Elliptic curve search results

Results (20 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
60984.b1	60984bk1	60984.b	60984bk	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{9} \cdot 7^{5} \cdot 11^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$462$	$2$	$0$	$1$	$1$		$0$	$1774080$	$2.350742$	$15185664/16807$	$1.11827$	$4.60840$	$[0, 0, 0, 467181, 117406179]$	\(y^2=x^3+467181x+117406179\)	462.2.0.?	$[]$
60984.c1	60984i1	60984.c	60984i	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{9} \cdot 7^{5} \cdot 11^{3} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$462$	$2$	$0$	$0.542804303$	$1$		$16$	$161280$	$1.151794$	$15185664/16807$	$1.11827$	$3.30264$	$[0, 0, 0, 3861, -88209]$	\(y^2=x^3+3861x-88209\)	462.2.0.?	$[(55, 539), (27, 189)]$
60984.ce1	60984b1	60984.ce	60984b	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{3} \cdot 7^{5} \cdot 11^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$462$	$2$	$0$	$4.890372139$	$1$		$0$	$591360$	$1.801435$	$15185664/16807$	$1.11827$	$4.01015$	$[0, 0, 0, 51909, -4348377]$	\(y^2=x^3+51909x-4348377\)	462.2.0.?	$[(2299/5, 137093/5)]$
60984.cf1	60984br1	60984.cf	60984br	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{3} \cdot 7^{5} \cdot 11^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$462$	$2$	$0$	$0.220721925$	$1$		$6$	$53760$	$0.602488$	$15185664/16807$	$1.11827$	$2.70439$	$[0, 0, 0, 429, 3267]$	\(y^2=x^3+429x+3267\)	462.2.0.?	$[(33, 231)]$
121968.g1	121968d1	121968.g	121968d	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{9} \cdot 7^{5} \cdot 11^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$462$	$2$	$0$	$1.493922590$	$1$		$2$	$322560$	$1.151794$	$15185664/16807$	$1.11827$	$3.10717$	$[0, 0, 0, 3861, 88209]$	\(y^2=x^3+3861x+88209\)	462.2.0.?	$[(0, 297)]$
121968.t1	121968n1	121968.t	121968n	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{9} \cdot 7^{5} \cdot 11^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$462$	$2$	$0$	$1$	$1$		$0$	$3548160$	$2.350742$	$15185664/16807$	$1.11827$	$4.33565$	$[0, 0, 0, 467181, -117406179]$	\(y^2=x^3+467181x-117406179\)	462.2.0.?	$[]$
121968.ff1	121968c1	121968.ff	121968c	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{3} \cdot 7^{5} \cdot 11^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$462$	$2$	$0$	$2.851842697$	$1$		$0$	$107520$	$0.602488$	$15185664/16807$	$1.11827$	$2.54433$	$[0, 0, 0, 429, -3267]$	\(y^2=x^3+429x-3267\)	462.2.0.?	$[(33/2, 231/2)]$
121968.gd1	121968m1	121968.gd	121968m	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{3} \cdot 7^{5} \cdot 11^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$462$	$2$	$0$	$1$	$1$		$0$	$1182720$	$1.801435$	$15185664/16807$	$1.11827$	$3.77281$	$[0, 0, 0, 51909, 4348377]$	\(y^2=x^3+51909x+4348377\)	462.2.0.?	$[]$
426888.o1	426888o1	426888.o	426888o	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{3} \cdot 7^{11} \cdot 11^{9} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$462$	$2$	$0$	$7.140549750$	$1$		$10$	$28385280$	$2.774391$	$15185664/16807$	$1.11827$	$4.30883$	$[0, 0, 0, 2543541, 1491493311]$	\(y^2=x^3+2543541x+1491493311\)	462.2.0.?	$[(847, 65219), (2178, 131769)]$
426888.bf1	426888bf1	426888.bf	426888bf	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{3} \cdot 7^{11} \cdot 11^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$462$	$2$	$0$	$0.816159515$	$1$		$4$	$2580480$	$1.575443$	$15185664/16807$	$1.11827$	$3.19905$	$[0, 0, 0, 21021, -1120581]$	\(y^2=x^3+21021x-1120581\)	462.2.0.?	$[(357, 7203)]$
426888.hb1	426888hb1	426888.hb	426888hb	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{9} \cdot 7^{11} \cdot 11^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$462$	$2$	$0$	$15.26800855$	$1$		$0$	$85155840$	$3.323696$	$15185664/16807$	$1.11827$	$4.81727$	$[0, 0, 0, 22891869, -40270319397]$	\(y^2=x^3+22891869x-40270319397\)	462.2.0.?	$[(5776732269/865, 499937958911853/865)]$
426888.hp1	426888hp1	426888.hp	426888hp	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{9} \cdot 7^{11} \cdot 11^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$462$	$2$	$0$	$1$	$1$		$0$	$7741440$	$2.124748$	$15185664/16807$	$1.11827$	$3.70750$	$[0, 0, 0, 189189, 30255687]$	\(y^2=x^3+189189x+30255687\)	462.2.0.?	$[]$
487872.w1	487872w1	487872.w	487872w	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11^{2} \)	\( - 2^{10} \cdot 3^{3} \cdot 7^{5} \cdot 11^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$462$	$2$	$0$	$6.488276719$	$1$		$2$	$9461760$	$2.148010$	$15185664/16807$	$1.11827$	$3.69102$	$[0, 0, 0, 207636, -34787016]$	\(y^2=x^3+207636x-34787016\)	462.2.0.?	$[(861, 27969)]$
487872.by1	487872by1	487872.by	487872by	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11^{2} \)	\( - 2^{10} \cdot 3^{3} \cdot 7^{5} \cdot 11^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$462$	$2$	$0$	$1$	$1$		$0$	$860160$	$0.949061$	$15185664/16807$	$1.11827$	$2.59256$	$[0, 0, 0, 1716, -26136]$	\(y^2=x^3+1716x-26136\)	462.2.0.?	$[]$
487872.cc1	487872cc1	487872.cc	487872cc	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11^{2} \)	\( - 2^{10} \cdot 3^{3} \cdot 7^{5} \cdot 11^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$462$	$2$	$0$	$1.595016817$	$1$		$2$	$9461760$	$2.148010$	$15185664/16807$	$1.11827$	$3.69102$	$[0, 0, 0, 207636, 34787016]$	\(y^2=x^3+207636x+34787016\)	462.2.0.?	$[(1573, 65219)]$
487872.de1	487872de1	487872.de	487872de	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11^{2} \)	\( - 2^{10} \cdot 3^{3} \cdot 7^{5} \cdot 11^{3} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$462$	$2$	$0$	$1.232740146$	$1$		$8$	$860160$	$0.949061$	$15185664/16807$	$1.11827$	$2.59256$	$[0, 0, 0, 1716, 26136]$	\(y^2=x^3+1716x+26136\)	462.2.0.?	$[(-11, 77), (33/2, 1617/2)]$
487872.oo1	487872oo1	487872.oo	487872oo	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11^{2} \)	\( - 2^{10} \cdot 3^{9} \cdot 7^{5} \cdot 11^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$462$	$2$	$0$	$21.44397260$	$1$		$0$	$28385280$	$2.697315$	$15185664/16807$	$1.11827$	$4.19428$	$[0, 0, 0, 1868724, 939249432]$	\(y^2=x^3+1868724x+939249432\)	462.2.0.?	$[(74838669037/477, 20473535190448153/477)]$
487872.pl1	487872pl1	487872.pl	487872pl	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11^{2} \)	\( - 2^{10} \cdot 3^{9} \cdot 7^{5} \cdot 11^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$462$	$2$	$0$	$1$	$4$	$2$	$0$	$2580480$	$1.498367$	$15185664/16807$	$1.11827$	$3.09583$	$[0, 0, 0, 15444, 705672]$	\(y^2=x^3+15444x+705672\)	462.2.0.?	$[]$
487872.pm1	487872pm1	487872.pm	487872pm	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11^{2} \)	\( - 2^{10} \cdot 3^{9} \cdot 7^{5} \cdot 11^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$462$	$2$	$0$	$5.882640787$	$1$		$2$	$28385280$	$2.697315$	$15185664/16807$	$1.11827$	$4.19428$	$[0, 0, 0, 1868724, -939249432]$	\(y^2=x^3+1868724x-939249432\)	462.2.0.?	$[(837, 34803)]$
487872.qj1	487872qj1	487872.qj	487872qj	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11^{2} \)	\( - 2^{10} \cdot 3^{9} \cdot 7^{5} \cdot 11^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$462$	$2$	$0$	$1$	$1$		$0$	$2580480$	$1.498367$	$15185664/16807$	$1.11827$	$3.09583$	$[0, 0, 0, 15444, -705672]$	\(y^2=x^3+15444x-705672\)	462.2.0.?	$[]$