Elliptic curve search results

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
26171.a1	26171a1	26171.a	26171a	$1$	$1$	\( 26171 \)	\( -26171 \)	$3$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$52342$	$2$	$0$	$0.767411060$	$1$		$30$	$8752$	$-0.265061$	$-13011038208/26171$	$0.92915$	$2.28978$	$[0, 0, 1, -49, 132]$	\(y^2+y=x^3-49x+132\)	52342.2.0.?	$[(4, 0), (3, 3), (5, 3)]$
235539.a1	235539a1	235539.a	235539a	$1$	$1$	\( 3^{2} \cdot 26171 \)	\( - 3^{6} \cdot 26171 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52342$	$2$	$0$	$7.882031489$	$4$	$2$	$0$	$122528$	$0.284245$	$-13011038208/26171$	$0.92915$	$2.41593$	$[0, 0, 1, -441, -3571]$	\(y^2+y=x^3-441x-3571\)	52342.2.0.?	$[(1873/8, 47193/8)]$
418736.b1	418736b1	418736.b	418736b	$1$	$1$	\( 2^{4} \cdot 26171 \)	\( - 2^{12} \cdot 26171 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52342$	$2$	$0$	$8.577564772$	$4$	$2$	$0$	$350080$	$0.428086$	$-13011038208/26171$	$0.92915$	$2.44189$	$[0, 0, 0, -784, -8464]$	\(y^2=x^3-784x-8464\)	52342.2.0.?	$[(4729/6, 317107/6)]$