Elliptic curves over $\Q$ of conductor 160016

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
160016.a1	160016a2	160016.a	160016a	$2$	$2$	\( 2^{4} \cdot 73 \cdot 137 \)	\( 2^{12} \cdot 73 \cdot 137^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$40004$	$12$	$0$	$1$	$1$		$1$	$2985984$	$2.290043$	$17374804109361438921/482665506294457$	$0.96706$	$4.39115$	$[0, 0, 0, -863347, -301261710]$	\(y^2=x^3-863347x-301261710\)	2.3.0.a.1, 146.6.0.?, 548.6.0.?, 40004.12.0.?	$[]$
160016.a2	160016a1	160016.a	160016a	$2$	$2$	\( 2^{4} \cdot 73 \cdot 137 \)	\( 2^{12} \cdot 73^{2} \cdot 137^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$40004$	$12$	$0$	$1$	$1$		$1$	$1492992$	$1.943470$	$17024594875172176761/13702740137$	$0.94200$	$4.38945$	$[0, 0, 0, -857507, -305635870]$	\(y^2=x^3-857507x-305635870\)	2.3.0.a.1, 274.6.0.?, 292.6.0.?, 40004.12.0.?	$[]$
160016.b1	160016e1	160016.b	160016e	$1$	$1$	\( 2^{4} \cdot 73 \cdot 137 \)	\( - 2^{11} \cdot 73 \cdot 137 \)	$3$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$80008$	$2$	$0$	$1.624435106$	$1$		$22$	$39296$	$0.215717$	$-853915554/10001$	$0.71604$	$2.35416$	$[0, 0, 0, -251, 1546]$	\(y^2=x^3-251x+1546\)	80008.2.0.?	$[(9, 4), (1, 36), (10, 6)]$
160016.c1	160016b1	160016.c	160016b	$1$	$1$	\( 2^{4} \cdot 73 \cdot 137 \)	\( - 2^{17} \cdot 73^{3} \cdot 137 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$80008$	$2$	$0$	$0.228278016$	$4$	$2$	$6$	$155520$	$1.148819$	$792737256375/1705450528$	$0.84890$	$3.06402$	$[0, 0, 0, 3085, 108722]$	\(y^2=x^3+3085x+108722\)	80008.2.0.?	$[(169, 2336)]$
160016.d1	160016c3	160016.d	160016c	$4$	$4$	\( 2^{4} \cdot 73 \cdot 137 \)	\( 2^{14} \cdot 73^{4} \cdot 137 \)	$2$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$80008$	$48$	$0$	$22.16057935$	$1$		$7$	$380928$	$1.495604$	$3087708109600113/15562236068$	$0.89113$	$3.67052$	$[0, 0, 0, -48539, 4098122]$	\(y^2=x^3-48539x+4098122\)	2.3.0.a.1, 4.12.0-4.c.1.1, 274.6.0.?, 548.24.0.?, 584.24.0.?, $\ldots$	$[(109, 320), (12079/9, 305830/9)]$
160016.d2	160016c2	160016.d	160016c	$4$	$4$	\( 2^{4} \cdot 73 \cdot 137 \)	\( 2^{16} \cdot 73^{2} \cdot 137^{2} \)	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$40004$	$48$	$0$	$22.16057935$	$1$		$5$	$190464$	$1.149031$	$2801432090673/1600320016$	$0.93195$	$3.08594$	$[0, 0, 0, -4699, -14070]$	\(y^2=x^3-4699x-14070\)	2.6.0.a.1, 4.12.0-2.a.1.1, 292.24.0.?, 548.24.0.?, 40004.48.0.?	$[(95, 630), (1798/3, 71540/3)]$
160016.d3	160016c1	160016.d	160016c	$4$	$4$	\( 2^{4} \cdot 73 \cdot 137 \)	\( 2^{20} \cdot 73 \cdot 137 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$80008$	$48$	$0$	$22.16057935$	$1$		$5$	$95232$	$0.802456$	$1079098444593/2560256$	$0.82207$	$3.00633$	$[0, 0, 0, -3419, -76790]$	\(y^2=x^3-3419x-76790\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 292.12.0.?, 548.12.0.?, $\ldots$	$[(-33, 10), (39865/24, 1859795/24)]$
160016.d4	160016c4	160016.d	160016c	$4$	$4$	\( 2^{4} \cdot 73 \cdot 137 \)	\( - 2^{14} \cdot 73 \cdot 137^{4} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$80008$	$48$	$0$	$22.16057935$	$1$		$3$	$380928$	$1.495604$	$175456112547087/102864405412$	$0.96228$	$3.43120$	$[0, 0, 0, 18661, -112182]$	\(y^2=x^3+18661x-112182\)	2.3.0.a.1, 4.12.0-4.c.1.2, 292.24.0.?, 1096.24.0.?, 80008.48.0.?	$[(554, 13426), (2319/7, 321210/7)]$
160016.e1	160016d1	160016.e	160016d	$1$	$1$	\( 2^{4} \cdot 73 \cdot 137 \)	\( - 2^{27} \cdot 73 \cdot 137 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$80008$	$2$	$0$	$1$	$4$	$2$	$0$	$201600$	$1.021549$	$-290775390625/327712768$	$0.90622$	$2.98710$	$[0, -1, 0, -2208, -67840]$	\(y^2=x^3-x^2-2208x-67840\)	80008.2.0.?	$[]$