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
4580.a1	4580a1	4580.a	4580a	$2$	$2$	\( 2^{2} \cdot 5 \cdot 229 \)	\( 2^{4} \cdot 5^{5} \cdot 229^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4580$	$12$	$0$	$1.466707812$	$1$		$3$	$3480$	$0.588550$	$6217784098816/163878125$	$0.94897$	$3.82362$	$1$	$[0, 1, 0, -965, -11600]$	\(y^2=x^3+x^2-965x-11600\)	2.3.0.a.1, 10.6.0.a.1, 916.6.0.?, 4580.12.0.?	$[(-20, 10)]$	$1$
18320.g1	18320g1	18320.g	18320g	$2$	$2$	\( 2^{4} \cdot 5 \cdot 229 \)	\( 2^{4} \cdot 5^{5} \cdot 229^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4580$	$12$	$0$	$1.847429363$	$1$		$3$	$13920$	$0.588550$	$6217784098816/163878125$	$0.94897$	$3.28360$	$1$	$[0, -1, 0, -965, 11600]$	\(y^2=x^3-x^2-965x+11600\)	2.3.0.a.1, 10.6.0.a.1, 916.6.0.?, 4580.12.0.?	$[(-20, 150)]$	$1$
22900.g1	22900b1	22900.g	22900b	$2$	$2$	\( 2^{2} \cdot 5^{2} \cdot 229 \)	\( 2^{4} \cdot 5^{11} \cdot 229^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4580$	$12$	$0$	$1$	$1$		$1$	$83520$	$1.393269$	$6217784098816/163878125$	$0.94897$	$4.17254$	$1$	$[0, -1, 0, -24133, -1401738]$	\(y^2=x^3-x^2-24133x-1401738\)	2.3.0.a.1, 10.6.0.a.1, 916.6.0.?, 4580.12.0.?	$[ ]$	$1$
41220.e1	41220f1	41220.e	41220f	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 229 \)	\( 2^{4} \cdot 3^{6} \cdot 5^{5} \cdot 229^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4580$	$12$	$0$	$2.451704059$	$1$		$5$	$83520$	$1.137856$	$6217784098816/163878125$	$0.94897$	$3.65332$	$1$	$[0, 0, 0, -8688, 304513]$	\(y^2=x^3-8688x+304513\)	2.3.0.a.1, 10.6.0.a.1, 916.6.0.?, 4580.12.0.?	$[(38, 171)]$	$1$
73280.c1	73280m1	73280.c	73280m	$2$	$2$	\( 2^{6} \cdot 5 \cdot 229 \)	\( 2^{10} \cdot 5^{5} \cdot 229^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4580$	$12$	$0$	$3.684387603$	$1$		$3$	$111360$	$0.935122$	$6217784098816/163878125$	$0.94897$	$3.24851$	$1$	$[0, 1, 0, -3861, 88939]$	\(y^2=x^3+x^2-3861x+88939\)	2.3.0.a.1, 10.6.0.a.1, 916.6.0.?, 4580.12.0.?	$[(22, 123)]$	$1$
73280.n1	73280c1	73280.n	73280c	$2$	$2$	\( 2^{6} \cdot 5 \cdot 229 \)	\( 2^{10} \cdot 5^{5} \cdot 229^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4580$	$12$	$0$	$1$	$9$	$3$	$1$	$111360$	$0.935122$	$6217784098816/163878125$	$0.94897$	$3.24851$	$1$	$[0, -1, 0, -3861, -88939]$	\(y^2=x^3-x^2-3861x-88939\)	2.3.0.a.1, 10.6.0.a.1, 916.6.0.?, 4580.12.0.?	$[ ]$	$1$
91600.g1	91600r1	91600.g	91600r	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 229 \)	\( 2^{4} \cdot 5^{11} \cdot 229^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4580$	$12$	$0$	$1$	$1$		$1$	$334080$	$1.393269$	$6217784098816/163878125$	$0.94897$	$3.66626$	$1$	$[0, 1, 0, -24133, 1401738]$	\(y^2=x^3+x^2-24133x+1401738\)	2.3.0.a.1, 10.6.0.a.1, 916.6.0.?, 4580.12.0.?	$[ ]$	$1$
164880.a1	164880n1	164880.a	164880n	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 229 \)	\( 2^{4} \cdot 3^{6} \cdot 5^{5} \cdot 229^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4580$	$12$	$0$	$5.940337088$	$1$		$1$	$334080$	$1.137856$	$6217784098816/163878125$	$0.94897$	$3.23173$	$1$	$[0, 0, 0, -8688, -304513]$	\(y^2=x^3-8688x-304513\)	2.3.0.a.1, 10.6.0.a.1, 916.6.0.?, 4580.12.0.?	$[(5537/2, 411055/2)]$	$1$
206100.a1	206100c1	206100.a	206100c	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 229 \)	\( 2^{4} \cdot 3^{6} \cdot 5^{11} \cdot 229^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4580$	$12$	$0$	$9.577504630$	$1$		$1$	$2004480$	$1.942574$	$6217784098816/163878125$	$0.94897$	$3.96199$	$1$	$[0, 0, 0, -217200, 38064125]$	\(y^2=x^3-217200x+38064125\)	2.3.0.a.1, 10.6.0.a.1, 916.6.0.?, 4580.12.0.?	$[(35359/13, 2930598/13)]$	$1$
224420.j1	224420j1	224420.j	224420j	$2$	$2$	\( 2^{2} \cdot 5 \cdot 7^{2} \cdot 229 \)	\( 2^{4} \cdot 5^{5} \cdot 7^{6} \cdot 229^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4580$	$12$	$0$	$1$	$1$		$1$	$1002240$	$1.561504$	$6217784098816/163878125$	$0.94897$	$3.56347$	$1$	$[0, -1, 0, -47301, 3884210]$	\(y^2=x^3-x^2-47301x+3884210\)	2.3.0.a.1, 10.6.0.a.1, 916.6.0.?, 4580.12.0.?	$[ ]$	$1$
366400.h1	366400h1	366400.h	366400h	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 229 \)	\( 2^{10} \cdot 5^{11} \cdot 229^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4580$	$12$	$0$	$1$	$1$		$1$	$2672640$	$1.739841$	$6217784098816/163878125$	$0.94897$	$3.59416$	$1$	$[0, 1, 0, -96533, -11310437]$	\(y^2=x^3+x^2-96533x-11310437\)	2.3.0.a.1, 10.6.0.a.1, 916.6.0.?, 4580.12.0.?	$[ ]$	$1$
366400.cf1	366400cf1	366400.cf	366400cf	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 229 \)	\( 2^{10} \cdot 5^{11} \cdot 229^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4580$	$12$	$0$	$13.87623946$	$1$		$1$	$2672640$	$1.739841$	$6217784098816/163878125$	$0.94897$	$3.59416$	$1$	$[0, -1, 0, -96533, 11310437]$	\(y^2=x^3-x^2-96533x+11310437\)	2.3.0.a.1, 10.6.0.a.1, 916.6.0.?, 4580.12.0.?	$[(-3393668/101, 2625689175/101)]$	$1$

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