Elliptic curve search results

Results (26 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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
8736.j2	8736o1	8736.j	8736o	$2$	$2$	\( 2^{5} \cdot 3 \cdot 7 \cdot 13 \)	\( - 2^{6} \cdot 3 \cdot 7^{2} \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1092$	$12$	$0$	$2.436033638$	$1$		$5$	$7680$	$0.913548$	$-232245467895232/709540923$	$1.08656$	$4.10381$	$1$	$[0, -1, 0, -5122, -139772]$	\(y^2=x^3-x^2-5122x-139772\)	2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.?	$[(96, 494)]$	$1$
8736.y2	8736z1	8736.y	8736z	$2$	$2$	\( 2^{5} \cdot 3 \cdot 7 \cdot 13 \)	\( - 2^{6} \cdot 3 \cdot 7^{2} \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1092$	$12$	$0$	$0.877202454$	$1$		$5$	$7680$	$0.913548$	$-232245467895232/709540923$	$1.08656$	$4.10381$	$1$	$[0, 1, 0, -5122, 139772]$	\(y^2=x^3+x^2-5122x+139772\)	2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.?	$[(34, 78)]$	$1$
17472.k2	17472ce2	17472.k	17472ce	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 13 \)	\( - 2^{12} \cdot 3 \cdot 7^{2} \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1092$	$12$	$0$	$2.141447494$	$1$		$3$	$30720$	$1.260120$	$-232245467895232/709540923$	$1.08656$	$4.23836$	$1$	$[0, -1, 0, -20489, 1138665]$	\(y^2=x^3-x^2-20489x+1138665\)	2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.?	$[(87, 84)]$	$1$
17472.bx2	17472cn2	17472.bx	17472cn	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 13 \)	\( - 2^{12} \cdot 3 \cdot 7^{2} \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1092$	$12$	$0$	$12.06215888$	$1$		$1$	$30720$	$1.260120$	$-232245467895232/709540923$	$1.08656$	$4.23836$	$1$	$[0, 1, 0, -20489, -1138665]$	\(y^2=x^3+x^2-20489x-1138665\)	2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.?	$[(846633/29, 771046332/29)]$	$1$
26208.k2	26208m1	26208.k	26208m	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \)	\( - 2^{6} \cdot 3^{7} \cdot 7^{2} \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1092$	$12$	$0$	$0.281937670$	$1$		$11$	$61440$	$1.462854$	$-232245467895232/709540923$	$1.08656$	$4.30857$	$1$	$[0, 0, 0, -46101, 3819944]$	\(y^2=x^3-46101x+3819944\)	2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.?	$[(25, 1638)]$	$1$
26208.q2	26208x1	26208.q	26208x	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \)	\( - 2^{6} \cdot 3^{7} \cdot 7^{2} \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1092$	$12$	$0$	$1$	$1$		$1$	$61440$	$1.462854$	$-232245467895232/709540923$	$1.08656$	$4.30857$	$1$	$[0, 0, 0, -46101, -3819944]$	\(y^2=x^3-46101x-3819944\)	2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.?	$[ ]$	$1$
52416.ey2	52416eq2	52416.ey	52416eq	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 13 \)	\( - 2^{12} \cdot 3^{7} \cdot 7^{2} \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1092$	$12$	$0$	$3.573389438$	$1$		$5$	$245760$	$1.809427$	$-232245467895232/709540923$	$1.08656$	$4.41646$	$1$	$[0, 0, 0, -184404, 30559552]$	\(y^2=x^3-184404x+30559552\)	2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.?	$[(-244, 7812)]$	$1$
52416.fl2	52416fx2	52416.fl	52416fx	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 13 \)	\( - 2^{12} \cdot 3^{7} \cdot 7^{2} \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1092$	$12$	$0$	$1$	$4$	$2$	$1$	$245760$	$1.809427$	$-232245467895232/709540923$	$1.08656$	$4.41646$	$1$	$[0, 0, 0, -184404, -30559552]$	\(y^2=x^3-184404x-30559552\)	2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.?	$[ ]$	$1$
61152.f2	61152bf1	61152.f	61152bf	$2$	$2$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 13 \)	\( - 2^{6} \cdot 3 \cdot 7^{8} \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1092$	$12$	$0$	$9.408707295$	$1$		$1$	$368640$	$1.886503$	$-232245467895232/709540923$	$1.08656$	$4.43861$	$1$	$[0, -1, 0, -250994, -48443772]$	\(y^2=x^3-x^2-250994x-48443772\)	2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.?	$[(118114/3, 40561514/3)]$	$1$
61152.bh2	61152bu1	61152.bh	61152bu	$2$	$2$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 13 \)	\( - 2^{6} \cdot 3 \cdot 7^{8} \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1092$	$12$	$0$	$1$	$1$		$1$	$368640$	$1.886503$	$-232245467895232/709540923$	$1.08656$	$4.43861$	$1$	$[0, 1, 0, -250994, 48443772]$	\(y^2=x^3+x^2-250994x+48443772\)	2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.?	$[ ]$	$1$
113568.k2	113568t1	113568.k	113568t	$2$	$2$	\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{6} \cdot 3 \cdot 7^{2} \cdot 13^{12} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1092$	$12$	$0$	$1$	$1$		$1$	$1290240$	$2.196022$	$-232245467895232/709540923$	$1.08656$	$4.52165$	$1$	$[0, -1, 0, -865674, -310541700]$	\(y^2=x^3-x^2-865674x-310541700\)	2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.?	$[ ]$	$1$
113568.bt2	113568bd1	113568.bt	113568bd	$2$	$2$	\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{6} \cdot 3 \cdot 7^{2} \cdot 13^{12} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1092$	$12$	$0$	$1$	$1$		$1$	$1290240$	$2.196022$	$-232245467895232/709540923$	$1.08656$	$4.52165$	$1$	$[0, 1, 0, -865674, 310541700]$	\(y^2=x^3+x^2-865674x+310541700\)	2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.?	$[ ]$	$1$
122304.dl2	122304gb2	122304.dl	122304gb	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \)	\( - 2^{12} \cdot 3 \cdot 7^{8} \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1092$	$12$	$0$	$1$	$1$		$1$	$1474560$	$2.233074$	$-232245467895232/709540923$	$1.08656$	$4.53100$	$1$	$[0, -1, 0, -1003977, 388554153]$	\(y^2=x^3-x^2-1003977x+388554153\)	2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.?	$[ ]$	$1$
122304.hr2	122304id2	122304.hr	122304id	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \)	\( - 2^{12} \cdot 3 \cdot 7^{8} \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1092$	$12$	$0$	$12.00017216$	$1$		$1$	$1474560$	$2.233074$	$-232245467895232/709540923$	$1.08656$	$4.53100$	$1$	$[0, 1, 0, -1003977, -388554153]$	\(y^2=x^3+x^2-1003977x-388554153\)	2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.?	$[(19651034/101, 71602786983/101)]$	$1$
183456.dg2	183456dm1	183456.dg	183456dm	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{6} \cdot 3^{7} \cdot 7^{8} \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1092$	$12$	$0$	$15.39611517$	$1$		$1$	$2949120$	$2.435810$	$-232245467895232/709540923$	$1.08656$	$4.58014$	$1$	$[0, 0, 0, -2258949, -1310240792]$	\(y^2=x^3-2258949x-1310240792\)	2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.?	$[(306152609/295, 4753352863602/295)]$	$1$
183456.dh2	183456dn1	183456.dh	183456dn	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{6} \cdot 3^{7} \cdot 7^{8} \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1092$	$12$	$0$	$2.301005494$	$1$		$3$	$2949120$	$2.435810$	$-232245467895232/709540923$	$1.08656$	$4.58014$	$1$	$[0, 0, 0, -2258949, 1310240792]$	\(y^2=x^3-2258949x+1310240792\)	2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.?	$[(616, 12348)]$	$1$
218400.n2	218400fn1	218400.n	218400fn	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{6} \cdot 3 \cdot 5^{6} \cdot 7^{2} \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1092$	$12$	$0$	$2.711892771$	$1$		$3$	$983040$	$1.718266$	$-232245467895232/709540923$	$1.08656$	$3.81481$	$1$	$[0, -1, 0, -128058, 17727612]$	\(y^2=x^3-x^2-128058x+17727612\)	2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.?	$[(212, 250)]$	$1$
218400.fc2	218400df1	218400.fc	218400df	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{6} \cdot 3 \cdot 5^{6} \cdot 7^{2} \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1092$	$12$	$0$	$20.67210652$	$1$		$1$	$983040$	$1.718266$	$-232245467895232/709540923$	$1.08656$	$3.81481$	$1$	$[0, 1, 0, -128058, -17727612]$	\(y^2=x^3+x^2-128058x-17727612\)	2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.?	$[(4481257622/3287, 29325875407650/3287)]$	$1$
227136.dj2	227136dx2	227136.dj	227136dx	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{12} \cdot 3 \cdot 7^{2} \cdot 13^{12} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1092$	$12$	$0$	$1$	$1$		$1$	$5160960$	$2.542595$	$-232245467895232/709540923$	$1.08656$	$4.60473$	$1$	$[0, -1, 0, -3462697, 2487796297]$	\(y^2=x^3-x^2-3462697x+2487796297\)	2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.?	$[ ]$	$1$
227136.in2	227136br2	227136.in	227136br	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{12} \cdot 3 \cdot 7^{2} \cdot 13^{12} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1092$	$12$	$0$	$1$	$25$	$5$	$1$	$5160960$	$2.542595$	$-232245467895232/709540923$	$1.08656$	$4.60473$	$1$	$[0, 1, 0, -3462697, -2487796297]$	\(y^2=x^3+x^2-3462697x-2487796297\)	2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.?	$[ ]$	$1$
340704.dw2	340704dw1	340704.dw	340704dw	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( - 2^{6} \cdot 3^{7} \cdot 7^{2} \cdot 13^{12} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1092$	$12$	$0$	$30.53265661$	$1$		$1$	$10321920$	$2.745327$	$-232245467895232/709540923$	$1.08656$	$4.64914$	$1$	$[0, 0, 0, -7791069, -8392416968]$	\(y^2=x^3-7791069x-8392416968\)	2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.?	$[(41502103918135471/31341, 8454835637559691387720622/31341)]$	$1$
340704.eh2	340704eh1	340704.eh	340704eh	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( - 2^{6} \cdot 3^{7} \cdot 7^{2} \cdot 13^{12} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1092$	$12$	$0$	$1$	$1$		$1$	$10321920$	$2.745327$	$-232245467895232/709540923$	$1.08656$	$4.64914$	$1$	$[0, 0, 0, -7791069, 8392416968]$	\(y^2=x^3-7791069x+8392416968\)	2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.?	$[ ]$	$1$
366912.dy2	366912dy2	366912.dy	366912dy	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{12} \cdot 3^{7} \cdot 7^{8} \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1092$	$12$	$0$	$1.205352642$	$1$		$5$	$11796480$	$2.782383$	$-232245467895232/709540923$	$1.08656$	$4.65695$	$1$	$[0, 0, 0, -9035796, 10481926336]$	\(y^2=x^3-9035796x+10481926336\)	2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.?	$[(2261, 40131)]$	$1$
366912.dz2	366912dz2	366912.dz	366912dz	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{12} \cdot 3^{7} \cdot 7^{8} \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1092$	$12$	$0$	$2.338546931$	$1$		$5$	$11796480$	$2.782383$	$-232245467895232/709540923$	$1.08656$	$4.65695$	$1$	$[0, 0, 0, -9035796, -10481926336]$	\(y^2=x^3-9035796x-10481926336\)	2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.?	$[(7021, 521703)]$	$1$
436800.il2	436800il2	436800.il	436800il	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{12} \cdot 3 \cdot 5^{6} \cdot 7^{2} \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1092$	$12$	$0$	$1$	$1$		$1$	$3932160$	$2.064838$	$-232245467895232/709540923$	$1.08656$	$3.93144$	$1$	$[0, -1, 0, -512233, -141308663]$	\(y^2=x^3-x^2-512233x-141308663\)	2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.?	$[ ]$	$1$
436800.ng2	436800ng2	436800.ng	436800ng	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{12} \cdot 3 \cdot 5^{6} \cdot 7^{2} \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1092$	$12$	$0$	$1$	$1$		$1$	$3932160$	$2.064838$	$-232245467895232/709540923$	$1.08656$	$3.93144$	$1$	$[0, 1, 0, -512233, 141308663]$	\(y^2=x^3+x^2-512233x+141308663\)	2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.?	$[ ]$	$1$

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