Elliptic curve search results

Results (14 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
20640.h3	20640c1	20640.h	20640c	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{6} \cdot 3^{4} \cdot 5^{2} \cdot 43^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$1720$	$48$	$0$	$1$	$1$		$3$	$9216$	$0.435262$	$466566337216/3744225$	$0.91965$	$3.12306$	$[0, -1, 0, -646, 6496]$	\(y^2=x^3-x^2-646x+6496\)	2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0-2.a.1.1, 40.24.0-40.a.1.3, 172.12.0.?, $\ldots$	$[ ]$
20640.n3	20640h1	20640.n	20640h	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{6} \cdot 3^{4} \cdot 5^{2} \cdot 43^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$1720$	$48$	$0$	$1$	$1$		$3$	$9216$	$0.435262$	$466566337216/3744225$	$0.91965$	$3.12306$	$[0, 1, 0, -646, -6496]$	\(y^2=x^3+x^2-646x-6496\)	2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0-2.a.1.1, 40.24.0-40.a.1.2, 172.12.0.?, $\ldots$	$[ ]$
41280.w2	41280cs2	41280.w	41280cs	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{12} \cdot 3^{4} \cdot 5^{2} \cdot 43^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$1720$	$48$	$0$	$1$	$1$		$3$	$36864$	$0.781836$	$466566337216/3744225$	$0.91965$	$3.31069$	$[0, -1, 0, -2585, -49383]$	\(y^2=x^3-x^2-2585x-49383\)	2.6.0.a.1, 4.12.0-2.a.1.1, 40.24.0-40.a.1.1, 344.24.0.?, 860.24.0.?, $\ldots$	$[ ]$
41280.dp2	41280dh2	41280.dp	41280dh	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{12} \cdot 3^{4} \cdot 5^{2} \cdot 43^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$1720$	$48$	$0$	$1$	$1$		$3$	$36864$	$0.781836$	$466566337216/3744225$	$0.91965$	$3.31069$	$[0, 1, 0, -2585, 49383]$	\(y^2=x^3+x^2-2585x+49383\)	2.6.0.a.1, 4.12.0-2.a.1.1, 40.24.0-40.a.1.4, 344.24.0.?, 860.24.0.?, $\ldots$	$[ ]$
61920.y3	61920bz1	61920.y	61920bz	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{6} \cdot 3^{10} \cdot 5^{2} \cdot 43^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$5160$	$48$	$0$	$1$	$1$		$3$	$73728$	$0.984569$	$466566337216/3744225$	$0.91965$	$3.40952$	$[0, 0, 0, -5817, 169576]$	\(y^2=x^3-5817x+169576\)	2.6.0.a.1, 24.12.0-2.a.1.1, 40.12.0.a.1, 60.12.0-2.a.1.1, 120.24.0.?, $\ldots$	$[ ]$
61920.ce3	61920ce1	61920.ce	61920ce	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{6} \cdot 3^{10} \cdot 5^{2} \cdot 43^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$5160$	$48$	$0$	$7.527487638$	$1$		$3$	$73728$	$0.984569$	$466566337216/3744225$	$0.91965$	$3.40952$	$[0, 0, 0, -5817, -169576]$	\(y^2=x^3-5817x-169576\)	2.6.0.a.1, 24.12.0-2.a.1.1, 40.12.0.a.1, 60.12.0-2.a.1.1, 120.24.0.?, $\ldots$	$[(10312/7, 965700/7)]$
103200.bh3	103200by1	103200.bh	103200by	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{6} \cdot 3^{4} \cdot 5^{8} \cdot 43^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$1720$	$48$	$0$	$8.415290450$	$1$		$3$	$221184$	$1.239981$	$466566337216/3744225$	$0.91965$	$3.52414$	$[0, -1, 0, -16158, -779688]$	\(y^2=x^3-x^2-16158x-779688\)	2.6.0.a.1, 4.12.0-2.a.1.1, 40.24.0-40.a.1.1, 344.24.0.?, 860.24.0.?, $\ldots$	$[(-21021/17, 363636/17)]$
103200.bn3	103200cn1	103200.bn	103200cn	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{6} \cdot 3^{4} \cdot 5^{8} \cdot 43^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$1720$	$48$	$0$	$1.806902334$	$1$		$9$	$221184$	$1.239981$	$466566337216/3744225$	$0.91965$	$3.52414$	$[0, 1, 0, -16158, 779688]$	\(y^2=x^3+x^2-16158x+779688\)	2.6.0.a.1, 4.12.0-2.a.1.1, 40.24.0-40.a.1.4, 344.24.0.?, 860.24.0.?, $\ldots$	$[(93, 300)]$
123840.g2	123840fr2	123840.g	123840fr	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{12} \cdot 3^{10} \cdot 5^{2} \cdot 43^{2} \)	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$5160$	$48$	$0$	$3.395954560$	$1$		$25$	$294912$	$1.331142$	$466566337216/3744225$	$0.91965$	$3.56263$	$[0, 0, 0, -23268, 1356608]$	\(y^2=x^3-23268x+1356608\)	2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0.a.1, 120.24.0.?, 344.12.0.?, $\ldots$	$[(64, 360), (74, 200)]$
123840.di2	123840eu2	123840.di	123840eu	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{12} \cdot 3^{10} \cdot 5^{2} \cdot 43^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$5160$	$48$	$0$	$4.738950232$	$1$		$5$	$294912$	$1.331142$	$466566337216/3744225$	$0.91965$	$3.56263$	$[0, 0, 0, -23268, -1356608]$	\(y^2=x^3-23268x-1356608\)	2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0.a.1, 120.24.0.?, 344.12.0.?, $\ldots$	$[(2822, 149688)]$
206400.i2	206400dt2	206400.i	206400dt	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{12} \cdot 3^{4} \cdot 5^{8} \cdot 43^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$1720$	$48$	$0$	$2.121132449$	$1$		$9$	$884736$	$1.586555$	$466566337216/3744225$	$0.91965$	$3.66438$	$[0, -1, 0, -64633, 6302137]$	\(y^2=x^3-x^2-64633x+6302137\)	2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0-2.a.1.1, 40.24.0-40.a.1.3, 172.12.0.?, $\ldots$	$[(112, 675)]$
206400.kk2	206400cm2	206400.kk	206400cm	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{12} \cdot 3^{4} \cdot 5^{8} \cdot 43^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$1720$	$48$	$0$	$5.197587252$	$1$		$5$	$884736$	$1.586555$	$466566337216/3744225$	$0.91965$	$3.66438$	$[0, 1, 0, -64633, -6302137]$	\(y^2=x^3+x^2-64633x-6302137\)	2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0-2.a.1.1, 40.24.0-40.a.1.2, 172.12.0.?, $\ldots$	$[(1019, 31416)]$
309600.i3	309600i1	309600.i	309600i	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( 2^{6} \cdot 3^{10} \cdot 5^{8} \cdot 43^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$5160$	$48$	$0$	$1$	$1$		$3$	$1769472$	$1.789288$	$466566337216/3744225$	$0.91965$	$3.73928$	$[0, 0, 0, -145425, -21197000]$	\(y^2=x^3-145425x-21197000\)	2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0.a.1, 120.24.0.?, 344.12.0.?, $\ldots$	$[ ]$
309600.fe3	309600fe1	309600.fe	309600fe	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( 2^{6} \cdot 3^{10} \cdot 5^{8} \cdot 43^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$5160$	$48$	$0$	$6.090179829$	$1$		$3$	$1769472$	$1.789288$	$466566337216/3744225$	$0.91965$	$3.73928$	$[0, 0, 0, -145425, 21197000]$	\(y^2=x^3-145425x+21197000\)	2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0.a.1, 120.24.0.?, 344.12.0.?, $\ldots$	$[(2440/7, 1287000/7)]$

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