Elliptic curve search results

Results (16 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
51744.i1	51744bw1	51744.i	51744bw	$1$	$1$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( - 2^{12} \cdot 3^{5} \cdot 7^{8} \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$12.09111319$	$1$		$0$	$725760$	$2.083015$	$-11085279718912/29403$	$0.98176$	$4.96788$	$[0, -1, 0, -1332669, -591707115]$	\(y^2=x^3-x^2-1332669x-591707115\)	6.2.0.a.1	$[(423647/11, 258261116/11)]$
51744.z1	51744h1	51744.z	51744h	$1$	$1$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( - 2^{12} \cdot 3^{5} \cdot 7^{2} \cdot 11^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$4$	$2$	$0$	$103680$	$1.110060$	$-11085279718912/29403$	$0.98176$	$3.89220$	$[0, -1, 0, -27197, -1717323]$	\(y^2=x^3-x^2-27197x-1717323\)	6.2.0.a.1	$[ ]$
51744.bm1	51744z1	51744.bm	51744z	$1$	$1$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( - 2^{12} \cdot 3^{5} \cdot 7^{8} \cdot 11^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$0.380140325$	$1$		$18$	$725760$	$2.083015$	$-11085279718912/29403$	$0.98176$	$4.96788$	$[0, 1, 0, -1332669, 591707115]$	\(y^2=x^3+x^2-1332669x+591707115\)	6.2.0.a.1	$[(702, 1617), (653, 588)]$
51744.cq1	51744cn1	51744.cq	51744cn	$1$	$1$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( - 2^{12} \cdot 3^{5} \cdot 7^{2} \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$0.399040684$	$1$		$6$	$103680$	$1.110060$	$-11085279718912/29403$	$0.98176$	$3.89220$	$[0, 1, 0, -27197, 1717323]$	\(y^2=x^3+x^2-27197x+1717323\)	6.2.0.a.1	$[(97, 36)]$
103488.s1	103488bd1	103488.s	103488bd	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( - 2^{6} \cdot 3^{5} \cdot 7^{2} \cdot 11^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$2.618045912$	$1$		$6$	$103680$	$0.763486$	$-11085279718912/29403$	$0.98176$	$3.29840$	$[0, -1, 0, -6799, 218065]$	\(y^2=x^3-x^2-6799x+218065\)	6.2.0.a.1	$[(48, 1), (56, 99)]$
103488.dy1	103488g1	103488.dy	103488g	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( - 2^{6} \cdot 3^{5} \cdot 7^{8} \cdot 11^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$725760$	$1.736441$	$-11085279718912/29403$	$0.98176$	$4.30951$	$[0, -1, 0, -333167, 74129973]$	\(y^2=x^3-x^2-333167x+74129973\)	6.2.0.a.1	$[ ]$
103488.fp1	103488ec1	103488.fp	103488ec	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( - 2^{6} \cdot 3^{5} \cdot 7^{2} \cdot 11^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$103680$	$0.763486$	$-11085279718912/29403$	$0.98176$	$3.29840$	$[0, 1, 0, -6799, -218065]$	\(y^2=x^3+x^2-6799x-218065\)	6.2.0.a.1	$[ ]$
103488.hy1	103488ci1	103488.hy	103488ci	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( - 2^{6} \cdot 3^{5} \cdot 7^{8} \cdot 11^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$4$	$2$	$0$	$725760$	$1.736441$	$-11085279718912/29403$	$0.98176$	$4.30951$	$[0, 1, 0, -333167, -74129973]$	\(y^2=x^3+x^2-333167x-74129973\)	6.2.0.a.1	$[ ]$
155232.bb1	155232dk1	155232.bb	155232dk	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{12} \cdot 3^{11} \cdot 7^{2} \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$6.872746998$	$1$		$0$	$829440$	$1.659367$	$-11085279718912/29403$	$0.98176$	$4.08594$	$[0, 0, 0, -244776, -46612496]$	\(y^2=x^3-244776x-46612496\)	6.2.0.a.1	$[(8465/2, 755271/2)]$
155232.bs1	155232n1	155232.bs	155232n	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{12} \cdot 3^{11} \cdot 7^{2} \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$0.636384947$	$1$		$4$	$829440$	$1.659367$	$-11085279718912/29403$	$0.98176$	$4.08594$	$[0, 0, 0, -244776, 46612496]$	\(y^2=x^3-244776x+46612496\)	6.2.0.a.1	$[(400, 3564)]$
155232.dk1	155232ef1	155232.dk	155232ef	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{12} \cdot 3^{11} \cdot 7^{8} \cdot 11^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$5806080$	$2.632320$	$-11085279718912/29403$	$0.98176$	$5.06275$	$[0, 0, 0, -11994024, 15988086128]$	\(y^2=x^3-11994024x+15988086128\)	6.2.0.a.1	$[ ]$
155232.dy1	155232cf1	155232.dy	155232cf	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{12} \cdot 3^{11} \cdot 7^{8} \cdot 11^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$5806080$	$2.632320$	$-11085279718912/29403$	$0.98176$	$5.06275$	$[0, 0, 0, -11994024, -15988086128]$	\(y^2=x^3-11994024x-15988086128\)	6.2.0.a.1	$[ ]$
310464.dt1	310464dt1	310464.dt	310464dt	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{6} \cdot 3^{11} \cdot 7^{8} \cdot 11^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$5806080$	$2.285748$	$-11085279718912/29403$	$0.98176$	$4.45637$	$[0, 0, 0, -2998506, -1998510766]$	\(y^2=x^3-2998506x-1998510766\)	6.2.0.a.1	$[ ]$
310464.fm1	310464fm1	310464.fm	310464fm	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{6} \cdot 3^{11} \cdot 7^{8} \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$5.077498220$	$1$		$2$	$5806080$	$2.285748$	$-11085279718912/29403$	$0.98176$	$4.45637$	$[0, 0, 0, -2998506, 1998510766]$	\(y^2=x^3-2998506x+1998510766\)	6.2.0.a.1	$[(1205, 11619)]$
310464.mo1	310464mo1	310464.mo	310464mo	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{6} \cdot 3^{11} \cdot 7^{2} \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1.778856463$	$1$		$0$	$829440$	$1.312792$	$-11085279718912/29403$	$0.98176$	$3.53310$	$[0, 0, 0, -61194, 5826562]$	\(y^2=x^3-61194x+5826562\)	6.2.0.a.1	$[(569/2, 99/2)]$
310464.of1	310464of1	310464.of	310464of	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{6} \cdot 3^{11} \cdot 7^{2} \cdot 11^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$829440$	$1.312792$	$-11085279718912/29403$	$0.98176$	$3.53310$	$[0, 0, 0, -61194, -5826562]$	\(y^2=x^3-61194x-5826562\)	6.2.0.a.1	$[ ]$

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