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
54600.e1	54600bu2	54600.e	54600bu	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{11} \cdot 3^{2} \cdot 5^{9} \cdot 7^{14} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$9$	$3$	$1$	$9031680$	$3.384689$	$30222460127634675514/79352099523333$	$1.00581$	$6.13916$	$[0, -1, 0, -103012208, -401473209588]$	\(y^2=x^3-x^2-103012208x-401473209588\)	2.3.0.a.1, 420.6.0.?, 520.6.0.?, 2184.6.0.?, 10920.12.0.?	$[ ]$
54600.cd1	54600bh2	54600.cd	54600bh	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{11} \cdot 3^{2} \cdot 5^{3} \cdot 7^{14} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$1$		$1$	$1806336$	$2.579971$	$30222460127634675514/79352099523333$	$1.00581$	$5.25386$	$[0, 1, 0, -4120488, -3213433872]$	\(y^2=x^3+x^2-4120488x-3213433872\)	2.3.0.a.1, 420.6.0.?, 520.6.0.?, 2184.6.0.?, 10920.12.0.?	$[ ]$
109200.bk1	109200ba2	109200.bk	109200ba	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{11} \cdot 3^{2} \cdot 5^{3} \cdot 7^{14} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$1$		$1$	$3612672$	$2.579971$	$30222460127634675514/79352099523333$	$1.00581$	$4.93995$	$[0, -1, 0, -4120488, 3213433872]$	\(y^2=x^3-x^2-4120488x+3213433872\)	2.3.0.a.1, 420.6.0.?, 520.6.0.?, 2184.6.0.?, 10920.12.0.?	$[ ]$
109200.hd1	109200cp2	109200.hd	109200cp	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{11} \cdot 3^{2} \cdot 5^{9} \cdot 7^{14} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$3.772745073$	$1$		$3$	$18063360$	$3.384689$	$30222460127634675514/79352099523333$	$1.00581$	$5.77235$	$[0, 1, 0, -103012208, 401473209588]$	\(y^2=x^3+x^2-103012208x+401473209588\)	2.3.0.a.1, 420.6.0.?, 520.6.0.?, 2184.6.0.?, 10920.12.0.?	$[(11908, 929250)]$
163800.cl1	163800de2	163800.cl	163800de	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{11} \cdot 3^{8} \cdot 5^{9} \cdot 7^{14} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$16$	$2$	$1$	$72253440$	$3.933994$	$30222460127634675514/79352099523333$	$1.00581$	$6.12643$	$[0, 0, 0, -927109875, 10840703768750]$	\(y^2=x^3-927109875x+10840703768750\)	2.3.0.a.1, 420.6.0.?, 520.6.0.?, 2184.6.0.?, 10920.12.0.?	$[ ]$
163800.et1	163800j2	163800.et	163800j	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{11} \cdot 3^{8} \cdot 5^{3} \cdot 7^{14} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$2.383116153$	$1$		$3$	$14450688$	$3.129276$	$30222460127634675514/79352099523333$	$1.00581$	$5.32214$	$[0, 0, 0, -37084395, 86725630150]$	\(y^2=x^3-37084395x+86725630150\)	2.3.0.a.1, 420.6.0.?, 520.6.0.?, 2184.6.0.?, 10920.12.0.?	$[(2574, 91238)]$
327600.y1	327600y2	327600.y	327600y	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{11} \cdot 3^{8} \cdot 5^{3} \cdot 7^{14} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$12.83784670$	$1$		$1$	$28901376$	$3.129276$	$30222460127634675514/79352099523333$	$1.00581$	$5.03165$	$[0, 0, 0, -37084395, -86725630150]$	\(y^2=x^3-37084395x-86725630150\)	2.3.0.a.1, 420.6.0.?, 520.6.0.?, 2184.6.0.?, 10920.12.0.?	$[(2640871/19, 1254941154/19)]$
327600.ic1	327600ic2	327600.ic	327600ic	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{11} \cdot 3^{8} \cdot 5^{9} \cdot 7^{14} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$2.856273814$	$1$		$3$	$144506880$	$3.933994$	$30222460127634675514/79352099523333$	$1.00581$	$5.79204$	$[0, 0, 0, -927109875, -10840703768750]$	\(y^2=x^3-927109875x-10840703768750\)	2.3.0.a.1, 420.6.0.?, 520.6.0.?, 2184.6.0.?, 10920.12.0.?	$[(-18211, 58212)]$
382200.t1	382200t2	382200.t	382200t	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{11} \cdot 3^{2} \cdot 5^{3} \cdot 7^{20} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$4$	$2$	$1$	$86704128$	$3.552925$	$30222460127634675514/79352099523333$	$1.00581$	$5.36682$	$[0, -1, 0, -201903928, 1101804010252]$	\(y^2=x^3-x^2-201903928x+1101804010252\)	2.3.0.a.1, 420.6.0.?, 520.6.0.?, 2184.6.0.?, 10920.12.0.?	$[ ]$
382200.fj1	382200fj2	382200.fj	382200fj	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{11} \cdot 3^{2} \cdot 5^{9} \cdot 7^{20} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$65.07078500$	$1$		$1$	$433520640$	$4.357643$	$30222460127634675514/79352099523333$	$1.00581$	$6.11809$	$[0, 1, 0, -5047598208, 137715406085088]$	\(y^2=x^3+x^2-5047598208x+137715406085088\)	2.3.0.a.1, 420.6.0.?, 520.6.0.?, 2184.6.0.?, 10920.12.0.?	$[(-10045386617275466945487189317/412464722547, 1063966086321646632792118933016214102628666/412464722547)]$
436800.gc1	436800gc2	436800.gc	436800gc	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{17} \cdot 3^{2} \cdot 5^{9} \cdot 7^{14} \cdot 13 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$3.672744270$	$1$		$17$	$144506880$	$3.731262$	$30222460127634675514/79352099523333$	$1.00581$	$5.47642$	$[0, -1, 0, -412048833, 3212197725537]$	\(y^2=x^3-x^2-412048833x+3212197725537\)	2.3.0.a.1, 420.6.0.?, 520.6.0.?, 2184.6.0.?, 10920.12.0.?	$[(10181, 268912), (9691, 359268)]$
436800.ju1	436800ju2	436800.ju	436800ju	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{17} \cdot 3^{2} \cdot 5^{3} \cdot 7^{14} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$1$		$1$	$28901376$	$2.926544$	$30222460127634675514/79352099523333$	$1.00581$	$4.73287$	$[0, -1, 0, -16481953, -25690989023]$	\(y^2=x^3-x^2-16481953x-25690989023\)	2.3.0.a.1, 420.6.0.?, 520.6.0.?, 2184.6.0.?, 10920.12.0.?	$[ ]$
436800.lh1	436800lh2	436800.lh	436800lh	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{17} \cdot 3^{2} \cdot 5^{3} \cdot 7^{14} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$15.00870458$	$1$		$1$	$28901376$	$2.926544$	$30222460127634675514/79352099523333$	$1.00581$	$4.73287$	$[0, 1, 0, -16481953, 25690989023]$	\(y^2=x^3+x^2-16481953x+25690989023\)	2.3.0.a.1, 420.6.0.?, 520.6.0.?, 2184.6.0.?, 10920.12.0.?	$[(5642842/51, 1621247707/51)]$
436800.od1	436800od2	436800.od	436800od	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{17} \cdot 3^{2} \cdot 5^{9} \cdot 7^{14} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$38.10901356$	$1$		$1$	$144506880$	$3.731262$	$30222460127634675514/79352099523333$	$1.00581$	$5.47642$	$[0, 1, 0, -412048833, -3212197725537]$	\(y^2=x^3+x^2-412048833x-3212197725537\)	2.3.0.a.1, 420.6.0.?, 520.6.0.?, 2184.6.0.?, 10920.12.0.?	$[(-9276023906156732277/28678609, 548680691519252267800050000/28678609)]$

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