Elliptic curve search results

Results (17 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
5610.bk1	5610bl2	5610.bk	5610bl	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{7} \cdot 3^{8} \cdot 5^{6} \cdot 11^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$7480$	$12$	$0$	$0.062292259$	$1$		$24$	$21504$	$1.282118$	$88526309511756241/26991954000000$	$0.95697$	$4.52047$	$[1, 0, 0, -9285, 236097]$	\(y^2+xy=x^3-9285x+236097\)	2.3.0.a.1, 136.6.0.?, 220.6.0.?, 7480.12.0.?	$[(-6, 543)]$
16830.b1	16830s2	16830.b	16830s	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{7} \cdot 3^{14} \cdot 5^{6} \cdot 11^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7480$	$12$	$0$	$2.112458901$	$1$		$4$	$172032$	$1.831423$	$88526309511756241/26991954000000$	$0.95697$	$4.68751$	$[1, -1, 0, -83565, -6374619]$	\(y^2+xy=x^3-x^2-83565x-6374619\)	2.3.0.a.1, 136.6.0.?, 220.6.0.?, 7480.12.0.?	$[(-177, 1776)]$
28050.w1	28050p2	28050.w	28050p	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{7} \cdot 3^{8} \cdot 5^{12} \cdot 11^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7480$	$12$	$0$	$3.867399065$	$1$		$2$	$516096$	$2.086838$	$88526309511756241/26991954000000$	$0.95697$	$4.75297$	$[1, 1, 0, -232125, 29512125]$	\(y^2+xy=x^3+x^2-232125x+29512125\)	2.3.0.a.1, 136.6.0.?, 220.6.0.?, 7480.12.0.?	$[(-535, 1230)]$
44880.bg1	44880bs2	44880.bg	44880bs	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{19} \cdot 3^{8} \cdot 5^{6} \cdot 11^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7480$	$12$	$0$	$1.086945531$	$1$		$7$	$516096$	$1.975264$	$88526309511756241/26991954000000$	$0.95697$	$4.41943$	$[0, -1, 0, -148560, -15110208]$	\(y^2=x^3-x^2-148560x-15110208\)	2.3.0.a.1, 136.6.0.?, 220.6.0.?, 7480.12.0.?	$[(-136, 1600)]$
61710.bl1	61710bl2	61710.bl	61710bl	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( 2^{7} \cdot 3^{8} \cdot 5^{6} \cdot 11^{8} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7480$	$12$	$0$	$1.054933821$	$1$		$6$	$2580480$	$2.481064$	$88526309511756241/26991954000000$	$0.95697$	$4.84211$	$[1, 0, 1, -1123488, -315368594]$	\(y^2+xy+y=x^3-1123488x-315368594\)	2.3.0.a.1, 136.6.0.?, 220.6.0.?, 7480.12.0.?	$[(-760, 10362)]$
84150.gu1	84150ew2	84150.gu	84150ew	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{7} \cdot 3^{14} \cdot 5^{12} \cdot 11^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7480$	$12$	$0$	$1.700941703$	$1$		$6$	$4128768$	$2.636143$	$88526309511756241/26991954000000$	$0.95697$	$4.87378$	$[1, -1, 1, -2089130, -798916503]$	\(y^2+xy+y=x^3-x^2-2089130x-798916503\)	2.3.0.a.1, 136.6.0.?, 220.6.0.?, 7480.12.0.?	$[(-721, 18585)]$
95370.ch1	95370bw2	95370.ch	95370bw	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17^{2} \)	\( 2^{7} \cdot 3^{8} \cdot 5^{6} \cdot 11^{2} \cdot 17^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7480$	$12$	$0$	$1$	$1$		$0$	$6193152$	$2.698723$	$88526309511756241/26991954000000$	$0.95697$	$4.88607$	$[1, 1, 1, -2683371, 1162627929]$	\(y^2+xy+y=x^3+x^2-2683371x+1162627929\)	2.3.0.a.1, 136.6.0.?, 220.6.0.?, 7480.12.0.?	$[]$
134640.ck1	134640cl2	134640.ck	134640cl	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{19} \cdot 3^{14} \cdot 5^{6} \cdot 11^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7480$	$12$	$0$	$5.617468665$	$1$		$3$	$4128768$	$2.524570$	$88526309511756241/26991954000000$	$0.95697$	$4.56646$	$[0, 0, 0, -1337043, 409312658]$	\(y^2=x^3-1337043x+409312658\)	2.3.0.a.1, 136.6.0.?, 220.6.0.?, 7480.12.0.?	$[(2446, 108504)]$
179520.d1	179520hs2	179520.d	179520hs	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{25} \cdot 3^{8} \cdot 5^{6} \cdot 11^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7480$	$12$	$0$	$2.047435093$	$1$		$3$	$4128768$	$2.321838$	$88526309511756241/26991954000000$	$0.95697$	$4.25678$	$[0, -1, 0, -594241, 121475905]$	\(y^2=x^3-x^2-594241x+121475905\)	2.3.0.a.1, 136.6.0.?, 220.6.0.?, 7480.12.0.?	$[(1681, 62208)]$
179520.ge1	179520bw2	179520.ge	179520bw	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{25} \cdot 3^{8} \cdot 5^{6} \cdot 11^{2} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7480$	$12$	$0$	$1$	$1$		$1$	$4128768$	$2.321838$	$88526309511756241/26991954000000$	$0.95697$	$4.25678$	$[0, 1, 0, -594241, -121475905]$	\(y^2=x^3+x^2-594241x-121475905\)	2.3.0.a.1, 136.6.0.?, 220.6.0.?, 7480.12.0.?	$[]$
185130.eh1	185130bp2	185130.eh	185130bp	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \)	\( 2^{7} \cdot 3^{14} \cdot 5^{6} \cdot 11^{8} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7480$	$12$	$0$	$1$	$1$		$0$	$20643840$	$3.030373$	$88526309511756241/26991954000000$	$0.95697$	$4.94699$	$[1, -1, 1, -10111388, 8514952031]$	\(y^2+xy+y=x^3-x^2-10111388x+8514952031\)	2.3.0.a.1, 136.6.0.?, 220.6.0.?, 7480.12.0.?	$[]$
224400.eq1	224400bg2	224400.eq	224400bg	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{19} \cdot 3^{8} \cdot 5^{12} \cdot 11^{2} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7480$	$12$	$0$	$1$	$1$		$1$	$12386304$	$2.779984$	$88526309511756241/26991954000000$	$0.95697$	$4.62589$	$[0, 1, 0, -3714008, -1896204012]$	\(y^2=x^3+x^2-3714008x-1896204012\)	2.3.0.a.1, 136.6.0.?, 220.6.0.?, 7480.12.0.?	$[]$
274890.ea1	274890ea2	274890.ea	274890ea	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \)	\( 2^{7} \cdot 3^{8} \cdot 5^{6} \cdot 7^{6} \cdot 11^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7480$	$12$	$0$	$1.921452368$	$1$		$6$	$6193152$	$2.255074$	$88526309511756241/26991954000000$	$0.95697$	$4.04799$	$[1, 1, 1, -454966, -81436237]$	\(y^2+xy+y=x^3+x^2-454966x-81436237\)	2.3.0.a.1, 136.6.0.?, 220.6.0.?, 7480.12.0.?	$[(797, 7539)]$
286110.dl1	286110dl2	286110.dl	286110dl	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \)	\( 2^{7} \cdot 3^{14} \cdot 5^{6} \cdot 11^{2} \cdot 17^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7480$	$12$	$0$	$1$	$1$		$0$	$49545216$	$3.248032$	$88526309511756241/26991954000000$	$0.95697$	$4.98347$	$[1, -1, 0, -24150339, -31415104427]$	\(y^2+xy=x^3-x^2-24150339x-31415104427\)	2.3.0.a.1, 136.6.0.?, 220.6.0.?, 7480.12.0.?	$[]$
308550.fi1	308550fi2	308550.fi	308550fi	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \)	\( 2^{7} \cdot 3^{8} \cdot 5^{12} \cdot 11^{8} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7480$	$12$	$0$	$2.136367289$	$1$		$6$	$61931520$	$3.285786$	$88526309511756241/26991954000000$	$0.95697$	$4.98955$	$[1, 1, 1, -28087188, -39421074219]$	\(y^2+xy+y=x^3+x^2-28087188x-39421074219\)	2.3.0.a.1, 136.6.0.?, 220.6.0.?, 7480.12.0.?	$[(-3195, 134697)]$
476850.db1	476850db2	476850.db	476850db	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( 2^{7} \cdot 3^{8} \cdot 5^{12} \cdot 11^{2} \cdot 17^{7} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7480$	$12$	$0$	$3.048684407$	$1$		$16$	$148635648$	$3.503445$	$88526309511756241/26991954000000$	$0.95697$	$5.02319$	$[1, 0, 1, -67084276, 145462659698]$	\(y^2+xy+y=x^3-67084276x+145462659698\)	2.3.0.a.1, 136.6.0.?, 220.6.0.?, 7480.12.0.?	$[(262, 357506), (7522, 254051)]$
493680.ch1	493680ch2	493680.ch	493680ch	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( 2^{19} \cdot 3^{8} \cdot 5^{6} \cdot 11^{8} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7480$	$12$	$0$	$2.916323868$	$1$		$5$	$61931520$	$3.174213$	$88526309511756241/26991954000000$	$0.95697$	$4.70854$	$[0, -1, 0, -17975800, 20183590000]$	\(y^2=x^3-x^2-17975800x+20183590000\)	2.3.0.a.1, 136.6.0.?, 220.6.0.?, 7480.12.0.?	$[(-150, 151250)]$