Elliptic curve search results

Results (22 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
6930.c1	6930a1	6930.c	6930a	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{14} \cdot 3^{9} \cdot 5^{4} \cdot 7^{2} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$1$	$1$		$1$	$43008$	$1.707491$	$37537160298467283/5519360000$	$1.00762$	$5.43348$	$[1, -1, 0, -188340, -31409200]$	\(y^2+xy=x^3-x^2-188340x-31409200\)	2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[]$
6930.bj1	6930v1	6930.bj	6930v	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{14} \cdot 3^{3} \cdot 5^{4} \cdot 7^{2} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$0.117040539$	$1$		$17$	$14336$	$1.158184$	$37537160298467283/5519360000$	$1.00762$	$4.68812$	$[1, -1, 1, -20927, 1170279]$	\(y^2+xy+y=x^3-x^2-20927x+1170279\)	2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[(77, 66)]$
34650.w1	34650d1	34650.w	34650d	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{14} \cdot 3^{3} \cdot 5^{10} \cdot 7^{2} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$1$	$1$		$1$	$344064$	$1.962904$	$37537160298467283/5519360000$	$1.00762$	$4.89011$	$[1, -1, 0, -523167, 145761741]$	\(y^2+xy=x^3-x^2-523167x+145761741\)	2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[]$
34650.cu1	34650cm1	34650.cu	34650cm	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{14} \cdot 3^{9} \cdot 5^{10} \cdot 7^{2} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$1$	$1$		$1$	$1032192$	$2.512211$	$37537160298467283/5519360000$	$1.00762$	$5.52071$	$[1, -1, 1, -4708505, -3930858503]$	\(y^2+xy+y=x^3-x^2-4708505x-3930858503\)	2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[]$
48510.bj1	48510j1	48510.bj	48510j	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{14} \cdot 3^{9} \cdot 5^{4} \cdot 7^{8} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$2.984715173$	$1$		$5$	$2064384$	$2.680447$	$37537160298467283/5519360000$	$1.00762$	$5.53565$	$[1, -1, 0, -9228669, 10791812933]$	\(y^2+xy=x^3-x^2-9228669x+10791812933\)	2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[(1787, 1189)]$
48510.dg1	48510ce1	48510.dg	48510ce	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{14} \cdot 3^{3} \cdot 5^{4} \cdot 7^{8} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$1$	$1$		$1$	$688128$	$2.131138$	$37537160298467283/5519360000$	$1.00762$	$4.92472$	$[1, -1, 1, -1025408, -399354973]$	\(y^2+xy+y=x^3-x^2-1025408x-399354973\)	2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[]$
55440.be1	55440bz1	55440.be	55440bz	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{26} \cdot 3^{9} \cdot 5^{4} \cdot 7^{2} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$2.211064291$	$1$		$7$	$1032192$	$2.400639$	$37537160298467283/5519360000$	$1.00762$	$5.16059$	$[0, 0, 0, -3013443, 2013202242]$	\(y^2=x^3-3013443x+2013202242\)	2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[(991, 350)]$
55440.cs1	55440ce1	55440.cs	55440ce	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{26} \cdot 3^{3} \cdot 5^{4} \cdot 7^{2} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$1.915077397$	$1$		$7$	$344064$	$1.851332$	$37537160298467283/5519360000$	$1.00762$	$4.55712$	$[0, 0, 0, -334827, -74563046]$	\(y^2=x^3-334827x-74563046\)	2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[(-337, 30)]$
76230.bw1	76230k1	76230.bw	76230k	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{14} \cdot 3^{3} \cdot 5^{4} \cdot 7^{2} \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$1.404889555$	$1$		$7$	$1720320$	$2.357132$	$37537160298467283/5519360000$	$1.00762$	$4.96795$	$[1, -1, 0, -2532129, -1550045315]$	\(y^2+xy=x^3-x^2-2532129x-1550045315\)	2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[(-921, 37)]$
76230.dg1	76230cv1	76230.dg	76230cv	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{14} \cdot 3^{9} \cdot 5^{4} \cdot 7^{2} \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$1.040092150$	$1$		$9$	$5160960$	$2.906437$	$37537160298467283/5519360000$	$1.00762$	$5.55432$	$[1, -1, 1, -22789163, 41874012667]$	\(y^2+xy+y=x^3-x^2-22789163x+41874012667\)	2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[(3163, 36218)]$
221760.db1	221760hf1	221760.db	221760hf	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{32} \cdot 3^{3} \cdot 5^{4} \cdot 7^{2} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$6.122576171$	$1$		$3$	$2752512$	$2.197906$	$37537160298467283/5519360000$	$1.00762$	$4.38176$	$[0, 0, 0, -1339308, -596504368]$	\(y^2=x^3-1339308x-596504368\)	2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[(9781, 960225)]$
221760.eo1	221760no1	221760.eo	221760no	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{32} \cdot 3^{3} \cdot 5^{4} \cdot 7^{2} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$1$	$1$		$1$	$2752512$	$2.197906$	$37537160298467283/5519360000$	$1.00762$	$4.38176$	$[0, 0, 0, -1339308, 596504368]$	\(y^2=x^3-1339308x+596504368\)	2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[]$
221760.hq1	221760go1	221760.hq	221760go	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{32} \cdot 3^{9} \cdot 5^{4} \cdot 7^{2} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$2.465558327$	$1$		$5$	$8257536$	$2.747211$	$37537160298467283/5519360000$	$1.00762$	$4.91726$	$[0, 0, 0, -12053772, 16105617936]$	\(y^2=x^3-12053772x+16105617936\)	2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[(1932, 5400)]$
221760.nq1	221760mn1	221760.nq	221760mn	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{32} \cdot 3^{9} \cdot 5^{4} \cdot 7^{2} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$1$	$4$	$2$	$1$	$8257536$	$2.747211$	$37537160298467283/5519360000$	$1.00762$	$4.91726$	$[0, 0, 0, -12053772, -16105617936]$	\(y^2=x^3-12053772x-16105617936\)	2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[]$
242550.en1	242550en1	242550.en	242550en	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{14} \cdot 3^{3} \cdot 5^{10} \cdot 7^{8} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$23.26671426$	$1$		$1$	$16515072$	$2.935860$	$37537160298467283/5519360000$	$1.00762$	$5.06430$	$[1, -1, 0, -25635192, -49945006784]$	\(y^2+xy=x^3-x^2-25635192x-49945006784\)	2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[(428033760921/2432, 278811398696267389/2432)]$
242550.il1	242550il1	242550.il	242550il	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{14} \cdot 3^{9} \cdot 5^{10} \cdot 7^{8} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$4.375252440$	$1$		$5$	$49545216$	$3.485165$	$37537160298467283/5519360000$	$1.00762$	$5.59593$	$[1, -1, 1, -230716730, 1348745899897]$	\(y^2+xy+y=x^3-x^2-230716730x+1348745899897\)	2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[(7825, 145991)]$
277200.kk1	277200kk1	277200.kk	277200kk	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{26} \cdot 3^{3} \cdot 5^{10} \cdot 7^{2} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$13.28417513$	$1$		$1$	$8257536$	$2.656052$	$37537160298467283/5519360000$	$1.00762$	$4.74242$	$[0, 0, 0, -8370675, -9320380750]$	\(y^2=x^3-8370675x-9320380750\)	2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[(5611345/36, 8803649575/36)]$
277200.ni1	277200ni1	277200.ni	277200ni	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{26} \cdot 3^{9} \cdot 5^{10} \cdot 7^{2} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$1$	$4$	$2$	$1$	$24772608$	$3.205357$	$37537160298467283/5519360000$	$1.00762$	$5.26839$	$[0, 0, 0, -75336075, 251650280250]$	\(y^2=x^3-75336075x+251650280250\)	2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[]$
381150.ex1	381150ex1	381150.ex	381150ex	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{14} \cdot 3^{9} \cdot 5^{10} \cdot 7^{2} \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$9.679017147$	$1$		$1$	$123863040$	$3.711159$	$37537160298467283/5519360000$	$1.00762$	$5.61014$	$[1, -1, 0, -569729067, 5233681854341]$	\(y^2+xy=x^3-x^2-569729067x+5233681854341\)	2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[(-176090/11, 3277424111/11)]$
381150.nj1	381150nj1	381150.nj	381150nj	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{14} \cdot 3^{3} \cdot 5^{10} \cdot 7^{2} \cdot 11^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$1$	$1$		$1$	$41287680$	$3.161850$	$37537160298467283/5519360000$	$1.00762$	$5.09721$	$[1, -1, 1, -63303230, -193818967603]$	\(y^2+xy+y=x^3-x^2-63303230x-193818967603\)	2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[]$
388080.dq1	388080dq1	388080.dq	388080dq	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{26} \cdot 3^{3} \cdot 5^{4} \cdot 7^{8} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$5.098663392$	$1$		$5$	$16515072$	$2.824287$	$37537160298467283/5519360000$	$1.00762$	$4.77530$	$[0, 0, 0, -16406523, 25575124778]$	\(y^2=x^3-16406523x+25575124778\)	2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[(2311, 1434)]$
388080.of1	388080of1	388080.of	388080of	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{26} \cdot 3^{9} \cdot 5^{4} \cdot 7^{8} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$12.23350555$	$1$		$1$	$49545216$	$3.373592$	$37537160298467283/5519360000$	$1.00762$	$5.28751$	$[0, 0, 0, -147658707, -690528369006]$	\(y^2=x^3-147658707x-690528369006\)	2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[(3625762/13, 5388961690/13)]$