Elliptic curve search results

Results (11 matches)

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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	Manin constant
13260.h1	13260h1	13260.h	13260h	$1$	$1$	\( 2^{2} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{4} \cdot 3^{5} \cdot 5 \cdot 13^{2} \cdot 17^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$1$	$1$		$0$	$10080$	$0.648133$	$1725582942464/1008810855$	$0.92200$	$3.26038$	$[0, -1, 0, 630, 405]$	\(y^2=x^3-x^2+630x+405\)	510.2.0.?	$[ ]$	$1$
39780.k1	39780q1	39780.k	39780q	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{4} \cdot 3^{11} \cdot 5 \cdot 13^{2} \cdot 17^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$0.225230263$	$1$		$8$	$80640$	$1.197439$	$1725582942464/1008810855$	$0.92200$	$3.54456$	$[0, 0, 0, 5667, -16603]$	\(y^2=x^3+5667x-16603\)	510.2.0.?	$[(109, 1377)]$	$1$
53040.cl1	53040cy1	53040.cl	53040cy	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{4} \cdot 3^{5} \cdot 5 \cdot 13^{2} \cdot 17^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$1.110811137$	$1$		$2$	$40320$	$0.648133$	$1725582942464/1008810855$	$0.92200$	$2.84491$	$[0, 1, 0, 630, -405]$	\(y^2=x^3+x^2+630x-405\)	510.2.0.?	$[(3, 39)]$	$1$
66300.w1	66300x1	66300.w	66300x	$1$	$1$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{4} \cdot 3^{5} \cdot 5^{7} \cdot 13^{2} \cdot 17^{3} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$0.091279997$	$1$		$36$	$241920$	$1.452852$	$1725582942464/1008810855$	$0.92200$	$3.65754$	$[0, 1, 0, 15742, 82113]$	\(y^2=x^3+x^2+15742x+82113\)	510.2.0.?	$[(1348, 49725), (73, 1275)]$	$1$
159120.j1	159120bg1	159120.j	159120bg	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{4} \cdot 3^{11} \cdot 5 \cdot 13^{2} \cdot 17^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$0.981338450$	$1$		$2$	$322560$	$1.197439$	$1725582942464/1008810855$	$0.92200$	$3.13430$	$[0, 0, 0, 5667, 16603]$	\(y^2=x^3+5667x+16603\)	510.2.0.?	$[(146, 1989)]$	$1$
172380.c1	172380bd1	172380.c	172380bd	$1$	$1$	\( 2^{2} \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( - 2^{4} \cdot 3^{5} \cdot 5 \cdot 13^{8} \cdot 17^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$1$	$1$		$0$	$1693440$	$1.930609$	$1725582942464/1008810855$	$0.92200$	$3.84317$	$[0, -1, 0, 106414, 1315521]$	\(y^2=x^3-x^2+106414x+1315521\)	510.2.0.?	$[ ]$	$1$
198900.l1	198900bb1	198900.l	198900bb	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{4} \cdot 3^{11} \cdot 5^{7} \cdot 13^{2} \cdot 17^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$4.662739711$	$1$		$2$	$1935360$	$2.002159$	$1725582942464/1008810855$	$0.92200$	$3.86847$	$[0, 0, 0, 141675, -2075375]$	\(y^2=x^3+141675x-2075375\)	510.2.0.?	$[(24, 1157)]$	$1$
212160.i1	212160dh1	212160.i	212160dh	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{10} \cdot 3^{5} \cdot 5 \cdot 13^{2} \cdot 17^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$1$	$1$		$0$	$322560$	$0.994707$	$1725582942464/1008810855$	$0.92200$	$2.86244$	$[0, -1, 0, 2519, -5759]$	\(y^2=x^3-x^2+2519x-5759\)	510.2.0.?	$[ ]$	$1$
212160.fm1	212160fy1	212160.fm	212160fy	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{10} \cdot 3^{5} \cdot 5 \cdot 13^{2} \cdot 17^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$1$	$1$		$0$	$322560$	$0.994707$	$1725582942464/1008810855$	$0.92200$	$2.86244$	$[0, 1, 0, 2519, 5759]$	\(y^2=x^3+x^2+2519x+5759\)	510.2.0.?	$[ ]$	$1$
225420.x1	225420l1	225420.x	225420l	$1$	$1$	\( 2^{2} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{5} \cdot 5 \cdot 13^{2} \cdot 17^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$1$	$1$		$0$	$2903040$	$2.064739$	$1725582942464/1008810855$	$0.92200$	$3.89011$	$[0, 1, 0, 181974, 3081789]$	\(y^2=x^3+x^2+181974x+3081789\)	510.2.0.?	$[ ]$	$1$
265200.dh1	265200dh1	265200.dh	265200dh	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{4} \cdot 3^{5} \cdot 5^{7} \cdot 13^{2} \cdot 17^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$1.153241738$	$1$		$0$	$967680$	$1.452852$	$1725582942464/1008810855$	$0.92200$	$3.25152$	$[0, -1, 0, 15742, -82113]$	\(y^2=x^3-x^2+15742x-82113\)	510.2.0.?	$[(133/2, 5525/2)]$	$1$

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