Elliptic curve search results

Results (6 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
22386.j1	22386h1	22386.j	22386h	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \)	\( 2^{2} \cdot 3 \cdot 7^{4} \cdot 13^{13} \cdot 41 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$6396$	$2$	$0$	$9.286890569$	$1$		$0$	$988416$	$2.675922$	$3106880453184523246867609/357783940416575730876$	$0.99111$	$5.63045$	$[1, 0, 1, -3039954, -1826108840]$	\(y^2+xy+y=x^3-3039954x-1826108840\)	6396.2.0.?	$[(-102257/9, 610075/9)]$
67158.bq1	67158bk1	67158.bq	67158bk	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 41 \)	\( 2^{2} \cdot 3^{7} \cdot 7^{4} \cdot 13^{13} \cdot 41 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6396$	$2$	$0$	$12.89497232$	$1$		$0$	$7907328$	$3.225227$	$3106880453184523246867609/357783940416575730876$	$0.99111$	$5.66698$	$[1, -1, 1, -27359582, 49304938673]$	\(y^2+xy+y=x^3-x^2-27359582x+49304938673\)	6396.2.0.?	$[(-7495023/37, 9611033005/37)]$
156702.n1	156702cx1	156702.n	156702cx	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 13 \cdot 41 \)	\( 2^{2} \cdot 3 \cdot 7^{10} \cdot 13^{13} \cdot 41 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6396$	$2$	$0$	$1.364489090$	$1$		$0$	$47443968$	$3.648876$	$3106880453184523246867609/357783940416575730876$	$0.99111$	$5.69057$	$[1, 1, 0, -148957722, 626206374312]$	\(y^2+xy=x^3+x^2-148957722x+626206374312\)	6396.2.0.?	$[(10498/3, 18177610/3)]$
179088.o1	179088bd1	179088.o	179088bd	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 41 \)	\( 2^{14} \cdot 3 \cdot 7^{4} \cdot 13^{13} \cdot 41 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6396$	$2$	$0$	$1$	$1$		$0$	$23721984$	$3.369068$	$3106880453184523246867609/357783940416575730876$	$0.99111$	$5.35015$	$[0, -1, 0, -48639256, 116870965744]$	\(y^2=x^3-x^2-48639256x+116870965744\)	6396.2.0.?	$[]$
291018.db1	291018db1	291018.db	291018db	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \cdot 41 \)	\( 2^{2} \cdot 3 \cdot 7^{4} \cdot 13^{19} \cdot 41 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6396$	$2$	$0$	$1$	$4$	$2$	$0$	$166053888$	$3.958397$	$3106880453184523246867609/357783940416575730876$	$0.99111$	$5.70579$	$[1, 0, 0, -513752145, -4011447368787]$	\(y^2+xy=x^3-513752145x-4011447368787\)	6396.2.0.?	$[]$
470106.ei1	470106ei1	470106.ei	470106ei	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \)	\( 2^{2} \cdot 3^{7} \cdot 7^{10} \cdot 13^{13} \cdot 41 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6396$	$2$	$0$	$1$	$1$		$0$	$379551744$	$4.198181$	$3106880453184523246867609/357783940416575730876$	$0.99111$	$5.71659$	$[1, -1, 1, -1340619503, -16908912725925]$	\(y^2+xy+y=x^3-x^2-1340619503x-16908912725925\)	6396.2.0.?	$[]$