Elliptic curve search results

Results (15 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
19320.y3	19320ba2	19320.y	19320ba	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{10} \cdot 3^{4} \cdot 5^{4} \cdot 7^{2} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$1288$	$48$	$0$	$0.986373436$	$1$		$11$	$40960$	$1.146673$	$134555337776164/1312250625$	$0.90465$	$3.99887$	$[0, 1, 0, -10760, 422400]$	\(y^2=x^3+x^2-10760x+422400\)	2.6.0.a.1, 4.12.0-2.a.1.1, 28.24.0-28.b.1.1, 184.24.0.?, 1288.48.0.?	$[(-5, 690)]$
38640.bj3	38640m2	38640.bj	38640m	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{10} \cdot 3^{4} \cdot 5^{4} \cdot 7^{2} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$1288$	$48$	$0$	$1.448252812$	$1$		$11$	$81920$	$1.146673$	$134555337776164/1312250625$	$0.90465$	$3.73644$	$[0, -1, 0, -10760, -422400]$	\(y^2=x^3-x^2-10760x-422400\)	2.6.0.a.1, 4.12.0-2.a.1.1, 28.24.0-28.b.1.2, 184.24.0.?, 1288.48.0.?	$[(-60, 60)]$
57960.b3	57960k2	57960.b	57960k	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{10} \cdot 3^{10} \cdot 5^{4} \cdot 7^{2} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$3864$	$48$	$0$	$1$	$1$		$3$	$327680$	$1.695978$	$134555337776164/1312250625$	$0.90465$	$4.19933$	$[0, 0, 0, -96843, -11501642]$	\(y^2=x^3-96843x-11501642\)	2.6.0.a.1, 12.12.0-2.a.1.1, 28.12.0.b.1, 84.24.0.?, 184.12.0.?, $\ldots$	$[]$
96600.bk3	96600p2	96600.bk	96600p	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{10} \cdot 3^{4} \cdot 5^{10} \cdot 7^{2} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$6440$	$48$	$0$	$1$	$1$		$3$	$983040$	$1.951391$	$134555337776164/1312250625$	$0.90465$	$4.27946$	$[0, -1, 0, -269008, 53338012]$	\(y^2=x^3-x^2-269008x+53338012\)	2.6.0.a.1, 20.12.0-2.a.1.1, 28.12.0.b.1, 140.24.0.?, 184.12.0.?, $\ldots$	$[]$
115920.cd3	115920bc2	115920.cd	115920bc	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{10} \cdot 3^{10} \cdot 5^{4} \cdot 7^{2} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$3864$	$48$	$0$	$1$	$1$		$3$	$655360$	$1.695978$	$134555337776164/1312250625$	$0.90465$	$3.94970$	$[0, 0, 0, -96843, 11501642]$	\(y^2=x^3-96843x+11501642\)	2.6.0.a.1, 12.12.0-2.a.1.1, 28.12.0.b.1, 84.24.0.?, 184.12.0.?, $\ldots$	$[]$
135240.o3	135240by2	135240.o	135240by	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{10} \cdot 3^{4} \cdot 5^{4} \cdot 7^{8} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$1288$	$48$	$0$	$1$	$4$	$2$	$3$	$1966080$	$2.119629$	$134555337776164/1312250625$	$0.90465$	$4.32846$	$[0, -1, 0, -527256, -145937700]$	\(y^2=x^3-x^2-527256x-145937700\)	2.6.0.a.1, 4.12.0-2.a.1.1, 28.24.0-28.b.1.1, 184.24.0.?, 1288.48.0.?	$[]$
154560.e3	154560hu2	154560.e	154560hu	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{16} \cdot 3^{4} \cdot 5^{4} \cdot 7^{2} \cdot 23^{2} \)	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$1288$	$48$	$0$	$3.937521956$	$1$		$23$	$655360$	$1.493246$	$134555337776164/1312250625$	$0.90465$	$3.65100$	$[0, -1, 0, -43041, 3422241]$	\(y^2=x^3-x^2-43041x+3422241\)	2.6.0.a.1, 8.12.0-2.a.1.1, 28.12.0.b.1, 56.24.0-28.b.1.1, 92.12.0.?, $\ldots$	$[(83, 644), (273, 3456)]$
154560.gc3	154560br2	154560.gc	154560br	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{16} \cdot 3^{4} \cdot 5^{4} \cdot 7^{2} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$1288$	$48$	$0$	$1$	$1$		$3$	$655360$	$1.493246$	$134555337776164/1312250625$	$0.90465$	$3.65100$	$[0, 1, 0, -43041, -3422241]$	\(y^2=x^3+x^2-43041x-3422241\)	2.6.0.a.1, 8.12.0-2.a.1.1, 28.12.0.b.1, 56.24.0-28.b.1.2, 92.12.0.?, $\ldots$	$[]$
193200.dw3	193200fw2	193200.dw	193200fw	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{10} \cdot 3^{4} \cdot 5^{10} \cdot 7^{2} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$6440$	$48$	$0$	$2.465627208$	$1$		$9$	$1966080$	$1.951391$	$134555337776164/1312250625$	$0.90465$	$4.03575$	$[0, 1, 0, -269008, -53338012]$	\(y^2=x^3+x^2-269008x-53338012\)	2.6.0.a.1, 20.12.0-2.a.1.1, 28.12.0.b.1, 140.24.0.?, 184.12.0.?, $\ldots$	$[(-298, 672)]$
270480.fd3	270480fd2	270480.fd	270480fd	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{10} \cdot 3^{4} \cdot 5^{4} \cdot 7^{8} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$1288$	$48$	$0$	$1.224698471$	$1$		$15$	$3932160$	$2.119629$	$134555337776164/1312250625$	$0.90465$	$4.08859$	$[0, 1, 0, -527256, 145937700]$	\(y^2=x^3+x^2-527256x+145937700\)	2.6.0.a.1, 4.12.0-2.a.1.1, 28.24.0-28.b.1.2, 184.24.0.?, 1288.48.0.?	$[(534, 4116)]$
289800.cs3	289800cs2	289800.cs	289800cs	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{10} \cdot 3^{10} \cdot 5^{10} \cdot 7^{2} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$19320$	$48$	$0$	$5.356576860$	$1$		$7$	$7864320$	$2.500698$	$134555337776164/1312250625$	$0.90465$	$4.42975$	$[0, 0, 0, -2421075, -1437705250]$	\(y^2=x^3-2421075x-1437705250\)	2.6.0.a.1, 28.12.0.b.1, 60.12.0-2.a.1.1, 184.12.0.?, 420.24.0.?, $\ldots$	$[(1979, 39008)]$
405720.dy3	405720dy2	405720.dy	405720dy	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{10} \cdot 3^{10} \cdot 5^{4} \cdot 7^{8} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$3864$	$48$	$0$	$1$	$1$		$3$	$15728640$	$2.668934$	$134555337776164/1312250625$	$0.90465$	$4.47067$	$[0, 0, 0, -4745307, 3945063206]$	\(y^2=x^3-4745307x+3945063206\)	2.6.0.a.1, 12.12.0-2.a.1.1, 28.12.0.b.1, 84.24.0.?, 184.12.0.?, $\ldots$	$[]$
444360.bs3	444360bs2	444360.bs	444360bs	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23^{2} \)	\( 2^{10} \cdot 3^{4} \cdot 5^{4} \cdot 7^{2} \cdot 23^{8} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$1288$	$48$	$0$	$12.65123062$	$1$		$3$	$21626880$	$2.714420$	$134555337776164/1312250625$	$0.90465$	$4.48137$	$[0, 1, 0, -5692216, -5184878080]$	\(y^2=x^3+x^2-5692216x-5184878080\)	2.6.0.a.1, 8.12.0-2.a.1.1, 28.12.0.b.1, 56.24.0-28.b.1.4, 92.12.0.?, $\ldots$	$[(59233784/35, 455322843648/35)]$
463680.kk3	463680kk2	463680.kk	463680kk	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{16} \cdot 3^{10} \cdot 5^{4} \cdot 7^{2} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$3864$	$48$	$0$	$3.470538032$	$1$		$7$	$5242880$	$2.042553$	$134555337776164/1312250625$	$0.90465$	$3.84879$	$[0, 0, 0, -387372, -92013136]$	\(y^2=x^3-387372x-92013136\)	2.6.0.a.1, 24.12.0-2.a.1.1, 28.12.0.b.1, 168.24.0.?, 184.12.0.?, $\ldots$	$[(1348, 42840)]$
463680.lh3	463680lh2	463680.lh	463680lh	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{16} \cdot 3^{10} \cdot 5^{4} \cdot 7^{2} \cdot 23^{2} \)	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$3864$	$48$	$0$	$3.124521576$	$1$		$25$	$5242880$	$2.042553$	$134555337776164/1312250625$	$0.90465$	$3.84879$	$[0, 0, 0, -387372, 92013136]$	\(y^2=x^3-387372x+92013136\)	2.6.0.a.1, 24.12.0-2.a.1.1, 28.12.0.b.1, 168.24.0.?, 184.12.0.?, $\ldots$	$[(402, 1120), (290, 2016)]$