Elliptic curve search results

Results (15 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
6630.a1	6630c3	6630.a	6630c	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2 \cdot 3^{2} \cdot 5^{4} \cdot 13 \cdot 17^{4} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.7	2B	$8840$	$48$	$0$	$0.997927869$	$1$		$18$	$8192$	$0.701576$	$302503589987689/12214946250$	$0.91228$	$3.78927$	$[1, 1, 0, -1398, -19998]$	\(y^2+xy=x^3+x^2-1398x-19998\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 52.12.0-4.c.1.1, 104.24.0.?, $\ldots$	$[(-21, 36), (171/2, 33/2)]$
19890.bc1	19890bd3	19890.bc	19890bd	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( 2 \cdot 3^{8} \cdot 5^{4} \cdot 13 \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$26520$	$48$	$0$	$1$	$1$		$0$	$65536$	$1.250881$	$302503589987689/12214946250$	$0.91228$	$4.03464$	$[1, -1, 1, -12587, 527361]$	\(y^2+xy+y=x^3-x^2-12587x+527361\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 104.12.0.?, 156.12.0.?, $\ldots$	$[]$
33150.ck1	33150cb4	33150.ck	33150cb	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2 \cdot 3^{2} \cdot 5^{10} \cdot 13 \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$8840$	$48$	$0$	$1$	$4$	$2$	$0$	$196608$	$1.506294$	$302503589987689/12214946250$	$0.91228$	$4.13110$	$[1, 0, 0, -34963, -2429833]$	\(y^2+xy=x^3-34963x-2429833\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.1, 104.12.0.?, 136.12.0.?, $\ldots$	$[]$
53040.cd1	53040cl4	53040.cd	53040cl	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{13} \cdot 3^{2} \cdot 5^{4} \cdot 13 \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$8840$	$48$	$0$	$1$	$1$		$1$	$196608$	$1.394724$	$302503589987689/12214946250$	$0.91228$	$3.82955$	$[0, 1, 0, -22376, 1235124]$	\(y^2=x^3+x^2-22376x+1235124\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 52.12.0-4.c.1.2, 104.24.0.?, $\ldots$	$[]$
86190.ch1	86190ce4	86190.ch	86190ce	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( 2 \cdot 3^{2} \cdot 5^{4} \cdot 13^{7} \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$8840$	$48$	$0$	$1$	$1$		$0$	$1376256$	$1.984051$	$302503589987689/12214946250$	$0.91228$	$4.28823$	$[1, 1, 1, -236350, -42754015]$	\(y^2+xy+y=x^3+x^2-236350x-42754015\)	2.3.0.a.1, 4.12.0-4.c.1.2, 104.24.0.?, 680.24.0.?, 8840.48.0.?	$[]$
99450.bw1	99450bk4	99450.bw	99450bk	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2 \cdot 3^{8} \cdot 5^{10} \cdot 13 \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$26520$	$48$	$0$	$1$	$1$		$0$	$1572864$	$2.055599$	$302503589987689/12214946250$	$0.91228$	$4.30952$	$[1, -1, 0, -314667, 65605491]$	\(y^2+xy=x^3-x^2-314667x+65605491\)	2.3.0.a.1, 4.6.0.c.1, 104.12.0.?, 120.12.0.?, 408.12.0.?, $\ldots$	$[]$
112710.bq1	112710bl4	112710.bq	112710bl	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( 2 \cdot 3^{2} \cdot 5^{4} \cdot 13 \cdot 17^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$8840$	$48$	$0$	$5.839315907$	$1$		$2$	$2359296$	$2.118183$	$302503589987689/12214946250$	$0.91228$	$4.32771$	$[1, 0, 1, -404173, -95421322]$	\(y^2+xy+y=x^3-404173x-95421322\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 104.12.0.?, 136.12.0.?, $\ldots$	$[(-312, 733)]$
159120.eh1	159120x4	159120.eh	159120x	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{13} \cdot 3^{8} \cdot 5^{4} \cdot 13 \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$26520$	$48$	$0$	$1$	$1$		$1$	$1572864$	$1.944029$	$302503589987689/12214946250$	$0.91228$	$4.02863$	$[0, 0, 0, -201387, -33549734]$	\(y^2=x^3-201387x-33549734\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 104.12.0.?, 156.12.0.?, $\ldots$	$[]$
212160.dm1	212160cw3	212160.dm	212160cw	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{19} \cdot 3^{2} \cdot 5^{4} \cdot 13 \cdot 17^{4} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$8840$	$48$	$0$	$2.171471593$	$1$		$9$	$1572864$	$1.741297$	$302503589987689/12214946250$	$0.91228$	$3.73579$	$[0, -1, 0, -89505, 9970497]$	\(y^2=x^3-x^2-89505x+9970497\)	2.3.0.a.1, 4.12.0-4.c.1.1, 104.24.0.?, 680.24.0.?, 8840.48.0.?	$[(267, 2244)]$
212160.gh1	212160eh4	212160.gh	212160eh	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{19} \cdot 3^{2} \cdot 5^{4} \cdot 13 \cdot 17^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$8840$	$48$	$0$	$1.117288915$	$1$		$7$	$1572864$	$1.741297$	$302503589987689/12214946250$	$0.91228$	$3.73579$	$[0, 1, 0, -89505, -9970497]$	\(y^2=x^3+x^2-89505x-9970497\)	2.3.0.a.1, 4.12.0-4.c.1.2, 104.24.0.?, 680.24.0.?, 8840.48.0.?	$[(-189, 480)]$
258570.bm1	258570bm3	258570.bm	258570bm	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \)	\( 2 \cdot 3^{8} \cdot 5^{4} \cdot 13^{7} \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$26520$	$48$	$0$	$1$	$1$		$0$	$11010048$	$2.533356$	$302503589987689/12214946250$	$0.91228$	$4.43913$	$[1, -1, 0, -2127150, 1152231250]$	\(y^2+xy=x^3-x^2-2127150x+1152231250\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 104.12.0.?, 312.24.0.?, $\ldots$	$[]$
265200.j1	265200j3	265200.j	265200j	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{13} \cdot 3^{2} \cdot 5^{10} \cdot 13 \cdot 17^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$8840$	$48$	$0$	$1.374988623$	$1$		$7$	$4718592$	$2.199444$	$302503589987689/12214946250$	$0.91228$	$4.10927$	$[0, -1, 0, -559408, 155509312]$	\(y^2=x^3-x^2-559408x+155509312\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.2, 104.12.0.?, 136.12.0.?, $\ldots$	$[(208, 6936)]$
324870.cm1	324870cm3	324870.cm	324870cm	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \)	\( 2 \cdot 3^{2} \cdot 5^{4} \cdot 7^{6} \cdot 13 \cdot 17^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$61880$	$48$	$0$	$2.086895984$	$1$		$4$	$2359296$	$1.674532$	$302503589987689/12214946250$	$0.91228$	$3.54723$	$[1, 0, 1, -68528, 6653756]$	\(y^2+xy+y=x^3-68528x+6653756\)	2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.2, 104.12.0.?, 364.12.0.?, $\ldots$	$[(246, 2044)]$
338130.dc1	338130dc3	338130.dc	338130dc	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \)	\( 2 \cdot 3^{8} \cdot 5^{4} \cdot 13 \cdot 17^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$26520$	$48$	$0$	$18.85420239$	$1$		$0$	$18874368$	$2.667488$	$302503589987689/12214946250$	$0.91228$	$4.47202$	$[1, -1, 1, -3637553, 2576375687]$	\(y^2+xy+y=x^3-x^2-3637553x+2576375687\)	2.3.0.a.1, 4.6.0.c.1, 104.12.0.?, 120.12.0.?, 408.12.0.?, $\ldots$	$[(889485757/828, 3204398379151/828)]$
430950.cl1	430950cl4	430950.cl	430950cl	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \)	\( 2 \cdot 3^{2} \cdot 5^{10} \cdot 13^{7} \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$8840$	$48$	$0$	$1$	$4$	$2$	$0$	$33030144$	$2.788769$	$302503589987689/12214946250$	$0.91228$	$4.50058$	$[1, 0, 1, -5908751, -5332434352]$	\(y^2+xy+y=x^3-5908751x-5332434352\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 104.12.0.?, 136.12.0.?, $\ldots$	$[]$