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
43680.y2	43680bq3	43680.y	43680bq	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{9} \cdot 3 \cdot 5^{8} \cdot 7 \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$2184$	$48$	$0$	$2.158654183$	$1$		$3$	$49152$	$0.859664$	$6562309703048/106640625$	$0.89188$	$3.34599$	$[0, -1, 0, -3120, -65100]$	\(y^2=x^3-x^2-3120x-65100\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 56.24.0-56.bb.1.13, 156.12.0.?, $\ldots$	$[(65, 50)]$
43680.cd2	43680ce3	43680.cd	43680ce	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{9} \cdot 3 \cdot 5^{8} \cdot 7 \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$2184$	$48$	$0$	$3.466534950$	$1$		$1$	$49152$	$0.859664$	$6562309703048/106640625$	$0.89188$	$3.34599$	$[0, 1, 0, -3120, 65100]$	\(y^2=x^3+x^2-3120x+65100\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 56.24.0-56.bb.1.5, 156.12.0.?, $\ldots$	$[(365/2, 5925/2)]$
87360.k1	87360dv4	87360.k	87360dv	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{15} \cdot 3 \cdot 5^{8} \cdot 7 \cdot 13 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$2184$	$48$	$0$	$11.03512106$	$1$		$9$	$196608$	$1.206238$	$6562309703048/106640625$	$0.89188$	$3.50767$	$[0, -1, 0, -12481, 533281]$	\(y^2=x^3-x^2-12481x+533281\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 28.12.0-4.c.1.1, 56.24.0-56.bb.1.9, $\ldots$	$[(75, 116), (80, 201)]$
87360.ev1	87360ga4	87360.ev	87360ga	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{15} \cdot 3 \cdot 5^{8} \cdot 7 \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$2184$	$48$	$0$	$1$	$4$	$2$	$1$	$196608$	$1.206238$	$6562309703048/106640625$	$0.89188$	$3.50767$	$[0, 1, 0, -12481, -533281]$	\(y^2=x^3+x^2-12481x-533281\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 28.12.0-4.c.1.2, 56.24.0-56.bb.1.1, $\ldots$	$[ ]$
131040.r2	131040dl4	131040.r	131040dl	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{9} \cdot 3^{7} \cdot 5^{8} \cdot 7 \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2184$	$48$	$0$	$4.652223761$	$4$	$2$	$3$	$393216$	$1.408970$	$6562309703048/106640625$	$0.89188$	$3.59343$	$[0, 0, 0, -28083, -1785782]$	\(y^2=x^3-28083x-1785782\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 52.12.0-4.c.1.1, 56.12.0.bb.1, $\ldots$	$[(218, 1566)]$
131040.ca2	131040cy2	131040.ca	131040cy	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{9} \cdot 3^{7} \cdot 5^{8} \cdot 7 \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2184$	$48$	$0$	$1$	$1$		$1$	$393216$	$1.408970$	$6562309703048/106640625$	$0.89188$	$3.59343$	$[0, 0, 0, -28083, 1785782]$	\(y^2=x^3-28083x+1785782\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 52.12.0-4.c.1.2, 56.12.0.bb.1, $\ldots$	$[ ]$
218400.ca2	218400fc2	218400.ca	218400fc	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{9} \cdot 3 \cdot 5^{14} \cdot 7 \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$10920$	$48$	$0$	$1$	$4$	$2$	$1$	$1179648$	$1.664383$	$6562309703048/106640625$	$0.89188$	$3.69343$	$[0, -1, 0, -78008, 8293512]$	\(y^2=x^3-x^2-78008x+8293512\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 56.12.0.bb.1, 280.24.0.?, $\ldots$	$[ ]$
218400.do2	218400dz4	218400.do	218400dz	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{9} \cdot 3 \cdot 5^{14} \cdot 7 \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$10920$	$48$	$0$	$1$	$4$	$2$	$1$	$1179648$	$1.664383$	$6562309703048/106640625$	$0.89188$	$3.69343$	$[0, 1, 0, -78008, -8293512]$	\(y^2=x^3+x^2-78008x-8293512\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 56.12.0.bb.1, 280.24.0.?, $\ldots$	$[ ]$
262080.ir1	262080ir4	262080.ir	262080ir	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{15} \cdot 3^{7} \cdot 5^{8} \cdot 7 \cdot 13 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2184$	$48$	$0$	$1.853001571$	$1$		$21$	$1572864$	$1.755543$	$6562309703048/106640625$	$0.89188$	$3.72713$	$[0, 0, 0, -112332, -14286256]$	\(y^2=x^3-112332x-14286256\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 56.12.0.bb.1, 84.12.0.?, $\ldots$	$[(538, 9000), (1258, 42840)]$
262080.lt1	262080lt3	262080.lt	262080lt	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{15} \cdot 3^{7} \cdot 5^{8} \cdot 7 \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2184$	$48$	$0$	$2.521518596$	$1$		$5$	$1572864$	$1.755543$	$6562309703048/106640625$	$0.89188$	$3.72713$	$[0, 0, 0, -112332, 14286256]$	\(y^2=x^3-112332x+14286256\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 56.12.0.bb.1, 84.12.0.?, $\ldots$	$[(312, 3100)]$
305760.x2	305760x4	305760.x	305760x	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{9} \cdot 3 \cdot 5^{8} \cdot 7^{7} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$2184$	$48$	$0$	$5.971262187$	$4$	$2$	$1$	$2359296$	$1.832619$	$6562309703048/106640625$	$0.89188$	$3.75487$	$[0, -1, 0, -152896, -22635080]$	\(y^2=x^3-x^2-152896x-22635080\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 56.24.0-56.bb.1.6, 312.24.0.?, $\ldots$	$[(7777/3, 597500/3)]$
305760.ev2	305760ev2	305760.ev	305760ev	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{9} \cdot 3 \cdot 5^{8} \cdot 7^{7} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$2184$	$48$	$0$	$1$	$1$		$1$	$2359296$	$1.832619$	$6562309703048/106640625$	$0.89188$	$3.75487$	$[0, 1, 0, -152896, 22635080]$	\(y^2=x^3+x^2-152896x+22635080\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 56.24.0-56.bb.1.14, 312.24.0.?, $\ldots$	$[ ]$
436800.de1	436800de4	436800.de	436800de	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{15} \cdot 3 \cdot 5^{14} \cdot 7 \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$10920$	$48$	$0$	$4.820178056$	$4$	$2$	$3$	$4718592$	$2.010956$	$6562309703048/106640625$	$0.89188$	$3.81653$	$[0, -1, 0, -312033, -66036063]$	\(y^2=x^3-x^2-312033x-66036063\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.4, 56.12.0.bb.1, 140.12.0.?, $\ldots$	$[(-337, 856)]$
436800.sb1	436800sb3	436800.sb	436800sb	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{15} \cdot 3 \cdot 5^{14} \cdot 7 \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$10920$	$48$	$0$	$8.597875646$	$1$		$1$	$4718592$	$2.010956$	$6562309703048/106640625$	$0.89188$	$3.81653$	$[0, 1, 0, -312033, 66036063]$	\(y^2=x^3+x^2-312033x+66036063\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.4, 56.12.0.bb.1, 140.12.0.?, $\ldots$	$[(10921/3, 1037168/3)]$

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