \cdot 5^{4} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$1$	$1$		$0$	$236544$	$2.757771$	$1281177907381/765275040000$	$1.11234$	$6.88037$	$[1, 0, 1, 301166, -2042763868]$	\(y^2+xy+y=x^3+301166x-2042763868\)	2.3.0.a.1, 12.6.0.f.1, 22.6.0.a.1, 132.12.0.?	$[ ]$
3630.t2	3630t2	3630.t	3630t	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{14} \cdot 5^{4} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$0.124716367$	$1$		$18$	$21504$	$1.558823$	$1281177907381/765275040000$	$1.11234$	$5.12517$	$[1, 0, 0, 2489, 1534985]$	\(y^2+xy=x^3+2489x+1534985\)	2.3.0.a.1, 12.6.0.f.1, 22.6.0.a.1, 132.12.0.?	$[(-34, 1205)]$
10890.q2	10890t2	10890.q	10890t	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{20} \cdot 5^{4} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$1.538295477$	$1$		$6$	$172032$	$2.108128$	$1281177907381/765275040000$	$1.11234$	$5.22856$	$[1, -1, 0, 22401, -41444595]$	\(y^2+xy=x^3-x^2+22401x-41444595\)	2.3.0.a.1, 12.6.0.f.1, 22.6.0.a.1, 132.12.0.?	$[(366, 3777)]$
10890.cc2	10890bx2	10890.cc	10890bx	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{20} \cdot 5^{4} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$1$	$1$		$0$	$1892352$	$3.307076$	$1281177907381/765275040000$	$1.11234$	$6.77632$	$[1, -1, 1, 2710498, 55154624429]$	\(y^2+xy+y=x^3-x^2+2710498x+55154624429\)	2.3.0.a.1, 12.6.0.f.1, 22.6.0.a.1, 132.12.0.?	$[ ]$
18150.p2	18150b2	18150.p	18150b	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{14} \cdot 5^{10} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$2.678024315$	$1$		$2$	$516096$	$2.363541$	$1281177907381/765275040000$	$1.11234$	$5.26875$	$[1, 1, 0, 62225, 191873125]$	\(y^2+xy=x^3+x^2+62225x+191873125\)	2.3.0.a.1, 12.6.0.f.1, 22.6.0.a.1, 132.12.0.?	$[(990, 34505)]$
18150.bz2	18150bu2	18150.bz	18150bu	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{14} \cdot 5^{10} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$1$	$1$		$0$	$5677056$	$3.562489$	$1281177907381/765275040000$	$1.11234$	$6.73588$	$[1, 1, 1, 7529162, -255345483469]$	\(y^2+xy+y=x^3+x^2+7529162x-255345483469\)	2.3.0.a.1, 12.6.0.f.1, 22.6.0.a.1, 132.12.0.?	$[ ]$
29040.j2	29040bu2	29040.j	29040bu	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( - 2^{20} \cdot 3^{14} \cdot 5^{4} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$1$	$4$	$2$	$1$	$5677056$	$3.450916$	$1281177907381/765275040000$	$1.11234$	$6.29753$	$[0, -1, 0, 4818664, 130736887536]$	\(y^2=x^3-x^2+4818664x+130736887536\)	2.3.0.a.1, 12.6.0.f.1, 22.6.0.a.1, 132.12.0.?	$[ ]$
29040.u2	29040bt2	29040.u	29040bt	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( - 2^{20} \cdot 3^{14} \cdot 5^{4} \cdot 11^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$1$	$1$		$1$	$516096$	$2.251968$	$1281177907381/765275040000$	$1.11234$	$4.89749$	$[0, -1, 0, 39824, -98239040]$	\(y^2=x^3-x^2+39824x-98239040\)	2.3.0.a.1, 12.6.0.f.1, 22.6.0.a.1, 132.12.0.?	$[ ]$
54450.y2	54450bj2	54450.y	54450bj	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{20} \cdot 5^{10} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$1$	$1$		$0$	$45416448$	$4.111794$	$1281177907381/765275040000$	$1.11234$	$6.66175$	$[1, -1, 0, 67762458, 6894395816116]$	\(y^2+xy=x^3-x^2+67762458x+6894395816116\)	2.3.0.a.1, 12.6.0.f.1, 22.6.0.a.1, 132.12.0.?	$[ ]$
54450.gm2	54450fa2	54450.gm	54450fa	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{20} \cdot 5^{10} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$2.852709940$	$1$		$4$	$4128768$	$2.912846$	$1281177907381/765275040000$	$1.11234$	$5.34241$	$[1, -1, 1, 560020, -5180014353]$	\(y^2+xy+y=x^3-x^2+560020x-5180014353\)	2.3.0.a.1, 12.6.0.f.1, 22.6.0.a.1, 132.12.0.?	$[(3263, 175515)]$
87120.ea2	87120fd2	87120.ea	87120fd	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{20} \cdot 3^{20} \cdot 5^{4} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$1$	$4$	$2$	$1$	$45416448$	$4.000221$	$1281177907381/765275040000$	$1.11234$	$6.26879$	$[0, 0, 0, 43367973, -3529939331446]$	\(y^2=x^3+43367973x-3529939331446\)	2.3.0.a.1, 12.6.0.f.1, 22.6.0.a.1, 132.12.0.?	$[ ]$
87120.fl2	87120fc2	87120.fl	87120fc	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{20} \cdot 3^{20} \cdot 5^{4} \cdot 11^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$1$	$1$		$1$	$4128768$	$2.801273$	$1281177907381/765275040000$	$1.11234$	$5.00397$	$[0, 0, 0, 358413, 2652095666]$	\(y^2=x^3+358413x+2652095666\)	2.3.0.a.1, 12.6.0.f.1, 22.6.0.a.1, 132.12.0.?	$[ ]$
116160.dd2	116160bj2	116160.dd	116160bj	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( - 2^{26} \cdot 3^{14} \cdot 5^{4} \cdot 11^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$1$	$1$		$1$	$4128768$	$2.598541$	$1281177907381/765275040000$	$1.11234$	$4.67194$	$[0, -1, 0, 159295, 785753025]$	\(y^2=x^3-x^2+159295x+785753025\)	2.3.0.a.1, 12.6.0.f.1, 22.6.0.a.1, 132.12.0.?	$[ ]$
116160.ea2	116160bi2	116160.ea	116160bi	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( - 2^{26} \cdot 3^{14} \cdot 5^{4} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$1$	$9$	$3$	$1$	$45416448$	$3.797489$	$1281177907381/765275040000$	$1.11234$	$5.90556$	$[0, -1, 0, 19274655, -1045914374943]$	\(y^2=x^3-x^2+19274655x-1045914374943\)	2.3.0.a.1, 12.6.0.f.1, 22.6.0.a.1, 132.12.0.?	$[ ]$
116160.hu2	116160in2	116160.hu	116160in	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( - 2^{26} \cdot 3^{14} \cdot 5^{4} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$1$	$1$		$1$	$45416448$	$3.797489$	$1281177907381/765275040000$	$1.11234$	$5.90556$	$[0, 1, 0, 19274655, 1045914374943]$	\(y^2=x^3+x^2+19274655x+1045914374943\)	2.3.0.a.1, 12.6.0.f.1, 22.6.0.a.1, 132.12.0.?	$[ ]$
116160.jc2	116160ik2	116160.jc	116160ik	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( - 2^{26} \cdot 3^{14} \cdot 5^{4} \cdot 11^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$1$	$1$		$1$	$4128768$	$2.598541$	$1281177907381/765275040000$	$1.11234$	$4.67194$	$[0, 1, 0, 159295, -785753025]$	\(y^2=x^3+x^2+159295x-785753025\)	2.3.0.a.1, 12.6.0.f.1, 22.6.0.a.1, 132.12.0.?	$[ ]$
145200.hh2	145200bx2	145200.hh	145200bx	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{20} \cdot 3^{14} \cdot 5^{10} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$1.627178550$	$1$		$7$	$12386304$	$3.056686$	$1281177907381/765275040000$	$1.11234$	$5.04678$	$[0, 1, 0, 995592, -12277888812]$	\(y^2=x^3+x^2+995592x-12277888812\)	2.3.0.a.1, 12.6.0.f.1, 22.6.0.a.1, 132.12.0.?	$[(4038, 240000)]$
145200.jm2	145200cx2	145200.jm	145200cx	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{20} \cdot 3^{14} \cdot 5^{10} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$3.212521439$	$1$		$3$	$136249344$	$4.255638$	$1281177907381/765275040000$	$1.11234$	$6.25724$	$[0, 1, 0, 120466592, 16342351875188]$	\(y^2=x^3+x^2+120466592x+16342351875188\)	2.3.0.a.1, 12.6.0.f.1, 22.6.0.a.1, 132.12.0.?	$[(74618, 20995200)]$
177870.bd2	177870hx2	177870.bd	177870hx	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{14} \cdot 5^{4} \cdot 7^{6} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$6.402613790$	$1$		$2$	$85155840$	$3.730724$	$1281177907381/765275040000$	$1.11234$	$5.63114$	$[1, 1, 0, 14757158, 700682763796]$	\(y^2+xy=x^3+x^2+14757158x+700682763796\)	2.3.0.a.1, 12.6.0.f.1, 22.6.0.a.1, 132.12.0.?	$[(50532, 11397614)]$
177870.gr2	177870dl2	177870.gr	177870dl	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( - 2^{8} \cdot 3^{14} \cdot 5^{4} \cdot 7^{6} \cdot 11^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$1$	$1$		$0$	$7741440$	$2.531776$	$1281177907381/765275040000$	$1.11234$	$4.44100$	$[1, 1, 1, 121960, -526377895]$	\(y^2+xy+y=x^3+x^2+121960x-526377895\)	2.3.0.a.1, 12.6.0.f.1, 22.6.0.a.1, 132.12.0.?	$[ ]$
348480.bx2	348480bx2	348480.bx	348480bx	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{26} \cdot 3^{20} \cdot 5^{4} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$37.06840858$	$1$		$1$	$363331584$	$4.346794$	$1281177907381/765275040000$	$1.11234$	$5.91369$	$[0, 0, 0, 173471892, -28239514651568]$	\(y^2=x^3+173471892x-28239514651568\)	2.3.0.a.1, 12.6.0.f.1, 22.6.0.a.1, 132.12.0.?	$[(70043625919547184/1565417, 1021595462693464506441700/1565417)]$
348480.cw2	348480cw2	348480.cw	348480cw	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{26} \cdot 3^{20} \cdot 5^{4} \cdot 11^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$1$	$4$	$2$	$1$	$33030144$	$3.147850$	$1281177907381/765275040000$	$1.11234$	$4.78627$	$[0, 0, 0, 1433652, -21216765328]$	\(y^2=x^3+1433652x-21216765328\)	2.3.0.a.1, 12.6.0.f.1, 22.6.0.a.1, 132.12.0.?	$[ ]$
348480.gc2	348480gc2	348480.gc	348480gc	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{26} \cdot 3^{20} \cdot 5^{4} \cdot 11^{9} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$78.85243682$	$1$		$5$	$363331584$	$4.346794$	$1281177907381/765275040000$	$1.11234$	$5.91369$	$[0, 0, 0, 173471892, 28239514651568]$	\(y^2=x^3+173471892x+28239514651568\)	2.3.0.a.1, 12.6.0.f.1, 22.6.0.a.1, 132.12.0.?	$[(-2312, 5275044), (-575840936/233, 63506908894572/233)]$
348480.hb2	348480hb2	348480.hb	348480hb	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{26} \cdot 3^{20} \cdot 5^{4} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$15.71804925$	$1$		$1$	$33030144$	$3.147850$	$1281177907381/765275040000$	$1.11234$	$4.78627$	$[0, 0, 0, 1433652, 21216765328]$	\(y^2=x^3+1433652x+21216765328\)	2.3.0.a.1, 12.6.0.f.1, 22.6.0.a.1, 132.12.0.?	$[(66259264/21, 539367854500/21)]$
435600.fz2	435600fz2	435600.fz	435600fz	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{20} \cdot 3^{20} \cdot 5^{10} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$3.742476654$	$1$		$3$	$99090432$	$3.605995$	$1281177907381/765275040000$	$1.11234$	$5.12743$	$[0, 0, 0, 8960325, 331511958250]$	\(y^2=x^3+8960325x+331511958250\)	2.3.0.a.1, 12.6.0.f.1, 22.6.0.a.1, 132.12.0.?	$[(-3795, 492800)]$
435600.oq2	435600oq2	435600.oq	435600oq	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{20} \cdot 3^{20} \cdot 5^{10} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$32.72331145$	$1$		$1$	$1089994752$	$4.804939$	$1281177907381/765275040000$	$1.11234$	$6.23547$	$[0, 0, 0, 1084199325, -441242416430750]$	\(y^2=x^3+1084199325x-441242416430750\)	2.3.0.a.1, 12.6.0.f.1, 22.6.0.a.1, 132.12.0.?	$[(185150466987796865/463079, 79699226453273139564960000/463079)]$

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