Elliptic curve search results

Results (32 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
9450.x1	9450be1	9450.x	9450be	$1$	$1$	\( 2 \cdot 3^{3} \cdot 5^{2} \cdot 7 \)	\( 2^{7} \cdot 3^{11} \cdot 5^{2} \cdot 7 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$1$		$0$	$6048$	$0.595588$	$15454515/896$	$0.87628$	$3.48021$	$[1, -1, 0, -852, 9296]$	\(y^2+xy=x^3-x^2-852x+9296\)	168.2.0.?	$[ ]$
9450.bd1	9450x1	9450.bd	9450x	$1$	$1$	\( 2 \cdot 3^{3} \cdot 5^{2} \cdot 7 \)	\( 2^{7} \cdot 3^{5} \cdot 5^{8} \cdot 7 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$0.527262096$	$1$		$4$	$10080$	$0.851001$	$15454515/896$	$0.87628$	$3.81504$	$[1, -1, 0, -2367, -41459]$	\(y^2+xy=x^3-x^2-2367x-41459\)	168.2.0.?	$[(-31, 53)]$
9450.cd1	9450dg1	9450.cd	9450dg	$1$	$1$	\( 2 \cdot 3^{3} \cdot 5^{2} \cdot 7 \)	\( 2^{7} \cdot 3^{5} \cdot 5^{2} \cdot 7 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$0.578257147$	$1$		$4$	$2016$	$0.046282$	$15454515/896$	$0.87628$	$2.76010$	$[1, -1, 1, -95, -313]$	\(y^2+xy+y=x^3-x^2-95x-313\)	168.2.0.?	$[(-5, 6)]$
9450.dw1	9450cx1	9450.dw	9450cx	$1$	$1$	\( 2 \cdot 3^{3} \cdot 5^{2} \cdot 7 \)	\( 2^{7} \cdot 3^{11} \cdot 5^{8} \cdot 7 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$1$		$0$	$30240$	$1.400307$	$15454515/896$	$0.87628$	$4.53514$	$[1, -1, 1, -21305, 1140697]$	\(y^2+xy+y=x^3-x^2-21305x+1140697\)	168.2.0.?	$[ ]$
66150.v1	66150fa1	66150.v	66150fa	$1$	$1$	\( 2 \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \)	\( 2^{7} \cdot 3^{5} \cdot 5^{8} \cdot 7^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$1$		$0$	$483840$	$1.823956$	$15454515/896$	$0.87628$	$4.19809$	$[1, -1, 0, -115992, 14452416]$	\(y^2+xy=x^3-x^2-115992x+14452416\)	168.2.0.?	$[ ]$
66150.eq1	66150bi1	66150.eq	66150bi	$1$	$1$	\( 2 \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \)	\( 2^{7} \cdot 3^{11} \cdot 5^{2} \cdot 7^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$1$		$0$	$290304$	$1.568542$	$15454515/896$	$0.87628$	$3.92196$	$[1, -1, 0, -41757, -3105019]$	\(y^2+xy=x^3-x^2-41757x-3105019\)	168.2.0.?	$[ ]$
66150.fx1	66150gs1	66150.fx	66150gs	$1$	$1$	\( 2 \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \)	\( 2^{7} \cdot 3^{5} \cdot 5^{2} \cdot 7^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$0.125241230$	$1$		$10$	$96768$	$1.019238$	$15454515/896$	$0.87628$	$3.32810$	$[1, -1, 1, -4640, 116547]$	\(y^2+xy+y=x^3-x^2-4640x+116547\)	168.2.0.?	$[(23, 135)]$
66150.jr1	66150kf1	66150.jr	66150kf	$1$	$1$	\( 2 \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \)	\( 2^{7} \cdot 3^{11} \cdot 5^{8} \cdot 7^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1.713996168$	$1$		$4$	$1451520$	$2.373260$	$15454515/896$	$0.87628$	$4.79195$	$[1, -1, 1, -1043930, -389171303]$	\(y^2+xy+y=x^3-x^2-1043930x-389171303\)	168.2.0.?	$[(-481, 1465)]$
75600.r1	75600hn1	75600.r	75600hn	$1$	$1$	\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 7 \)	\( 2^{19} \cdot 3^{11} \cdot 5^{8} \cdot 7 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$1$		$0$	$725760$	$2.093452$	$15454515/896$	$0.87628$	$4.43608$	$[0, 0, 0, -340875, -72663750]$	\(y^2=x^3-340875x-72663750\)	168.2.0.?	$[ ]$
75600.dq1	75600hl1	75600.dq	75600hl	$1$	$1$	\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 7 \)	\( 2^{19} \cdot 3^{5} \cdot 5^{8} \cdot 7 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$1$		$0$	$241920$	$1.544147$	$15454515/896$	$0.87628$	$3.84928$	$[0, 0, 0, -37875, 2691250]$	\(y^2=x^3-37875x+2691250\)	168.2.0.?	$[ ]$
75600.ew1	75600dq1	75600.ew	75600dq	$1$	$1$	\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 7 \)	\( 2^{19} \cdot 3^{11} \cdot 5^{2} \cdot 7 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$6.791733977$	$1$		$0$	$145152$	$1.288734$	$15454515/896$	$0.87628$	$3.57643$	$[0, 0, 0, -13635, -581310]$	\(y^2=x^3-13635x-581310\)	168.2.0.?	$[(-1721/5, 22042/5)]$
75600.hx1	75600dp1	75600.hx	75600dp	$1$	$1$	\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 7 \)	\( 2^{19} \cdot 3^{5} \cdot 5^{2} \cdot 7 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$0.493642665$	$1$		$4$	$48384$	$0.739429$	$15454515/896$	$0.87628$	$2.98963$	$[0, 0, 0, -1515, 21530]$	\(y^2=x^3-1515x+21530\)	168.2.0.?	$[(-11, 192)]$
302400.bk1	302400bk1	302400.bk	302400bk	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 7 \)	\( 2^{25} \cdot 3^{5} \cdot 5^{8} \cdot 7 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1.516969152$	$1$		$4$	$1935360$	$1.890722$	$15454515/896$	$0.87628$	$3.75598$	$[0, 0, 0, -151500, 21530000]$	\(y^2=x^3-151500x+21530000\)	168.2.0.?	$[(274, 768)]$
302400.bo1	302400bo1	302400.bo	302400bo	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 7 \)	\( 2^{25} \cdot 3^{11} \cdot 5^{2} \cdot 7 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$2.585144884$	$1$		$2$	$1161216$	$1.635309$	$15454515/896$	$0.87628$	$3.51311$	$[0, 0, 0, -54540, 4650480]$	\(y^2=x^3-54540x+4650480\)	168.2.0.?	$[(-194, 2816)]$
302400.jk1	302400jk1	302400.jk	302400jk	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 7 \)	\( 2^{25} \cdot 3^{11} \cdot 5^{8} \cdot 7 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$10.30878185$	$1$		$0$	$5806080$	$2.440029$	$15454515/896$	$0.87628$	$4.27832$	$[0, 0, 0, -1363500, -581310000]$	\(y^2=x^3-1363500x-581310000\)	168.2.0.?	$[(-244475/19, 38488825/19)]$
302400.jm1	302400jm1	302400.jm	302400jm	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 7 \)	\( 2^{25} \cdot 3^{5} \cdot 5^{2} \cdot 7 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$2.427929986$	$1$		$2$	$387072$	$1.086002$	$15454515/896$	$0.87628$	$2.99077$	$[0, 0, 0, -6060, -172240]$	\(y^2=x^3-6060x-172240\)	168.2.0.?	$[(-44, 96)]$
302400.mm1	302400mm1	302400.mm	302400mm	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 7 \)	\( 2^{25} \cdot 3^{11} \cdot 5^{8} \cdot 7 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$1$		$0$	$5806080$	$2.440029$	$15454515/896$	$0.87628$	$4.27832$	$[0, 0, 0, -1363500, 581310000]$	\(y^2=x^3-1363500x+581310000\)	168.2.0.?	$[ ]$
302400.mo1	302400mo1	302400.mo	302400mo	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 7 \)	\( 2^{25} \cdot 3^{5} \cdot 5^{2} \cdot 7 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$1$		$0$	$387072$	$1.086002$	$15454515/896$	$0.87628$	$2.99077$	$[0, 0, 0, -6060, 172240]$	\(y^2=x^3-6060x+172240\)	168.2.0.?	$[ ]$
302400.ui1	302400ui1	302400.ui	302400ui	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 7 \)	\( 2^{25} \cdot 3^{5} \cdot 5^{8} \cdot 7 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$1$		$0$	$1935360$	$1.890722$	$15454515/896$	$0.87628$	$3.75598$	$[0, 0, 0, -151500, -21530000]$	\(y^2=x^3-151500x-21530000\)	168.2.0.?	$[ ]$
302400.um1	302400um1	302400.um	302400um	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 7 \)	\( 2^{25} \cdot 3^{11} \cdot 5^{2} \cdot 7 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$4$	$2$	$0$	$1161216$	$1.635309$	$15454515/896$	$0.87628$	$3.51311$	$[0, 0, 0, -54540, -4650480]$	\(y^2=x^3-54540x-4650480\)	168.2.0.?	$[ ]$
529200.dg1	-	529200.dg	-	$1$	$1$	\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \)	\( 2^{19} \cdot 3^{11} \cdot 5^{8} \cdot 7^{7} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$3.023127307$	$1$		$10$	$34836480$	$3.066410$	$15454515/896$	$0.87628$	$4.66699$	$[0, 0, 0, -16702875, 24923666250]$	\(y^2=x^3-16702875x+24923666250\)	168.2.0.?	$[(3325, 78400), (-4025, 164150)]$
529200.dn1	-	529200.dn	-	$1$	$1$	\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \)	\( 2^{19} \cdot 3^{11} \cdot 5^{2} \cdot 7^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$1$		$0$	$6967296$	$2.261692$	$15454515/896$	$0.87628$	$3.93427$	$[0, 0, 0, -668115, 199389330]$	\(y^2=x^3-668115x+199389330\)	168.2.0.?	$[ ]$
529200.wc1	-	529200.wc	-	$1$	$1$	\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \)	\( 2^{19} \cdot 3^{5} \cdot 5^{8} \cdot 7^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$1$		$0$	$11612160$	$2.517101$	$15454515/896$	$0.87628$	$4.16683$	$[0, 0, 0, -1855875, -923098750]$	\(y^2=x^3-1855875x-923098750\)	168.2.0.?	$[ ]$
529200.wh1	-	529200.wh	-	$1$	$1$	\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \)	\( 2^{19} \cdot 3^{5} \cdot 5^{2} \cdot 7^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$1$		$0$	$2322432$	$1.712383$	$15454515/896$	$0.87628$	$3.43411$	$[0, 0, 0, -74235, -7384790]$	\(y^2=x^3-74235x-7384790\)	168.2.0.?	$[ ]$
2116800.iy1	-	2116800.iy	-	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \)	\( 2^{25} \cdot 3^{11} \cdot 5^{2} \cdot 7^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$5.454166090$	$1$		$0$	$55738368$	$2.608265$	$15454515/896$	$0.87628$	$3.84535$	$[0, 0, 0, -2672460, -1595114640]$	\(y^2=x^3-2672460x-1595114640\)	168.2.0.?	$[(48286/5, 2646784/5)]$
2116800.jb1	-	2116800.jb	-	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \)	\( 2^{25} \cdot 3^{5} \cdot 5^{2} \cdot 7^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$3.153968337$	$1$		$2$	$18579456$	$2.058956$	$15454515/896$	$0.87628$	$3.39279$	$[0, 0, 0, -296940, -59078320]$	\(y^2=x^3-296940x-59078320\)	168.2.0.?	$[(-371, 147)]$
2116800.jv1	-	2116800.jv	-	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \)	\( 2^{25} \cdot 3^{5} \cdot 5^{8} \cdot 7^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1.441331136$	$1$		$4$	$92897280$	$2.863678$	$15454515/896$	$0.87628$	$4.05578$	$[0, 0, 0, -7423500, -7384790000]$	\(y^2=x^3-7423500x-7384790000\)	168.2.0.?	$[(5250, 313600)]$
2116800.jy1	-	2116800.jy	-	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \)	\( 2^{25} \cdot 3^{11} \cdot 5^{8} \cdot 7^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$54.43757676$	$1$		$0$	$278691840$	$3.412983$	$15454515/896$	$0.87628$	$4.50833$	$[0, 0, 0, -66811500, -199389330000]$	\(y^2=x^3-66811500x-199389330000\)	168.2.0.?	$[(-6655070390315070336552716/34648232441, 1039219906404208072641549066076735952/34648232441)]$
2116800.cie1	-	2116800.cie	-	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \)	\( 2^{25} \cdot 3^{11} \cdot 5^{2} \cdot 7^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$6.571140050$	$1$		$0$	$55738368$	$2.608265$	$15454515/896$	$0.87628$	$3.84535$	$[0, 0, 0, -2672460, 1595114640]$	\(y^2=x^3-2672460x+1595114640\)	168.2.0.?	$[(18754/3, 1923328/3)]$
2116800.cih1	-	2116800.cih	-	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \)	\( 2^{25} \cdot 3^{5} \cdot 5^{2} \cdot 7^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$5.358855098$	$1$		$0$	$18579456$	$2.058956$	$15454515/896$	$0.87628$	$3.39279$	$[0, 0, 0, -296940, 59078320]$	\(y^2=x^3-296940x+59078320\)	168.2.0.?	$[(-399/2, 74921/2)]$
2116800.cjb1	-	2116800.cjb	-	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \)	\( 2^{25} \cdot 3^{5} \cdot 5^{8} \cdot 7^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1.281671155$	$1$		$4$	$92897280$	$2.863678$	$15454515/896$	$0.87628$	$4.05578$	$[0, 0, 0, -7423500, 7384790000]$	\(y^2=x^3-7423500x+7384790000\)	168.2.0.?	$[(1150, 19200)]$
2116800.cje1	-	2116800.cje	-	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \)	\( 2^{25} \cdot 3^{11} \cdot 5^{8} \cdot 7^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$15.35152852$	$1$		$0$	$278691840$	$3.412983$	$15454515/896$	$0.87628$	$4.50833$	$[0, 0, 0, -66811500, 199389330000]$	\(y^2=x^3-66811500x+199389330000\)	168.2.0.?	$[(-23553719/68, 200731274821/68)]$

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