Elliptic curve search results

Results (18 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
3950.b1	3950b1	3950.b	3950b	$1$	$1$	\( 2 \cdot 5^{2} \cdot 79 \)	\( - 2^{19} \cdot 5^{10} \cdot 79^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.1		$8$	$2$	$0$	$13.60815829$	$1$		$0$	$43320$	$2.091774$	$-3665123505412225/3272081408$	$0.98020$	$6.27105$	$[1, 1, 0, -686575, -219422875]$	\(y^2+xy=x^3+x^2-686575x-219422875\)	8.2.0.a.1	$[(5441801/61, 9746200771/61)]$
3950.i1	3950i1	3950.i	3950i	$1$	$1$	\( 2 \cdot 5^{2} \cdot 79 \)	\( - 2^{19} \cdot 5^{4} \cdot 79^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.1		$8$	$2$	$0$	$0.803884096$	$1$		$4$	$8664$	$1.287056$	$-3665123505412225/3272081408$	$0.98020$	$5.10500$	$[1, 0, 0, -27463, -1755383]$	\(y^2+xy=x^3-27463x-1755383\)	8.2.0.a.1	$[(246, 2405)]$
31600.i1	31600y1	31600.i	31600y	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 79 \)	\( - 2^{31} \cdot 5^{4} \cdot 79^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.1		$8$	$2$	$0$	$1$	$1$		$0$	$207936$	$1.980204$	$-3665123505412225/3272081408$	$0.98020$	$4.88323$	$[0, -1, 0, -439408, 112344512]$	\(y^2=x^3-x^2-439408x+112344512\)	8.2.0.a.1	$[ ]$
31600.s1	31600m1	31600.s	31600m	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 79 \)	\( - 2^{31} \cdot 5^{10} \cdot 79^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.1		$8$	$2$	$0$	$3.831865989$	$1$		$0$	$1039680$	$2.784924$	$-3665123505412225/3272081408$	$0.98020$	$5.81525$	$[0, 1, 0, -10985208, 14021093588]$	\(y^2=x^3+x^2-10985208x+14021093588\)	8.2.0.a.1	$[(-24074/3, 4206592/3)]$
35550.j1	35550t1	35550.j	35550t	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \)	\( - 2^{19} \cdot 3^{6} \cdot 5^{4} \cdot 79^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.1		$8$	$2$	$0$	$1.410100883$	$1$		$4$	$259920$	$1.836363$	$-3665123505412225/3272081408$	$0.98020$	$4.66362$	$[1, -1, 0, -247167, 47395341]$	\(y^2+xy=x^3-x^2-247167x+47395341\)	8.2.0.a.1	$[(289, 53)]$
35550.bw1	35550bn1	35550.bw	35550bn	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \)	\( - 2^{19} \cdot 3^{6} \cdot 5^{10} \cdot 79^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.1		$8$	$2$	$0$	$1.181301675$	$1$		$4$	$1299600$	$2.641083$	$-3665123505412225/3272081408$	$0.98020$	$5.58516$	$[1, -1, 1, -6179180, 5918238447]$	\(y^2+xy+y=x^3-x^2-6179180x+5918238447\)	8.2.0.a.1	$[(1365, 4373)]$
126400.t1	126400ce1	126400.t	126400ce	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 79 \)	\( - 2^{37} \cdot 5^{10} \cdot 79^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.1		$8$	$2$	$0$	$3.885147341$	$1$		$2$	$8317440$	$3.131496$	$-3665123505412225/3272081408$	$0.98020$	$5.48302$	$[0, -1, 0, -43940833, 112212689537]$	\(y^2=x^3-x^2-43940833x+112212689537\)	8.2.0.a.1	$[(-6259, 376832)]$
126400.u1	126400bb1	126400.u	126400bb	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 79 \)	\( - 2^{37} \cdot 5^{4} \cdot 79^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.1		$8$	$2$	$0$	$1$	$1$		$0$	$1663488$	$2.326778$	$-3665123505412225/3272081408$	$0.98020$	$4.66099$	$[0, -1, 0, -1757633, -896998463]$	\(y^2=x^3-x^2-1757633x-896998463\)	8.2.0.a.1	$[ ]$
126400.bz1	126400cr1	126400.bz	126400cr	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 79 \)	\( - 2^{37} \cdot 5^{4} \cdot 79^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.1		$8$	$2$	$0$	$1$	$1$		$0$	$1663488$	$2.326778$	$-3665123505412225/3272081408$	$0.98020$	$4.66099$	$[0, 1, 0, -1757633, 896998463]$	\(y^2=x^3+x^2-1757633x+896998463\)	8.2.0.a.1	$[ ]$
126400.ca1	126400d1	126400.ca	126400d	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 79 \)	\( - 2^{37} \cdot 5^{10} \cdot 79^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.1		$8$	$2$	$0$	$84.70950634$	$1$		$0$	$8317440$	$3.131496$	$-3665123505412225/3272081408$	$0.98020$	$5.48302$	$[0, 1, 0, -43940833, -112212689537]$	\(y^2=x^3+x^2-43940833x-112212689537\)	8.2.0.a.1	$[(106235822278244449275366800215555861077/28402242327327461, 1093569960907774781417166615548275802247028791391681518052/28402242327327461)]$
193550.z1	193550cx1	193550.z	193550cx	$1$	$1$	\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 79 \)	\( - 2^{19} \cdot 5^{10} \cdot 7^{6} \cdot 79^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.1		$8$	$2$	$0$	$1$	$4$	$2$	$0$	$15595200$	$3.064732$	$-3665123505412225/3272081408$	$0.98020$	$5.22529$	$[1, 0, 1, -33642201, 75161119548]$	\(y^2+xy+y=x^3-33642201x+75161119548\)	8.2.0.a.1	$[ ]$
193550.by1	193550l1	193550.by	193550l	$1$	$1$	\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 79 \)	\( - 2^{19} \cdot 5^{4} \cdot 7^{6} \cdot 79^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.1		$8$	$2$	$0$	$0.232697555$	$1$		$26$	$3119040$	$2.260010$	$-3665123505412225/3272081408$	$0.98020$	$4.43203$	$[1, 1, 1, -1345688, 600750681]$	\(y^2+xy+y=x^3+x^2-1345688x+600750681\)	8.2.0.a.1	$[(805, 5917), (685, 637)]$
284400.bt1	284400bt1	284400.bt	284400bt	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 79 \)	\( - 2^{31} \cdot 3^{6} \cdot 5^{10} \cdot 79^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.1		$8$	$2$	$0$	$1$	$9$	$3$	$0$	$31190400$	$3.334229$	$-3665123505412225/3272081408$	$0.98020$	$5.32268$	$[0, 0, 0, -98866875, -378668393750]$	\(y^2=x^3-98866875x-378668393750\)	8.2.0.a.1	$[ ]$
284400.eu1	284400eu1	284400.eu	284400eu	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 79 \)	\( - 2^{31} \cdot 3^{6} \cdot 5^{4} \cdot 79^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.1		$8$	$2$	$0$	$6.805215558$	$1$		$0$	$6238080$	$2.529510$	$-3665123505412225/3272081408$	$0.98020$	$4.55373$	$[0, 0, 0, -3954675, -3029347150]$	\(y^2=x^3-3954675x-3029347150\)	8.2.0.a.1	$[(1687585/27, 292843520/27)]$
312050.k1	312050k1	312050.k	312050k	$1$	$1$	\( 2 \cdot 5^{2} \cdot 79^{2} \)	\( - 2^{19} \cdot 5^{10} \cdot 79^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.1		$8$	$2$	$0$	$1$	$9$	$3$	$0$	$270316800$	$4.276497$	$-3665123505412225/3272081408$	$0.98020$	$6.17744$	$[1, 0, 1, -4284917826, 108042632614548]$	\(y^2+xy+y=x^3-4284917826x+108042632614548\)	8.2.0.a.1	$[ ]$
312050.o1	312050o1	312050.o	312050o	$1$	$1$	\( 2 \cdot 5^{2} \cdot 79^{2} \)	\( - 2^{19} \cdot 5^{4} \cdot 79^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.1		$8$	$2$	$0$	$1$	$1$		$0$	$54063360$	$3.471779$	$-3665123505412225/3272081408$	$0.98020$	$5.41412$	$[1, 1, 1, -171396713, 864272502231]$	\(y^2+xy+y=x^3+x^2-171396713x+864272502231\)	8.2.0.a.1	$[ ]$
477950.bh1	477950bh1	477950.bh	477950bh	$1$	$1$	\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 79 \)	\( - 2^{19} \cdot 5^{4} \cdot 11^{6} \cdot 79^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.1		$8$	$2$	$0$	$1$	$1$		$0$	$12389520$	$2.486004$	$-3665123505412225/3272081408$	$0.98020$	$4.33304$	$[1, 0, 1, -3323026, 2333091748]$	\(y^2+xy+y=x^3-3323026x+2333091748\)	8.2.0.a.1	$[ ]$
477950.ci1	477950ci1	477950.ci	477950ci	$1$	$1$	\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 79 \)	\( - 2^{19} \cdot 5^{10} \cdot 11^{6} \cdot 79^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.1		$8$	$2$	$0$	$1$	$1$		$0$	$61947600$	$3.290722$	$-3665123505412225/3272081408$	$0.98020$	$5.07147$	$[1, 1, 1, -83075638, 291636468531]$	\(y^2+xy+y=x^3+x^2-83075638x+291636468531\)	8.2.0.a.1	$[ ]$

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