Elliptic curve search results

Results (8 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
34760.h2	34760l3	34760.h	34760l	$4$	$4$	\( 2^{3} \cdot 5 \cdot 11 \cdot 79 \)	\( 2^{11} \cdot 5^{2} \cdot 11^{8} \cdot 79 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.103	2B	$632$	$48$	$0$	$10.59417346$	$1$		$1$	$139264$	$1.680750$	$38257268424094242/423358789975$	$0.95228$	$4.38091$	$[0, 0, 0, -89147, 10146486]$	\(y^2=x^3-89147x+10146486\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.7, 316.12.0.?, 632.48.0.?	$[(130497/26, 6364905/26)]$
69520.s2	69520p3	69520.s	69520p	$4$	$4$	\( 2^{4} \cdot 5 \cdot 11 \cdot 79 \)	\( 2^{11} \cdot 5^{2} \cdot 11^{8} \cdot 79 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.101	2B	$632$	$48$	$0$	$2.412083070$	$1$		$11$	$278528$	$1.680750$	$38257268424094242/423358789975$	$0.95228$	$4.10855$	$[0, 0, 0, -89147, -10146486]$	\(y^2=x^3-89147x-10146486\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.5, 316.12.0.?, 632.48.0.?	$[(-175, 308), (903, 25410)]$
173800.n2	173800u3	173800.n	173800u	$4$	$4$	\( 2^{3} \cdot 5^{2} \cdot 11 \cdot 79 \)	\( 2^{11} \cdot 5^{8} \cdot 11^{8} \cdot 79 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.9	2B	$3160$	$48$	$0$	$27.96500966$	$1$		$1$	$3342336$	$2.485470$	$38257268424094242/423358789975$	$0.95228$	$4.59688$	$[0, 0, 0, -2228675, 1268310750]$	\(y^2=x^3-2228675x+1268310750\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 40.24.0-8.p.1.4, 632.24.0.?, $\ldots$	$[(7842430784545/71982, 13766969153044266425/71982)]$
278080.bm2	278080bm4	278080.bm	278080bm	$4$	$4$	\( 2^{6} \cdot 5 \cdot 11 \cdot 79 \)	\( 2^{17} \cdot 5^{2} \cdot 11^{8} \cdot 79 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.60	2B	$632$	$48$	$0$	$12.65595766$	$1$		$1$	$2228224$	$2.027325$	$38257268424094242/423358789975$	$0.95228$	$3.98596$	$[0, 0, 0, -356588, -81171888]$	\(y^2=x^3-356588x-81171888\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.p.1.3, 632.48.0.?	$[(-482063/36, 2194633/36)]$
278080.bo2	278080bo3	278080.bo	278080bo	$4$	$4$	\( 2^{6} \cdot 5 \cdot 11 \cdot 79 \)	\( 2^{17} \cdot 5^{2} \cdot 11^{8} \cdot 79 \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.50	2B	$632$	$48$	$0$	$1$	$1$		$3$	$2228224$	$2.027325$	$38257268424094242/423358789975$	$0.95228$	$3.98596$	$[0, 0, 0, -356588, 81171888]$	\(y^2=x^3-356588x+81171888\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.p.1.1, 632.48.0.?	$[ ]$
312840.m2	312840m4	312840.m	312840m	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 79 \)	\( 2^{11} \cdot 3^{6} \cdot 5^{2} \cdot 11^{8} \cdot 79 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.9	2B	$1896$	$48$	$0$	$6.441321748$	$1$		$1$	$4456448$	$2.230057$	$38257268424094242/423358789975$	$0.95228$	$4.14112$	$[0, 0, 0, -802323, -273955122]$	\(y^2=x^3-802323x-273955122\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 24.24.0-8.p.1.5, 632.24.0.?, $\ldots$	$[(-32687/8, 824615/8)]$
347600.bj2	347600bj4	347600.bj	347600bj	$4$	$4$	\( 2^{4} \cdot 5^{2} \cdot 11 \cdot 79 \)	\( 2^{11} \cdot 5^{8} \cdot 11^{8} \cdot 79 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.9	2B	$3160$	$48$	$0$	$8.577618437$	$1$		$1$	$6684672$	$2.485470$	$38257268424094242/423358789975$	$0.95228$	$4.34714$	$[0, 0, 0, -2228675, -1268310750]$	\(y^2=x^3-2228675x-1268310750\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 40.24.0-8.p.1.2, 632.24.0.?, $\ldots$	$[(-7214/3, 47566/3)]$
382360.j2	382360j4	382360.j	382360j	$4$	$4$	\( 2^{3} \cdot 5 \cdot 11^{2} \cdot 79 \)	\( 2^{11} \cdot 5^{2} \cdot 11^{14} \cdot 79 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.9	2B	$6952$	$48$	$0$	$1$	$16$	$2$	$1$	$16711680$	$2.879700$	$38257268424094242/423358789975$	$0.95228$	$4.68294$	$[0, 0, 0, -10786787, -13504972866]$	\(y^2=x^3-10786787x-13504972866\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 88.24.0.?, 632.24.0.?, $\ldots$	$[ ]$

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