Elliptic curve search results

Results (20 matches)

 

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
4290.r1	4290r2	4290.r	4290r	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{2} \cdot 3^{6} \cdot 5^{3} \cdot 11 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$8580$	$12$	$0$	$5.694364180$	$1$		$2$	$9216$	$1.071766$	$2789222297765780449/677605500$	$0.97063$	$5.07796$	$[1, 1, 1, -29326, -1945201]$	\(y^2+xy+y=x^3+x^2-29326x-1945201\)	2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.?	$[(321, 4513)]$
12870.s1	12870z2	12870.s	12870z	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{2} \cdot 3^{12} \cdot 5^{3} \cdot 11 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8580$	$12$	$0$	$0.397964302$	$1$		$10$	$73728$	$1.621073$	$2789222297765780449/677605500$	$0.97063$	$5.18501$	$[1, -1, 0, -263934, 52256488]$	\(y^2+xy=x^3-x^2-263934x+52256488\)	2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.?	$[(287, 149)]$
21450.bf1	21450u2	21450.bf	21450u	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \)	\( 2^{2} \cdot 3^{6} \cdot 5^{9} \cdot 11 \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8580$	$12$	$0$	$1$	$1$		$0$	$221184$	$1.876486$	$2789222297765780449/677605500$	$0.97063$	$5.22675$	$[1, 0, 1, -733151, -241683802]$	\(y^2+xy+y=x^3-733151x-241683802\)	2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.?	$[]$
34320.bs1	34320bz2	34320.bs	34320bz	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{14} \cdot 3^{6} \cdot 5^{3} \cdot 11 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8580$	$12$	$0$	$1.808706036$	$1$		$5$	$221184$	$1.764914$	$2789222297765780449/677605500$	$0.97063$	$4.86333$	$[0, 1, 0, -469216, 123554420]$	\(y^2=x^3+x^2-469216x+123554420\)	2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.?	$[(404, 306)]$
47190.f1	47190b2	47190.f	47190b	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( 2^{2} \cdot 3^{6} \cdot 5^{3} \cdot 11^{7} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8580$	$12$	$0$	$1$	$1$		$0$	$1105920$	$2.270714$	$2789222297765780449/677605500$	$0.97063$	$5.28340$	$[1, 1, 0, -3548448, 2571320052]$	\(y^2+xy=x^3+x^2-3548448x+2571320052\)	2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.?	$[]$
55770.p1	55770q2	55770.p	55770q	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2^{2} \cdot 3^{6} \cdot 5^{3} \cdot 11 \cdot 13^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8580$	$12$	$0$	$3.619106294$	$1$		$2$	$1548288$	$2.354240$	$2789222297765780449/677605500$	$0.97063$	$5.29436$	$[1, 1, 0, -4956097, -4248825719]$	\(y^2+xy=x^3+x^2-4956097x-4248825719\)	2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.?	$[(3827, 179339)]$
64350.ep1	64350eh2	64350.ep	64350eh	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( 2^{2} \cdot 3^{12} \cdot 5^{9} \cdot 11 \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8580$	$12$	$0$	$1$	$1$		$0$	$1769472$	$2.425793$	$2789222297765780449/677605500$	$0.97063$	$5.30348$	$[1, -1, 1, -6598355, 6525462647]$	\(y^2+xy+y=x^3-x^2-6598355x+6525462647\)	2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.?	$[]$
102960.ec1	102960ec2	102960.ec	102960ec	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{14} \cdot 3^{12} \cdot 5^{3} \cdot 11 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8580$	$12$	$0$	$7.071639845$	$1$		$3$	$1769472$	$2.314220$	$2789222297765780449/677605500$	$0.97063$	$4.97152$	$[0, 0, 0, -4222947, -3340192286]$	\(y^2=x^3-4222947x-3340192286\)	2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.?	$[(5703, 397570)]$
137280.db1	137280co2	137280.db	137280co	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{20} \cdot 3^{6} \cdot 5^{3} \cdot 11 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8580$	$12$	$0$	$2.326049957$	$1$		$5$	$1769472$	$2.111488$	$2789222297765780449/677605500$	$0.97063$	$4.64497$	$[0, -1, 0, -1876865, 990312225]$	\(y^2=x^3-x^2-1876865x+990312225\)	2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.?	$[(795, 180)]$
137280.gb1	137280ee2	137280.gb	137280ee	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{20} \cdot 3^{6} \cdot 5^{3} \cdot 11 \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8580$	$12$	$0$	$1$	$1$		$1$	$1769472$	$2.111488$	$2789222297765780449/677605500$	$0.97063$	$4.64497$	$[0, 1, 0, -1876865, -990312225]$	\(y^2=x^3+x^2-1876865x-990312225\)	2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.?	$[]$
141570.ep1	141570t2	141570.ep	141570t	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \)	\( 2^{2} \cdot 3^{12} \cdot 5^{3} \cdot 11^{7} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8580$	$12$	$0$	$4.359273971$	$1$		$0$	$8847360$	$2.820019$	$2789222297765780449/677605500$	$0.97063$	$5.34978$	$[1, -1, 1, -31936037, -69457577439]$	\(y^2+xy+y=x^3-x^2-31936037x-69457577439\)	2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.?	$[(26159/2, 267867/2)]$
167310.dy1	167310bq2	167310.dy	167310bq	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2^{2} \cdot 3^{12} \cdot 5^{3} \cdot 11 \cdot 13^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8580$	$12$	$0$	$1.750421437$	$4$	$2$	$4$	$12386304$	$2.903549$	$2789222297765780449/677605500$	$0.97063$	$5.35881$	$[1, -1, 1, -44604878, 114673689537]$	\(y^2+xy+y=x^3-x^2-44604878x+114673689537\)	2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.?	$[(3897, 2445)]$
171600.bj1	171600eb2	171600.bj	171600eb	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \)	\( 2^{14} \cdot 3^{6} \cdot 5^{9} \cdot 11 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8580$	$12$	$0$	$4.560956276$	$1$		$3$	$5308416$	$2.569633$	$2789222297765780449/677605500$	$0.97063$	$5.01511$	$[0, -1, 0, -11730408, 15467763312]$	\(y^2=x^3-x^2-11730408x+15467763312\)	2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.?	$[(-1182, 166374)]$
210210.ey1	210210s2	210210.ey	210210s	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2^{2} \cdot 3^{6} \cdot 5^{3} \cdot 7^{6} \cdot 11 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8580$	$12$	$0$	$0.942471596$	$1$		$4$	$3317760$	$2.044724$	$2789222297765780449/677605500$	$0.97063$	$4.41811$	$[1, 0, 0, -1436975, 662892957]$	\(y^2+xy=x^3-1436975x+662892957\)	2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.?	$[(694, -437)]$
235950.hm1	235950hm2	235950.hm	235950hm	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( 2^{2} \cdot 3^{6} \cdot 5^{9} \cdot 11^{7} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8580$	$12$	$0$	$3.276085171$	$1$		$4$	$26542080$	$3.075432$	$2789222297765780449/677605500$	$0.97063$	$5.37663$	$[1, 0, 0, -88711213, 321592428917]$	\(y^2+xy=x^3-88711213x+321592428917\)	2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.?	$[(5426, -4195)]$
278850.hw1	278850hw2	278850.hw	278850hw	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13^{2} \)	\( 2^{2} \cdot 3^{6} \cdot 5^{9} \cdot 11 \cdot 13^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8580$	$12$	$0$	$1$	$1$		$0$	$37158912$	$3.158958$	$2789222297765780449/677605500$	$0.97063$	$5.38493$	$[1, 0, 0, -123902438, -530855410008]$	\(y^2+xy=x^3-123902438x-530855410008\)	2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.?	$[]$
377520.ef1	377520ef2	377520.ef	377520ef	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( 2^{14} \cdot 3^{6} \cdot 5^{3} \cdot 11^{7} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8580$	$12$	$0$	$1$	$1$		$1$	$26542080$	$2.963860$	$2789222297765780449/677605500$	$0.97063$	$5.07558$	$[0, 1, 0, -56775176, -164678033676]$	\(y^2=x^3+x^2-56775176x-164678033676\)	2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.?	$[]$
411840.bn1	411840bn2	411840.bn	411840bn	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{20} \cdot 3^{12} \cdot 5^{3} \cdot 11 \cdot 13^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8580$	$12$	$0$	$6.486522811$	$1$		$11$	$14155776$	$2.660793$	$2789222297765780449/677605500$	$0.97063$	$4.76011$	$[0, 0, 0, -16891788, 26721538288]$	\(y^2=x^3-16891788x+26721538288\)	2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.?	$[(2366, 576), (638, 127296)]$
411840.fd1	411840fd2	411840.fd	411840fd	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{20} \cdot 3^{12} \cdot 5^{3} \cdot 11 \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8580$	$12$	$0$	$1$	$4$	$2$	$1$	$14155776$	$2.660793$	$2789222297765780449/677605500$	$0.97063$	$4.76011$	$[0, 0, 0, -16891788, -26721538288]$	\(y^2=x^3-16891788x-26721538288\)	2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.?	$[]$
446160.hl1	446160hl2	446160.hl	446160hl	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2^{14} \cdot 3^{6} \cdot 5^{3} \cdot 11 \cdot 13^{8} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8580$	$12$	$0$	$3.099537711$	$1$		$15$	$37158912$	$3.047390$	$2789222297765780449/677605500$	$0.97063$	$5.08745$	$[0, 1, 0, -79297560, 271766250900]$	\(y^2=x^3+x^2-79297560x+271766250900\)	2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.?	$[(5100, 5070), (5148, 846)]$