Elliptic curve search results

Results (26 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
3630.c1	3630a1	3630.c	3630a	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \)	\( 2^{5} \cdot 3 \cdot 5^{5} \cdot 11^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$1$		$0$	$2400$	$0.388249$	$439632699649/300000$	$0.98058$	$3.85568$	$[1, 1, 0, -783, -8763]$	\(y^2+xy=x^3+x^2-783x-8763\)	120.2.0.?	$[ ]$	$1$
3630.o1	3630o1	3630.o	3630o	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \)	\( 2^{5} \cdot 3 \cdot 5^{5} \cdot 11^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$0.459294226$	$1$		$6$	$26400$	$1.587196$	$439632699649/300000$	$0.98058$	$5.61089$	$[1, 1, 1, -94806, 11189619]$	\(y^2+xy+y=x^3+x^2-94806x+11189619\)	120.2.0.?	$[(171, 35)]$	$1$
10890.v1	10890x1	10890.v	10890x	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{5} \cdot 3^{7} \cdot 5^{5} \cdot 11^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$1$		$0$	$211200$	$2.136501$	$439632699649/300000$	$0.98058$	$5.65687$	$[1, -1, 0, -853254, -302972972]$	\(y^2+xy=x^3-x^2-853254x-302972972\)	120.2.0.?	$[ ]$	$1$
10890.by1	10890cc1	10890.by	10890cc	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{5} \cdot 3^{7} \cdot 5^{5} \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$0.124148331$	$1$		$8$	$19200$	$0.937555$	$439632699649/300000$	$0.98058$	$4.10911$	$[1, -1, 1, -7052, 229551]$	\(y^2+xy+y=x^3-x^2-7052x+229551\)	120.2.0.?	$[(41, 69)]$	$1$
18150.bg1	18150ba1	18150.bg	18150ba	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( 2^{5} \cdot 3 \cdot 5^{11} \cdot 11^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$2.931949941$	$1$		$0$	$633600$	$2.391914$	$439632699649/300000$	$0.98058$	$5.67475$	$[1, 0, 1, -2370151, 1403442698]$	\(y^2+xy+y=x^3-2370151x+1403442698\)	120.2.0.?	$[(2823/2, 69773/2)]$	$1$
18150.da1	18150cr1	18150.da	18150cr	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( 2^{5} \cdot 3 \cdot 5^{11} \cdot 11^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$1$		$0$	$57600$	$1.192968$	$439632699649/300000$	$0.98058$	$4.20761$	$[1, 0, 0, -19588, -1056208]$	\(y^2+xy=x^3-19588x-1056208\)	120.2.0.?	$[ ]$	$1$
29040.cg1	29040cx1	29040.cg	29040cx	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( 2^{17} \cdot 3 \cdot 5^{5} \cdot 11^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$1$		$0$	$633600$	$2.280346$	$439632699649/300000$	$0.98058$	$5.28492$	$[0, 1, 0, -1516896, -719169420]$	\(y^2=x^3+x^2-1516896x-719169420\)	120.2.0.?	$[ ]$	$1$
29040.cj1	29040cw1	29040.cj	29040cw	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( 2^{17} \cdot 3 \cdot 5^{5} \cdot 11^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$1$		$0$	$57600$	$1.081396$	$439632699649/300000$	$0.98058$	$3.88489$	$[0, 1, 0, -12536, 535764]$	\(y^2=x^3+x^2-12536x+535764\)	120.2.0.?	$[ ]$	$1$
54450.ce1	54450bu1	54450.ce	54450bu	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( 2^{5} \cdot 3^{7} \cdot 5^{11} \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$0.441311344$	$1$		$6$	$460800$	$1.742275$	$439632699649/300000$	$0.98058$	$4.38818$	$[1, -1, 0, -176292, 28517616]$	\(y^2+xy=x^3-x^2-176292x+28517616\)	120.2.0.?	$[(129, 2748)]$	$1$
54450.fg1	54450fo1	54450.fg	54450fo	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( 2^{5} \cdot 3^{7} \cdot 5^{11} \cdot 11^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$1$		$0$	$5068800$	$2.941223$	$439632699649/300000$	$0.98058$	$5.70752$	$[1, -1, 1, -21331355, -37892952853]$	\(y^2+xy+y=x^3-x^2-21331355x-37892952853\)	120.2.0.?	$[ ]$	$1$
87120.ef1	87120fx1	87120.ef	87120fx	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{17} \cdot 3^{7} \cdot 5^{5} \cdot 11^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$0.133013927$	$1$		$10$	$5068800$	$2.829651$	$439632699649/300000$	$0.98058$	$5.35399$	$[0, 0, 0, -13652067, 19403922274]$	\(y^2=x^3-13652067x+19403922274\)	120.2.0.?	$[(-847, 174240)]$	$1$
87120.fi1	87120fr1	87120.fi	87120fr	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{17} \cdot 3^{7} \cdot 5^{5} \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$0.848288872$	$1$		$4$	$460800$	$1.630703$	$439632699649/300000$	$0.98058$	$4.08917$	$[0, 0, 0, -112827, -14578454]$	\(y^2=x^3-112827x-14578454\)	120.2.0.?	$[(-193, 90)]$	$1$
116160.dk1	116160go1	116160.dk	116160go	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( 2^{23} \cdot 3 \cdot 5^{5} \cdot 11^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$1$		$0$	$5068800$	$2.626919$	$439632699649/300000$	$0.98058$	$5.01332$	$[0, -1, 0, -6067585, -5747287775]$	\(y^2=x^3-x^2-6067585x-5747287775\)	120.2.0.?	$[ ]$	$1$
116160.ds1	116160gn1	116160.ds	116160gn	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( 2^{23} \cdot 3 \cdot 5^{5} \cdot 11^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$0.760675564$	$1$		$12$	$460800$	$1.427971$	$439632699649/300000$	$0.98058$	$3.77970$	$[0, -1, 0, -50145, 4336257]$	\(y^2=x^3-x^2-50145x+4336257\)	120.2.0.?	$[(269, 3200), (119, 200)]$	$1$
116160.ib1	116160ef1	116160.ib	116160ef	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( 2^{23} \cdot 3 \cdot 5^{5} \cdot 11^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$1$		$0$	$460800$	$1.427971$	$439632699649/300000$	$0.98058$	$3.77970$	$[0, 1, 0, -50145, -4336257]$	\(y^2=x^3+x^2-50145x-4336257\)	120.2.0.?	$[ ]$	$1$
116160.it1	116160ed1	116160.it	116160ed	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( 2^{23} \cdot 3 \cdot 5^{5} \cdot 11^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$1$		$0$	$5068800$	$2.626919$	$439632699649/300000$	$0.98058$	$5.01332$	$[0, 1, 0, -6067585, 5747287775]$	\(y^2=x^3+x^2-6067585x+5747287775\)	120.2.0.?	$[ ]$	$1$
145200.bw1	145200fj1	145200.bw	145200fj	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( 2^{17} \cdot 3 \cdot 5^{11} \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$2.857397669$	$1$		$2$	$1382400$	$1.886116$	$439632699649/300000$	$0.98058$	$4.17129$	$[0, -1, 0, -313408, 67597312]$	\(y^2=x^3-x^2-313408x+67597312\)	120.2.0.?	$[(282, 1250)]$	$1$
145200.du1	145200fx1	145200.du	145200fx	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( 2^{17} \cdot 3 \cdot 5^{11} \cdot 11^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$13.54856016$	$1$		$0$	$15206400$	$3.085064$	$439632699649/300000$	$0.98058$	$5.38175$	$[0, -1, 0, -37922408, -89820332688]$	\(y^2=x^3-x^2-37922408x-89820332688\)	120.2.0.?	$[(-21319196/77, 2711756384/77)]$	$1$
177870.dh1	177870eu1	177870.dh	177870eu	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( 2^{5} \cdot 3 \cdot 5^{5} \cdot 7^{6} \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1.775646826$	$1$		$2$	$907200$	$1.361204$	$439632699649/300000$	$0.98058$	$3.58021$	$[1, 0, 1, -38393, 2890556]$	\(y^2+xy+y=x^3-38393x+2890556\)	120.2.0.?	$[(110, -18)]$	$1$
177870.je1	177870be1	177870.je	177870be	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( 2^{5} \cdot 3 \cdot 5^{5} \cdot 7^{6} \cdot 11^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$1$		$0$	$9979200$	$2.560150$	$439632699649/300000$	$0.98058$	$4.77035$	$[1, 0, 0, -4645495, -3851975863]$	\(y^2+xy=x^3-4645495x-3851975863\)	120.2.0.?	$[ ]$	$1$
348480.cz1	348480cz1	348480.cz	348480cz	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{23} \cdot 3^{7} \cdot 5^{5} \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$0.919356655$	$1$		$4$	$3686400$	$1.977276$	$439632699649/300000$	$0.98058$	$3.97085$	$[0, 0, 0, -451308, 116627632]$	\(y^2=x^3-451308x+116627632\)	120.2.0.?	$[(422, 1152)]$	$1$
348480.dx1	348480dx1	348480.dx	348480dx	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{23} \cdot 3^{7} \cdot 5^{5} \cdot 11^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$4$	$2$	$0$	$40550400$	$3.176224$	$439632699649/300000$	$0.98058$	$5.09827$	$[0, 0, 0, -54608268, 155231378192]$	\(y^2=x^3-54608268x+155231378192\)	120.2.0.?	$[ ]$	$1$
348480.fa1	348480fa1	348480.fa	348480fa	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{23} \cdot 3^{7} \cdot 5^{5} \cdot 11^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$1$		$0$	$3686400$	$1.977276$	$439632699649/300000$	$0.98058$	$3.97085$	$[0, 0, 0, -451308, -116627632]$	\(y^2=x^3-451308x-116627632\)	120.2.0.?	$[ ]$	$1$
348480.fy1	348480fy1	348480.fy	348480fy	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{23} \cdot 3^{7} \cdot 5^{5} \cdot 11^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$5.918971937$	$1$		$2$	$40550400$	$3.176224$	$439632699649/300000$	$0.98058$	$5.09827$	$[0, 0, 0, -54608268, -155231378192]$	\(y^2=x^3-54608268x-155231378192\)	120.2.0.?	$[(-4219, 7929)]$	$1$
435600.gp1	435600gp1	435600.gp	435600gp	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( 2^{17} \cdot 3^{7} \cdot 5^{11} \cdot 11^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$4.109339768$	$1$		$6$	$11059200$	$2.435421$	$439632699649/300000$	$0.98058$	$4.32602$	$[0, 0, 0, -2820675, -1822306750]$	\(y^2=x^3-2820675x-1822306750\)	120.2.0.?	$[(1985, 20000), (-959, 864)]$	$1$
435600.ny1	435600ny1	435600.ny	435600ny	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( 2^{17} \cdot 3^{7} \cdot 5^{11} \cdot 11^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$1$		$0$	$121651200$	$3.634369$	$439632699649/300000$	$0.98058$	$5.43406$	$[0, 0, 0, -341301675, 2425490284250]$	\(y^2=x^3-341301675x+2425490284250\)	120.2.0.?	$[ ]$	$1$

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