Elliptic curve search results

Results (14 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
14490.o2	14490d2	14490.o	14490d	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{2} \cdot 3^{9} \cdot 5^{6} \cdot 7 \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$1$	$1$		$0$	$27648$	$1.112358$	$79119341757/231437500$	$0.97367$	$3.79718$	$[1, -1, 0, 2415, -92575]$	\(y^2+xy=x^3-x^2+2415x-92575\)	2.3.0.a.1, 84.6.0.?, 1380.6.0.?, 3220.6.0.?, 9660.12.0.?	$[]$
14490.bw2	14490bk2	14490.bw	14490bk	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{2} \cdot 3^{3} \cdot 5^{6} \cdot 7 \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$0.676534266$	$1$		$4$	$9216$	$0.563052$	$79119341757/231437500$	$0.97367$	$3.10920$	$[1, -1, 1, 268, 3339]$	\(y^2+xy+y=x^3-x^2+268x+3339\)	2.3.0.a.1, 84.6.0.?, 1380.6.0.?, 3220.6.0.?, 9660.12.0.?	$[(-3, 51)]$
72450.h2	72450d2	72450.h	72450d	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{2} \cdot 3^{3} \cdot 5^{12} \cdot 7 \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$1.189988058$	$1$		$6$	$221184$	$1.367771$	$79119341757/231437500$	$0.97367$	$3.52496$	$[1, -1, 0, 6708, 424116]$	\(y^2+xy=x^3-x^2+6708x+424116\)	2.3.0.a.1, 84.6.0.?, 1380.6.0.?, 3220.6.0.?, 9660.12.0.?	$[(39, 843)]$
72450.dm2	72450co2	72450.dm	72450co	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{2} \cdot 3^{9} \cdot 5^{12} \cdot 7 \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$6.908897522$	$1$		$2$	$663552$	$1.917078$	$79119341757/231437500$	$0.97367$	$4.11399$	$[1, -1, 1, 60370, -11511503]$	\(y^2+xy+y=x^3-x^2+60370x-11511503\)	2.3.0.a.1, 84.6.0.?, 1380.6.0.?, 3220.6.0.?, 9660.12.0.?	$[(1265, 45061)]$
101430.cn2	101430n2	101430.cn	101430n	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{2} \cdot 3^{9} \cdot 5^{6} \cdot 7^{7} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$0.553644687$	$1$		$8$	$1327104$	$2.085312$	$79119341757/231437500$	$0.97367$	$4.16904$	$[1, -1, 0, 118326, 31516568]$	\(y^2+xy=x^3-x^2+118326x+31516568\)	2.3.0.a.1, 84.6.0.?, 1380.6.0.?, 3220.6.0.?, 9660.12.0.?	$[(2, 5634)]$
101430.da2	101430db2	101430.da	101430db	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{2} \cdot 3^{3} \cdot 5^{6} \cdot 7^{7} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$1$	$1$		$0$	$442368$	$1.536007$	$79119341757/231437500$	$0.97367$	$3.59720$	$[1, -1, 1, 13147, -1171663]$	\(y^2+xy+y=x^3-x^2+13147x-1171663\)	2.3.0.a.1, 84.6.0.?, 1380.6.0.?, 3220.6.0.?, 9660.12.0.?	$[]$
115920.f2	115920cd2	115920.f	115920cd	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{14} \cdot 3^{9} \cdot 5^{6} \cdot 7 \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$4.936795242$	$1$		$5$	$663552$	$1.805506$	$79119341757/231437500$	$0.97367$	$3.83335$	$[0, 0, 0, 38637, 5886162]$	\(y^2=x^3+38637x+5886162\)	2.3.0.a.1, 84.6.0.?, 1380.6.0.?, 3220.6.0.?, 9660.12.0.?	$[(-113, 278)]$
115920.dq2	115920cm2	115920.dq	115920cm	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{14} \cdot 3^{3} \cdot 5^{6} \cdot 7 \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$1.895640989$	$1$		$5$	$221184$	$1.256199$	$79119341757/231437500$	$0.97367$	$3.26806$	$[0, 0, 0, 4293, -218006]$	\(y^2=x^3+4293x-218006\)	2.3.0.a.1, 84.6.0.?, 1380.6.0.?, 3220.6.0.?, 9660.12.0.?	$[(63, 550)]$
333270.bm2	333270bm2	333270.bm	333270bm	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \)	\( - 2^{2} \cdot 3^{9} \cdot 5^{6} \cdot 7 \cdot 23^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$1.325081192$	$1$		$6$	$14598144$	$2.680107$	$79119341757/231437500$	$0.97367$	$4.34032$	$[1, -1, 0, 1277436, 1118695220]$	\(y^2+xy=x^3-x^2+1277436x+1118695220\)	2.3.0.a.1, 84.6.0.?, 1380.6.0.?, 3220.6.0.?, 9660.12.0.?	$[(121, 35647)]$
333270.dj2	333270dj2	333270.dj	333270dj	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \)	\( - 2^{2} \cdot 3^{3} \cdot 5^{6} \cdot 7 \cdot 23^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$11.80041755$	$1$		$0$	$4866048$	$2.130798$	$79119341757/231437500$	$0.97367$	$3.82197$	$[1, -1, 1, 141937, -41480469]$	\(y^2+xy+y=x^3-x^2+141937x-41480469\)	2.3.0.a.1, 84.6.0.?, 1380.6.0.?, 3220.6.0.?, 9660.12.0.?	$[(145539/13, 57958272/13)]$
463680.o2	463680o2	463680.o	463680o	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{20} \cdot 3^{3} \cdot 5^{6} \cdot 7 \cdot 23^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$6.915584428$	$1$		$11$	$1769472$	$1.602774$	$79119341757/231437500$	$0.97367$	$3.23958$	$[0, 0, 0, 17172, -1744048]$	\(y^2=x^3+17172x-1744048\)	2.3.0.a.1, 84.6.0.?, 1380.6.0.?, 3220.6.0.?, 9660.12.0.?	$[(122, 1472), (8458/3, 784576/3)]$
463680.gv2	463680gv2	463680.gv	463680gv	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{20} \cdot 3^{3} \cdot 5^{6} \cdot 7 \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$5.534431089$	$1$		$3$	$1769472$	$1.602774$	$79119341757/231437500$	$0.97367$	$3.23958$	$[0, 0, 0, 17172, 1744048]$	\(y^2=x^3+17172x+1744048\)	2.3.0.a.1, 84.6.0.?, 1380.6.0.?, 3220.6.0.?, 9660.12.0.?	$[(408, 8756)]$
463680.kn2	463680kn2	463680.kn	463680kn	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{20} \cdot 3^{9} \cdot 5^{6} \cdot 7 \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$1$	$1$		$1$	$5308416$	$2.152081$	$79119341757/231437500$	$0.97367$	$3.74480$	$[0, 0, 0, 154548, 47089296]$	\(y^2=x^3+154548x+47089296\)	2.3.0.a.1, 84.6.0.?, 1380.6.0.?, 3220.6.0.?, 9660.12.0.?	$[]$
463680.ll2	463680ll2	463680.ll	463680ll	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{20} \cdot 3^{9} \cdot 5^{6} \cdot 7 \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$5.744023208$	$1$		$1$	$5308416$	$2.152081$	$79119341757/231437500$	$0.97367$	$3.74480$	$[0, 0, 0, 154548, -47089296]$	\(y^2=x^3+154548x-47089296\)	2.3.0.a.1, 84.6.0.?, 1380.6.0.?, 3220.6.0.?, 9660.12.0.?	$[(2452/3, 105400/3)]$