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.i1	3630g1	3630.i	3630g	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \)	\( 2^{16} \cdot 3^{7} \cdot 5^{2} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$1$	$1$		$1$	$118272$	$2.411198$	$129392980254539/3583180800$	$1.02654$	$6.59693$	$[1, 0, 1, -1402514, -623939164]$	\(y^2+xy+y=x^3-1402514x-623939164\)	2.3.0.a.1, 12.6.0.f.1, 44.6.0.c.1, 66.6.0.a.1, 132.12.0.?	$[ ]$
3630.t1	3630t1	3630.t	3630t	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \)	\( 2^{16} \cdot 3^{7} \cdot 5^{2} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$0.062358183$	$1$		$25$	$10752$	$1.212248$	$129392980254539/3583180800$	$1.02654$	$4.84172$	$[1, 0, 0, -11591, 467721]$	\(y^2+xy=x^3-11591x+467721\)	2.3.0.a.1, 12.6.0.f.1, 44.6.0.c.1, 66.6.0.a.1, 132.12.0.?	$[(46, 157)]$
10890.q1	10890t1	10890.q	10890t	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{16} \cdot 3^{13} \cdot 5^{2} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$3.076590954$	$1$		$5$	$86016$	$1.761555$	$129392980254539/3583180800$	$1.02654$	$4.97862$	$[1, -1, 0, -104319, -12628467]$	\(y^2+xy=x^3-x^2-104319x-12628467\)	2.3.0.a.1, 12.6.0.f.1, 44.6.0.c.1, 66.6.0.a.1, 132.12.0.?	$[(-173, 554)]$
10890.cc1	10890bx1	10890.cc	10890bx	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{16} \cdot 3^{13} \cdot 5^{2} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$1$	$1$		$1$	$946176$	$2.960503$	$129392980254539/3583180800$	$1.02654$	$6.52638$	$[1, -1, 1, -12622622, 16846357421]$	\(y^2+xy+y=x^3-x^2-12622622x+16846357421\)	2.3.0.a.1, 12.6.0.f.1, 44.6.0.c.1, 66.6.0.a.1, 132.12.0.?	$[ ]$
18150.p1	18150b1	18150.p	18150b	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( 2^{16} \cdot 3^{7} \cdot 5^{8} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$5.356048631$	$1$		$3$	$258048$	$2.016968$	$129392980254539/3583180800$	$1.02654$	$5.03182$	$[1, 1, 0, -289775, 58465125]$	\(y^2+xy=x^3+x^2-289775x+58465125\)	2.3.0.a.1, 12.6.0.f.1, 44.6.0.c.1, 66.6.0.a.1, 132.12.0.?	$[(-269, 10953)]$
18150.bz1	18150bu1	18150.bz	18150bu	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( 2^{16} \cdot 3^{7} \cdot 5^{8} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$1$	$1$		$1$	$2838528$	$3.215916$	$129392980254539/3583180800$	$1.02654$	$6.49896$	$[1, 1, 1, -35062838, -77992395469]$	\(y^2+xy+y=x^3+x^2-35062838x-77992395469\)	2.3.0.a.1, 12.6.0.f.1, 44.6.0.c.1, 66.6.0.a.1, 132.12.0.?	$[ ]$
29040.j1	29040bu1	29040.j	29040bu	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( 2^{28} \cdot 3^{7} \cdot 5^{2} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$1$	$4$	$2$	$1$	$2838528$	$3.104343$	$129392980254539/3583180800$	$1.02654$	$6.07144$	$[0, -1, 0, -22440216, 39932106480]$	\(y^2=x^3-x^2-22440216x+39932106480\)	2.3.0.a.1, 12.6.0.f.1, 44.6.0.c.1, 66.6.0.a.1, 132.12.0.?	$[ ]$
29040.u1	29040bt1	29040.u	29040bt	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( 2^{28} \cdot 3^{7} \cdot 5^{2} \cdot 11^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$1$	$1$		$1$	$258048$	$1.905396$	$129392980254539/3583180800$	$1.02654$	$4.67140$	$[0, -1, 0, -185456, -29934144]$	\(y^2=x^3-x^2-185456x-29934144\)	2.3.0.a.1, 12.6.0.f.1, 44.6.0.c.1, 66.6.0.a.1, 132.12.0.?	$[ ]$
54450.y1	54450bj1	54450.y	54450bj	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( 2^{16} \cdot 3^{13} \cdot 5^{8} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$1$	$1$		$1$	$22708224$	$3.765221$	$129392980254539/3583180800$	$1.02654$	$6.44869$	$[1, -1, 0, -315565542, 2105479112116]$	\(y^2+xy=x^3-x^2-315565542x+2105479112116\)	2.3.0.a.1, 12.6.0.f.1, 44.6.0.c.1, 66.6.0.a.1, 132.12.0.?	$[ ]$
54450.gm1	54450fa1	54450.gm	54450fa	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( 2^{16} \cdot 3^{13} \cdot 5^{8} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$1.426354970$	$1$		$7$	$2064384$	$2.566273$	$129392980254539/3583180800$	$1.02654$	$5.12936$	$[1, -1, 1, -2607980, -1581166353]$	\(y^2+xy+y=x^3-x^2-2607980x-1581166353\)	2.3.0.a.1, 12.6.0.f.1, 44.6.0.c.1, 66.6.0.a.1, 132.12.0.?	$[(-961, 6555)]$
87120.ea1	87120fd1	87120.ea	87120fd	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{28} \cdot 3^{13} \cdot 5^{2} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$1$	$4$	$2$	$1$	$22708224$	$3.653648$	$129392980254539/3583180800$	$1.02654$	$6.06454$	$[0, 0, 0, -201961947, -1077964913014]$	\(y^2=x^3-201961947x-1077964913014\)	2.3.0.a.1, 12.6.0.f.1, 44.6.0.c.1, 66.6.0.a.1, 132.12.0.?	$[ ]$
87120.fl1	87120fc1	87120.fl	87120fc	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{28} \cdot 3^{13} \cdot 5^{2} \cdot 11^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$1$	$1$		$1$	$2064384$	$2.454700$	$129392980254539/3583180800$	$1.02654$	$4.79972$	$[0, 0, 0, -1669107, 809890994]$	\(y^2=x^3-1669107x+809890994\)	2.3.0.a.1, 12.6.0.f.1, 44.6.0.c.1, 66.6.0.a.1, 132.12.0.?	$[ ]$
116160.dd1	116160bj1	116160.dd	116160bj	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( 2^{34} \cdot 3^{7} \cdot 5^{2} \cdot 11^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$1$	$1$		$1$	$2064384$	$2.251968$	$129392980254539/3583180800$	$1.02654$	$4.47273$	$[0, -1, 0, -741825, 240214977]$	\(y^2=x^3-x^2-741825x+240214977\)	2.3.0.a.1, 12.6.0.f.1, 44.6.0.c.1, 66.6.0.a.1, 132.12.0.?	$[ ]$
116160.ea1	116160bi1	116160.ea	116160bi	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( 2^{34} \cdot 3^{7} \cdot 5^{2} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$1$	$9$	$3$	$1$	$22708224$	$3.450916$	$129392980254539/3583180800$	$1.02654$	$5.70635$	$[0, -1, 0, -89760865, -319367090975]$	\(y^2=x^3-x^2-89760865x-319367090975\)	2.3.0.a.1, 12.6.0.f.1, 44.6.0.c.1, 66.6.0.a.1, 132.12.0.?	$[ ]$
116160.hu1	116160in1	116160.hu	116160in	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( 2^{34} \cdot 3^{7} \cdot 5^{2} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$1$	$1$		$1$	$22708224$	$3.450916$	$129392980254539/3583180800$	$1.02654$	$5.70635$	$[0, 1, 0, -89760865, 319367090975]$	\(y^2=x^3+x^2-89760865x+319367090975\)	2.3.0.a.1, 12.6.0.f.1, 44.6.0.c.1, 66.6.0.a.1, 132.12.0.?	$[ ]$
116160.jc1	116160ik1	116160.jc	116160ik	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( 2^{34} \cdot 3^{7} \cdot 5^{2} \cdot 11^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$1$	$1$		$1$	$2064384$	$2.251968$	$129392980254539/3583180800$	$1.02654$	$4.47273$	$[0, 1, 0, -741825, -240214977]$	\(y^2=x^3+x^2-741825x-240214977\)	2.3.0.a.1, 12.6.0.f.1, 44.6.0.c.1, 66.6.0.a.1, 132.12.0.?	$[ ]$
145200.hh1	145200bx1	145200.hh	145200bx	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( 2^{28} \cdot 3^{7} \cdot 5^{8} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$3.254357101$	$1$		$5$	$6193152$	$2.710114$	$129392980254539/3583180800$	$1.02654$	$4.85130$	$[0, 1, 0, -4636408, -3751040812]$	\(y^2=x^3+x^2-4636408x-3751040812\)	2.3.0.a.1, 12.6.0.f.1, 44.6.0.c.1, 66.6.0.a.1, 132.12.0.?	$[(-1357, 6600)]$
145200.jm1	145200cx1	145200.jm	145200cx	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( 2^{28} \cdot 3^{7} \cdot 5^{8} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$6.425042879$	$1$		$3$	$68124672$	$3.909061$	$129392980254539/3583180800$	$1.02654$	$6.06176$	$[0, 1, 0, -561005408, 4990391299188]$	\(y^2=x^3+x^2-561005408x+4990391299188\)	2.3.0.a.1, 12.6.0.f.1, 44.6.0.c.1, 66.6.0.a.1, 132.12.0.?	$[(-81, 2244066)]$
177870.bd1	177870hx1	177870.bd	177870hx	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( 2^{16} \cdot 3^{7} \cdot 5^{2} \cdot 7^{6} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$12.80522758$	$1$		$1$	$42577920$	$3.384151$	$129392980254539/3583180800$	$1.02654$	$5.43895$	$[1, 1, 0, -68723162, 213942410004]$	\(y^2+xy=x^3+x^2-68723162x+213942410004\)	2.3.0.a.1, 12.6.0.f.1, 44.6.0.c.1, 66.6.0.a.1, 132.12.0.?	$[(13049668/31, 39598864226/31)]$
177870.gr1	177870dl1	177870.gr	177870dl	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( 2^{16} \cdot 3^{7} \cdot 5^{2} \cdot 7^{6} \cdot 11^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$1$	$1$		$1$	$3870720$	$2.185204$	$129392980254539/3583180800$	$1.02654$	$4.24881$	$[1, 1, 1, -567960, -160996263]$	\(y^2+xy+y=x^3+x^2-567960x-160996263\)	2.3.0.a.1, 12.6.0.f.1, 44.6.0.c.1, 66.6.0.a.1, 132.12.0.?	$[ ]$
348480.bx1	348480bx1	348480.bx	348480bx	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{34} \cdot 3^{13} \cdot 5^{2} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$18.53420429$	$1$		$1$	$181665792$	$4.000221$	$129392980254539/3583180800$	$1.02654$	$5.73163$	$[0, 0, 0, -807847788, -8623719304112]$	\(y^2=x^3-807847788x-8623719304112\)	2.3.0.a.1, 12.6.0.f.1, 44.6.0.c.1, 66.6.0.a.1, 132.12.0.?	$[(-40469312166/1481, 70494801018880/1481)]$
348480.cw1	348480cw1	348480.cw	348480cw	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{34} \cdot 3^{13} \cdot 5^{2} \cdot 11^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$1$	$1$		$1$	$16515072$	$2.801273$	$129392980254539/3583180800$	$1.02654$	$4.60421$	$[0, 0, 0, -6676428, -6479127952]$	\(y^2=x^3-6676428x-6479127952\)	2.3.0.a.1, 12.6.0.f.1, 44.6.0.c.1, 66.6.0.a.1, 132.12.0.?	$[ ]$
348480.gc1	348480gc1	348480.gc	348480gc	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{34} \cdot 3^{13} \cdot 5^{2} \cdot 11^{9} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$19.71310920$	$1$		$7$	$181665792$	$4.000221$	$129392980254539/3583180800$	$1.02654$	$5.73163$	$[0, 0, 0, -807847788, 8623719304112]$	\(y^2=x^3-807847788x+8623719304112\)	2.3.0.a.1, 12.6.0.f.1, 44.6.0.c.1, 66.6.0.a.1, 132.12.0.?	$[(22264, 1293732), (4479541/19, 4898392785/19)]$
348480.hb1	348480hb1	348480.hb	348480hb	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{34} \cdot 3^{13} \cdot 5^{2} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$7.859024629$	$1$		$1$	$16515072$	$2.801273$	$129392980254539/3583180800$	$1.02654$	$4.60421$	$[0, 0, 0, -6676428, 6479127952]$	\(y^2=x^3-6676428x+6479127952\)	2.3.0.a.1, 12.6.0.f.1, 44.6.0.c.1, 66.6.0.a.1, 132.12.0.?	$[(11584/3, 114940/3)]$
435600.fz1	435600fz1	435600.fz	435600fz	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( 2^{28} \cdot 3^{13} \cdot 5^{8} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$7.484953308$	$1$		$1$	$49545216$	$3.259422$	$129392980254539/3583180800$	$1.02654$	$4.94849$	$[0, 0, 0, -41727675, 101236374250]$	\(y^2=x^3-41727675x+101236374250\)	2.3.0.a.1, 12.6.0.f.1, 44.6.0.c.1, 66.6.0.a.1, 132.12.0.?	$[(8129/2, 1260567/2)]$
435600.oq1	435600oq1	435600.oq	435600oq	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( 2^{28} \cdot 3^{13} \cdot 5^{8} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$65.44662290$	$1$		$1$	$544997376$	$4.458366$	$129392980254539/3583180800$	$1.02654$	$6.05654$	$[0, 0, 0, -5049048675, -134745614126750]$	\(y^2=x^3-5049048675x-134745614126750\)	2.3.0.a.1, 12.6.0.f.1, 44.6.0.c.1, 66.6.0.a.1, 132.12.0.?	$[(4293223779188171166039250582289/4407337248577, 8364518658151223331687606780566694523223334912/4407337248577)]$

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