Elliptic curve search results

Results (24 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
5070.h1	5070h1	5070.h	5070h	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \)	\( 2^{18} \cdot 3^{6} \cdot 5^{3} \cdot 13^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.6.0.1	2B, 3Ns	$1560$	$144$	$5$	$4.289049559$	$1$		$3$	$336960$	$2.679916$	$570403428460237/23887872000$	$1.03085$	$6.68870$	$1$	$[1, 1, 0, -3795912, -2743222464]$	\(y^2+xy=x^3+x^2-3795912x-2743222464\)	2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 24.36.0.c.1, 30.36.0.d.1, $\ldots$	$[(-1233, 8649)]$	$1$
5070.l1	5070p1	5070.l	5070p	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \)	\( 2^{18} \cdot 3^{6} \cdot 5^{3} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.6.0.1	2B, 3Ns	$1560$	$144$	$5$	$0.628735221$	$1$		$9$	$25920$	$1.397442$	$570403428460237/23887872000$	$1.03085$	$4.88474$	$1$	$[1, 1, 1, -22461, -1257261]$	\(y^2+xy+y=x^3+x^2-22461x-1257261\)	2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 24.36.0.c.1, 30.36.0.d.1, $\ldots$	$[(-89, 260)]$	$1$
15210.r1	15210x1	15210.r	15210x	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( 2^{18} \cdot 3^{12} \cdot 5^{3} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.6.0.1	2B, 3Ns	$1560$	$144$	$5$	$1$	$1$		$1$	$207360$	$1.946749$	$570403428460237/23887872000$	$1.03085$	$5.01198$	$1$	$[1, -1, 0, -202149, 33743893]$	\(y^2+xy=x^3-x^2-202149x+33743893\)	2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 24.36.0.c.1, 30.36.0.d.1, $\ldots$	$[ ]$	$1$
15210.bf1	15210bl1	15210.bf	15210bl	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( 2^{18} \cdot 3^{12} \cdot 5^{3} \cdot 13^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.6.0.1	2B, 3Ns	$1560$	$144$	$5$	$1$	$1$		$1$	$2695680$	$3.229221$	$570403428460237/23887872000$	$1.03085$	$6.61013$	$1$	$[1, -1, 1, -34163213, 74032843317]$	\(y^2+xy+y=x^3-x^2-34163213x+74032843317\)	2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 24.36.0.c.1, 30.36.0.d.1, $\ldots$	$[ ]$	$1$
25350.bi1	25350bk1	25350.bi	25350bk	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( 2^{18} \cdot 3^{6} \cdot 5^{9} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.6.0.1	2B, 3Ns	$1560$	$144$	$5$	$1.022259060$	$1$		$7$	$622080$	$2.202160$	$570403428460237/23887872000$	$1.03085$	$5.06175$	$1$	$[1, 0, 1, -561526, -156034552]$	\(y^2+xy+y=x^3-561526x-156034552\)	2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 24.36.0.c.1, 30.36.0.d.1, $\ldots$	$[(-428, 2651)]$	$1$
25350.dc1	25350dc1	25350.dc	25350dc	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( 2^{18} \cdot 3^{6} \cdot 5^{9} \cdot 13^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.6.0.1	2B, 3Ns	$1560$	$144$	$5$	$1$	$1$		$1$	$8087040$	$3.484634$	$570403428460237/23887872000$	$1.03085$	$6.57939$	$1$	$[1, 0, 0, -94897813, -342713012383]$	\(y^2+xy=x^3-94897813x-342713012383\)	2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 24.36.0.c.1, 30.36.0.d.1, $\ldots$	$[ ]$	$1$
40560.by1	40560cn1	40560.by	40560cn	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \)	\( 2^{30} \cdot 3^{6} \cdot 5^{3} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.6.0.1	2B, 3Ns	$1560$	$144$	$5$	$1$	$1$		$1$	$622080$	$2.090588$	$570403428460237/23887872000$	$1.03085$	$4.71135$	$1$	$[0, 1, 0, -359376, 79745940]$	\(y^2=x^3+x^2-359376x+79745940\)	2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 24.36.0.c.1, 30.36.0.d.1, $\ldots$	$[ ]$	$1$
40560.cn1	40560da1	40560.cn	40560da	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \)	\( 2^{30} \cdot 3^{6} \cdot 5^{3} \cdot 13^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.6.0.1	2B, 3Ns	$1560$	$144$	$5$	$2.455861721$	$1$		$5$	$8087040$	$3.373062$	$570403428460237/23887872000$	$1.03085$	$6.16177$	$1$	$[0, 1, 0, -60734600, 175444768500]$	\(y^2=x^3+x^2-60734600x+175444768500\)	2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 24.36.0.c.1, 30.36.0.d.1, $\ldots$	$[(-620, 461370)]$	$1$
76050.be1	76050ca1	76050.be	76050ca	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{18} \cdot 3^{12} \cdot 5^{9} \cdot 13^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.6.0.1	2B, 3Ns	$1560$	$144$	$5$	$10.81555047$	$1$		$1$	$64696320$	$4.033943$	$570403428460237/23887872000$	$1.03085$	$6.52276$	$1$	$[1, -1, 0, -854080317, 9253251334341]$	\(y^2+xy=x^3-x^2-854080317x+9253251334341\)	2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 24.36.0.c.1, 30.36.0.d.1, $\ldots$	$[(-17254871/31, 129436907313/31)]$	$1$
76050.fe1	76050fh1	76050.fe	76050fh	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{18} \cdot 3^{12} \cdot 5^{9} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.6.0.1	2B, 3Ns	$1560$	$144$	$5$	$1$	$1$		$1$	$4976640$	$2.751469$	$570403428460237/23887872000$	$1.03085$	$5.15346$	$1$	$[1, -1, 1, -5053730, 4212932897]$	\(y^2+xy+y=x^3-x^2-5053730x+4212932897\)	2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 24.36.0.c.1, 30.36.0.d.1, $\ldots$	$[ ]$	$1$
121680.bn1	121680ei1	121680.bn	121680ei	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( 2^{30} \cdot 3^{12} \cdot 5^{3} \cdot 13^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.6.0.1	2B, 3Ns	$1560$	$144$	$5$	$1$	$25$	$5$	$1$	$64696320$	$3.922371$	$570403428460237/23887872000$	$1.03085$	$6.14659$	$1$	$[0, 0, 0, -546611403, -4737555360902]$	\(y^2=x^3-546611403x-4737555360902\)	2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 24.36.0.c.1, 30.36.0.d.1, $\ldots$	$[ ]$	$1$
121680.ec1	121680fq1	121680.ec	121680fq	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( 2^{30} \cdot 3^{12} \cdot 5^{3} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.6.0.1	2B, 3Ns	$1560$	$144$	$5$	$3.842313772$	$1$		$5$	$4976640$	$2.639896$	$570403428460237/23887872000$	$1.03085$	$4.83226$	$1$	$[0, 0, 0, -3234387, -2156374766]$	\(y^2=x^3-3234387x-2156374766\)	2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 24.36.0.c.1, 30.36.0.d.1, $\ldots$	$[(-897, 4810)]$	$1$
162240.ba1	162240dw1	162240.ba	162240dw	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \)	\( 2^{36} \cdot 3^{6} \cdot 5^{3} \cdot 13^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.6.0.1	2B, 3Ns	$1560$	$144$	$5$	$28.02023352$	$1$		$1$	$64696320$	$3.719639$	$570403428460237/23887872000$	$1.03085$	$5.79641$	$1$	$[0, -1, 0, -242938401, 1403801086401]$	\(y^2=x^3-x^2-242938401x+1403801086401\)	2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 24.36.0.c.1, 30.36.0.d.1, $\ldots$	$[(703626886056975/137269, 17235135583326211069584/137269)]$	$1$
162240.da1	162240cp1	162240.da	162240cp	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \)	\( 2^{36} \cdot 3^{6} \cdot 5^{3} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.6.0.1	2B, 3Ns	$1560$	$144$	$5$	$1$	$1$		$1$	$4976640$	$2.437164$	$570403428460237/23887872000$	$1.03085$	$4.51360$	$1$	$[0, -1, 0, -1437505, 639405025]$	\(y^2=x^3-x^2-1437505x+639405025\)	2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 24.36.0.c.1, 30.36.0.d.1, $\ldots$	$[ ]$	$1$
162240.ff1	162240ge1	162240.ff	162240ge	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \)	\( 2^{36} \cdot 3^{6} \cdot 5^{3} \cdot 13^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.6.0.1	2B, 3Ns	$1560$	$144$	$5$	$17.21736340$	$1$		$1$	$64696320$	$3.719639$	$570403428460237/23887872000$	$1.03085$	$5.79641$	$1$	$[0, 1, 0, -242938401, -1403801086401]$	\(y^2=x^3+x^2-242938401x-1403801086401\)	2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 24.36.0.c.1, 30.36.0.d.1, $\ldots$	$[(16739431635/871, 1318068700250112/871)]$	$1$
162240.hk1	162240fd1	162240.hk	162240fd	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \)	\( 2^{36} \cdot 3^{6} \cdot 5^{3} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.6.0.1	2B, 3Ns	$1560$	$144$	$5$	$1$	$1$		$1$	$4976640$	$2.437164$	$570403428460237/23887872000$	$1.03085$	$4.51360$	$1$	$[0, 1, 0, -1437505, -639405025]$	\(y^2=x^3+x^2-1437505x-639405025\)	2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 24.36.0.c.1, 30.36.0.d.1, $\ldots$	$[ ]$	$1$
202800.cl1	202800fi1	202800.cl	202800fi	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( 2^{30} \cdot 3^{6} \cdot 5^{9} \cdot 13^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.6.0.1	2B, 3Ns	$1560$	$144$	$5$	$11.72291089$	$1$		$1$	$194088960$	$4.177780$	$570403428460237/23887872000$	$1.03085$	$6.14046$	$1$	$[0, -1, 0, -1518365008, 21933632792512]$	\(y^2=x^3-x^2-1518365008x+21933632792512\)	2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 24.36.0.c.1, 30.36.0.d.1, $\ldots$	$[(59017906/19, 441495775422/19)]$	$1$
202800.dn1	202800fx1	202800.dn	202800fx	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( 2^{30} \cdot 3^{6} \cdot 5^{9} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.6.0.1	2B, 3Ns	$1560$	$144$	$5$	$2.497938418$	$1$		$3$	$14929920$	$2.895309$	$570403428460237/23887872000$	$1.03085$	$4.88107$	$1$	$[0, -1, 0, -8984408, 9986211312]$	\(y^2=x^3-x^2-8984408x+9986211312\)	2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 24.36.0.c.1, 30.36.0.d.1, $\ldots$	$[(962, 47250)]$	$1$
248430.dy1	248430dy1	248430.dy	248430dy	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( 2^{18} \cdot 3^{6} \cdot 5^{3} \cdot 7^{6} \cdot 13^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.6.0.1	2B, 3Ns	$1560$	$144$	$5$	$1$	$1$		$1$	$129392640$	$3.652870$	$570403428460237/23887872000$	$1.03085$	$5.53311$	$1$	$[1, 0, 1, -185999714, 940367306036]$	\(y^2+xy+y=x^3-185999714x+940367306036\)	2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 24.36.0.c.1, 30.36.0.d.1, $\ldots$	$[ ]$	$1$
248430.jc1	248430jc1	248430.jc	248430jc	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( 2^{18} \cdot 3^{6} \cdot 5^{3} \cdot 7^{6} \cdot 13^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.6.0.1	2B, 3Ns	$1560$	$144$	$5$	$0.166148284$	$1$		$55$	$9953280$	$2.370396$	$570403428460237/23887872000$	$1.03085$	$4.29430$	$1$	$[1, 0, 0, -1100590, 427938692]$	\(y^2+xy=x^3-1100590x+427938692\)	2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 24.36.0.c.1, 30.36.0.d.1, $\ldots$	$[(284, 11618), (404, 6818)]$	$1$
486720.do1	486720do1	486720.do	486720do	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( 2^{36} \cdot 3^{12} \cdot 5^{3} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.6.0.1	2B, 3Ns	$1560$	$144$	$5$	$5.654635403$	$1$		$3$	$39813120$	$2.986469$	$570403428460237/23887872000$	$1.03085$	$4.63830$	$1$	$[0, 0, 0, -12937548, 17250998128]$	\(y^2=x^3-12937548x+17250998128\)	2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 24.36.0.c.1, 30.36.0.d.1, $\ldots$	$[(-4108, 32760)]$	$1$
486720.ev1	486720ev1	486720.ev	486720ev	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( 2^{36} \cdot 3^{12} \cdot 5^{3} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.6.0.1	2B, 3Ns	$1560$	$144$	$5$	$1$	$1$		$1$	$39813120$	$2.986469$	$570403428460237/23887872000$	$1.03085$	$4.63830$	$1$	$[0, 0, 0, -12937548, -17250998128]$	\(y^2=x^3-12937548x-17250998128\)	2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 24.36.0.c.1, 30.36.0.d.1, $\ldots$	$[ ]$	$1$
486720.lz1	486720lz1	486720.lz	486720lz	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( 2^{36} \cdot 3^{12} \cdot 5^{3} \cdot 13^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.6.0.1	2B, 3Ns	$1560$	$144$	$5$	$16.34921584$	$1$		$1$	$517570560$	$4.268944$	$570403428460237/23887872000$	$1.03085$	$5.81349$	$1$	$[0, 0, 0, -2186445612, -37900442887216]$	\(y^2=x^3-2186445612x-37900442887216\)	2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 24.36.0.c.1, 30.36.0.d.1, $\ldots$	$[(-3986596432/359, 17002898445260/359)]$	$1$
486720.ni1	486720ni1	486720.ni	486720ni	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( 2^{36} \cdot 3^{12} \cdot 5^{3} \cdot 13^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.6.0.1	2B, 3Ns	$1560$	$144$	$5$	$1$	$9$	$3$	$1$	$517570560$	$4.268944$	$570403428460237/23887872000$	$1.03085$	$5.81349$	$1$	$[0, 0, 0, -2186445612, 37900442887216]$	\(y^2=x^3-2186445612x+37900442887216\)	2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 24.36.0.c.1, 30.36.0.d.1, $\ldots$	$[ ]$	$1$

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