Elliptic curve search results

Results (34 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
1150.b1	1150a1	1150.b	1150a	$1$	$1$	\( 2 \cdot 5^{2} \cdot 23 \)	\( 2^{20} \cdot 5^{10} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$1$		$0$	$7200$	$1.673220$	$22180666338225/24117248$	$1.26739$	$6.64413$	$1$	$[1, -1, 0, -125117, 17049541]$	\(y^2+xy=x^3-x^2-125117x+17049541\)	92.2.0.?	$[ ]$	$1$
1150.g1	1150h1	1150.g	1150h	$1$	$1$	\( 2 \cdot 5^{2} \cdot 23 \)	\( 2^{20} \cdot 5^{4} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$0.045339353$	$1$		$14$	$1440$	$0.868501$	$22180666338225/24117248$	$1.26739$	$5.27391$	$1$	$[1, -1, 1, -5005, 137397]$	\(y^2+xy+y=x^3-x^2-5005x+137397\)	92.2.0.?	$[(39, 0)]$	$1$
9200.s1	9200q1	9200.s	9200q	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 23 \)	\( 2^{32} \cdot 5^{10} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$9$	$3$	$0$	$172800$	$2.366367$	$22180666338225/24117248$	$1.26739$	$6.04170$	$1$	$[0, 0, 0, -2001875, -1089168750]$	\(y^2=x^3-2001875x-1089168750\)	92.2.0.?	$[ ]$	$1$
9200.v1	9200bh1	9200.v	9200bh	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 23 \)	\( 2^{32} \cdot 5^{4} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$1$		$0$	$34560$	$1.561647$	$22180666338225/24117248$	$1.26739$	$4.98367$	$1$	$[0, 0, 0, -80075, -8713350]$	\(y^2=x^3-80075x-8713350\)	92.2.0.?	$[ ]$	$1$
10350.j1	10350x1	10350.j	10350x	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 23 \)	\( 2^{20} \cdot 3^{6} \cdot 5^{4} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$1$		$0$	$46080$	$1.417807$	$22180666338225/24117248$	$1.26739$	$4.73347$	$1$	$[1, -1, 0, -45042, -3664684]$	\(y^2+xy=x^3-x^2-45042x-3664684\)	92.2.0.?	$[ ]$	$1$
10350.bn1	10350bl1	10350.bn	10350bl	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 23 \)	\( 2^{20} \cdot 3^{6} \cdot 5^{10} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1.215414024$	$1$		$4$	$230400$	$2.222527$	$22180666338225/24117248$	$1.26739$	$5.77802$	$1$	$[1, -1, 1, -1126055, -459211553]$	\(y^2+xy+y=x^3-x^2-1126055x-459211553\)	92.2.0.?	$[(-605, 878)]$	$1$
26450.g1	26450a1	26450.g	26450a	$1$	$1$	\( 2 \cdot 5^{2} \cdot 23^{2} \)	\( 2^{20} \cdot 5^{10} \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$4$	$2$	$0$	$3801600$	$3.240967$	$22180666338225/24117248$	$1.26739$	$6.44579$	$1$	$[1, -1, 0, -66186992, -207044643584]$	\(y^2+xy=x^3-x^2-66186992x-207044643584\)	92.2.0.?	$[ ]$	$1$
26450.u1	26450x1	26450.u	26450x	$1$	$1$	\( 2 \cdot 5^{2} \cdot 23^{2} \)	\( 2^{20} \cdot 5^{4} \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$1$		$0$	$760320$	$2.436249$	$22180666338225/24117248$	$1.26739$	$5.49749$	$1$	$[1, -1, 1, -2647480, -1655827653]$	\(y^2+xy+y=x^3-x^2-2647480x-1655827653\)	92.2.0.?	$[ ]$	$1$
36800.bp1	36800bx1	36800.bp	36800bx	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 23 \)	\( 2^{38} \cdot 5^{10} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$1$		$0$	$1382400$	$2.712940$	$22180666338225/24117248$	$1.26739$	$5.64062$	$1$	$[0, 0, 0, -8007500, -8713350000]$	\(y^2=x^3-8007500x-8713350000\)	92.2.0.?	$[ ]$	$1$
36800.bt1	36800bh1	36800.bt	36800bh	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 23 \)	\( 2^{38} \cdot 5^{4} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$1$		$0$	$276480$	$1.908222$	$22180666338225/24117248$	$1.26739$	$4.72210$	$1$	$[0, 0, 0, -320300, 69706800]$	\(y^2=x^3-320300x+69706800\)	92.2.0.?	$[ ]$	$1$
36800.ca1	36800dk1	36800.ca	36800dk	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 23 \)	\( 2^{38} \cdot 5^{4} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$1$		$0$	$276480$	$1.908222$	$22180666338225/24117248$	$1.26739$	$4.72210$	$1$	$[0, 0, 0, -320300, -69706800]$	\(y^2=x^3-320300x-69706800\)	92.2.0.?	$[ ]$	$1$
36800.ce1	36800s1	36800.ce	36800s	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 23 \)	\( 2^{38} \cdot 5^{10} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$4$	$2$	$0$	$1382400$	$2.712940$	$22180666338225/24117248$	$1.26739$	$5.64062$	$1$	$[0, 0, 0, -8007500, 8713350000]$	\(y^2=x^3-8007500x+8713350000\)	92.2.0.?	$[ ]$	$1$
56350.m1	56350k1	56350.m	56350k	$1$	$1$	\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( 2^{20} \cdot 5^{10} \cdot 7^{6} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$15.06774405$	$1$		$0$	$2721600$	$2.646175$	$22180666338225/24117248$	$1.26739$	$5.34768$	$1$	$[1, -1, 0, -6130742, -5835731084]$	\(y^2+xy=x^3-x^2-6130742x-5835731084\)	92.2.0.?	$[(-292080132/449, 243203395202/449)]$	$1$
56350.bn1	56350bt1	56350.bn	56350bt	$1$	$1$	\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( 2^{20} \cdot 5^{4} \cdot 7^{6} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$1$		$0$	$544320$	$1.841455$	$22180666338225/24117248$	$1.26739$	$4.46494$	$1$	$[1, -1, 1, -245230, -46636803]$	\(y^2+xy+y=x^3-x^2-245230x-46636803\)	92.2.0.?	$[ ]$	$1$
82800.ci1	82800dz1	82800.ci	82800dz	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 \)	\( 2^{32} \cdot 3^{6} \cdot 5^{10} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$1$		$0$	$5529600$	$2.915672$	$22180666338225/24117248$	$1.26739$	$5.45152$	$1$	$[0, 0, 0, -18016875, 29407556250]$	\(y^2=x^3-18016875x+29407556250\)	92.2.0.?	$[ ]$	$1$
82800.du1	82800fb1	82800.du	82800fb	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 \)	\( 2^{32} \cdot 3^{6} \cdot 5^{4} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$1$		$0$	$1105920$	$2.110954$	$22180666338225/24117248$	$1.26739$	$4.59878$	$1$	$[0, 0, 0, -720675, 235260450]$	\(y^2=x^3-720675x+235260450\)	92.2.0.?	$[ ]$	$1$
139150.w1	139150cm1	139150.w	139150cm	$1$	$1$	\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 23 \)	\( 2^{20} \cdot 5^{4} \cdot 11^{6} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$5.748951626$	$1$		$0$	$1944000$	$2.067448$	$22180666338225/24117248$	$1.26739$	$4.35312$	$1$	$[1, -1, 0, -605567, -181059059]$	\(y^2+xy=x^3-x^2-605567x-181059059\)	92.2.0.?	$[(-74994/13, 1288741/13)]$	$1$
139150.ck1	139150u1	139150.ck	139150u	$1$	$1$	\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 23 \)	\( 2^{20} \cdot 5^{10} \cdot 11^{6} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$1$		$0$	$9720000$	$2.872169$	$22180666338225/24117248$	$1.26739$	$5.16849$	$1$	$[1, -1, 1, -15139180, -22647521553]$	\(y^2+xy+y=x^3-x^2-15139180x-22647521553\)	92.2.0.?	$[ ]$	$1$
194350.bh1	194350dk1	194350.bh	194350dk	$1$	$1$	\( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \)	\( 2^{20} \cdot 5^{4} \cdot 13^{6} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$1$		$0$	$3231360$	$2.150974$	$22180666338225/24117248$	$1.26739$	$4.31600$	$1$	$[1, -1, 0, -845792, 299324416]$	\(y^2+xy=x^3-x^2-845792x+299324416\)	92.2.0.?	$[ ]$	$1$
194350.dl1	194350bd1	194350.dl	194350bd	$1$	$1$	\( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \)	\( 2^{20} \cdot 5^{10} \cdot 13^{6} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$4.137891245$	$1$		$2$	$16156800$	$2.955696$	$22180666338225/24117248$	$1.26739$	$5.10899$	$1$	$[1, -1, 1, -21144805, 37394407197]$	\(y^2+xy+y=x^3-x^2-21144805x+37394407197\)	92.2.0.?	$[(1983, 56096)]$	$1$
211600.bz1	211600bc1	211600.bz	211600bc	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 23^{2} \)	\( 2^{32} \cdot 5^{4} \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$1$		$0$	$18247680$	$3.129395$	$22180666338225/24117248$	$1.26739$	$5.24355$	$1$	$[0, 0, 0, -42359675, 106015329450]$	\(y^2=x^3-42359675x+106015329450\)	92.2.0.?	$[ ]$	$1$
211600.ce1	211600bn1	211600.ce	211600bn	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 23^{2} \)	\( 2^{32} \cdot 5^{10} \cdot 23^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$21.74512883$	$1$		$0$	$91238400$	$3.934113$	$22180666338225/24117248$	$1.26739$	$6.03104$	$1$	$[0, 0, 0, -1058991875, 13251916181250]$	\(y^2=x^3-1058991875x+13251916181250\)	92.2.0.?	$[(-68260345369/1639, 21458867016842846/1639)]$	$1$
238050.ce1	238050ce1	238050.ce	238050ce	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \)	\( 2^{20} \cdot 3^{6} \cdot 5^{4} \cdot 23^{7} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1.460950596$	$1$		$12$	$24330240$	$2.985554$	$22180666338225/24117248$	$1.26739$	$5.05424$	$1$	$[1, -1, 0, -23827317, 44731173941]$	\(y^2+xy=x^3-x^2-23827317x+44731173941\)	92.2.0.?	$[(12794, 1347843), (2554, 21763)]$	$1$
238050.ep1	238050ep1	238050.ep	238050ep	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \)	\( 2^{20} \cdot 3^{6} \cdot 5^{10} \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$1$		$0$	$121651200$	$3.790272$	$22180666338225/24117248$	$1.26739$	$5.83424$	$1$	$[1, -1, 1, -595682930, 5590801059697]$	\(y^2+xy+y=x^3-x^2-595682930x+5590801059697\)	92.2.0.?	$[ ]$	$1$
331200.gd1	331200gd1	331200.gd	331200gd	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 23 \)	\( 2^{38} \cdot 3^{6} \cdot 5^{4} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$1$		$0$	$8847360$	$2.457527$	$22180666338225/24117248$	$1.26739$	$4.42441$	$1$	$[0, 0, 0, -2882700, -1882083600]$	\(y^2=x^3-2882700x-1882083600\)	92.2.0.?	$[ ]$	$1$
331200.gv1	331200gv1	331200.gv	331200gv	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 23 \)	\( 2^{38} \cdot 3^{6} \cdot 5^{10} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$1$		$0$	$44236800$	$3.262245$	$22180666338225/24117248$	$1.26739$	$5.18414$	$1$	$[0, 0, 0, -72067500, 235260450000]$	\(y^2=x^3-72067500x+235260450000\)	92.2.0.?	$[ ]$	$1$
331200.kf1	331200kf1	331200.kf	331200kf	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 23 \)	\( 2^{38} \cdot 3^{6} \cdot 5^{10} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$4$	$2$	$0$	$44236800$	$3.262245$	$22180666338225/24117248$	$1.26739$	$5.18414$	$1$	$[0, 0, 0, -72067500, -235260450000]$	\(y^2=x^3-72067500x-235260450000\)	92.2.0.?	$[ ]$	$1$
331200.kz1	331200kz1	331200.kz	331200kz	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 23 \)	\( 2^{38} \cdot 3^{6} \cdot 5^{4} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$1$		$0$	$8847360$	$2.457527$	$22180666338225/24117248$	$1.26739$	$4.42441$	$1$	$[0, 0, 0, -2882700, 1882083600]$	\(y^2=x^3-2882700x+1882083600\)	92.2.0.?	$[ ]$	$1$
332350.ba1	332350ba1	332350.ba	332350ba	$1$	$1$	\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \)	\( 2^{20} \cdot 5^{10} \cdot 17^{6} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$6.932622648$	$1$		$0$	$29952000$	$3.089828$	$22180666338225/24117248$	$1.26739$	$5.01999$	$1$	$[1, -1, 0, -36158867, 83619759541]$	\(y^2+xy=x^3-x^2-36158867x+83619759541\)	92.2.0.?	$[(27385/3, 1091947/3)]$	$1$
332350.cs1	332350cs1	332350.cs	332350cs	$1$	$1$	\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \)	\( 2^{20} \cdot 5^{4} \cdot 17^{6} \cdot 23 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1.917068743$	$1$		$10$	$5990400$	$2.285107$	$22180666338225/24117248$	$1.26739$	$4.26046$	$1$	$[1, -1, 1, -1446355, 669247347]$	\(y^2+xy+y=x^3-x^2-1446355x+669247347\)	92.2.0.?	$[(795, 4226), (-2093/3, 853942/3)]$	$1$
415150.l1	415150l1	415150.l	415150l	$1$	$1$	\( 2 \cdot 5^{2} \cdot 19^{2} \cdot 23 \)	\( 2^{20} \cdot 5^{4} \cdot 19^{6} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$2.243991363$	$1$		$4$	$9097920$	$2.340721$	$22180666338225/24117248$	$1.26739$	$4.23879$	$1$	$[1, -1, 0, -1806692, -933374384]$	\(y^2+xy=x^3-x^2-1806692x-933374384\)	92.2.0.?	$[(-792, 908)]$	$1$
415150.bf1	415150bf1	415150.bf	415150bf	$1$	$1$	\( 2 \cdot 5^{2} \cdot 19^{2} \cdot 23 \)	\( 2^{20} \cdot 5^{10} \cdot 19^{6} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$1$		$0$	$45489600$	$3.145439$	$22180666338225/24117248$	$1.26739$	$4.98526$	$1$	$[1, -1, 1, -45167305, -116716965303]$	\(y^2+xy+y=x^3-x^2-45167305x-116716965303\)	92.2.0.?	$[ ]$	$1$
450800.dv1	450800dv1	450800.dv	450800dv	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( 2^{32} \cdot 5^{10} \cdot 7^{6} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$26.83942705$	$1$		$0$	$65318400$	$3.339321$	$22180666338225/24117248$	$1.26739$	$5.13242$	$1$	$[0, 0, 0, -98091875, 373584881250]$	\(y^2=x^3-98091875x+373584881250\)	92.2.0.?	$[(682742671391/13643, 638039932270275814/13643)]$	$1$
450800.dw1	450800dw1	450800.dw	450800dw	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( 2^{32} \cdot 5^{4} \cdot 7^{6} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$20.00031211$	$1$		$0$	$13063680$	$2.534603$	$22180666338225/24117248$	$1.26739$	$4.39067$	$1$	$[0, 0, 0, -3923675, 2988679050]$	\(y^2=x^3-3923675x+2988679050\)	92.2.0.?	$[(-589676041/553, 9839071203802/553)]$	$1$

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