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.ba4	43680i2	43680.ba	43680i	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{9} \cdot 3^{2} \cdot 5^{4} \cdot 7^{4} \cdot 13 \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$3640$	$48$	$0$	$1$	$1$		$3$	$40960$	$0.787527$	$127871714872/175573125$	$0.88099$	$3.00706$	$[0, -1, 0, 840, 10692]$	\(y^2=x^3-x^2+840x+10692\)	2.3.0.a.1, 4.12.0-4.c.1.1, 104.24.0.?, 280.24.0.?, 3640.48.0.?	$[ ]$
43680.ce4	43680cd2	43680.ce	43680cd	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{9} \cdot 3^{2} \cdot 5^{4} \cdot 7^{4} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$3640$	$48$	$0$	$3.319571211$	$1$		$3$	$40960$	$0.787527$	$127871714872/175573125$	$0.88099$	$3.00706$	$[0, 1, 0, 840, -10692]$	\(y^2=x^3+x^2+840x-10692\)	2.3.0.a.1, 4.12.0-4.c.1.2, 104.24.0.?, 280.24.0.?, 3640.48.0.?	$[(27, 180)]$
87360.l4	87360a3	87360.l	87360a	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{15} \cdot 3^{2} \cdot 5^{4} \cdot 7^{4} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$3640$	$48$	$0$	$2.888306687$	$1$		$5$	$163840$	$1.134100$	$127871714872/175573125$	$0.88099$	$3.18939$	$[0, -1, 0, 3359, -88895]$	\(y^2=x^3-x^2+3359x-88895\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 52.12.0-4.c.1.2, 104.24.0.?, $\ldots$	$[(48, 425)]$
87360.ex4	87360cf3	87360.ex	87360cf	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{15} \cdot 3^{2} \cdot 5^{4} \cdot 7^{4} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$3640$	$48$	$0$	$1.962564105$	$1$		$5$	$163840$	$1.134100$	$127871714872/175573125$	$0.88099$	$3.18939$	$[0, 1, 0, 3359, 88895]$	\(y^2=x^3+x^2+3359x+88895\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 52.12.0-4.c.1.1, 104.24.0.?, $\ldots$	$[(26, 441)]$
131040.p4	131040dk3	131040.p	131040dk	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{9} \cdot 3^{8} \cdot 5^{4} \cdot 7^{4} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$10920$	$48$	$0$	$3.628649359$	$1$		$3$	$327680$	$1.336834$	$127871714872/175573125$	$0.88099$	$3.28610$	$[0, 0, 0, 7557, 296242]$	\(y^2=x^3+7557x+296242\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 104.12.0.?, 280.12.0.?, $\ldots$	$[(2, 558)]$
131040.by4	131040t3	131040.by	131040t	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{9} \cdot 3^{8} \cdot 5^{4} \cdot 7^{4} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$10920$	$48$	$0$	$1.170446873$	$1$		$7$	$327680$	$1.336834$	$127871714872/175573125$	$0.88099$	$3.28610$	$[0, 0, 0, 7557, -296242]$	\(y^2=x^3+7557x-296242\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 104.12.0.?, 280.12.0.?, $\ldots$	$[(181, 2646)]$
218400.by4	218400fb3	218400.by	218400fb	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{9} \cdot 3^{2} \cdot 5^{10} \cdot 7^{4} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3640$	$48$	$0$	$1$	$1$		$1$	$983040$	$1.592247$	$127871714872/175573125$	$0.88099$	$3.39887$	$[0, -1, 0, 20992, -1378488]$	\(y^2=x^3-x^2+20992x-1378488\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 56.12.0-4.c.1.5, 104.12.0.?, $\ldots$	$[ ]$
218400.dk4	218400w3	218400.dk	218400w	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{9} \cdot 3^{2} \cdot 5^{10} \cdot 7^{4} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3640$	$48$	$0$	$3.083378799$	$1$		$3$	$983040$	$1.592247$	$127871714872/175573125$	$0.88099$	$3.39887$	$[0, 1, 0, 20992, 1378488]$	\(y^2=x^3+x^2+20992x+1378488\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 56.12.0-4.c.1.5, 104.12.0.?, $\ldots$	$[(139, 2646)]$
262080.iq4	262080iq4	262080.iq	262080iq	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{15} \cdot 3^{8} \cdot 5^{4} \cdot 7^{4} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$10920$	$48$	$0$	$0.956177013$	$1$		$7$	$1310720$	$1.683407$	$127871714872/175573125$	$0.88099$	$3.43688$	$[0, 0, 0, 30228, 2369936]$	\(y^2=x^3+30228x+2369936\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 104.12.0.?, 156.12.0.?, $\ldots$	$[(-38, 1080)]$
262080.lo4	262080lo3	262080.lo	262080lo	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{15} \cdot 3^{8} \cdot 5^{4} \cdot 7^{4} \cdot 13 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$10920$	$48$	$0$	$1.086434111$	$1$		$29$	$1310720$	$1.683407$	$127871714872/175573125$	$0.88099$	$3.43688$	$[0, 0, 0, 30228, -2369936]$	\(y^2=x^3+30228x-2369936\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 104.12.0.?, 156.12.0.?, $\ldots$	$[(110, 1512), (173, 2835)]$
305760.u4	305760u3	305760.u	305760u	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{9} \cdot 3^{2} \cdot 5^{4} \cdot 7^{10} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3640$	$48$	$0$	$3.985702437$	$1$		$3$	$1966080$	$1.760483$	$127871714872/175573125$	$0.88099$	$3.46816$	$[0, -1, 0, 41144, 3749656]$	\(y^2=x^3-x^2+41144x+3749656\)	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 40.12.0-4.c.1.5, 104.12.0.?, $\ldots$	$[(21, 2150)]$
305760.eu4	305760eu3	305760.eu	305760eu	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{9} \cdot 3^{2} \cdot 5^{4} \cdot 7^{10} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3640$	$48$	$0$	$5.151873291$	$1$		$1$	$1966080$	$1.760483$	$127871714872/175573125$	$0.88099$	$3.46816$	$[0, 1, 0, 41144, -3749656]$	\(y^2=x^3+x^2+41144x-3749656\)	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0-4.c.1.5, 104.12.0.?, $\ldots$	$[(941/2, 34875/2)]$
436800.cz4	436800cz4	436800.cz	436800cz	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{15} \cdot 3^{2} \cdot 5^{10} \cdot 7^{4} \cdot 13 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3640$	$48$	$0$	$3.544483872$	$1$		$15$	$3932160$	$1.938820$	$127871714872/175573125$	$0.88099$	$3.53769$	$[0, -1, 0, 83967, 10943937]$	\(y^2=x^3-x^2+83967x+10943937\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.2, 56.12.0-4.c.1.4, 104.12.0.?, $\ldots$	$[(377, 9800), (-23, 3000)]$
436800.rz4	436800rz3	436800.rz	436800rz	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{15} \cdot 3^{2} \cdot 5^{10} \cdot 7^{4} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3640$	$48$	$0$	$1$	$1$		$1$	$3932160$	$1.938820$	$127871714872/175573125$	$0.88099$	$3.53769$	$[0, 1, 0, 83967, -10943937]$	\(y^2=x^3+x^2+83967x-10943937\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.1, 56.12.0-4.c.1.4, 104.12.0.?, $\ldots$	$[ ]$

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