Elliptic curve search results

Results (6 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
22386.h1	22386g1	22386.h	22386g	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \)	\( 2^{8} \cdot 3^{13} \cdot 7^{2} \cdot 13 \cdot 41 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$6396$	$2$	$0$	$0.164739184$	$1$		$26$	$86528$	$1.392803$	$6034224034719280009/10659567050496$	$0.93904$	$4.31741$	$[1, 0, 1, -37929, 2835628]$	\(y^2+xy+y=x^3-37929x+2835628\)	6396.2.0.?	$[(62, 819), (251, 2898)]$
67158.bv1	67158bn1	67158.bv	67158bn	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 41 \)	\( 2^{8} \cdot 3^{19} \cdot 7^{2} \cdot 13 \cdot 41 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6396$	$2$	$0$	$1$	$1$		$0$	$692224$	$1.942110$	$6034224034719280009/10659567050496$	$0.93904$	$4.48372$	$[1, -1, 1, -341357, -76561963]$	\(y^2+xy+y=x^3-x^2-341357x-76561963\)	6396.2.0.?	$[]$
156702.k1	156702cu1	156702.k	156702cu	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 13 \cdot 41 \)	\( 2^{8} \cdot 3^{13} \cdot 7^{8} \cdot 13 \cdot 41 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6396$	$2$	$0$	$1$	$1$		$0$	$4153344$	$2.365757$	$6034224034719280009/10659567050496$	$0.93904$	$4.59112$	$[1, 1, 0, -1858497, -974478987]$	\(y^2+xy=x^3+x^2-1858497x-974478987\)	6396.2.0.?	$[]$
179088.s1	179088bg1	179088.s	179088bg	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 41 \)	\( 2^{20} \cdot 3^{13} \cdot 7^{2} \cdot 13 \cdot 41 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6396$	$2$	$0$	$8.741444417$	$1$		$0$	$2076672$	$2.085949$	$6034224034719280009/10659567050496$	$0.93904$	$4.26284$	$[0, -1, 0, -606856, -181480208]$	\(y^2=x^3-x^2-606856x-181480208\)	6396.2.0.?	$[(-73902/13, 624974/13)]$
291018.dd1	291018dd1	291018.dd	291018dd	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \cdot 41 \)	\( 2^{8} \cdot 3^{13} \cdot 7^{2} \cdot 13^{7} \cdot 41 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6396$	$2$	$0$	$0.111514968$	$1$		$10$	$14536704$	$2.675278$	$6034224034719280009/10659567050496$	$0.93904$	$4.66044$	$[1, 0, 0, -6409920, 6236285184]$	\(y^2+xy=x^3-6409920x+6236285184\)	6396.2.0.?	$[(1626, 9834)]$
470106.et1	470106et1	470106.et	470106et	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \)	\( 2^{8} \cdot 3^{19} \cdot 7^{8} \cdot 13 \cdot 41 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6396$	$2$	$0$	$1.304778752$	$1$		$4$	$33226752$	$2.915066$	$6034224034719280009/10659567050496$	$0.93904$	$4.70963$	$[1, -1, 1, -16726478, 26294206173]$	\(y^2+xy+y=x^3-x^2-16726478x+26294206173\)	6396.2.0.?	$[(2033, 25227)]$