Elliptic curve search results

Results (14 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
43680.r2	43680bk3	43680.r	43680bk	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{9} \cdot 3^{4} \cdot 5 \cdot 7^{2} \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$1560$	$48$	$0$	$1$	$1$		$1$	$57344$	$0.940392$	$6562309703048/566793045$	$0.89381$	$3.34599$	$[0, -1, 0, -3120, -60840]$	\(y^2=x^3-x^2-3120x-60840\)	2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.v.1.1, 312.24.0.?, 1560.48.0.?	$[ ]$
43680.cj2	43680cl3	43680.cj	43680cl	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{9} \cdot 3^{4} \cdot 5 \cdot 7^{2} \cdot 13^{4} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$1560$	$48$	$0$	$1$	$1$		$3$	$57344$	$0.940392$	$6562309703048/566793045$	$0.89381$	$3.34599$	$[0, 1, 0, -3120, 60840]$	\(y^2=x^3+x^2-3120x+60840\)	2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.v.1.3, 312.24.0.?, 1560.48.0.?	$[ ]$
87360.bk1	87360em4	87360.bk	87360em	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{15} \cdot 3^{4} \cdot 5 \cdot 7^{2} \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$1560$	$48$	$0$	$2.021350022$	$1$		$5$	$229376$	$1.286966$	$6562309703048/566793045$	$0.89381$	$3.50767$	$[0, -1, 0, -12481, 499201]$	\(y^2=x^3-x^2-12481x+499201\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 20.12.0-4.c.1.2, 40.24.0-40.v.1.2, $\ldots$	$[(115, 756)]$
87360.dz1	87360fw4	87360.dz	87360fw	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{15} \cdot 3^{4} \cdot 5 \cdot 7^{2} \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$1560$	$48$	$0$	$0.985244345$	$1$		$7$	$229376$	$1.286966$	$6562309703048/566793045$	$0.89381$	$3.50767$	$[0, 1, 0, -12481, -499201]$	\(y^2=x^3+x^2-12481x-499201\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 20.12.0-4.c.1.1, 40.24.0-40.v.1.4, $\ldots$	$[(-73, 168)]$
131040.o2	131040dj2	131040.o	131040dj	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{9} \cdot 3^{10} \cdot 5 \cdot 7^{2} \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1560$	$48$	$0$	$1.268659745$	$1$		$5$	$458752$	$1.489698$	$6562309703048/566793045$	$0.89381$	$3.59343$	$[0, 0, 0, -28083, 1670762]$	\(y^2=x^3-28083x+1670762\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.v.1, 104.12.0.?, $\ldots$	$[(-38, 1638)]$
131040.bw2	131040cw4	131040.bw	131040cw	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{9} \cdot 3^{10} \cdot 5 \cdot 7^{2} \cdot 13^{4} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1560$	$48$	$0$	$2.031700701$	$1$		$15$	$458752$	$1.489698$	$6562309703048/566793045$	$0.89381$	$3.59343$	$[0, 0, 0, -28083, -1670762]$	\(y^2=x^3-28083x-1670762\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.v.1, 104.12.0.?, $\ldots$	$[(-79, 234), (857, 24570)]$
218400.l2	218400fm2	218400.l	218400fm	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{9} \cdot 3^{4} \cdot 5^{7} \cdot 7^{2} \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$1560$	$48$	$0$	$1.324543696$	$1$		$7$	$1376256$	$1.745111$	$6562309703048/566793045$	$0.89381$	$3.69343$	$[0, -1, 0, -78008, 7761012]$	\(y^2=x^3-x^2-78008x+7761012\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 20.12.0-4.c.1.2, 40.24.0-40.v.1.2, $\ldots$	$[(28, 2366)]$
218400.ey2	218400dd4	218400.ey	218400dd	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{9} \cdot 3^{4} \cdot 5^{7} \cdot 7^{2} \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$1560$	$48$	$0$	$4.567438647$	$1$		$1$	$1376256$	$1.745111$	$6562309703048/566793045$	$0.89381$	$3.69343$	$[0, 1, 0, -78008, -7761012]$	\(y^2=x^3+x^2-78008x-7761012\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 20.12.0-4.c.1.1, 40.24.0-40.v.1.4, $\ldots$	$[(-707/2, 5859/2)]$
262080.in1	262080in3	262080.in	262080in	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{15} \cdot 3^{10} \cdot 5 \cdot 7^{2} \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1560$	$48$	$0$	$1$	$1$		$1$	$1835008$	$1.836271$	$6562309703048/566793045$	$0.89381$	$3.72713$	$[0, 0, 0, -112332, 13366096]$	\(y^2=x^3-112332x+13366096\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 40.12.0.v.1, 60.12.0-4.c.1.1, $\ldots$	$[ ]$
262080.ln1	262080ln4	262080.ln	262080ln	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{15} \cdot 3^{10} \cdot 5 \cdot 7^{2} \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1560$	$48$	$0$	$2.214974225$	$1$		$5$	$1835008$	$1.836271$	$6562309703048/566793045$	$0.89381$	$3.72713$	$[0, 0, 0, -112332, -13366096]$	\(y^2=x^3-112332x-13366096\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 40.12.0.v.1, 60.12.0-4.c.1.2, $\ldots$	$[(-155, 567)]$
305760.s2	305760s4	305760.s	305760s	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{9} \cdot 3^{4} \cdot 5 \cdot 7^{8} \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$10920$	$48$	$0$	$5.845256334$	$1$		$1$	$2752512$	$1.913347$	$6562309703048/566793045$	$0.89381$	$3.75487$	$[0, -1, 0, -152896, -21173900]$	\(y^2=x^3-x^2-152896x-21173900\)	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0.v.1, 280.24.0.?, $\ldots$	$[(-2279/3, 30086/3)]$
305760.er2	305760er2	305760.er	305760er	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{9} \cdot 3^{4} \cdot 5 \cdot 7^{8} \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$10920$	$48$	$0$	$1$	$1$		$1$	$2752512$	$1.913347$	$6562309703048/566793045$	$0.89381$	$3.75487$	$[0, 1, 0, -152896, 21173900]$	\(y^2=x^3+x^2-152896x+21173900\)	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 40.12.0.v.1, 280.24.0.?, $\ldots$	$[ ]$
436800.hw1	436800hw4	436800.hw	436800hw	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{15} \cdot 3^{4} \cdot 5^{7} \cdot 7^{2} \cdot 13^{4} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$1560$	$48$	$0$	$2.199180503$	$1$		$19$	$5505024$	$2.091686$	$6562309703048/566793045$	$0.89381$	$3.81653$	$[0, -1, 0, -312033, -61776063]$	\(y^2=x^3-x^2-312033x-61776063\)	2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.v.1.1, 312.24.0.?, 1560.48.0.?	$[(-328, 2275), (647, 2600)]$
436800.mq1	436800mq3	436800.mq	436800mq	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{15} \cdot 3^{4} \cdot 5^{7} \cdot 7^{2} \cdot 13^{4} \)	$2$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$1560$	$48$	$0$	$2.029471028$	$1$		$31$	$5505024$	$2.091686$	$6562309703048/566793045$	$0.89381$	$3.81653$	$[0, 1, 0, -312033, 61776063]$	\(y^2=x^3+x^2-312033x+61776063\)	2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.v.1.3, 312.24.0.?, 1560.48.0.?	$[(237, 1092), (419, 2184)]$

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