Elliptic curves over $\Q$ of conductor 1147

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
1147.a1	1147b2	1147.a	1147b	$2$	$5$	\( 31 \cdot 37 \)	\( 31^{10} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	5.24.0.3	5B.1.2	$370$	$48$	$1$	$0.459017617$	$1$		$4$	$19600$	$1.977798$	$2797794606468551643136/30326246618289637$	$1.00214$	$7.00976$	$[0, -1, 1, -293560, -60546218]$	\(y^2+y=x^3-x^2-293560x-60546218\)	5.24.0-5.a.2.2, 74.2.0.?, 370.48.1.?	$[(1832, 74477)]$
1147.a2	1147b1	1147.a	1147b	$2$	$5$	\( 31 \cdot 37 \)	\( 31^{2} \cdot 37^{5} \)	$1$	$\Z/5\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	5.24.0.1	5B.1.1	$370$	$48$	$1$	$2.295088086$	$1$		$8$	$3920$	$1.173080$	$2126464142970105856/66639542677$	$1.01330$	$5.99029$	$[0, -1, 1, -26790, 1696662]$	\(y^2+y=x^3-x^2-26790x+1696662\)	5.24.0-5.a.1.2, 74.2.0.?, 370.48.1.?	$[(117, 387)]$
1147.b1	1147a1	1147.b	1147a	$1$	$1$	\( 31 \cdot 37 \)	\( 31^{2} \cdot 37 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$74$	$2$	$0$	$0.291623432$	$1$		$14$	$80$	$-0.428352$	$89915392/35557$	$0.81893$	$2.59966$	$[0, -1, 1, -9, 9]$	\(y^2+y=x^3-x^2-9x+9\)	74.2.0.?	$[(7, 15), (-3/2, 27/2)]$