Elliptic curves over $\Q$ of conductor 160

Results (4 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
160.a1	160a1	160.a	160a	$2$	$2$	\( 2^{5} \cdot 5 \)	\( 2^{6} \cdot 5 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.22	2B	$40$	$48$	$0$	$0.358692903$	$1$		$7$	$8$	$-0.706045$	$438976/5$	$0.87813$	$3.37941$	$[0, 1, 0, -6, 4]$	\(y^2=x^3+x^2-6x+4\)	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 10.6.0.a.1, 20.12.0.e.1, $\ldots$	$[(0, 2)]$
160.a2	160a2	160.a	160a	$2$	$2$	\( 2^{5} \cdot 5 \)	\( - 2^{12} \cdot 5^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.37	2B	$40$	$48$	$0$	$0.179346451$	$1$		$13$	$16$	$-0.359471$	$-64/25$	$1.09219$	$3.74230$	$[0, 1, 0, -1, 15]$	\(y^2=x^3+x^2-x+15\)	2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.1, 20.12.0.d.1, 40.48.0-40.t.1.2	$[(-1, 4)]$
160.b1	160b1	160.b	160b	$2$	$2$	\( 2^{5} \cdot 5 \)	\( 2^{6} \cdot 5 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.22	2B	$40$	$48$	$0$	$1$	$1$		$1$	$8$	$-0.706045$	$438976/5$	$0.87813$	$3.37941$	$[0, -1, 0, -6, -4]$	\(y^2=x^3-x^2-6x-4\)	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 10.6.0.a.1, 20.12.0.e.1, $\ldots$	$[]$
160.b2	160b2	160.b	160b	$2$	$2$	\( 2^{5} \cdot 5 \)	\( - 2^{12} \cdot 5^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.37	2B	$40$	$48$	$0$	$1$	$1$		$1$	$16$	$-0.359471$	$-64/25$	$1.09219$	$3.74230$	$[0, -1, 0, -1, -15]$	\(y^2=x^3-x^2-x-15\)	2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.1, 20.12.0.d.1, 40.48.0-40.t.1.5	$[]$