Elliptic curves over $\Q$ of conductor 443822

Results (19 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
443822.a1	443822a1	443822.a	443822a	$1$	$1$	\( 2 \cdot 53^{2} \cdot 79 \)	\( 2^{5} \cdot 53^{9} \cdot 79 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$33496$	$2$	$0$	$5.286786867$	$1$		$2$	$40098240$	$2.692028$	$6289928142775857/376361056$	$0.91762$	$4.62960$	$[1, -1, 0, -10802536, -13662444704]$	\(y^2+xy=x^3-x^2-10802536x-13662444704\)	33496.2.0.?	$[(203931, 91978459)]$
443822.b1	443822b1	443822.b	443822b	$1$	$1$	\( 2 \cdot 53^{2} \cdot 79 \)	\( 2^{2} \cdot 53^{8} \cdot 79 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$316$	$2$	$0$	$6.414487667$	$1$		$6$	$5121792$	$1.859724$	$8012006001/887644$	$0.79192$	$3.58574$	$[1, -1, 0, -117100, -13839548]$	\(y^2+xy=x^3-x^2-117100x-13839548\)	316.2.0.?	$[(464, 5386), (-953/2, 6571/2)]$
443822.c1	443822c2	443822.c	443822c	$2$	$2$	\( 2 \cdot 53^{2} \cdot 79 \)	\( 2 \cdot 53^{6} \cdot 79^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$632$	$12$	$0$	$1$	$1$		$0$	$1779648$	$1.494680$	$81182737/12482$	$0.85973$	$3.23259$	$[1, 0, 1, -25340, 1328304]$	\(y^2+xy+y=x^3-25340x+1328304\)	2.3.0.a.1, 8.6.0.b.1, 316.6.0.?, 632.12.0.?	$[]$
443822.c2	443822c1	443822.c	443822c	$2$	$2$	\( 2 \cdot 53^{2} \cdot 79 \)	\( - 2^{2} \cdot 53^{6} \cdot 79 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$632$	$12$	$0$	$1$	$1$		$1$	$889824$	$1.148106$	$103823/316$	$0.80009$	$2.83172$	$[1, 0, 1, 2750, 114816]$	\(y^2+xy+y=x^3+2750x+114816\)	2.3.0.a.1, 8.6.0.c.1, 158.6.0.?, 632.12.0.?	$[]$
443822.d1	443822d1	443822.d	443822d	$1$	$1$	\( 2 \cdot 53^{2} \cdot 79 \)	\( 2^{15} \cdot 53^{7} \cdot 79 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$33496$	$2$	$0$	$5.568895415$	$1$		$2$	$25272000$	$2.698402$	$11995307098244497/137199616$	$0.94838$	$4.67924$	$[1, 1, 0, -13396179, -18877465811]$	\(y^2+xy=x^3+x^2-13396179x-18877465811\)	33496.2.0.?	$[(-2109, 821)]$
443822.e1	443822e1	443822.e	443822e	$1$	$1$	\( 2 \cdot 53^{2} \cdot 79 \)	\( 2^{9} \cdot 53^{7} \cdot 79 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$33496$	$2$	$0$	$5.751697694$	$1$		$4$	$2223936$	$1.905100$	$7088952961/2143744$	$0.79132$	$3.57632$	$[1, 1, 0, -112418, 9977716]$	\(y^2+xy=x^3+x^2-112418x+9977716\)	33496.2.0.?	$[(-367, 1588), (-673/2, 39999/2)]$
443822.f1	443822f1	443822.f	443822f	$1$	$1$	\( 2 \cdot 53^{2} \cdot 79 \)	\( 2^{2} \cdot 53^{8} \cdot 79^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$316$	$2$	$0$	$1$	$1$		$0$	$13600224$	$2.554142$	$5192525593/1972156$	$0.83112$	$4.16305$	$[1, 1, 0, -1429839, 385206745]$	\(y^2+xy=x^3+x^2-1429839x+385206745\)	316.2.0.?	$[]$
443822.g1	443822g2	443822.g	443822g	$2$	$5$	\( 2 \cdot 53^{2} \cdot 79 \)	\( 2^{4} \cdot 53^{6} \cdot 79^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$83740$	$48$	$1$	$1$	$1$		$0$	$36192000$	$3.127254$	$1413378216646643521/49232902384$	$1.01962$	$5.04602$	$[1, 0, 1, -65674479, -204852654030]$	\(y^2+xy+y=x^3-65674479x-204852654030\)	5.12.0.a.2, 265.24.0.?, 316.2.0.?, 1580.24.1.?, 83740.48.1.?	$[]$
443822.g2	443822g1	443822.g	443822g	$2$	$5$	\( 2 \cdot 53^{2} \cdot 79 \)	\( 2^{20} \cdot 53^{6} \cdot 79 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.1	5B.4.1	$83740$	$48$	$1$	$1$	$1$		$0$	$7238400$	$2.322536$	$8194759433281/82837504$	$0.96131$	$4.11871$	$[1, 0, 1, -1179839, 488841490]$	\(y^2+xy+y=x^3-1179839x+488841490\)	5.12.0.a.1, 265.24.0.?, 316.2.0.?, 1580.24.1.?, 83740.48.1.?	$[]$
443822.h1	443822h1	443822.h	443822h	$1$	$1$	\( 2 \cdot 53^{2} \cdot 79 \)	\( 2^{8} \cdot 53^{2} \cdot 79 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$316$	$2$	$0$	$1$	$9$	$3$	$0$	$2146176$	$1.138750$	$6525727519847697/20224$	$0.99907$	$3.41110$	$[1, -1, 0, -54931, -4941643]$	\(y^2+xy=x^3-x^2-54931x-4941643\)	316.2.0.?	$[]$
443822.i1	443822i1	443822.i	443822i	$1$	$1$	\( 2 \cdot 53^{2} \cdot 79 \)	\( 2^{8} \cdot 53^{6} \cdot 79 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$316$	$2$	$0$	$6.898004267$	$1$		$0$	$4612608$	$1.518568$	$72511713/20224$	$0.89606$	$3.22390$	$[1, -1, 0, -24403, 1062197]$	\(y^2+xy=x^3-x^2-24403x+1062197\)	316.2.0.?	$[(-53642/33, 53492045/33)]$
443822.j1	443822j1	443822.j	443822j	$1$	$1$	\( 2 \cdot 53^{2} \cdot 79 \)	\( 2^{8} \cdot 53^{8} \cdot 79 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$316$	$2$	$0$	$5.000624772$	$1$		$2$	$113747328$	$3.123898$	$6525727519847697/20224$	$0.99907$	$5.24309$	$[1, -1, 1, -154301706, -737702904759]$	\(y^2+xy+y=x^3-x^2-154301706x-737702904759\)	316.2.0.?	$[(47051, 9782693)]$
443822.k1	443822k3	443822.k	443822k	$3$	$9$	\( 2 \cdot 53^{2} \cdot 79 \)	\( 2^{18} \cdot 53^{6} \cdot 79 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.12.0.1	3B	$150732$	$144$	$3$	$1$	$1$		$0$	$17971200$	$2.665005$	$15698803397448457/20709376$	$1.00146$	$4.69994$	$[1, 1, 1, -14653207, -21595807443]$	\(y^2+xy+y=x^3+x^2-14653207x-21595807443\)	3.4.0.a.1, 9.12.0.a.1, 159.8.0.?, 316.2.0.?, 477.24.0.?, $\ldots$	$[]$
443822.k2	443822k2	443822.k	443822k	$3$	$9$	\( 2 \cdot 53^{2} \cdot 79 \)	\( 2^{6} \cdot 53^{6} \cdot 79^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.12.0.1	3Cs	$150732$	$144$	$3$	$1$	$1$		$0$	$5990400$	$2.115700$	$59914169497/31554496$	$0.96798$	$3.74046$	$[1, 1, 1, -228992, -12743583]$	\(y^2+xy+y=x^3+x^2-228992x-12743583\)	3.12.0.a.1, 159.24.0.?, 316.2.0.?, 711.36.0.?, 948.24.1.?, $\ldots$	$[]$
443822.k3	443822k1	443822.k	443822k	$3$	$9$	\( 2 \cdot 53^{2} \cdot 79 \)	\( 2^{2} \cdot 53^{6} \cdot 79 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.12.0.1	3B	$150732$	$144$	$3$	$1$	$1$		$0$	$1996800$	$1.566391$	$11134383337/316$	$0.90937$	$3.61104$	$[1, 1, 1, -130677, 18127327]$	\(y^2+xy+y=x^3+x^2-130677x+18127327\)	3.4.0.a.1, 9.12.0.a.1, 159.8.0.?, 316.2.0.?, 477.24.0.?, $\ldots$	$[]$
443822.l1	443822l1	443822.l	443822l	$1$	$1$	\( 2 \cdot 53^{2} \cdot 79 \)	\( 2^{2} \cdot 53^{2} \cdot 79^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$316$	$2$	$0$	$2.045550930$	$1$		$2$	$256608$	$0.568996$	$5192525593/1972156$	$0.83112$	$2.33105$	$[1, 0, 0, -509, 2549]$	\(y^2+xy=x^3-509x+2549\)	316.2.0.?	$[(194, 2589)]$
443822.m1	443822m1	443822.m	443822m	$1$	$1$	\( 2 \cdot 53^{2} \cdot 79 \)	\( 2^{14} \cdot 53^{14} \cdot 79^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$316$	$2$	$0$	$29.53526917$	$1$		$0$	$6906332160$	$5.664803$	$30664713906029807787577317783049/502930726923911431438336$	$1.02767$	$7.40761$	$[1, 0, 0, -1831710384455, -954173256822727927]$	\(y^2+xy=x^3-1831710384455x-954173256822727927\)	316.2.0.?	$[(-349653144016548538/668857, 1213944489967047197047261/668857)]$
443822.n1	443822n1	443822.n	443822n	$1$	$1$	\( 2 \cdot 53^{2} \cdot 79 \)	\( 2^{6} \cdot 53^{10} \cdot 79 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$316$	$2$	$0$	$7.455156899$	$1$		$0$	$18869760$	$2.812103$	$2066289730584409/39894271936$	$0.89274$	$4.54399$	$[1, 0, 0, -7453740, 7700274128]$	\(y^2+xy=x^3-7453740x+7700274128\)	316.2.0.?	$[(-153788/7, 5150636/7)]$
443822.o1	443822o1	443822.o	443822o	$1$	$1$	\( 2 \cdot 53^{2} \cdot 79 \)	\( 2^{2} \cdot 53^{6} \cdot 79 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$316$	$2$	$0$	$4.175708127$	$1$		$0$	$1211392$	$1.214581$	$4826809/316$	$0.94063$	$3.01553$	$[1, 0, 0, -9890, 355688]$	\(y^2+xy=x^3-9890x+355688\)	316.2.0.?	$[(103/6, 123287/6)]$