Elliptic curve search results

Results (14 matches)

  Download displayed columns for results to

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.y4	43680bq2	43680.y	43680bq	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{9} \cdot 3^{4} \cdot 5^{2} \cdot 7 \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$2184$	$48$	$0$	$2.158654183$	$1$		$3$	$49152$	$0.859664$	$542939080312/404852175$	$0.89741$	$3.11275$	$[0, -1, 0, 1360, 9912]$	\(y^2=x^3-x^2+1360x+9912\)	2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.v.1.1, 312.24.0.?, 2184.48.0.?	$[(29, 270)]$
43680.cd4	43680ce2	43680.cd	43680ce	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{9} \cdot 3^{4} \cdot 5^{2} \cdot 7 \cdot 13^{4} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$2184$	$48$	$0$	$3.466534950$	$1$		$5$	$49152$	$0.859664$	$542939080312/404852175$	$0.89741$	$3.11275$	$[0, 1, 0, 1360, -9912]$	\(y^2=x^3+x^2+1360x-9912\)	2.3.0.a.1, 4.12.0-4.c.1.1, 56.24.0-56.v.1.4, 312.24.0.?, 2184.48.0.?	$[(982, 30810)]$
87360.k4	87360dv3	87360.k	87360dv	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{15} \cdot 3^{4} \cdot 5^{2} \cdot 7 \cdot 13^{4} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$2184$	$48$	$0$	$2.758780267$	$1$		$19$	$196608$	$1.206238$	$542939080312/404852175$	$0.89741$	$3.28864$	$[0, -1, 0, 5439, -84735]$	\(y^2=x^3-x^2+5439x-84735\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 28.12.0-4.c.1.2, 56.24.0-56.v.1.3, $\ldots$	$[(33, 360), (113, 1400)]$
87360.ev4	87360ga3	87360.ev	87360ga	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{15} \cdot 3^{4} \cdot 5^{2} \cdot 7 \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$2184$	$48$	$0$	$1$	$1$		$1$	$196608$	$1.206238$	$542939080312/404852175$	$0.89741$	$3.28864$	$[0, 1, 0, 5439, 84735]$	\(y^2=x^3+x^2+5439x+84735\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 28.12.0-4.c.1.1, 56.24.0-56.v.1.2, $\ldots$	$[ ]$
131040.r4	131040dl3	131040.r	131040dl	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{9} \cdot 3^{10} \cdot 5^{2} \cdot 7 \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2184$	$48$	$0$	$1.163055940$	$1$		$5$	$393216$	$1.408970$	$542939080312/404852175$	$0.89741$	$3.38194$	$[0, 0, 0, 12237, 279862]$	\(y^2=x^3+12237x+279862\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0.v.1, 104.12.0.?, $\ldots$	$[(17, 702)]$
131040.ca4	131040cy3	131040.ca	131040cy	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{9} \cdot 3^{10} \cdot 5^{2} \cdot 7 \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2184$	$48$	$0$	$1$	$1$		$1$	$393216$	$1.408970$	$542939080312/404852175$	$0.89741$	$3.38194$	$[0, 0, 0, 12237, -279862]$	\(y^2=x^3+12237x-279862\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 56.12.0.v.1, 104.12.0.?, $\ldots$	$[ ]$
218400.ca4	218400fc3	218400.ca	218400fc	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{9} \cdot 3^{4} \cdot 5^{8} \cdot 7 \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$10920$	$48$	$0$	$1$	$1$		$1$	$1179648$	$1.664383$	$542939080312/404852175$	$0.89741$	$3.49072$	$[0, -1, 0, 33992, -1306988]$	\(y^2=x^3-x^2+33992x-1306988\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 56.12.0.v.1, 280.24.0.?, $\ldots$	$[ ]$
218400.do4	218400dz3	218400.do	218400dz	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{9} \cdot 3^{4} \cdot 5^{8} \cdot 7 \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$10920$	$48$	$0$	$1$	$1$		$1$	$1179648$	$1.664383$	$542939080312/404852175$	$0.89741$	$3.49072$	$[0, 1, 0, 33992, 1306988]$	\(y^2=x^3+x^2+33992x+1306988\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 56.12.0.v.1, 280.24.0.?, $\ldots$	$[ ]$
262080.ir4	262080ir3	262080.ir	262080ir	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{15} \cdot 3^{10} \cdot 5^{2} \cdot 7 \cdot 13^{4} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2184$	$48$	$0$	$7.412006284$	$1$		$11$	$1572864$	$1.755543$	$542939080312/404852175$	$0.89741$	$3.52739$	$[0, 0, 0, 48948, 2238896]$	\(y^2=x^3+48948x+2238896\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 56.12.0.v.1, 84.12.0.?, $\ldots$	$[(37, 2025), (280, 6156)]$
262080.lt4	262080lt4	262080.lt	262080lt	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{15} \cdot 3^{10} \cdot 5^{2} \cdot 7 \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2184$	$48$	$0$	$2.521518596$	$1$		$5$	$1572864$	$1.755543$	$542939080312/404852175$	$0.89741$	$3.52739$	$[0, 0, 0, 48948, -2238896]$	\(y^2=x^3+48948x-2238896\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 56.12.0.v.1, 84.12.0.?, $\ldots$	$[(213, 4225)]$
305760.x4	305760x3	305760.x	305760x	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{9} \cdot 3^{4} \cdot 5^{2} \cdot 7^{7} \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$2184$	$48$	$0$	$1.492815546$	$1$		$3$	$2359296$	$1.832619$	$542939080312/404852175$	$0.89741$	$3.55757$	$[0, -1, 0, 66624, 3533076]$	\(y^2=x^3-x^2+66624x+3533076\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 28.12.0-4.c.1.2, 56.24.0-56.v.1.3, $\ldots$	$[(516, 13230)]$
305760.ev4	305760ev3	305760.ev	305760ev	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{9} \cdot 3^{4} \cdot 5^{2} \cdot 7^{7} \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$2184$	$48$	$0$	$1$	$1$		$1$	$2359296$	$1.832619$	$542939080312/404852175$	$0.89741$	$3.55757$	$[0, 1, 0, 66624, -3533076]$	\(y^2=x^3+x^2+66624x-3533076\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 28.12.0-4.c.1.1, 56.24.0-56.v.1.2, $\ldots$	$[ ]$
436800.de4	436800de3	436800.de	436800de	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{15} \cdot 3^{4} \cdot 5^{8} \cdot 7 \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$10920$	$48$	$0$	$1.205044514$	$1$		$7$	$4718592$	$2.010956$	$542939080312/404852175$	$0.89741$	$3.62464$	$[0, -1, 0, 135967, 10319937]$	\(y^2=x^3-x^2+135967x+10319937\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.1, 56.12.0.v.1, 140.12.0.?, $\ldots$	$[(187, 6500)]$
436800.sb4	436800sb4	436800.sb	436800sb	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{15} \cdot 3^{4} \cdot 5^{8} \cdot 7 \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$10920$	$48$	$0$	$2.149468911$	$1$		$3$	$4718592$	$2.010956$	$542939080312/404852175$	$0.89741$	$3.62464$	$[0, 1, 0, 135967, -10319937]$	\(y^2=x^3+x^2+135967x-10319937\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.2, 56.12.0.v.1, 140.12.0.?, $\ldots$	$[(1113, 39000)]$

  Download displayed columns for results to