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
10626.p1	10626r5	10626.p	10626r	$6$	$8$	\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 23 \)	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11^{4} \cdot 23^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.96.0.164	2B	$368$	$192$	$1$	$1$	$16$	$2$	$0$	$819200$	$2.965595$	$36136672427711016379227705697/1011258101510224722$	$1.02635$	$7.09273$	$[1, 0, 0, -68877094, -220024810702]$	\(y^2+xy=x^3-68877094x-220024810702\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.96.0-8.p.1.4, 368.192.1.?	$[]$
31878.u1	31878v6	31878.u	31878v	$6$	$8$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11 \cdot 23 \)	\( 2 \cdot 3^{8} \cdot 7^{2} \cdot 11^{4} \cdot 23^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.217	2B	$1104$	$192$	$1$	$1.285097351$	$1$		$4$	$6553600$	$3.514900$	$36136672427711016379227705697/1011258101510224722$	$1.02635$	$6.97696$	$[1, -1, 0, -619893846, 5940669888954]$	\(y^2+xy=x^3-x^2-619893846x+5940669888954\)	2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 12.12.0-4.c.1.1, 24.96.0-8.p.1.1, $\ldots$	$[(17683, 703986)]$
74382.bg1	74382x6	74382.bg	74382x	$6$	$8$	\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 23 \)	\( 2 \cdot 3^{2} \cdot 7^{8} \cdot 11^{4} \cdot 23^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.217	2B	$2576$	$192$	$1$	$16.53534850$	$1$		$0$	$39321600$	$3.938549$	$36136672427711016379227705697/1011258101510224722$	$1.02635$	$6.90316$	$[1, 1, 1, -3374977607, 75465135093179]$	\(y^2+xy+y=x^3+x^2-3374977607x+75465135093179\)	2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 28.12.0-4.c.1.1, 56.96.0-8.p.1.1, $\ldots$	$[(-291130821/74, 4155724614881/74)]$
85008.f1	85008bm6	85008.f	85008bm	$6$	$8$	\( 2^{4} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \)	\( 2^{13} \cdot 3^{2} \cdot 7^{2} \cdot 11^{4} \cdot 23^{8} \)	$0$	$\Z/8\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.96.0.157	2B	$368$	$192$	$1$	$1$	$1$		$7$	$19660800$	$3.658741$	$36136672427711016379227705697/1011258101510224722$	$1.02635$	$6.52613$	$[0, -1, 0, -1102033504, 14081587884928]$	\(y^2=x^3-x^2-1102033504x+14081587884928\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.96.0-8.p.1.2, 368.192.1.?	$[]$
116886.m1	116886l6	116886.m	116886l	$6$	$8$	\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \)	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11^{10} \cdot 23^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.217	2B	$4048$	$192$	$1$	$19.45167379$	$1$		$0$	$98304000$	$4.164543$	$36136672427711016379227705697/1011258101510224722$	$1.02635$	$6.86818$	$[1, 0, 1, -8334128377, 292844688915986]$	\(y^2+xy+y=x^3-8334128377x+292844688915986\)	2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 44.12.0-4.c.1.1, 88.96.0.?, $\ldots$	$[(11660563519/470, 533423132707/470)]$
223146.o1	223146cq6	223146.o	223146cq	$6$	$8$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 23 \)	\( 2 \cdot 3^{8} \cdot 7^{8} \cdot 11^{4} \cdot 23^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.217	2B	$7728$	$192$	$1$	$7.381635204$	$1$		$0$	$314572800$	$4.487854$	$36136672427711016379227705697/1011258101510224722$	$1.02635$	$6.82260$	$[1, -1, 0, -30374798463, -2037589022314301]$	\(y^2+xy=x^3-x^2-30374798463x-2037589022314301\)	2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 84.12.0.?, 168.96.0.?, $\ldots$	$[(5881005/4, 12208097257/4)]$
244398.bq1	244398bq5	244398.bq	244398bq	$6$	$8$	\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 23^{2} \)	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11^{4} \cdot 23^{14} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.96.0.245	2B	$368$	$192$	$1$	$26.94509950$	$1$		$0$	$432537600$	$4.533340$	$36136672427711016379227705697/1011258101510224722$	$1.02635$	$6.81656$	$[1, 0, 0, -36435982737, 2676968999845767]$	\(y^2+xy=x^3-36435982737x+2676968999845767\)	2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 16.96.0-8.p.1.2, 92.12.0.?, $\ldots$	$[(1119879104379/1898, 998985371502007059/1898)]$
255024.ec1	255024ec6	255024.ec	255024ec	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 23 \)	\( 2^{13} \cdot 3^{8} \cdot 7^{2} \cdot 11^{4} \cdot 23^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.217	2B	$1104$	$192$	$1$	$66.65953879$	$1$		$1$	$157286400$	$4.208046$	$36136672427711016379227705697/1011258101510224722$	$1.02635$	$6.47970$	$[0, 0, 0, -9918301539, -380192954591518]$	\(y^2=x^3-9918301539x-380192954591518\)	2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 12.12.0-4.c.1.2, 24.96.0-8.p.1.2, $\ldots$	$[(374441375055056232846070774591/1668910579765, 124392439187752659452660332981297690109027514/1668910579765)]$
265650.r1	265650r6	265650.r	265650r	$6$	$8$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 23 \)	\( 2 \cdot 3^{2} \cdot 5^{6} \cdot 7^{2} \cdot 11^{4} \cdot 23^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.217	2B	$1840$	$192$	$1$	$1$	$1$		$0$	$104857600$	$3.770313$	$36136672427711016379227705697/1011258101510224722$	$1.02635$	$6.03796$	$[1, 1, 0, -1721927350, -27503101337750]$	\(y^2+xy=x^3+x^2-1721927350x-27503101337750\)	2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 20.12.0-4.c.1.1, 40.96.0-8.p.1.4, $\ldots$	$[]$
340032.cv1	340032cv6	340032.cv	340032cv	$6$	$8$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \)	\( 2^{19} \cdot 3^{2} \cdot 7^{2} \cdot 11^{4} \cdot 23^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.96.0.168	2B	$368$	$192$	$1$	$17.06584878$	$1$		$1$	$157286400$	$4.005318$	$36136672427711016379227705697/1011258101510224722$	$1.02635$	$6.14234$	$[0, -1, 0, -4408134017, -112648294945407]$	\(y^2=x^3-x^2-4408134017x-112648294945407\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.96.0-8.p.1.1, 368.192.1.?	$[(-2473345667/254, 4421813305/254)]$
340032.fu1	340032fu5	340032.fu	340032fu	$6$	$8$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \)	\( 2^{19} \cdot 3^{2} \cdot 7^{2} \cdot 11^{4} \cdot 23^{8} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.96.0.161	2B	$368$	$192$	$1$	$1$	$4$	$2$	$3$	$157286400$	$4.005318$	$36136672427711016379227705697/1011258101510224722$	$1.02635$	$6.14234$	$[0, 1, 0, -4408134017, 112648294945407]$	\(y^2=x^3+x^2-4408134017x+112648294945407\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.96.0-8.p.1.3, 368.192.1.?	$[]$
350658.dx1	350658dx6	350658.dx	350658dx	$6$	$8$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 23 \)	\( 2 \cdot 3^{8} \cdot 7^{2} \cdot 11^{10} \cdot 23^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.217	2B	$12144$	$192$	$1$	$115.0078241$	$1$		$0$	$786432000$	$4.713852$	$36136672427711016379227705697/1011258101510224722$	$1.02635$	$6.79348$	$[1, -1, 1, -75007155389, -7906806600731629]$	\(y^2+xy+y=x^3-x^2-75007155389x-7906806600731629\)	2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 132.12.0.?, 264.96.0.?, $\ldots$	$[(241873175095506445072691380374106819703938048771215/12274379482909914780514, 3701402199209562209733220161311363280541095581873006724184399670530117615963/12274379482909914780514)]$