Elliptic curve search results

Results (5 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
20510.e1	20510f1	20510.e	20510f	$1$	$1$	\( 2 \cdot 5 \cdot 7 \cdot 293 \)	\( 2^{8} \cdot 5 \cdot 7^{5} \cdot 293 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$41020$	$2$	$0$	$0.252662328$	$1$		$4$	$14720$	$0.596094$	$31080575499121/6303297280$	$0.84650$	$3.12908$	$[1, 0, 0, -655, -5255]$	\(y^2+xy=x^3-655x-5255\)	41020.2.0.?	$[(-18, 37)]$
102550.e1	102550b1	102550.e	102550b	$1$	$1$	\( 2 \cdot 5^{2} \cdot 7 \cdot 293 \)	\( 2^{8} \cdot 5^{7} \cdot 7^{5} \cdot 293 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$41020$	$2$	$0$	$1.226895138$	$1$		$4$	$353280$	$1.400812$	$31080575499121/6303297280$	$0.84650$	$3.52954$	$[1, 1, 0, -16375, -656875]$	\(y^2+xy=x^3+x^2-16375x-656875\)	41020.2.0.?	$[(-50, 225)]$
143570.o1	143570e1	143570.o	143570e	$1$	$1$	\( 2 \cdot 5 \cdot 7^{2} \cdot 293 \)	\( 2^{8} \cdot 5 \cdot 7^{11} \cdot 293 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$41020$	$2$	$0$	$0.547229625$	$1$		$4$	$706560$	$1.569050$	$31080575499121/6303297280$	$0.84650$	$3.59954$	$[1, 1, 1, -32096, 1770369]$	\(y^2+xy+y=x^3+x^2-32096x+1770369\)	41020.2.0.?	$[(223, 2289)]$
164080.f1	164080c1	164080.f	164080c	$1$	$1$	\( 2^{4} \cdot 5 \cdot 7 \cdot 293 \)	\( 2^{20} \cdot 5 \cdot 7^{5} \cdot 293 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$41020$	$2$	$0$	$1$	$1$		$0$	$353280$	$1.289242$	$31080575499121/6303297280$	$0.84650$	$3.27990$	$[0, -1, 0, -10480, 336320]$	\(y^2=x^3-x^2-10480x+336320\)	41020.2.0.?	$[]$
184590.h1	184590r1	184590.h	184590r	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 293 \)	\( 2^{8} \cdot 3^{6} \cdot 5 \cdot 7^{5} \cdot 293 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$41020$	$2$	$0$	$0.673237347$	$1$		$4$	$441600$	$1.145401$	$31080575499121/6303297280$	$0.84650$	$3.10569$	$[1, -1, 0, -5895, 141885]$	\(y^2+xy=x^3-x^2-5895x+141885\)	41020.2.0.?	$[(-2, 393)]$