Elliptic curve search results

Results (12 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
5010.d1	5010c1	5010.d	5010c	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 167 \)	\( - 2^{8} \cdot 3^{2} \cdot 5 \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$1670$	$2$	$0$	$0.321007274$	$1$		$4$	$1920$	$0.143117$	$-2796665386969/1923840$	$0.88451$	$3.36424$	$[1, 0, 1, -294, 1912]$	\(y^2+xy+y=x^3-294x+1912\)	1670.2.0.?	$[(5, 21)]$
15030.p1	15030n1	15030.p	15030n	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 167 \)	\( - 2^{8} \cdot 3^{8} \cdot 5 \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$1$	$1$		$0$	$15360$	$0.692423$	$-2796665386969/1923840$	$0.88451$	$3.66532$	$[1, -1, 1, -2642, -51631]$	\(y^2+xy+y=x^3-x^2-2642x-51631\)	1670.2.0.?	$[]$
25050.o1	25050n1	25050.o	25050n	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 167 \)	\( - 2^{8} \cdot 3^{2} \cdot 5^{7} \cdot 167 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$0.122567089$	$1$		$30$	$46080$	$0.947836$	$-2796665386969/1923840$	$0.88451$	$3.78307$	$[1, 1, 1, -7338, 239031]$	\(y^2+xy+y=x^3+x^2-7338x+239031\)	1670.2.0.?	$[(55, 47), (49, -37)]$
40080.c1	40080p1	40080.c	40080p	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 167 \)	\( - 2^{20} \cdot 3^{2} \cdot 5 \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$1$	$1$		$0$	$46080$	$0.836264$	$-2796665386969/1923840$	$0.88451$	$3.48898$	$[0, -1, 0, -4696, -122384]$	\(y^2=x^3-x^2-4696x-122384\)	1670.2.0.?	$[]$
75150.j1	75150n1	75150.j	75150n	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 167 \)	\( - 2^{8} \cdot 3^{8} \cdot 5^{7} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$3.637894966$	$1$		$2$	$368640$	$1.497143$	$-2796665386969/1923840$	$0.88451$	$4.00000$	$[1, -1, 0, -66042, -6519884]$	\(y^2+xy=x^3-x^2-66042x-6519884\)	1670.2.0.?	$[(308, 1358)]$
120240.bm1	120240cq1	120240.bm	120240cq	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 167 \)	\( - 2^{20} \cdot 3^{8} \cdot 5 \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$1.153250431$	$1$		$4$	$368640$	$1.385571$	$-2796665386969/1923840$	$0.88451$	$3.72482$	$[0, 0, 0, -42267, 3346634]$	\(y^2=x^3-42267x+3346634\)	1670.2.0.?	$[(125, 128)]$
160320.bk1	160320cn1	160320.bk	160320cn	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 167 \)	\( - 2^{26} \cdot 3^{2} \cdot 5 \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$2.240325123$	$1$		$2$	$368640$	$1.182838$	$-2796665386969/1923840$	$0.88451$	$3.43242$	$[0, -1, 0, -18785, 997857]$	\(y^2=x^3-x^2-18785x+997857\)	1670.2.0.?	$[(83, 60)]$
160320.ci1	160320b1	160320.ci	160320b	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 167 \)	\( - 2^{26} \cdot 3^{2} \cdot 5 \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$1$	$1$		$0$	$368640$	$1.182838$	$-2796665386969/1923840$	$0.88451$	$3.43242$	$[0, 1, 0, -18785, -997857]$	\(y^2=x^3+x^2-18785x-997857\)	1670.2.0.?	$[]$
200400.cx1	200400w1	200400.cx	200400w	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 167 \)	\( - 2^{20} \cdot 3^{2} \cdot 5^{7} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$1$	$1$		$0$	$1105920$	$1.640984$	$-2796665386969/1923840$	$0.88451$	$3.82002$	$[0, 1, 0, -117408, -15532812]$	\(y^2=x^3+x^2-117408x-15532812\)	1670.2.0.?	$[]$
245490.l1	245490l1	245490.l	245490l	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 167 \)	\( - 2^{8} \cdot 3^{2} \cdot 5 \cdot 7^{6} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$2.031085935$	$1$		$2$	$691200$	$1.116072$	$-2796665386969/1923840$	$0.88451$	$3.25003$	$[1, 1, 0, -14382, -670284]$	\(y^2+xy=x^3+x^2-14382x-670284\)	1670.2.0.?	$[(300, 4554)]$
480960.bb1	480960bb1	480960.bb	480960bb	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 167 \)	\( - 2^{26} \cdot 3^{8} \cdot 5 \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$1$	$1$		$0$	$2949120$	$1.732143$	$-2796665386969/1923840$	$0.88451$	$3.64802$	$[0, 0, 0, -169068, 26773072]$	\(y^2=x^3-169068x+26773072\)	1670.2.0.?	$[]$
480960.cg1	480960cg1	480960.cg	480960cg	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 167 \)	\( - 2^{26} \cdot 3^{8} \cdot 5 \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$1$	$1$		$0$	$2949120$	$1.732143$	$-2796665386969/1923840$	$0.88451$	$3.64802$	$[0, 0, 0, -169068, -26773072]$	\(y^2=x^3-169068x-26773072\)	1670.2.0.?	$[]$