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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
45080.o1	45080s1	45080.o	45080s	$1$	$1$	\( 2^{3} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{8} \cdot 5^{11} \cdot 7^{10} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$14.72940997$	$1$		$0$	$901824$	$2.503136$	$-140654416896/1123046875$	$0.98911$	$4.98015$	$1$	$[0, 0, 0, -451388, 449015812]$	\(y^2=x^3-451388x+449015812\)	230.2.0.?	$[(1681824/65, 5006992418/65)]$	$1$
45080.q1	45080bc1	45080.q	45080bc	$1$	$1$	\( 2^{3} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{8} \cdot 5^{11} \cdot 7^{4} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$0.979203854$	$1$		$4$	$128832$	$1.530180$	$-140654416896/1123046875$	$0.98911$	$3.89064$	$1$	$[0, 0, 0, -9212, -1309084]$	\(y^2=x^3-9212x-1309084\)	230.2.0.?	$[(352, 6250)]$	$1$
90160.bs1	90160q1	90160.bs	90160q	$1$	$1$	\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{8} \cdot 5^{11} \cdot 7^{10} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$88.95562802$	$1$		$0$	$1803648$	$2.503136$	$-140654416896/1123046875$	$0.98911$	$4.67760$	$1$	$[0, 0, 0, -451388, -449015812]$	\(y^2=x^3-451388x-449015812\)	230.2.0.?	$[(418833335326960684712829828542891262433/142718358555235931, 8566801325632958456607301458863799832287329390423316479809/142718358555235931)]$	$1$
90160.cf1	90160z1	90160.cf	90160z	$1$	$1$	\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{8} \cdot 5^{11} \cdot 7^{4} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$0.425786704$	$1$		$4$	$257664$	$1.530180$	$-140654416896/1123046875$	$0.98911$	$3.65427$	$1$	$[0, 0, 0, -9212, 1309084]$	\(y^2=x^3-9212x+1309084\)	230.2.0.?	$[(273, 4375)]$	$1$
225400.bj1	225400cc1	225400.bj	225400cc	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( - 2^{8} \cdot 5^{17} \cdot 7^{10} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$2.723974423$	$1$		$2$	$21643776$	$3.307854$	$-140654416896/1123046875$	$0.98911$	$5.11332$	$1$	$[0, 0, 0, -11284700, 56126976500]$	\(y^2=x^3-11284700x+56126976500\)	230.2.0.?	$[(3305, 234375)]$	$1$
225400.bk1	225400cg1	225400.bk	225400cg	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( - 2^{8} \cdot 5^{17} \cdot 7^{4} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$1$	$1$		$0$	$3091968$	$2.334900$	$-140654416896/1123046875$	$0.98911$	$4.16607$	$1$	$[0, 0, 0, -230300, -163635500]$	\(y^2=x^3-230300x-163635500\)	230.2.0.?	$[ ]$	$1$
360640.dk1	360640dk1	360640.dk	360640dk	$1$	$1$	\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{14} \cdot 5^{11} \cdot 7^{4} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$4.645317721$	$1$		$2$	$2061312$	$1.876755$	$-140654416896/1123046875$	$0.98911$	$3.58339$	$1$	$[0, 0, 0, -36848, 10472672]$	\(y^2=x^3-36848x+10472672\)	230.2.0.?	$[(217, 3563)]$	$1$
360640.el1	360640el1	360640.el	360640el	$1$	$1$	\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{14} \cdot 5^{11} \cdot 7^{4} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$46.96876721$	$1$		$0$	$2061312$	$1.876755$	$-140654416896/1123046875$	$0.98911$	$3.58339$	$1$	$[0, 0, 0, -36848, -10472672]$	\(y^2=x^3-36848x-10472672\)	230.2.0.?	$[(225025622947336855953/407278339, 3334452624811340862563626653041/407278339)]$	$1$
360640.ev1	360640ev1	360640.ev	360640ev	$1$	$1$	\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{14} \cdot 5^{11} \cdot 7^{10} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$10.68948621$	$1$		$0$	$14429184$	$2.849709$	$-140654416896/1123046875$	$0.98911$	$4.49584$	$1$	$[0, 0, 0, -1805552, -3592126496]$	\(y^2=x^3-1805552x-3592126496\)	230.2.0.?	$[(1700073/29, 778398125/29)]$	$1$
360640.fn1	360640fn1	360640.fn	360640fn	$1$	$1$	\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{14} \cdot 5^{11} \cdot 7^{10} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$6.511461392$	$1$		$2$	$14429184$	$2.849709$	$-140654416896/1123046875$	$0.98911$	$4.49584$	$1$	$[0, 0, 0, -1805552, 3592126496]$	\(y^2=x^3-1805552x+3592126496\)	230.2.0.?	$[(21697, 3190375)]$	$1$
405720.cy1	405720cy1	405720.cy	405720cy	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{8} \cdot 3^{6} \cdot 5^{11} \cdot 7^{4} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$4.508565628$	$1$		$2$	$4122624$	$2.079487$	$-140654416896/1123046875$	$0.98911$	$3.73909$	$1$	$[0, 0, 0, -82908, 35345268]$	\(y^2=x^3-82908x+35345268\)	230.2.0.?	$[(-402, 1926)]$	$1$
405720.gs1	405720gs1	405720.gs	405720gs	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{8} \cdot 3^{6} \cdot 5^{11} \cdot 7^{10} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$2.514552754$	$1$		$2$	$28858368$	$3.052441$	$-140654416896/1123046875$	$0.98911$	$4.64323$	$1$	$[0, 0, 0, -4062492, -12123426924]$	\(y^2=x^3-4062492x-12123426924\)	230.2.0.?	$[(3642, 146250)]$	$1$
450800.dy1	450800dy1	450800.dy	450800dy	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( - 2^{8} \cdot 5^{17} \cdot 7^{10} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$1$	$4$	$2$	$0$	$43287552$	$3.307854$	$-140654416896/1123046875$	$0.98911$	$4.84108$	$1$	$[0, 0, 0, -11284700, -56126976500]$	\(y^2=x^3-11284700x-56126976500\)	230.2.0.?	$[ ]$	$1$
450800.ee1	450800ee1	450800.ee	450800ee	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( - 2^{8} \cdot 5^{17} \cdot 7^{4} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$23.78773995$	$1$		$0$	$6183936$	$2.334900$	$-140654416896/1123046875$	$0.98911$	$3.94426$	$1$	$[0, 0, 0, -230300, 163635500]$	\(y^2=x^3-230300x+163635500\)	230.2.0.?	$[(18699682369/2971, 2513139583539047/2971)]$	$1$

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