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
43680.y3	43680bq1	43680.y	43680bq	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{6} \cdot 3^{2} \cdot 5^{4} \cdot 7^{2} \cdot 13^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$2184$	$48$	$0$	$1.079327091$	$1$		$11$	$24576$	$0.513090$	$102766285504/46580625$	$0.99302$	$2.76234$	$[0, -1, 0, -390, 1512]$	\(y^2=x^3-x^2-390x+1512\)	2.6.0.a.1, 4.12.0-2.a.1.1, 56.24.0-56.a.1.4, 156.24.0.?, 2184.48.0.?	$[(-6, 60)]$	$1$
43680.cd3	43680ce1	43680.cd	43680ce	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{6} \cdot 3^{2} \cdot 5^{4} \cdot 7^{2} \cdot 13^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$2184$	$48$	$0$	$1.733267475$	$1$		$7$	$24576$	$0.513090$	$102766285504/46580625$	$0.99302$	$2.76234$	$[0, 1, 0, -390, -1512]$	\(y^2=x^3+x^2-390x-1512\)	2.6.0.a.1, 4.12.0-2.a.1.1, 56.24.0-56.a.1.1, 156.24.0.?, 2184.48.0.?	$[(36, 180)]$	$1$
87360.k2	87360dv2	87360.k	87360dv	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{12} \cdot 3^{2} \cdot 5^{4} \cdot 7^{2} \cdot 13^{2} \)	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$2184$	$48$	$0$	$2.758780267$	$1$		$25$	$98304$	$0.859664$	$102766285504/46580625$	$0.99302$	$2.95958$	$[0, -1, 0, -1561, -10535]$	\(y^2=x^3-x^2-1561x-10535\)	2.6.0.a.1, 8.12.0-2.a.1.1, 28.12.0-2.a.1.1, 56.24.0-56.a.1.2, 156.12.0.?, $\ldots$	$[(-9, 52), (56, 273)]$	$1$
87360.ev2	87360ga2	87360.ev	87360ga	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{12} \cdot 3^{2} \cdot 5^{4} \cdot 7^{2} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$2184$	$48$	$0$	$1$	$1$		$3$	$98304$	$0.859664$	$102766285504/46580625$	$0.99302$	$2.95958$	$[0, 1, 0, -1561, 10535]$	\(y^2=x^3+x^2-1561x+10535\)	2.6.0.a.1, 8.12.0-2.a.1.1, 28.12.0-2.a.1.1, 56.24.0-56.a.1.3, 156.12.0.?, $\ldots$	$[ ]$	$1$
131040.r3	131040dl1	131040.r	131040dl	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{6} \cdot 3^{8} \cdot 5^{4} \cdot 7^{2} \cdot 13^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$2184$	$48$	$0$	$2.326111880$	$1$		$7$	$196608$	$1.062397$	$102766285504/46580625$	$0.99302$	$3.06420$	$[0, 0, 0, -3513, 37312]$	\(y^2=x^3-3513x+37312\)	2.6.0.a.1, 12.12.0-2.a.1.1, 52.12.0-2.a.1.1, 56.12.0.a.1, 156.24.0.?, $\ldots$	$[(92, 702)]$	$1$
131040.ca3	131040cy1	131040.ca	131040cy	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{6} \cdot 3^{8} \cdot 5^{4} \cdot 7^{2} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$2184$	$48$	$0$	$1$	$1$		$3$	$196608$	$1.062397$	$102766285504/46580625$	$0.99302$	$3.06420$	$[0, 0, 0, -3513, -37312]$	\(y^2=x^3-3513x-37312\)	2.6.0.a.1, 12.12.0-2.a.1.1, 52.12.0-2.a.1.1, 56.12.0.a.1, 156.24.0.?, $\ldots$	$[ ]$	$1$
218400.ca3	218400fc1	218400.ca	218400fc	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{6} \cdot 3^{2} \cdot 5^{10} \cdot 7^{2} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$10920$	$48$	$0$	$1$	$1$		$3$	$589824$	$1.317808$	$102766285504/46580625$	$0.99302$	$3.18619$	$[0, -1, 0, -9758, -169488]$	\(y^2=x^3-x^2-9758x-169488\)	2.6.0.a.1, 20.12.0-2.a.1.1, 56.12.0.a.1, 156.12.0.?, 280.24.0.?, $\ldots$	$[ ]$	$1$
218400.do3	218400dz1	218400.do	218400dz	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{6} \cdot 3^{2} \cdot 5^{10} \cdot 7^{2} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$10920$	$48$	$0$	$1$	$1$		$3$	$589824$	$1.317808$	$102766285504/46580625$	$0.99302$	$3.18619$	$[0, 1, 0, -9758, 169488]$	\(y^2=x^3+x^2-9758x+169488\)	2.6.0.a.1, 20.12.0-2.a.1.1, 56.12.0.a.1, 156.12.0.?, 280.24.0.?, $\ldots$	$[ ]$	$1$
262080.ir2	262080ir2	262080.ir	262080ir	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{12} \cdot 3^{8} \cdot 5^{4} \cdot 7^{2} \cdot 13^{2} \)	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$2184$	$48$	$0$	$1.853001571$	$1$		$33$	$786432$	$1.408970$	$102766285504/46580625$	$0.99302$	$3.22730$	$[0, 0, 0, -14052, 298496]$	\(y^2=x^3-14052x+298496\)	2.6.0.a.1, 24.12.0-2.a.1.1, 56.12.0.a.1, 84.12.0.?, 104.12.0.?, $\ldots$	$[(2, 520), (-20, 756)]$	$1$
262080.lt2	262080lt2	262080.lt	262080lt	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{12} \cdot 3^{8} \cdot 5^{4} \cdot 7^{2} \cdot 13^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$2184$	$48$	$0$	$1.260759298$	$1$		$13$	$786432$	$1.408970$	$102766285504/46580625$	$0.99302$	$3.22730$	$[0, 0, 0, -14052, -298496]$	\(y^2=x^3-14052x-298496\)	2.6.0.a.1, 24.12.0-2.a.1.1, 56.12.0.a.1, 84.12.0.?, 104.12.0.?, $\ldots$	$[(-67, 585)]$	$1$
305760.x3	305760x1	305760.x	305760x	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{6} \cdot 3^{2} \cdot 5^{4} \cdot 7^{8} \cdot 13^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$2184$	$48$	$0$	$2.985631093$	$1$		$7$	$1179648$	$1.486046$	$102766285504/46580625$	$0.99302$	$3.26114$	$[0, -1, 0, -19126, 480376]$	\(y^2=x^3-x^2-19126x+480376\)	2.6.0.a.1, 8.12.0-2.a.1.1, 28.12.0-2.a.1.1, 56.24.0-56.a.1.2, 156.12.0.?, $\ldots$	$[(-100, 1176)]$	$1$
305760.ev3	305760ev1	305760.ev	305760ev	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{6} \cdot 3^{2} \cdot 5^{4} \cdot 7^{8} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$2184$	$48$	$0$	$1$	$1$		$3$	$1179648$	$1.486046$	$102766285504/46580625$	$0.99302$	$3.26114$	$[0, 1, 0, -19126, -480376]$	\(y^2=x^3+x^2-19126x-480376\)	2.6.0.a.1, 8.12.0-2.a.1.1, 28.12.0-2.a.1.1, 56.24.0-56.a.1.3, 156.12.0.?, $\ldots$	$[ ]$	$1$
436800.de2	436800de2	436800.de	436800de	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{12} \cdot 3^{2} \cdot 5^{10} \cdot 7^{2} \cdot 13^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$10920$	$48$	$0$	$2.410089028$	$1$		$9$	$2359296$	$1.664383$	$102766285504/46580625$	$0.99302$	$3.33636$	$[0, -1, 0, -39033, 1394937]$	\(y^2=x^3-x^2-39033x+1394937\)	2.6.0.a.1, 40.12.0-2.a.1.1, 56.12.0.a.1, 140.12.0.?, 156.12.0.?, $\ldots$	$[(27, 600)]$	$1$
436800.sb2	436800sb2	436800.sb	436800sb	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{12} \cdot 3^{2} \cdot 5^{10} \cdot 7^{2} \cdot 13^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$10920$	$48$	$0$	$4.298937823$	$1$		$5$	$2359296$	$1.664383$	$102766285504/46580625$	$0.99302$	$3.33636$	$[0, 1, 0, -39033, -1394937]$	\(y^2=x^3+x^2-39033x-1394937\)	2.6.0.a.1, 40.12.0-2.a.1.1, 56.12.0.a.1, 140.12.0.?, 156.12.0.?, $\ldots$	$[(1173, 39600)]$	$1$

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