Elliptic curve search results

Results (12 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
11310.i4	11310i1	11310.i	11310i	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{4} \cdot 3^{5} \cdot 5^{12} \cdot 13 \cdot 29^{2} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.7	2B	$1560$	$48$	$0$	$1$	$1$		$3$	$103680$	$1.757280$	$4547226203385942959/10377808593750000$	$0.97064$	$4.71859$	$[1, 1, 1, 34515, 4248915]$	\(y^2+xy+y=x^3+x^2+34515x+4248915\)	2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.bb.1.2, 78.6.0.?, 156.24.0.?, $\ldots$	$[]$
33930.a4	33930l1	33930.a	33930l	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{4} \cdot 3^{11} \cdot 5^{12} \cdot 13 \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1560$	$48$	$0$	$1$	$1$		$1$	$829440$	$2.306587$	$4547226203385942959/10377808593750000$	$0.97064$	$4.85354$	$[1, -1, 0, 310635, -114410075]$	\(y^2+xy=x^3-x^2+310635x-114410075\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.bb.1, 52.12.0-4.c.1.2, $\ldots$	$[]$
56550.bc4	56550t1	56550.bc	56550t	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \cdot 29 \)	\( - 2^{4} \cdot 3^{5} \cdot 5^{18} \cdot 13 \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$1560$	$48$	$0$	$1$	$1$		$1$	$2488320$	$2.562000$	$4547226203385942959/10377808593750000$	$0.97064$	$4.90706$	$[1, 0, 1, 862874, 529388648]$	\(y^2+xy+y=x^3+862874x+529388648\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.2, 40.24.0-40.bb.1.9, $\ldots$	$[]$
90480.cc4	90480ca1	90480.cc	90480ca	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{16} \cdot 3^{5} \cdot 5^{12} \cdot 13 \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$1560$	$48$	$0$	$0.912107770$	$1$		$7$	$2488320$	$2.450428$	$4547226203385942959/10377808593750000$	$0.97064$	$4.58766$	$[0, 1, 0, 552240, -270826092]$	\(y^2=x^3+x^2+552240x-270826092\)	2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.bb.1.10, 78.6.0.?, 156.24.0.?, $\ldots$	$[(546, 13920)]$
147030.h4	147030cm1	147030.h	147030cm	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 29 \)	\( - 2^{4} \cdot 3^{5} \cdot 5^{12} \cdot 13^{7} \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1560$	$48$	$0$	$8.491783935$	$1$		$3$	$17418240$	$3.039757$	$4547226203385942959/10377808593750000$	$0.97064$	$4.99483$	$[1, 1, 0, 5833032, 9305701488]$	\(y^2+xy=x^3+x^2+5833032x+9305701488\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.bb.1, 52.12.0-4.c.1.2, $\ldots$	$[(239192, 116868964)]$
169650.fp4	169650bq1	169650.fp	169650bq	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \)	\( - 2^{4} \cdot 3^{11} \cdot 5^{18} \cdot 13 \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1560$	$48$	$0$	$1$	$9$	$3$	$1$	$19906560$	$3.111305$	$4547226203385942959/10377808593750000$	$0.97064$	$5.00677$	$[1, -1, 1, 7765870, -14293493503]$	\(y^2+xy+y=x^3-x^2+7765870x-14293493503\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 40.12.0.bb.1, 60.12.0-4.c.1.2, $\ldots$	$[]$
271440.cc4	271440cc1	271440.cc	271440cc	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{16} \cdot 3^{11} \cdot 5^{12} \cdot 13 \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1560$	$48$	$0$	$12.86863175$	$1$		$1$	$19906560$	$2.999733$	$4547226203385942959/10377808593750000$	$0.97064$	$4.71168$	$[0, 0, 0, 4970157, 7317274642]$	\(y^2=x^3+4970157x+7317274642\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.bb.1, 52.12.0-4.c.1.1, $\ldots$	$[(16701313/3, 68253705856/3)]$
327990.p4	327990p1	327990.p	327990p	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29^{2} \)	\( - 2^{4} \cdot 3^{5} \cdot 5^{12} \cdot 13 \cdot 29^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$45240$	$48$	$0$	$1$	$1$		$1$	$87091200$	$3.440929$	$4547226203385942959/10377808593750000$	$0.97064$	$5.05833$	$[1, 0, 1, 29027097, 103278467098]$	\(y^2+xy+y=x^3+29027097x+103278467098\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 78.6.0.?, 116.12.0.?, $\ldots$	$[]$
361920.bo4	361920bo1	361920.bo	361920bo	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{22} \cdot 3^{5} \cdot 5^{12} \cdot 13 \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$1560$	$48$	$0$	$19.50150059$	$1$		$1$	$19906560$	$2.797001$	$4547226203385942959/10377808593750000$	$0.97064$	$4.41570$	$[0, -1, 0, 2208959, -2168817695]$	\(y^2=x^3-x^2+2208959x-2168817695\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 40.24.0-40.bb.1.6, 78.6.0.?, $\ldots$	$[(10850246229/3479, 970357531389952/3479)]$
361920.db4	361920db1	361920.db	361920db	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{22} \cdot 3^{5} \cdot 5^{12} \cdot 13 \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$1560$	$48$	$0$	$4.379400012$	$1$		$3$	$19906560$	$2.797001$	$4547226203385942959/10377808593750000$	$0.97064$	$4.41570$	$[0, 1, 0, 2208959, 2168817695]$	\(y^2=x^3+x^2+2208959x+2168817695\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 40.24.0-40.bb.1.14, 78.6.0.?, $\ldots$	$[(15611, 1959936)]$
441090.ed4	441090ed1	441090.ed	441090ed	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 29 \)	\( - 2^{4} \cdot 3^{11} \cdot 5^{12} \cdot 13^{7} \cdot 29^{2} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$1560$	$48$	$0$	$5.334634495$	$1$		$3$	$139345920$	$3.589062$	$4547226203385942959/10377808593750000$	$0.97064$	$5.07979$	$[1, -1, 1, 52497283, -251201442891]$	\(y^2+xy+y=x^3-x^2+52497283x-251201442891\)	2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.bb.1.15, 78.6.0.?, 156.24.0.?, $\ldots$	$[(325927/9, 114196564/9)]$
452400.k4	452400k1	452400.k	452400k	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 29 \)	\( - 2^{16} \cdot 3^{5} \cdot 5^{18} \cdot 13 \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$1560$	$48$	$0$	$1$	$1$		$1$	$59719680$	$3.255146$	$4547226203385942959/10377808593750000$	$0.97064$	$4.76222$	$[0, -1, 0, 13805992, -33880873488]$	\(y^2=x^3-x^2+13805992x-33880873488\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.1, 40.24.0-40.bb.1.1, $\ldots$	$[]$