Elliptic curve search results

Results (9 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
10005.m1	10005j1	10005.m	10005j	$2$	$2$	\( 3 \cdot 5 \cdot 23 \cdot 29 \)	\( 3^{3} \cdot 5^{2} \cdot 23 \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$40020$	$12$	$0$	$1.420687301$	$1$		$3$	$1728$	$0.132029$	$5763259856089/450225$	$0.85441$	$3.18999$	$[1, 0, 1, -374, 2747]$	\(y^2+xy+y=x^3-374x+2747\)	2.3.0.a.1, 20.6.0.b.1, 4002.6.0.?, 40020.12.0.?	$[(15, 16)]$
30015.d1	30015m1	30015.d	30015m	$2$	$2$	\( 3^{2} \cdot 5 \cdot 23 \cdot 29 \)	\( 3^{9} \cdot 5^{2} \cdot 23 \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$40020$	$12$	$0$	$1$	$1$		$1$	$13824$	$0.681335$	$5763259856089/450225$	$0.85441$	$3.48944$	$[1, -1, 1, -3362, -74176]$	\(y^2+xy+y=x^3-x^2-3362x-74176\)	2.3.0.a.1, 20.6.0.b.1, 4002.6.0.?, 40020.12.0.?	$[]$
50025.c1	50025g1	50025.c	50025g	$2$	$2$	\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \)	\( 3^{3} \cdot 5^{8} \cdot 23 \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$40020$	$12$	$0$	$2.491227390$	$1$		$5$	$41472$	$0.936749$	$5763259856089/450225$	$0.85441$	$3.60796$	$[1, 1, 1, -9338, 343406]$	\(y^2+xy+y=x^3+x^2-9338x+343406\)	2.3.0.a.1, 20.6.0.b.1, 4002.6.0.?, 40020.12.0.?	$[(56, -22)]$
150075.bj1	150075bj1	150075.bj	150075bj	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 23 \cdot 29 \)	\( 3^{9} \cdot 5^{8} \cdot 23 \cdot 29 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$40020$	$12$	$0$	$25.79457893$	$1$		$3$	$331776$	$1.486053$	$5763259856089/450225$	$0.85441$	$3.82845$	$[1, -1, 0, -84042, -9356009]$	\(y^2+xy=x^3-x^2-84042x-9356009\)	2.3.0.a.1, 20.6.0.b.1, 4002.6.0.?, 40020.12.0.?	$[(734, 17633), (35601/8, 5366971/8)]$
160080.l1	160080bx1	160080.l	160080bx	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \cdot 29 \)	\( 2^{12} \cdot 3^{3} \cdot 5^{2} \cdot 23 \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$40020$	$12$	$0$	$1$	$1$		$1$	$110592$	$0.825176$	$5763259856089/450225$	$0.85441$	$3.14604$	$[0, -1, 0, -5976, -175824]$	\(y^2=x^3-x^2-5976x-175824\)	2.3.0.a.1, 20.6.0.b.1, 4002.6.0.?, 40020.12.0.?	$[]$
230115.y1	230115y1	230115.y	230115y	$2$	$2$	\( 3 \cdot 5 \cdot 23^{2} \cdot 29 \)	\( 3^{3} \cdot 5^{2} \cdot 23^{7} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$40020$	$12$	$0$	$18.57583033$	$1$		$1$	$912384$	$1.699776$	$5763259856089/450225$	$0.85441$	$3.90363$	$[1, 0, 1, -197593, -33820969]$	\(y^2+xy+y=x^3-197593x-33820969\)	2.3.0.a.1, 20.6.0.b.1, 4002.6.0.?, 40020.12.0.?	$[(114749781/89, 1223533104941/89)]$
290145.f1	290145f1	290145.f	290145f	$2$	$2$	\( 3 \cdot 5 \cdot 23 \cdot 29^{2} \)	\( 3^{3} \cdot 5^{2} \cdot 23 \cdot 29^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$40020$	$12$	$0$	$5.728034485$	$1$		$3$	$1451520$	$1.815678$	$5763259856089/450225$	$0.85441$	$3.94226$	$[1, 1, 1, -314131, 67630928]$	\(y^2+xy+y=x^3+x^2-314131x+67630928\)	2.3.0.a.1, 20.6.0.b.1, 4002.6.0.?, 40020.12.0.?	$[(-284, 11719)]$
480240.do1	480240do1	480240.do	480240do	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \)	\( 2^{12} \cdot 3^{9} \cdot 5^{2} \cdot 23 \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$40020$	$12$	$0$	$1$	$1$		$1$	$884736$	$1.374483$	$5763259856089/450225$	$0.85441$	$3.38571$	$[0, 0, 0, -53787, 4801034]$	\(y^2=x^3-53787x+4801034\)	2.3.0.a.1, 20.6.0.b.1, 4002.6.0.?, 40020.12.0.?	$[]$
490245.bq1	490245bq1	490245.bq	490245bq	$2$	$2$	\( 3 \cdot 5 \cdot 7^{2} \cdot 23 \cdot 29 \)	\( 3^{3} \cdot 5^{2} \cdot 7^{6} \cdot 23 \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$40020$	$12$	$0$	$1$	$4$	$2$	$1$	$663552$	$1.104984$	$5763259856089/450225$	$0.85441$	$3.13356$	$[1, 1, 0, -18302, -960609]$	\(y^2+xy=x^3+x^2-18302x-960609\)	2.3.0.a.1, 20.6.0.b.1, 4002.6.0.?, 40020.12.0.?	$[]$