Elliptic curve search results

Results (12 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
10230.bf2	10230bg4	10230.bf	10230bg	$4$	$10$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 31 \)	\( - 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{5} \cdot 31^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 5$	2.3.0.1, 5.24.0.3	2B, 5B.1.2	$20460$	$288$	$5$	$1$	$1$		$0$	$1760000$	$3.111149$	$-18508902577171306222471921/118801759721890483665900$	$1.02900$	$6.57124$	$1$	$[1, 0, 0, -5510855, -17315148075]$	\(y^2+xy=x^3-5510855x-17315148075\)	2.3.0.a.1, 5.24.0-5.a.2.2, 10.72.0-10.a.1.2, 22.6.0.a.1, 110.144.1.?, $\ldots$	$[ ]$	$1$
30690.c2	30690f4	30690.c	30690f	$4$	$10$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 31 \)	\( - 2^{2} \cdot 3^{8} \cdot 5^{2} \cdot 11^{5} \cdot 31^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.12.0.2	2B, 5B.4.2	$20460$	$288$	$5$	$1.100414433$	$1$		$6$	$14080000$	$3.660454$	$-18508902577171306222471921/118801759721890483665900$	$1.02900$	$6.51050$	$1$	$[1, -1, 0, -49597695, 467508998025]$	\(y^2+xy=x^3-x^2-49597695x+467508998025\)	2.3.0.a.1, 5.12.0.a.2, 10.36.0.a.1, 15.24.0-5.a.2.1, 22.6.0.a.1, $\ldots$	$[(960, 648195)]$	$1$
51150.n2	51150k4	51150.n	51150k	$4$	$10$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 31 \)	\( - 2^{2} \cdot 3^{2} \cdot 5^{8} \cdot 11^{5} \cdot 31^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.24.0.4	2B, 5B.1.3	$20460$	$288$	$5$	$1.014491059$	$1$		$4$	$42240000$	$3.915867$	$-18508902577171306222471921/118801759721890483665900$	$1.02900$	$6.48645$	$1$	$[1, 1, 0, -137771375, -2164393509375]$	\(y^2+xy=x^3+x^2-137771375x-2164393509375\)	2.3.0.a.1, 5.24.0-5.a.2.1, 10.72.0-10.a.1.1, 22.6.0.a.1, 110.144.1.?, $\ldots$	$[(75280, 20311535)]$	$1$
81840.bl2	81840bz4	81840.bl	81840bz	$4$	$10$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 31 \)	\( - 2^{14} \cdot 3^{2} \cdot 5^{2} \cdot 11^{5} \cdot 31^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.12.0.2	2B, 5B.4.2	$20460$	$288$	$5$	$16.26443831$	$1$		$1$	$42240000$	$3.804295$	$-18508902577171306222471921/118801759721890483665900$	$1.02900$	$6.09860$	$1$	$[0, -1, 0, -88173680, 1108169476800]$	\(y^2=x^3-x^2-88173680x+1108169476800\)	2.3.0.a.1, 5.12.0.a.2, 10.36.0.a.1, 20.72.0-10.a.1.10, 22.6.0.a.1, $\ldots$	$[(-74620360/119, 2012654916000/119)]$	$1$
112530.bg2	112530bf4	112530.bg	112530bf	$4$	$10$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 31 \)	\( - 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{11} \cdot 31^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.12.0.2	2B, 5B.4.2	$20460$	$288$	$5$	$7.479488924$	$1$		$2$	$211200000$	$4.310097$	$-18508902577171306222471921/118801759721890483665900$	$1.02900$	$6.45347$	$1$	$[1, 0, 1, -666813458, 23045795274368]$	\(y^2+xy+y=x^3-666813458x+23045795274368\)	2.3.0.a.1, 5.12.0.a.2, 10.72.0-10.a.1.3, 22.6.0.a.1, 55.24.0-5.a.2.1, $\ldots$	$[(43889, 8827995)]$	$1$
153450.ds2	153450bk4	153450.ds	153450bk	$4$	$10$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 31 \)	\( - 2^{2} \cdot 3^{8} \cdot 5^{8} \cdot 11^{5} \cdot 31^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.12.0.2	2B, 5B.4.2	$20460$	$288$	$5$	$1$	$4$	$2$	$0$	$337920000$	$4.465172$	$-18508902577171306222471921/118801759721890483665900$	$1.02900$	$6.44169$	$1$	$[1, -1, 1, -1239942380, 58437384810747]$	\(y^2+xy+y=x^3-x^2-1239942380x+58437384810747\)	2.3.0.a.1, 5.12.0.a.2, 10.36.0.a.1, 15.24.0-5.a.2.2, 22.6.0.a.1, $\ldots$	$[ ]$	$1$
245520.cb2	245520cb4	245520.cb	245520cb	$4$	$10$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 31 \)	\( - 2^{14} \cdot 3^{8} \cdot 5^{2} \cdot 11^{5} \cdot 31^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.12.0.2	2B, 5B.4.2	$20460$	$288$	$5$	$1$	$1$		$1$	$337920000$	$4.353600$	$-18508902577171306222471921/118801759721890483665900$	$1.02900$	$6.08987$	$1$	$[0, 0, 0, -793563123, -29919782310478]$	\(y^2=x^3-793563123x-29919782310478\)	2.3.0.a.1, 5.12.0.a.2, 10.36.0.a.1, 22.6.0.a.1, 60.72.0-10.a.1.1, $\ldots$	$[ ]$	$1$
317130.cb2	317130cb4	317130.cb	317130cb	$4$	$10$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 31^{2} \)	\( - 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{5} \cdot 31^{16} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.12.0.2	2B, 5B.4.2	$20460$	$288$	$5$	$1$	$25$	$5$	$0$	$1689600000$	$4.828140$	$-18508902577171306222471921/118801759721890483665900$	$1.02900$	$6.41638$	$1$	$[1, 1, 1, -5295931675, 515819688507317]$	\(y^2+xy+y=x^3+x^2-5295931675x+515819688507317\)	2.3.0.a.1, 5.12.0.a.2, 10.36.0.a.1, 22.6.0.a.1, 60.72.0-10.a.1.7, $\ldots$	$[ ]$	$1$
327360.r2	327360r4	327360.r	327360r	$4$	$10$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 31 \)	\( - 2^{20} \cdot 3^{2} \cdot 5^{2} \cdot 11^{5} \cdot 31^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.12.0.2	2B, 5B.4.2	$40920$	$288$	$5$	$1$	$9$	$3$	$1$	$337920000$	$4.150871$	$-18508902577171306222471921/118801759721890483665900$	$1.02900$	$5.76034$	$1$	$[0, -1, 0, -352694721, -8865003119679]$	\(y^2=x^3-x^2-352694721x-8865003119679\)	2.3.0.a.1, 5.12.0.a.2, 10.36.0.a.1, 22.6.0.a.1, 40.72.0-10.a.1.4, $\ldots$	$[ ]$	$1$
327360.hb2	327360hb4	327360.hb	327360hb	$4$	$10$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 31 \)	\( - 2^{20} \cdot 3^{2} \cdot 5^{2} \cdot 11^{5} \cdot 31^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.12.0.2	2B, 5B.4.2	$40920$	$288$	$5$	$1$	$9$	$3$	$1$	$337920000$	$4.150871$	$-18508902577171306222471921/118801759721890483665900$	$1.02900$	$5.76034$	$1$	$[0, 1, 0, -352694721, 8865003119679]$	\(y^2=x^3+x^2-352694721x+8865003119679\)	2.3.0.a.1, 5.12.0.a.2, 10.36.0.a.1, 22.6.0.a.1, 40.72.0-10.a.1.9, $\ldots$	$[ ]$	$1$
337590.dp2	337590dp4	337590.dp	337590dp	$4$	$10$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 31 \)	\( - 2^{2} \cdot 3^{8} \cdot 5^{2} \cdot 11^{11} \cdot 31^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.12.0.2	2B, 5B.4.2	$20460$	$288$	$5$	$12.85861061$	$1$		$0$	$1689600000$	$4.859398$	$-18508902577171306222471921/118801759721890483665900$	$1.02900$	$6.41433$	$1$	$[1, -1, 1, -6001321118, -622236472407943]$	\(y^2+xy+y=x^3-x^2-6001321118x-622236472407943\)	2.3.0.a.1, 5.12.0.a.2, 10.36.0.a.1, 22.6.0.a.1, 30.72.0-10.a.1.1, $\ldots$	$[(370137771/34, 6833285633821/34)]$	$1$
409200.eu2	409200eu4	409200.eu	409200eu	$4$	$10$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 31 \)	\( - 2^{14} \cdot 3^{2} \cdot 5^{8} \cdot 11^{5} \cdot 31^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.12.0.2	2B, 5B.4.2	$20460$	$288$	$5$	$29.64282601$	$1$		$1$	$1013760000$	$4.609016$	$-18508902577171306222471921/118801759721890483665900$	$1.02900$	$6.08632$	$1$	$[0, 1, 0, -2204342008, 138516775915988]$	\(y^2=x^3+x^2-2204342008x+138516775915988\)	2.3.0.a.1, 5.12.0.a.2, 10.36.0.a.1, 20.72.0-10.a.1.7, 22.6.0.a.1, $\ldots$	$[(202032607531862/102037, 10784388967870325094000/102037)]$	$1$

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