Elliptic curve search results

Results (16 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
15960.m1	15960j3	15960.m	15960j	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 19 \)	\( 2^{11} \cdot 3 \cdot 5 \cdot 7 \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$15960$	$48$	$0$	$1$	$4$	$2$	$1$	$18432$	$0.880233$	$5257286722802/13683705$	$0.89032$	$3.81441$	$[0, 1, 0, -4600, -121360]$	\(y^2=x^3+x^2-4600x-121360\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.1, 84.12.0.?, 152.12.0.?, $\ldots$	$[ ]$
31920.bf1	31920j4	31920.bf	31920j	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 19 \)	\( 2^{11} \cdot 3 \cdot 5 \cdot 7 \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$15960$	$48$	$0$	$2.346961120$	$1$		$5$	$36864$	$0.880233$	$5257286722802/13683705$	$0.89032$	$3.55947$	$[0, -1, 0, -4600, 121360]$	\(y^2=x^3-x^2-4600x+121360\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.2, 84.12.0.?, 152.12.0.?, $\ldots$	$[(42, 22)]$
47880.j1	47880bd4	47880.j	47880bd	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( 2^{11} \cdot 3^{7} \cdot 5 \cdot 7 \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$15960$	$48$	$0$	$1$	$1$		$1$	$147456$	$1.429539$	$5257286722802/13683705$	$0.89032$	$4.03722$	$[0, 0, 0, -41403, 3235318]$	\(y^2=x^3-41403x+3235318\)	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 120.12.0.?, 456.12.0.?, $\ldots$	$[ ]$
79800.q1	79800bi4	79800.q	79800bi	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \)	\( 2^{11} \cdot 3 \cdot 5^{7} \cdot 7 \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$15960$	$48$	$0$	$1$	$4$	$2$	$1$	$442368$	$1.684952$	$5257286722802/13683705$	$0.89032$	$4.12605$	$[0, -1, 0, -115008, -14939988]$	\(y^2=x^3-x^2-115008x-14939988\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 420.12.0.?, 760.24.0.?, $\ldots$	$[ ]$
95760.bm1	95760bb4	95760.bm	95760bb	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( 2^{11} \cdot 3^{7} \cdot 5 \cdot 7 \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$15960$	$48$	$0$	$2.238520923$	$4$	$2$	$7$	$294912$	$1.429539$	$5257286722802/13683705$	$0.89032$	$3.79324$	$[0, 0, 0, -41403, -3235318]$	\(y^2=x^3-41403x-3235318\)	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 120.12.0.?, 456.12.0.?, $\ldots$	$[(-113, 18)]$
111720.d1	111720c4	111720.d	111720c	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \)	\( 2^{11} \cdot 3 \cdot 5 \cdot 7^{7} \cdot 19^{4} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$15960$	$48$	$0$	$21.03092954$	$1$		$5$	$884736$	$1.853188$	$5257286722802/13683705$	$0.89032$	$4.18030$	$[0, -1, 0, -225416, 41175660]$	\(y^2=x^3-x^2-225416x+41175660\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 280.12.0.?, 760.12.0.?, $\ldots$	$[(1069, 31948), (321, 1338)]$
127680.o1	127680c4	127680.o	127680c	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 19 \)	\( 2^{17} \cdot 3 \cdot 5 \cdot 7 \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$15960$	$48$	$0$	$2.935952308$	$4$	$2$	$5$	$294912$	$1.226807$	$5257286722802/13683705$	$0.89032$	$3.49351$	$[0, -1, 0, -18401, -952479]$	\(y^2=x^3-x^2-18401x-952479\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 152.12.0.?, 168.12.0.?, $\ldots$	$[(-77, 44)]$
127680.ep1	127680fp4	127680.ep	127680fp	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 19 \)	\( 2^{17} \cdot 3 \cdot 5 \cdot 7 \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$15960$	$48$	$0$	$3.976898668$	$1$		$3$	$294912$	$1.226807$	$5257286722802/13683705$	$0.89032$	$3.49351$	$[0, 1, 0, -18401, 952479]$	\(y^2=x^3+x^2-18401x+952479\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 152.12.0.?, 168.12.0.?, $\ldots$	$[(90, 183)]$
159600.fc1	159600fy3	159600.fc	159600fy	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \)	\( 2^{11} \cdot 3 \cdot 5^{7} \cdot 7 \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$15960$	$48$	$0$	$1$	$4$	$2$	$1$	$884736$	$1.684952$	$5257286722802/13683705$	$0.89032$	$3.88733$	$[0, 1, 0, -115008, 14939988]$	\(y^2=x^3+x^2-115008x+14939988\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 420.12.0.?, 760.24.0.?, $\ldots$	$[ ]$
223440.fa1	223440gs4	223440.fa	223440gs	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \)	\( 2^{11} \cdot 3 \cdot 5 \cdot 7^{7} \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$15960$	$48$	$0$	$1$	$1$		$1$	$1769472$	$1.853188$	$5257286722802/13683705$	$0.89032$	$3.94504$	$[0, 1, 0, -225416, -41175660]$	\(y^2=x^3+x^2-225416x-41175660\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 280.12.0.?, 760.12.0.?, $\ldots$	$[ ]$
239400.ee1	239400ee3	239400.ee	239400ee	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( 2^{11} \cdot 3^{7} \cdot 5^{7} \cdot 7 \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$15960$	$48$	$0$	$1$	$1$		$1$	$3538944$	$2.234257$	$5257286722802/13683705$	$0.89032$	$4.29227$	$[0, 0, 0, -1035075, 404414750]$	\(y^2=x^3-1035075x+404414750\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 140.12.0.?, 760.12.0.?, $\ldots$	$[ ]$
303240.p1	303240p3	303240.p	303240p	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \)	\( 2^{11} \cdot 3 \cdot 5 \cdot 7 \cdot 19^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$15960$	$48$	$0$	$1$	$4$	$2$	$1$	$6635520$	$2.352451$	$5257286722802/13683705$	$0.89032$	$4.32425$	$[0, -1, 0, -1660720, 822444172]$	\(y^2=x^3-x^2-1660720x+822444172\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 760.24.0.?, 840.24.0.?, $\ldots$	$[ ]$
335160.dn1	335160dn4	335160.dn	335160dn	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 19 \)	\( 2^{11} \cdot 3^{7} \cdot 5 \cdot 7^{7} \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$15960$	$48$	$0$	$7.890560054$	$4$	$2$	$3$	$7077888$	$2.402493$	$5257286722802/13683705$	$0.89032$	$4.33743$	$[0, 0, 0, -2028747, -1109714074]$	\(y^2=x^3-2028747x-1109714074\)	2.3.0.a.1, 4.12.0-4.c.1.2, 760.24.0.?, 840.24.0.?, 3192.24.0.?, $\ldots$	$[(1850, 38324)]$
383040.hy1	383040hy3	383040.hy	383040hy	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( 2^{17} \cdot 3^{7} \cdot 5 \cdot 7 \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$15960$	$48$	$0$	$4.267622675$	$1$		$3$	$2359296$	$1.776114$	$5257286722802/13683705$	$0.89032$	$3.70770$	$[0, 0, 0, -165612, 25882544]$	\(y^2=x^3-165612x+25882544\)	2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.2, 60.12.0-4.c.1.1, 456.12.0.?, $\ldots$	$[(260, 632)]$
383040.oo1	383040oo4	383040.oo	383040oo	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( 2^{17} \cdot 3^{7} \cdot 5 \cdot 7 \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$15960$	$48$	$0$	$1$	$1$		$1$	$2359296$	$1.776114$	$5257286722802/13683705$	$0.89032$	$3.70770$	$[0, 0, 0, -165612, -25882544]$	\(y^2=x^3-165612x-25882544\)	2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.1, 60.12.0-4.c.1.2, 456.12.0.?, $\ldots$	$[ ]$
478800.z1	478800z4	478800.z	478800z	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( 2^{11} \cdot 3^{7} \cdot 5^{7} \cdot 7 \cdot 19^{4} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$15960$	$48$	$0$	$2.948144861$	$1$		$17$	$7077888$	$2.234257$	$5257286722802/13683705$	$0.89032$	$4.06479$	$[0, 0, 0, -1035075, -404414750]$	\(y^2=x^3-1035075x-404414750\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 140.12.0.?, 760.12.0.?, $\ldots$	$[(-595, 900), (1205, 9900)]$

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