Elliptic curve search results

Results (15 matches)

 

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
4641.c2	4641a2	4641.c	4641a	$4$	$4$	\( 3 \cdot 7 \cdot 13 \cdot 17 \)	\( 3^{2} \cdot 7^{2} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.1	2Cs	$18564$	$48$	$0$	$3.113515195$	$1$		$6$	$2560$	$0.475369$	$409460675852593/21538881$	$0.90509$	$3.98521$	$[1, 1, 1, -1547, -24064]$	\(y^2+xy+y=x^3+x^2-1547x-24064\)	2.6.0.a.1, 4.12.0-2.a.1.1, 68.24.0-68.a.1.2, 1092.24.0.?, 18564.48.0.?	$[(58, 263)]$
13923.g2	13923g2	13923.g	13923g	$4$	$4$	\( 3^{2} \cdot 7 \cdot 13 \cdot 17 \)	\( 3^{8} \cdot 7^{2} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$18564$	$48$	$0$	$1.761835037$	$1$		$6$	$20480$	$1.024675$	$409460675852593/21538881$	$0.90509$	$4.21720$	$[1, -1, 0, -13923, 635800]$	\(y^2+xy=x^3-x^2-13923x+635800\)	2.6.0.a.1, 12.12.0-2.a.1.1, 68.12.0.a.1, 204.24.0.?, 364.12.0.?, $\ldots$	$[(72, 16)]$
32487.d2	32487n2	32487.d	32487n	$4$	$4$	\( 3 \cdot 7^{2} \cdot 13 \cdot 17 \)	\( 3^{2} \cdot 7^{8} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$18564$	$48$	$0$	$2.207933288$	$1$		$6$	$122880$	$1.448324$	$409460675852593/21538881$	$0.90509$	$4.36260$	$[1, 0, 0, -75804, 8026479]$	\(y^2+xy=x^3-75804x+8026479\)	2.6.0.a.1, 28.12.0-2.a.1.1, 68.12.0.a.1, 156.12.0.?, 476.24.0.?, $\ldots$	$[(141, 312)]$
60333.k2	60333e2	60333.k	60333e	$4$	$4$	\( 3 \cdot 7 \cdot 13^{2} \cdot 17 \)	\( 3^{2} \cdot 7^{2} \cdot 13^{8} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$18564$	$48$	$0$	$7.843505190$	$1$		$2$	$430080$	$1.757843$	$409460675852593/21538881$	$0.90509$	$4.45469$	$[1, 1, 0, -261446, -51560985]$	\(y^2+xy=x^3+x^2-261446x-51560985\)	2.6.0.a.1, 52.12.0-2.a.1.1, 68.12.0.a.1, 84.12.0.?, 884.24.0.?, $\ldots$	$[(30478/3, 5211535/3)]$
74256.cw2	74256dc2	74256.cw	74256dc	$4$	$4$	\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \)	\( 2^{12} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$18564$	$48$	$0$	$1$	$1$		$3$	$163840$	$1.168516$	$409460675852593/21538881$	$0.90509$	$3.74165$	$[0, 1, 0, -24752, 1490580]$	\(y^2=x^3+x^2-24752x+1490580\)	2.6.0.a.1, 4.12.0-2.a.1.1, 68.24.0-68.a.1.1, 1092.24.0.?, 18564.48.0.?	$[]$
78897.f2	78897m2	78897.f	78897m	$4$	$4$	\( 3 \cdot 7 \cdot 13 \cdot 17^{2} \)	\( 3^{2} \cdot 7^{2} \cdot 13^{2} \cdot 17^{8} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$18564$	$48$	$0$	$1$	$4$	$2$	$2$	$737280$	$1.891975$	$409460675852593/21538881$	$0.90509$	$4.49145$	$[1, 0, 0, -447089, -115095936]$	\(y^2+xy=x^3-447089x-115095936\)	2.6.0.a.1, 4.12.0-2.a.1.1, 68.24.0-68.a.1.1, 1092.24.0.?, 18564.48.0.?	$[]$
97461.v2	97461k2	97461.v	97461k	$4$	$4$	\( 3^{2} \cdot 7^{2} \cdot 13 \cdot 17 \)	\( 3^{8} \cdot 7^{8} \cdot 13^{2} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$18564$	$48$	$0$	$1$	$4$	$2$	$2$	$983040$	$1.997631$	$409460675852593/21538881$	$0.90509$	$4.51920$	$[1, -1, 0, -682236, -216714933]$	\(y^2+xy=x^3-x^2-682236x-216714933\)	2.6.0.a.1, 52.12.0-2.a.1.1, 68.12.0.a.1, 84.12.0.?, 884.24.0.?, $\ldots$	$[]$
116025.bs2	116025bf2	116025.bs	116025bf	$4$	$4$	\( 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 \)	\( 3^{2} \cdot 5^{6} \cdot 7^{2} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$92820$	$48$	$0$	$8.603554167$	$1$		$2$	$327680$	$1.280088$	$409460675852593/21538881$	$0.90509$	$3.71327$	$[1, 0, 1, -38676, -2930627]$	\(y^2+xy+y=x^3-38676x-2930627\)	2.6.0.a.1, 20.12.0-2.a.1.1, 68.12.0.a.1, 340.24.0.?, 1092.12.0.?, $\ldots$	$[(22139/5, 3149778/5)]$
180999.i2	180999h2	180999.i	180999h	$4$	$4$	\( 3^{2} \cdot 7 \cdot 13^{2} \cdot 17 \)	\( 3^{8} \cdot 7^{2} \cdot 13^{8} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$18564$	$48$	$0$	$4.889705110$	$1$		$4$	$3440640$	$2.307152$	$409460675852593/21538881$	$0.90509$	$4.59492$	$[1, -1, 1, -2353019, 1389793578]$	\(y^2+xy+y=x^3-x^2-2353019x+1389793578\)	2.6.0.a.1, 28.12.0-2.a.1.1, 68.12.0.a.1, 156.12.0.?, 476.24.0.?, $\ldots$	$[(-496, 49590)]$
222768.br2	222768n2	222768.br	222768n	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \)	\( 2^{12} \cdot 3^{8} \cdot 7^{2} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$18564$	$48$	$0$	$3.640348439$	$1$		$7$	$1310720$	$1.717823$	$409460675852593/21538881$	$0.90509$	$3.94313$	$[0, 0, 0, -222771, -40468430]$	\(y^2=x^3-222771x-40468430\)	2.6.0.a.1, 12.12.0-2.a.1.1, 68.12.0.a.1, 204.24.0.?, 364.12.0.?, $\ldots$	$[(818, 18018)]$
236691.u2	236691u2	236691.u	236691u	$4$	$4$	\( 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( 3^{8} \cdot 7^{2} \cdot 13^{2} \cdot 17^{8} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$18564$	$48$	$0$	$1$	$4$	$2$	$2$	$5898240$	$2.441280$	$409460675852593/21538881$	$0.90509$	$4.62538$	$[1, -1, 0, -4023801, 3107590272]$	\(y^2+xy=x^3-x^2-4023801x+3107590272\)	2.6.0.a.1, 12.12.0-2.a.1.1, 68.12.0.a.1, 204.24.0.?, 364.12.0.?, $\ldots$	$[]$
297024.x2	297024x2	297024.x	297024x	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \)	\( 2^{18} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$37128$	$48$	$0$	$1$	$1$		$3$	$1310720$	$1.515089$	$409460675852593/21538881$	$0.90509$	$3.66006$	$[0, -1, 0, -99009, 12023649]$	\(y^2=x^3-x^2-99009x+12023649\)	2.6.0.a.1, 8.12.0-2.a.1.1, 68.12.0.a.1, 136.24.0.?, 1092.12.0.?, $\ldots$	$[]$
297024.ej2	297024ej2	297024.ej	297024ej	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \)	\( 2^{18} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$37128$	$48$	$0$	$4.278399178$	$1$		$7$	$1310720$	$1.515089$	$409460675852593/21538881$	$0.90509$	$3.66006$	$[0, 1, 0, -99009, -12023649]$	\(y^2=x^3+x^2-99009x-12023649\)	2.6.0.a.1, 8.12.0-2.a.1.1, 68.12.0.a.1, 136.24.0.?, 1092.12.0.?, $\ldots$	$[(395, 3264)]$
348075.s2	348075s2	348075.s	348075s	$4$	$4$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 \)	\( 3^{8} \cdot 5^{6} \cdot 7^{2} \cdot 13^{2} \cdot 17^{2} \)	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$92820$	$48$	$0$	$2.310310053$	$1$		$26$	$2621440$	$1.829393$	$409460675852593/21538881$	$0.90509$	$3.91015$	$[1, -1, 1, -348080, 79126922]$	\(y^2+xy+y=x^3-x^2-348080x+79126922\)	2.6.0.a.1, 60.12.0-2.a.1.1, 68.12.0.a.1, 1020.24.0.?, 1092.12.0.?, $\ldots$	$[(264, 2230), (348, 46)]$
422331.bw2	422331bw2	422331.bw	422331bw	$4$	$4$	\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \)	\( 3^{2} \cdot 7^{8} \cdot 13^{8} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$18564$	$48$	$0$	$12.72841717$	$1$		$2$	$20643840$	$2.730801$	$409460675852593/21538881$	$0.90509$	$4.68683$	$[1, 0, 1, -12810880, 17646985241]$	\(y^2+xy+y=x^3-12810880x+17646985241\)	2.6.0.a.1, 12.12.0-2.a.1.1, 68.12.0.a.1, 204.24.0.?, 364.12.0.?, $\ldots$	$[(12807847/79, -178883356/79)]$