Elliptic curve search results

Results (10 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	Manin constant
22990.k1	22990n1	22990.k	22990n	$1$	$1$	\( 2 \cdot 5 \cdot 11^{2} \cdot 19 \)	\( - 2^{10} \cdot 5^{7} \cdot 11^{8} \cdot 19^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20$	$2$	$0$	$1.625391806$	$1$		$4$	$591360$	$2.305775$	$-40891312173481/28880000000$	$0.93263$	$5.11040$	$[1, 1, 0, -429552, -161648384]$	\(y^2+xy=x^3+x^2-429552x-161648384\)	20.2.0.a.1	$[(832, 7184)]$	$1$
22990.ba1	22990bk1	22990.ba	22990bk	$1$	$1$	\( 2 \cdot 5 \cdot 11^{2} \cdot 19 \)	\( - 2^{10} \cdot 5^{7} \cdot 11^{2} \cdot 19^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20$	$2$	$0$	$0.050560719$	$1$		$14$	$53760$	$1.106827$	$-40891312173481/28880000000$	$0.93263$	$3.67780$	$[1, 1, 1, -3550, 119835]$	\(y^2+xy+y=x^3+x^2-3550x+119835\)	20.2.0.a.1	$[(-7, 383)]$	$1$
114950.bj1	114950bb1	114950.bj	114950bb	$1$	$1$	\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 19 \)	\( - 2^{10} \cdot 5^{13} \cdot 11^{2} \cdot 19^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20$	$2$	$0$	$1.566782124$	$1$		$2$	$1290240$	$1.911547$	$-40891312173481/28880000000$	$0.93263$	$3.99854$	$[1, 0, 1, -88751, 15156898]$	\(y^2+xy+y=x^3-88751x+15156898\)	20.2.0.a.1	$[(2167, 98916)]$	$1$
114950.cv1	114950cg1	114950.cv	114950cg	$1$	$1$	\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 19 \)	\( - 2^{10} \cdot 5^{13} \cdot 11^{8} \cdot 19^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20$	$2$	$0$	$2.655159730$	$1$		$2$	$14192640$	$3.110493$	$-40891312173481/28880000000$	$0.93263$	$5.23327$	$[1, 0, 0, -10738813, -20184570383]$	\(y^2+xy=x^3-10738813x-20184570383\)	20.2.0.a.1	$[(13662, 1536919)]$	$1$
183920.bx1	183920bb1	183920.bx	183920bb	$1$	$1$	\( 2^{4} \cdot 5 \cdot 11^{2} \cdot 19 \)	\( - 2^{22} \cdot 5^{7} \cdot 11^{8} \cdot 19^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20$	$2$	$0$	$0.742331662$	$1$		$4$	$14192640$	$2.998924$	$-40891312173481/28880000000$	$0.93263$	$4.91992$	$[0, 1, 0, -6872840, 10331750900]$	\(y^2=x^3+x^2-6872840x+10331750900\)	20.2.0.a.1	$[(-2380, 114950)]$	$1$
183920.cf1	183920bj1	183920.cf	183920bj	$1$	$1$	\( 2^{4} \cdot 5 \cdot 11^{2} \cdot 19 \)	\( - 2^{22} \cdot 5^{7} \cdot 11^{2} \cdot 19^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20$	$2$	$0$	$1$	$1$		$0$	$1290240$	$1.799974$	$-40891312173481/28880000000$	$0.93263$	$3.73307$	$[0, 1, 0, -56800, -7783052]$	\(y^2=x^3+x^2-56800x-7783052\)	20.2.0.a.1	$[ ]$	$1$
206910.a1	206910dt1	206910.a	206910dt	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 19 \)	\( - 2^{10} \cdot 3^{6} \cdot 5^{7} \cdot 11^{2} \cdot 19^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20$	$2$	$0$	$1$	$1$		$0$	$1612800$	$1.656134$	$-40891312173481/28880000000$	$0.93263$	$3.55612$	$[1, -1, 0, -31950, -3267500]$	\(y^2+xy=x^3-x^2-31950x-3267500\)	20.2.0.a.1	$[ ]$	$1$
206910.dx1	206910ca1	206910.dx	206910ca	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 19 \)	\( - 2^{10} \cdot 3^{6} \cdot 5^{7} \cdot 11^{8} \cdot 19^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20$	$2$	$0$	$1$	$1$		$0$	$17740800$	$2.855080$	$-40891312173481/28880000000$	$0.93263$	$4.73156$	$[1, -1, 1, -3865973, 4360640397]$	\(y^2+xy+y=x^3-x^2-3865973x+4360640397\)	20.2.0.a.1	$[ ]$	$1$
436810.x1	436810x1	436810.x	436810x	$1$	$1$	\( 2 \cdot 5 \cdot 11^{2} \cdot 19^{2} \)	\( - 2^{10} \cdot 5^{7} \cdot 11^{2} \cdot 19^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20$	$2$	$0$	$1$	$1$		$0$	$19353600$	$2.579048$	$-40891312173481/28880000000$	$0.93263$	$4.20428$	$[1, 0, 1, -1281558, -832201944]$	\(y^2+xy+y=x^3-1281558x-832201944\)	20.2.0.a.1	$[ ]$	$1$
436810.cn1	436810cn1	436810.cn	436810cn	$1$	$1$	\( 2 \cdot 5 \cdot 11^{2} \cdot 19^{2} \)	\( - 2^{10} \cdot 5^{7} \cdot 11^{8} \cdot 19^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20$	$2$	$0$	$2.932640600$	$1$		$2$	$212889600$	$3.777996$	$-40891312173481/28880000000$	$0.93263$	$5.31209$	$[1, 0, 0, -155068460, 1107505718672]$	\(y^2+xy=x^3-155068460x+1107505718672\)	20.2.0.a.1	$[(10784, 824908)]$	$1$

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