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.a1	5610c2	5610.a	5610c	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{13} \cdot 3^{2} \cdot 5^{10} \cdot 11^{4} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$2040$	$12$	$0$	$1$	$1$		$0$	$99840$	$2.163605$	$41125104693338423360329/179205840000000000$	$1.00096$	$6.03210$	$[1, 1, 0, -719108, -234128688]$	\(y^2+xy=x^3+x^2-719108x-234128688\)	2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.?	$[]$
16830.cf1	16830cv2	16830.cf	16830cv	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{13} \cdot 3^{8} \cdot 5^{10} \cdot 11^{4} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$0.078594783$	$1$		$24$	$798720$	$2.712910$	$41125104693338423360329/179205840000000000$	$1.00096$	$6.02847$	$[1, -1, 1, -6471977, 6315002601]$	\(y^2+xy+y=x^3-x^2-6471977x+6315002601\)	2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.?	$[(1271, 11244)]$
28050.dj1	28050cz2	28050.dj	28050cz	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{13} \cdot 3^{2} \cdot 5^{16} \cdot 11^{4} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$2.798121153$	$1$		$2$	$2396160$	$2.968323$	$41125104693338423360329/179205840000000000$	$1.00096$	$6.02705$	$[1, 0, 0, -17977713, -29230130583]$	\(y^2+xy=x^3-17977713x-29230130583\)	2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.?	$[(-2358, 8379)]$
44880.cf1	44880cq2	44880.cf	44880cq	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{25} \cdot 3^{2} \cdot 5^{10} \cdot 11^{4} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$6.299673567$	$1$		$1$	$2396160$	$2.856750$	$41125104693338423360329/179205840000000000$	$1.00096$	$5.63761$	$[0, 1, 0, -11505736, 14961224564]$	\(y^2=x^3+x^2-11505736x+14961224564\)	2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.?	$[(9053/2, 182259/2)]$
61710.bt1	61710bp2	61710.bt	61710bp	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( 2^{13} \cdot 3^{2} \cdot 5^{10} \cdot 11^{10} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$1.709608538$	$1$		$6$	$11980800$	$3.362553$	$41125104693338423360329/179205840000000000$	$1.00096$	$6.02512$	$[1, 1, 1, -87012131, 311190223169]$	\(y^2+xy+y=x^3+x^2-87012131x+311190223169\)	2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.?	$[(6111, 84790)]$
84150.cu1	84150cr2	84150.cu	84150cr	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{13} \cdot 3^{8} \cdot 5^{16} \cdot 11^{4} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$1$	$1$		$0$	$19169280$	$3.517628$	$41125104693338423360329/179205840000000000$	$1.00096$	$6.02443$	$[1, -1, 0, -161799417, 789213525741]$	\(y^2+xy=x^3-x^2-161799417x+789213525741\)	2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.?	$[]$
95370.bq1	95370bs2	95370.bq	95370bs	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17^{2} \)	\( 2^{13} \cdot 3^{2} \cdot 5^{10} \cdot 11^{4} \cdot 17^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$1$	$1$		$0$	$28753920$	$3.580212$	$41125104693338423360329/179205840000000000$	$1.00096$	$6.02417$	$[1, 0, 1, -207822363, -1148819487962]$	\(y^2+xy+y=x^3-207822363x-1148819487962\)	2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.?	$[]$
134640.fa1	134640bj2	134640.fa	134640bj	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{25} \cdot 3^{8} \cdot 5^{10} \cdot 11^{4} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$1$	$1$		$1$	$19169280$	$3.406059$	$41125104693338423360329/179205840000000000$	$1.00096$	$5.67132$	$[0, 0, 0, -103551627, -404056614854]$	\(y^2=x^3-103551627x-404056614854\)	2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.?	$[]$
179520.dt1	179520dc2	179520.dt	179520dc	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{31} \cdot 3^{2} \cdot 5^{10} \cdot 11^{4} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$1$	$1$		$1$	$19169280$	$3.203327$	$41125104693338423360329/179205840000000000$	$1.00096$	$5.33537$	$[0, -1, 0, -46022945, 119735819457]$	\(y^2=x^3-x^2-46022945x+119735819457\)	2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.?	$[]$
179520.gs1	179520em2	179520.gs	179520em	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{31} \cdot 3^{2} \cdot 5^{10} \cdot 11^{4} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$4.419394808$	$1$		$5$	$19169280$	$3.203327$	$41125104693338423360329/179205840000000000$	$1.00096$	$5.33537$	$[0, 1, 0, -46022945, -119735819457]$	\(y^2=x^3+x^2-46022945x-119735819457\)	2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.?	$[(-3774, 14685)]$
185130.cr1	185130do2	185130.cr	185130do	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \)	\( 2^{13} \cdot 3^{8} \cdot 5^{10} \cdot 11^{10} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$6.129514100$	$1$		$2$	$95846400$	$3.911858$	$41125104693338423360329/179205840000000000$	$1.00096$	$6.02284$	$[1, -1, 0, -783109179, -8402919134747]$	\(y^2+xy=x^3-x^2-783109179x-8402919134747\)	2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.?	$[(182867, 77132279)]$
224400.bo1	224400er2	224400.bo	224400er	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{25} \cdot 3^{2} \cdot 5^{16} \cdot 11^{4} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$2.580319389$	$1$		$7$	$57507840$	$3.661472$	$41125104693338423360329/179205840000000000$	$1.00096$	$5.68495$	$[0, -1, 0, -287643408, 1870728357312]$	\(y^2=x^3-x^2-287643408x+1870728357312\)	2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.?	$[(9176, 61952)]$
274890.cn1	274890cn2	274890.cn	274890cn	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \)	\( 2^{13} \cdot 3^{2} \cdot 5^{10} \cdot 7^{6} \cdot 11^{4} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$1$	$1$		$0$	$35942400$	$3.136559$	$41125104693338423360329/179205840000000000$	$1.00096$	$5.08989$	$[1, 0, 1, -35236318, 80200431056]$	\(y^2+xy+y=x^3-35236318x+80200431056\)	2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.?	$[]$
286110.ex1	286110ex2	286110.ex	286110ex	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \)	\( 2^{13} \cdot 3^{8} \cdot 5^{10} \cdot 11^{4} \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$2.383767699$	$1$		$6$	$230031360$	$4.129517$	$41125104693338423360329/179205840000000000$	$1.00096$	$6.02205$	$[1, -1, 1, -1870401263, 31018126174967]$	\(y^2+xy+y=x^3-x^2-1870401263x+31018126174967\)	2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.?	$[(21363, 889318)]$
308550.dp1	308550dp2	308550.dp	308550dp	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \)	\( 2^{13} \cdot 3^{2} \cdot 5^{16} \cdot 11^{10} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$1$	$9$	$3$	$0$	$287539200$	$4.167274$	$41125104693338423360329/179205840000000000$	$1.00096$	$6.02192$	$[1, 0, 1, -2175303276, 38903128502698]$	\(y^2+xy+y=x^3-2175303276x+38903128502698\)	2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.?	$[]$
476850.gq1	476850gq2	476850.gq	476850gq	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( 2^{13} \cdot 3^{2} \cdot 5^{16} \cdot 11^{4} \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$2.202442181$	$1$		$6$	$690094080$	$4.384933$	$41125104693338423360329/179205840000000000$	$1.00096$	$6.02119$	$[1, 1, 1, -5195559063, -143602435995219]$	\(y^2+xy+y=x^3+x^2-5195559063x-143602435995219\)	2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.?	$[(-43485, 339642)]$
493680.ef1	493680ef2	493680.ef	493680ef	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( 2^{25} \cdot 3^{2} \cdot 5^{10} \cdot 11^{10} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$1$	$4$	$2$	$1$	$287539200$	$4.055702$	$41125104693338423360329/179205840000000000$	$1.00096$	$5.70390$	$[0, 1, 0, -1392194096, -19918958671020]$	\(y^2=x^3+x^2-1392194096x-19918958671020\)	2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.?	$[]$