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.p1	22386p1	22386.p	22386p	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \)	\( - 2 \cdot 3 \cdot 7 \cdot 13^{10} \cdot 41 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$6888$	$2$	$0$	$1$	$1$		$0$	$116960$	$1.447840$	$408411137424575375/237392322963978$	$0.98682$	$4.04855$	$[1, 1, 1, 15457, 55583]$	\(y^2+xy+y=x^3+x^2+15457x+55583\)	6888.2.0.?	$[]$
67158.j1	67158k1	67158.j	67158k	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 41 \)	\( - 2 \cdot 3^{7} \cdot 7 \cdot 13^{10} \cdot 41 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6888$	$2$	$0$	$0.560467284$	$1$		$2$	$935680$	$1.997145$	$408411137424575375/237392322963978$	$0.98682$	$4.24144$	$[1, -1, 0, 139113, -1361633]$	\(y^2+xy=x^3-x^2+139113x-1361633\)	6888.2.0.?	$[(1313, 48776)]$
156702.cv1	156702n1	156702.cv	156702n	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 13 \cdot 41 \)	\( - 2 \cdot 3 \cdot 7^{7} \cdot 13^{10} \cdot 41 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6888$	$2$	$0$	$1$	$1$		$0$	$5614080$	$2.420795$	$408411137424575375/237392322963978$	$0.98682$	$4.36600$	$[1, 0, 0, 757392, -16792854]$	\(y^2+xy=x^3+757392x-16792854\)	6888.2.0.?	$[]$
179088.bw1	179088i1	179088.bw	179088i	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 41 \)	\( - 2^{13} \cdot 3 \cdot 7 \cdot 13^{10} \cdot 41 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6888$	$2$	$0$	$1$	$1$		$0$	$2807040$	$2.140987$	$408411137424575375/237392322963978$	$0.98682$	$4.04020$	$[0, 1, 0, 247312, -3062700]$	\(y^2=x^3+x^2+247312x-3062700\)	6888.2.0.?	$[]$
291018.q1	291018q1	291018.q	291018q	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \cdot 41 \)	\( - 2 \cdot 3 \cdot 7 \cdot 13^{16} \cdot 41 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6888$	$2$	$0$	$1$	$9$	$3$	$0$	$19649280$	$2.730312$	$408411137424575375/237392322963978$	$0.98682$	$4.44640$	$[1, 1, 0, 2612230, 109055094]$	\(y^2+xy=x^3+x^2+2612230x+109055094\)	6888.2.0.?	$[]$
470106.bu1	470106bu1	470106.bu	470106bu	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \)	\( - 2 \cdot 3^{7} \cdot 7^{7} \cdot 13^{10} \cdot 41 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6888$	$2$	$0$	$1$	$1$		$0$	$44912640$	$2.970100$	$408411137424575375/237392322963978$	$0.98682$	$4.50344$	$[1, -1, 0, 6816528, 453407058]$	\(y^2+xy=x^3-x^2+6816528x+453407058\)	6888.2.0.?	$[]$