Elliptic curves over $\Q$ of conductor 254512

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
254512.a1	254512a1	254512.a	254512a	$1$	$1$	\( 2^{4} \cdot 15907 \)	\( - 2^{10} \cdot 15907 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$31814$	$2$	$0$	$1.614321371$	$1$		$8$	$69248$	$0.397218$	$-106388086500/15907$	$0.76485$	$2.59676$	$[0, 0, 0, -995, 12082]$	\(y^2=x^3-995x+12082\)	31814.2.0.?	$[(19, 6), (18, 2)]$
254512.b1	254512b1	254512.b	254512b	$1$	$1$	\( 2^{4} \cdot 15907 \)	\( - 2^{4} \cdot 15907 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$31814$	$2$	$0$	$8.964454525$	$1$		$4$	$14784$	$-0.278688$	$6912000/15907$	$0.64404$	$1.57564$	$[0, 0, 0, 10, -21]$	\(y^2=x^3+10x-21\)	31814.2.0.?	$[(3, 6), (179/7, 2750/7)]$
254512.c1	254512c1	254512.c	254512c	$1$	$1$	\( 2^{4} \cdot 15907 \)	\( - 2^{14} \cdot 15907 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$31814$	$2$	$0$	$2.961385535$	$1$		$2$	$139392$	$0.294767$	$1685159/63628$	$0.72623$	$2.15455$	$[0, -1, 0, 40, -784]$	\(y^2=x^3-x^2+40x-784\)	31814.2.0.?	$[(13, 42)]$