Elliptic curve search results

Results (24 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
5070.f1	5070d1	5070.f	5070d	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \)	\( - 2^{13} \cdot 3^{3} \cdot 5 \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$1$		$0$	$1872$	$0.267981$	$-50308609/1105920$	$0.98509$	$3.10942$	$[1, 1, 0, -42, -684]$	\(y^2+xy=x^3+x^2-42x-684\)	120.2.0.?	$[ ]$
5070.o1	5070l1	5070.o	5070l	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \)	\( - 2^{13} \cdot 3^{3} \cdot 5 \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$1$		$0$	$24336$	$1.550455$	$-50308609/1105920$	$0.98509$	$4.91338$	$[1, 1, 1, -7186, -1466977]$	\(y^2+xy+y=x^3+x^2-7186x-1466977\)	120.2.0.?	$[ ]$
15210.t1	15210r1	15210.t	15210r	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( - 2^{13} \cdot 3^{9} \cdot 5 \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$4.385003700$	$1$		$2$	$194688$	$2.099762$	$-50308609/1105920$	$0.98509$	$5.03734$	$[1, -1, 0, -64674, 39543700]$	\(y^2+xy=x^3-x^2-64674x+39543700\)	120.2.0.?	$[(209, 5822)]$
15210.bb1	15210bg1	15210.bb	15210bg	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( - 2^{13} \cdot 3^{9} \cdot 5 \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$0.141546168$	$1$		$10$	$14976$	$0.817287$	$-50308609/1105920$	$0.98509$	$3.43920$	$[1, -1, 1, -383, 18087]$	\(y^2+xy+y=x^3-x^2-383x+18087\)	120.2.0.?	$[(35, 198)]$
25350.bd1	25350z1	25350.bd	25350z	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{13} \cdot 3^{3} \cdot 5^{7} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$1$		$0$	$584064$	$2.355175$	$-50308609/1105920$	$0.98509$	$5.08584$	$[1, 0, 1, -179651, -183012802]$	\(y^2+xy+y=x^3-179651x-183012802\)	120.2.0.?	$[ ]$
25350.dj1	25350cu1	25350.dj	25350cu	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{13} \cdot 3^{3} \cdot 5^{7} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$0.193816189$	$1$		$10$	$44928$	$1.072701$	$-50308609/1105920$	$0.98509$	$3.56820$	$[1, 0, 0, -1063, -83383]$	\(y^2+xy=x^3-1063x-83383\)	120.2.0.?	$[(62, 269)]$
40560.bp1	40560cc1	40560.bp	40560cc	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \)	\( - 2^{25} \cdot 3^{3} \cdot 5 \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$2.303679491$	$1$		$2$	$584064$	$2.243603$	$-50308609/1105920$	$0.98509$	$4.73437$	$[0, 1, 0, -114976, 93656564]$	\(y^2=x^3+x^2-114976x+93656564\)	120.2.0.?	$[(410, 10752)]$
40560.cv1	40560cs1	40560.cv	40560cs	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \)	\( - 2^{25} \cdot 3^{3} \cdot 5 \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$1$		$0$	$44928$	$0.961128$	$-50308609/1105920$	$0.98509$	$3.28396$	$[0, 1, 0, -680, 42420]$	\(y^2=x^3+x^2-680x+42420\)	120.2.0.?	$[ ]$
76050.ck1	76050bi1	76050.ck	76050bi	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{13} \cdot 3^{9} \cdot 5^{7} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$1$		$0$	$359424$	$1.622005$	$-50308609/1105920$	$0.98509$	$3.80590$	$[1, -1, 0, -9567, 2251341]$	\(y^2+xy=x^3-x^2-9567x+2251341\)	120.2.0.?	$[ ]$
76050.dy1	76050en1	76050.dy	76050en	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{13} \cdot 3^{9} \cdot 5^{7} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$0.281784289$	$1$		$8$	$4672512$	$2.904480$	$-50308609/1105920$	$0.98509$	$5.17520$	$[1, -1, 1, -1616855, 4941345647]$	\(y^2+xy+y=x^3-x^2-1616855x+4941345647\)	120.2.0.?	$[(1479, 75310)]$
121680.by1	121680dn1	121680.by	121680dn	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( - 2^{25} \cdot 3^{9} \cdot 5 \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$3.857574245$	$1$		$0$	$359424$	$1.510435$	$-50308609/1105920$	$0.98509$	$3.53879$	$[0, 0, 0, -6123, -1151462]$	\(y^2=x^3-6123x-1151462\)	120.2.0.?	$[(1117/3, 512/3)]$
121680.dv1	121680ew1	121680.dv	121680ew	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( - 2^{25} \cdot 3^{9} \cdot 5 \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$1$		$0$	$4672512$	$2.792908$	$-50308609/1105920$	$0.98509$	$4.85312$	$[0, 0, 0, -1034787, -2529762014]$	\(y^2=x^3-1034787x-2529762014\)	120.2.0.?	$[ ]$
162240.bn1	162240ec1	162240.bn	162240ec	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \)	\( - 2^{31} \cdot 3^{3} \cdot 5 \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$1$		$0$	$359424$	$1.307701$	$-50308609/1105920$	$0.98509$	$3.25115$	$[0, -1, 0, -2721, 342081]$	\(y^2=x^3-x^2-2721x+342081\)	120.2.0.?	$[ ]$
162240.cq1	162240ci1	162240.cq	162240ci	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \)	\( - 2^{31} \cdot 3^{3} \cdot 5 \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$3.984788616$	$1$		$0$	$4672512$	$2.590176$	$-50308609/1105920$	$0.98509$	$4.53396$	$[0, -1, 0, -459905, 749712417]$	\(y^2=x^3-x^2-459905x+749712417\)	120.2.0.?	$[(111661/5, 37033984/5)]$
162240.es1	162240fy1	162240.es	162240fy	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \)	\( - 2^{31} \cdot 3^{3} \cdot 5 \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$1$		$0$	$359424$	$1.307701$	$-50308609/1105920$	$0.98509$	$3.25115$	$[0, 1, 0, -2721, -342081]$	\(y^2=x^3+x^2-2721x-342081\)	120.2.0.?	$[ ]$
162240.hu1	162240fj1	162240.hu	162240fj	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \)	\( - 2^{31} \cdot 3^{3} \cdot 5 \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$3.943411964$	$1$		$0$	$4672512$	$2.590176$	$-50308609/1105920$	$0.98509$	$4.53396$	$[0, 1, 0, -459905, -749712417]$	\(y^2=x^3+x^2-459905x-749712417\)	120.2.0.?	$[(234451/5, 113178624/5)]$
202800.bn1	202800fd1	202800.bn	202800fd	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{25} \cdot 3^{3} \cdot 5^{7} \cdot 13^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$2.140312574$	$1$		$8$	$1078272$	$1.765848$	$-50308609/1105920$	$0.98509$	$3.64168$	$[0, -1, 0, -17008, 5336512]$	\(y^2=x^3-x^2-17008x+5336512\)	120.2.0.?	$[(552, 12800), (-152/3, 64000/3)]$
202800.eh1	202800ge1	202800.eh	202800ge	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{25} \cdot 3^{3} \cdot 5^{7} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$1$		$0$	$14017536$	$3.048321$	$-50308609/1105920$	$0.98509$	$4.90106$	$[0, -1, 0, -2874408, 11712819312]$	\(y^2=x^3-x^2-2874408x+11712819312\)	120.2.0.?	$[ ]$
248430.de1	248430de1	248430.de	248430de	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( - 2^{13} \cdot 3^{3} \cdot 5 \cdot 7^{6} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1.947890054$	$1$		$2$	$673920$	$1.240936$	$-50308609/1105920$	$0.98509$	$3.07514$	$[1, 0, 1, -2084, 228386]$	\(y^2+xy+y=x^3-2084x+228386\)	120.2.0.?	$[(-24, 526)]$
248430.jv1	248430jv1	248430.jv	248430jv	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( - 2^{13} \cdot 3^{3} \cdot 5 \cdot 7^{6} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$0.449468063$	$1$		$6$	$8760960$	$2.523411$	$-50308609/1105920$	$0.98509$	$4.31396$	$[1, 0, 0, -352115, 502116705]$	\(y^2+xy=x^3-352115x+502116705\)	120.2.0.?	$[(5422, 394777)]$
486720.ch1	486720ch1	486720.ch	486720ch	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( - 2^{31} \cdot 3^{9} \cdot 5 \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$6.340099127$	$1$		$2$	$37380096$	$3.139484$	$-50308609/1105920$	$0.98509$	$4.65695$	$[0, 0, 0, -4139148, -20238096112]$	\(y^2=x^3-4139148x-20238096112\)	120.2.0.?	$[(5836, 392904)]$
486720.gf1	486720gf1	486720.gf	486720gf	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( - 2^{31} \cdot 3^{9} \cdot 5 \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$1$		$0$	$37380096$	$3.139484$	$-50308609/1105920$	$0.98509$	$4.65695$	$[0, 0, 0, -4139148, 20238096112]$	\(y^2=x^3-4139148x+20238096112\)	120.2.0.?	$[ ]$
486720.kq1	486720kq1	486720.kq	486720kq	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( - 2^{31} \cdot 3^{9} \cdot 5 \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$3.740009097$	$1$		$0$	$2875392$	$1.857008$	$-50308609/1105920$	$0.98509$	$3.48175$	$[0, 0, 0, -24492, 9211696]$	\(y^2=x^3-24492x+9211696\)	120.2.0.?	$[(-4954/5, 313344/5)]$
486720.ou1	486720ou1	486720.ou	486720ou	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( - 2^{31} \cdot 3^{9} \cdot 5 \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$1$		$0$	$2875392$	$1.857008$	$-50308609/1105920$	$0.98509$	$3.48175$	$[0, 0, 0, -24492, -9211696]$	\(y^2=x^3-24492x-9211696\)	120.2.0.?	$[ ]$

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