Elliptic curves over $\Q$ of conductor 186

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
186.a1	186a1	186.a	186a	$1$	$1$	\( 2 \cdot 3 \cdot 31 \)	\( - 2 \cdot 3^{11} \cdot 31 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$744$	$2$	$0$	$1$	$1$		$0$	$44$	$0.077491$	$-64432972729/10983114$	$0.96365$	$4.81215$	$[1, 1, 0, -83, -369]$	\(y^2+xy=x^3+x^2-83x-369\)	744.2.0.?	$[]$
186.b1	186c1	186.b	186c	$1$	$1$	\( 2 \cdot 3 \cdot 31 \)	\( - 2^{7} \cdot 3 \cdot 31 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$744$	$2$	$0$	$1$	$1$		$0$	$28$	$-0.431837$	$-498677257/11904$	$0.91486$	$3.84020$	$[1, 0, 1, -17, -28]$	\(y^2+xy+y=x^3-17x-28\)	744.2.0.?	$[]$
186.c1	186b2	186.c	186b	$2$	$5$	\( 2 \cdot 3 \cdot 31 \)	\( - 2 \cdot 3 \cdot 31^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	5.24.0.3	5B.1.2	$3720$	$48$	$1$	$1$	$1$		$0$	$100$	$0.526340$	$-300238092661681/171774906$	$1.01002$	$6.37930$	$[1, 0, 0, -1395, -20181]$	\(y^2+xy=x^3-1395x-20181\)	5.24.0-5.a.2.2, 744.2.0.?, 3720.48.1.?	$[]$
186.c2	186b1	186.c	186b	$2$	$5$	\( 2 \cdot 3 \cdot 31 \)	\( - 2^{5} \cdot 3^{5} \cdot 31 \)	$0$	$\Z/5\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	5.24.0.1	5B.1.1	$3720$	$48$	$1$	$1$	$1$		$4$	$20$	$-0.278378$	$371694959/241056$	$0.96286$	$3.77622$	$[1, 0, 0, 15, 9]$	\(y^2+xy=x^3+15x+9\)	5.24.0-5.a.1.2, 744.2.0.?, 3720.48.1.?	$[]$