Elliptic curve search results

Results (14 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
20640.f1	20640b1	20640.f	20640b	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5 \cdot 43 \)	\( - 2^{9} \cdot 3^{4} \cdot 5^{7} \cdot 43^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$1$	$1$		$0$	$102144$	$1.598537$	$-71751706663500872/503130234375$	$0.97262$	$4.53572$	$[0, -1, 0, -69256, -7034444]$	\(y^2=x^3-x^2-69256x-7034444\)	1720.2.0.?	$[ ]$	$1$
20640.o1	20640f1	20640.o	20640f	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5 \cdot 43 \)	\( - 2^{9} \cdot 3^{4} \cdot 5^{7} \cdot 43^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$1$	$1$		$0$	$102144$	$1.598537$	$-71751706663500872/503130234375$	$0.97262$	$4.53572$	$[0, 1, 0, -69256, 7034444]$	\(y^2=x^3+x^2-69256x+7034444\)	1720.2.0.?	$[ ]$	$1$
41280.z1	41280cq1	41280.z	41280cq	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( - 2^{15} \cdot 3^{4} \cdot 5^{7} \cdot 43^{3} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$0.116353344$	$1$		$32$	$408576$	$1.945110$	$-71751706663500872/503130234375$	$0.97262$	$4.63122$	$[0, -1, 0, -277025, 56552577]$	\(y^2=x^3-x^2-277025x+56552577\)	1720.2.0.?	$[(584, 9675), (-491, 8600)]$	$1$
41280.dn1	41280dg1	41280.dn	41280dg	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( - 2^{15} \cdot 3^{4} \cdot 5^{7} \cdot 43^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$1$	$1$		$0$	$408576$	$1.945110$	$-71751706663500872/503130234375$	$0.97262$	$4.63122$	$[0, 1, 0, -277025, -56552577]$	\(y^2=x^3+x^2-277025x-56552577\)	1720.2.0.?	$[ ]$	$1$
61920.ba1	61920bx1	61920.ba	61920bx	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{9} \cdot 3^{10} \cdot 5^{7} \cdot 43^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$1$	$1$		$0$	$817152$	$2.147842$	$-71751706663500872/503130234375$	$0.97262$	$4.68152$	$[0, 0, 0, -623307, -190553294]$	\(y^2=x^3-623307x-190553294\)	1720.2.0.?	$[ ]$	$1$
61920.cb1	61920cd1	61920.cb	61920cd	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{9} \cdot 3^{10} \cdot 5^{7} \cdot 43^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$0.295386359$	$1$		$6$	$817152$	$2.147842$	$-71751706663500872/503130234375$	$0.97262$	$4.68152$	$[0, 0, 0, -623307, 190553294]$	\(y^2=x^3-623307x+190553294\)	1720.2.0.?	$[(553, 3870)]$	$1$
103200.be1	103200bx1	103200.be	103200bx	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( - 2^{9} \cdot 3^{4} \cdot 5^{13} \cdot 43^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$2.494183102$	$1$		$2$	$2451456$	$2.403255$	$-71751706663500872/503130234375$	$0.97262$	$4.73986$	$[0, -1, 0, -1731408, 882768312]$	\(y^2=x^3-x^2-1731408x+882768312\)	1720.2.0.?	$[(-1443, 19350)]$	$1$
103200.bs1	103200cm1	103200.bs	103200cm	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( - 2^{9} \cdot 3^{4} \cdot 5^{13} \cdot 43^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$5.187046756$	$1$		$2$	$2451456$	$2.403255$	$-71751706663500872/503130234375$	$0.97262$	$4.73986$	$[0, 1, 0, -1731408, -882768312]$	\(y^2=x^3+x^2-1731408x-882768312\)	1720.2.0.?	$[(3318, 172950)]$	$1$
123840.p1	123840fp1	123840.p	123840fp	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{15} \cdot 3^{10} \cdot 5^{7} \cdot 43^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$1$	$1$		$0$	$3268608$	$2.494415$	$-71751706663500872/503130234375$	$0.97262$	$4.75945$	$[0, 0, 0, -2493228, -1524426352]$	\(y^2=x^3-2493228x-1524426352\)	1720.2.0.?	$[ ]$	$1$
123840.da1	123840et1	123840.da	123840et	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{15} \cdot 3^{10} \cdot 5^{7} \cdot 43^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$3.732176934$	$1$		$2$	$3268608$	$2.494415$	$-71751706663500872/503130234375$	$0.97262$	$4.75945$	$[0, 0, 0, -2493228, 1524426352]$	\(y^2=x^3-2493228x+1524426352\)	1720.2.0.?	$[(854, 4248)]$	$1$
206400.x1	206400dy1	206400.x	206400dy	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( - 2^{15} \cdot 3^{4} \cdot 5^{13} \cdot 43^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$1.165812438$	$1$		$4$	$9805824$	$2.749828$	$-71751706663500872/503130234375$	$0.97262$	$4.81124$	$[0, -1, 0, -6925633, -7055220863]$	\(y^2=x^3-x^2-6925633x-7055220863\)	1720.2.0.?	$[(45457, 9675000)]$	$1$
206400.ju1	206400ci1	206400.ju	206400ci	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( - 2^{15} \cdot 3^{4} \cdot 5^{13} \cdot 43^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$1.656377693$	$1$		$2$	$9805824$	$2.749828$	$-71751706663500872/503130234375$	$0.97262$	$4.81124$	$[0, 1, 0, -6925633, 7055220863]$	\(y^2=x^3+x^2-6925633x+7055220863\)	1720.2.0.?	$[(1418, 9375)]$	$1$
309600.x1	309600x1	309600.x	309600x	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( - 2^{9} \cdot 3^{10} \cdot 5^{13} \cdot 43^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$1$	$1$		$0$	$19611648$	$2.952560$	$-71751706663500872/503130234375$	$0.97262$	$4.84936$	$[0, 0, 0, -15582675, 23819161750]$	\(y^2=x^3-15582675x+23819161750\)	1720.2.0.?	$[ ]$	$1$
309600.er1	309600er1	309600.er	309600er	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( - 2^{9} \cdot 3^{10} \cdot 5^{13} \cdot 43^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$9.556547524$	$1$		$0$	$19611648$	$2.952560$	$-71751706663500872/503130234375$	$0.97262$	$4.84936$	$[0, 0, 0, -15582675, -23819161750]$	\(y^2=x^3-15582675x-23819161750\)	1720.2.0.?	$[(29270710/79, 39019275000/79)]$	$1$

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