Elliptic curves over $\Q$ of conductor 81232

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
81232.a1	81232c1	81232.a	81232c	$1$	$1$	\( 2^{4} \cdot 5077 \)	\( 2^{8} \cdot 5077 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10154$	$2$	$0$	$3.572280029$	$1$		$4$	$9600$	$-0.004118$	$564600832/5077$	$0.72607$	$2.27303$	$[0, 1, 0, -109, -473]$	\(y^2=x^3+x^2-109x-473\)	10154.2.0.?	$[(-6, 1), (-27/2, 7/2)]$
81232.b1	81232b1	81232.b	81232b	$1$	$1$	\( 2^{4} \cdot 5077 \)	\( 2^{8} \cdot 5077 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10154$	$2$	$0$	$1$	$4$	$2$	$0$	$23808$	$0.457185$	$4410243976192/5077$	$0.82645$	$3.06589$	$[0, 1, 0, -2169, -39613]$	\(y^2=x^3+x^2-2169x-39613\)	10154.2.0.?	$[]$
81232.c1	81232a1	81232.c	81232a	$1$	$1$	\( 2^{4} \cdot 5077 \)	\( 2^{8} \cdot 5077 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10154$	$2$	$0$	$4.580467182$	$1$		$4$	$8192$	$-0.050033$	$170368000/5077$	$0.68170$	$2.16705$	$[0, 1, 0, -73, 211]$	\(y^2=x^3+x^2-73x+211\)	10154.2.0.?	$[(6, 5), (21/2, 1/2)]$
81232.d1	81232d1	81232.d	81232d	$1$	$1$	\( 2^{4} \cdot 5077 \)	\( 2^{12} \cdot 5077 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10154$	$2$	$0$	$1$	$4$	$2$	$0$	$79360$	$0.131757$	$37933056/5077$	$0.72024$	$2.27943$	$[0, 0, 0, -112, -400]$	\(y^2=x^3-112x-400\)	10154.2.0.?	$[]$