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.ba4	19320bb6	19320.ba	19320bb	$6$	$8$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{11} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.55	2B	$12880$	$192$	$1$	$5.888406775$	$4$	$2$	$3$	$229376$	$2.018654$	$-957928673903042/123339801817575$	$0.99634$	$4.81612$	$[0, 1, 0, -26080, -24244000]$	\(y^2=x^3+x^2-26080x-24244000\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 40.48.0-40.ca.2.3, 56.48.0-56.bl.1.7, $\ldots$	$[(419, 6210)]$
38640.bf4	38640k5	38640.bf	38640k	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{11} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23^{8} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.45	2B	$12880$	$192$	$1$	$5.371032303$	$1$		$5$	$458752$	$2.018654$	$-957928673903042/123339801817575$	$0.99634$	$4.50006$	$[0, -1, 0, -26080, 24244000]$	\(y^2=x^3-x^2-26080x+24244000\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 40.48.0-40.ca.2.7, 56.48.0-56.bl.1.5, $\ldots$	$[(770, 21450)]$
57960.v4	57960r5	57960.v	57960r	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{11} \cdot 3^{8} \cdot 5^{2} \cdot 7 \cdot 23^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$38640$	$192$	$1$	$1$	$1$		$1$	$1835008$	$2.567963$	$-957928673903042/123339801817575$	$0.99634$	$4.93471$	$[0, 0, 0, -234723, 654353278]$	\(y^2=x^3-234723x+654353278\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 24.24.0-8.n.1.10, $\ldots$	$[]$
96600.d4	96600i5	96600.d	96600i	$6$	$8$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{11} \cdot 3^{2} \cdot 5^{8} \cdot 7 \cdot 23^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.94	2B	$12880$	$192$	$1$	$1$	$1$		$1$	$5505024$	$2.823376$	$-957928673903042/123339801817575$	$0.99634$	$4.98212$	$[0, -1, 0, -652008, -3029195988]$	\(y^2=x^3-x^2-652008x-3029195988\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 20.12.0-4.c.1.1, 40.48.0-40.ca.2.8, $\ldots$	$[]$
115920.d4	115920q5	115920.d	115920q	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{11} \cdot 3^{8} \cdot 5^{2} \cdot 7 \cdot 23^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$38640$	$192$	$1$	$1$	$1$		$1$	$3670016$	$2.567963$	$-957928673903042/123339801817575$	$0.99634$	$4.64137$	$[0, 0, 0, -234723, -654353278]$	\(y^2=x^3-234723x-654353278\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 24.24.0-8.n.1.12, $\ldots$	$[]$
135240.e4	135240bs6	135240.e	135240bs	$6$	$8$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{11} \cdot 3^{2} \cdot 5^{2} \cdot 7^{7} \cdot 23^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.96	2B	$12880$	$192$	$1$	$11.39119864$	$1$		$1$	$11010048$	$2.991611$	$-957928673903042/123339801817575$	$0.99634$	$5.01111$	$[0, -1, 0, -1277936, 8313136140]$	\(y^2=x^3-x^2-1277936x+8313136140\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.8, 28.12.0-4.c.1.1, 40.48.0-40.ca.2.12, $\ldots$	$[(66001/4, 17317553/4)]$
154560.by4	154560hp5	154560.by	154560hp	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{17} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.95	2B	$12880$	$192$	$1$	$1$	$4$	$2$	$1$	$3670016$	$2.365231$	$-957928673903042/123339801817575$	$0.99634$	$4.32601$	$[0, -1, 0, -104321, -193847679]$	\(y^2=x^3-x^2-104321x-193847679\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.9, 28.12.0-4.c.1.1, 40.48.0-40.ca.2.5, $\ldots$	$[]$
154560.ek4	154560bx6	154560.ek	154560bx	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{17} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23^{8} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.97	2B	$12880$	$192$	$1$	$2.450640680$	$1$		$15$	$3670016$	$2.365231$	$-957928673903042/123339801817575$	$0.99634$	$4.32601$	$[0, 1, 0, -104321, 193847679]$	\(y^2=x^3+x^2-104321x+193847679\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.11, 28.12.0-4.c.1.2, 40.48.0-40.ca.2.1, $\ldots$	$[(1477, 57132), (511, 16560)]$
193200.hl4	193200ft6	193200.hl	193200ft	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{11} \cdot 3^{2} \cdot 5^{8} \cdot 7 \cdot 23^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.89	2B	$12880$	$192$	$1$	$6.204863543$	$1$		$3$	$11010048$	$2.823376$	$-957928673903042/123339801817575$	$0.99634$	$4.69839$	$[0, 1, 0, -652008, 3029195988]$	\(y^2=x^3+x^2-652008x+3029195988\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.7, 20.12.0-4.c.1.2, 40.48.0-40.ca.2.4, $\ldots$	$[(3303, 192150)]$
270480.gv4	270480gv5	270480.gv	270480gv	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{11} \cdot 3^{2} \cdot 5^{2} \cdot 7^{7} \cdot 23^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.98	2B	$12880$	$192$	$1$	$1$	$1$		$1$	$22020096$	$2.991611$	$-957928673903042/123339801817575$	$0.99634$	$4.73341$	$[0, 1, 0, -1277936, -8313136140]$	\(y^2=x^3+x^2-1277936x-8313136140\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.4, 28.12.0-4.c.1.2, 40.48.0-40.ca.2.16, $\ldots$	$[]$
289800.cf4	289800cf6	289800.cf	289800cf	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{11} \cdot 3^{8} \cdot 5^{8} \cdot 7 \cdot 23^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$38640$	$192$	$1$	$17.82316316$	$1$		$1$	$44040192$	$3.372681$	$-957928673903042/123339801817575$	$0.99634$	$5.07103$	$[0, 0, 0, -5868075, 81794159750]$	\(y^2=x^3-5868075x+81794159750\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0-8.n.1.3, 40.24.0.ca.2, $\ldots$	$[(5876254/155, 1055726933742/155)]$
405720.gr4	405720gr5	405720.gr	405720gr	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{11} \cdot 3^{8} \cdot 5^{2} \cdot 7^{7} \cdot 23^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$38640$	$192$	$1$	$11.80925770$	$1$		$1$	$88080384$	$3.540916$	$-957928673903042/123339801817575$	$0.99634$	$5.09524$	$[0, 0, 0, -11501427, -224443174354]$	\(y^2=x^3-11501427x-224443174354\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0-8.n.1.2, 40.24.0.ca.2, $\ldots$	$[(31430242/21, 175952065400/21)]$
444360.bm4	444360bm6	444360.bm	444360bm	$6$	$8$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23^{2} \)	\( - 2^{11} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23^{14} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.9	2B	$12880$	$192$	$1$	$1$	$16$	$2$	$1$	$121110528$	$3.586403$	$-957928673903042/123339801817575$	$0.99634$	$5.10157$	$[0, 1, 0, -13796496, 294866376480]$	\(y^2=x^3+x^2-13796496x+294866376480\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.4, 40.24.0.ca.2, $\ldots$	$[]$
463680.ko4	463680ko5	463680.ko	463680ko	$6$	$8$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{17} \cdot 3^{8} \cdot 5^{2} \cdot 7 \cdot 23^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$38640$	$192$	$1$	$1$	$4$	$2$	$1$	$29360128$	$2.914536$	$-957928673903042/123339801817575$	$0.99634$	$4.46697$	$[0, 0, 0, -938892, -5234826224]$	\(y^2=x^3-938892x-5234826224\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0-8.n.1.9, 40.24.0.ca.2, $\ldots$	$[]$
463680.ln4	463680ln6	463680.ln	463680ln	$6$	$8$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{17} \cdot 3^{8} \cdot 5^{2} \cdot 7 \cdot 23^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$38640$	$192$	$1$	$2.742129621$	$1$		$3$	$29360128$	$2.914536$	$-957928673903042/123339801817575$	$0.99634$	$4.46697$	$[0, 0, 0, -938892, 5234826224]$	\(y^2=x^3-938892x+5234826224\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0-8.n.1.11, 40.24.0.ca.2, $\ldots$	$[(6548, 529000)]$