Elliptic curves over $\Q$ of conductor 10571

Results (3 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
10571.a1	10571a3	10571.a	10571a	$3$	$25$	\( 11 \cdot 31^{2} \)	\( - 11 \cdot 31^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	25.60.0.2	5B.4.2	$17050$	$1200$	$37$	$1$	$1$		$0$	$146250$	$2.213703$	$-52893159101157376/11$	$1.09296$	$6.37943$	$[0, 1, 1, -7515340, 7927456632]$	\(y^2+y=x^3+x^2-7515340x+7927456632\)	5.12.0.a.2, 22.2.0.a.1, 25.60.0.a.2, 110.24.1.?, 155.24.0.?, $\ldots$	$[]$
10571.a2	10571a2	10571.a	10571a	$3$	$25$	\( 11 \cdot 31^{2} \)	\( - 11^{5} \cdot 31^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.60.0.1	5Cs.4.1	$17050$	$1200$	$37$	$1$	$1$		$0$	$29250$	$1.408983$	$-122023936/161051$	$1.01300$	$4.36135$	$[0, 1, 1, -9930, 686572]$	\(y^2+y=x^3+x^2-9930x+686572\)	5.60.0.a.1, 22.2.0.a.1, 110.120.5.?, 155.120.0.?, 275.300.12.?, $\ldots$	$[]$
10571.a3	10571a1	10571.a	10571a	$3$	$25$	\( 11 \cdot 31^{2} \)	\( - 11 \cdot 31^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	25.60.0.1	5B.4.1	$17050$	$1200$	$37$	$1$	$1$		$0$	$5850$	$0.604265$	$-4096/11$	$0.82546$	$3.30802$	$[0, 1, 1, -320, -5348]$	\(y^2+y=x^3+x^2-320x-5348\)	5.12.0.a.1, 22.2.0.a.1, 25.60.0.a.1, 110.24.1.?, 155.24.0.?, $\ldots$	$[]$