Elliptic curve search results

Results (12 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
25410.d1	25410d1	25410.d	25410d	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 2^{9} \cdot 3^{5} \cdot 5 \cdot 7^{7} \cdot 11^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$840$	$2$	$0$	$1$	$1$		$0$	$90720$	$1.445860$	$-30795427858316209/512309629440$	$0.98436$	$4.21874$	$[1, 1, 0, -32298, 2252628]$	\(y^2+xy=x^3+x^2-32298x+2252628\)	840.2.0.?	$[ ]$
25410.bs1	25410br1	25410.bs	25410br	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 2^{9} \cdot 3^{5} \cdot 5 \cdot 7^{7} \cdot 11^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$840$	$2$	$0$	$1$	$1$		$0$	$997920$	$2.644810$	$-30795427858316209/512309629440$	$0.98436$	$5.63721$	$[1, 1, 1, -3908121, -3017788377]$	\(y^2+xy+y=x^3+x^2-3908121x-3017788377\)	840.2.0.?	$[ ]$
76230.cg1	76230ch1	76230.cg	76230ch	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 2^{9} \cdot 3^{11} \cdot 5 \cdot 7^{7} \cdot 11^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$840$	$2$	$0$	$0.538202604$	$1$		$4$	$7983360$	$3.194115$	$-30795427858316209/512309629440$	$0.98436$	$5.67266$	$[1, -1, 0, -35173089, 81445113085]$	\(y^2+xy=x^3-x^2-35173089x+81445113085\)	840.2.0.?	$[(3479, 32564)]$
76230.ef1	76230eh1	76230.ef	76230eh	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 2^{9} \cdot 3^{11} \cdot 5 \cdot 7^{7} \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$840$	$2$	$0$	$3.086963353$	$1$		$2$	$725760$	$1.995167$	$-30795427858316209/512309629440$	$0.98436$	$4.39282$	$[1, -1, 1, -290687, -61111641]$	\(y^2+xy+y=x^3-x^2-290687x-61111641\)	840.2.0.?	$[(899, 19638)]$
127050.cy1	127050cn1	127050.cy	127050cn	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	\( - 2^{9} \cdot 3^{5} \cdot 5^{7} \cdot 7^{7} \cdot 11^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$840$	$2$	$0$	$11.07846128$	$1$		$2$	$23950080$	$3.449528$	$-30795427858316209/512309629440$	$0.98436$	$5.68689$	$[1, 0, 1, -97703026, -377028141052]$	\(y^2+xy+y=x^3-97703026x-377028141052\)	840.2.0.?	$[(478482, 330667096)]$
127050.iw1	127050hu1	127050.iw	127050hu	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	\( - 2^{9} \cdot 3^{5} \cdot 5^{7} \cdot 7^{7} \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$840$	$2$	$0$	$0.043378701$	$1$		$16$	$2177280$	$2.250580$	$-30795427858316209/512309629440$	$0.98436$	$4.46268$	$[1, 0, 0, -807463, 283193417]$	\(y^2+xy=x^3-807463x+283193417\)	840.2.0.?	$[(422, 3989)]$
177870.dw1	177870ff1	177870.dw	177870ff	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( - 2^{9} \cdot 3^{5} \cdot 5 \cdot 7^{13} \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$840$	$2$	$0$	$6.008962697$	$1$		$0$	$4354560$	$2.418816$	$-30795427858316209/512309629440$	$0.98436$	$4.50547$	$[1, 0, 1, -1582628, -777399262]$	\(y^2+xy+y=x^3-1582628x-777399262\)	840.2.0.?	$[(232632/11, 75032042/11)]$
177870.ii1	177870m1	177870.ii	177870m	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( - 2^{9} \cdot 3^{5} \cdot 5 \cdot 7^{13} \cdot 11^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$840$	$2$	$0$	$1$	$1$		$0$	$47900160$	$3.617764$	$-30795427858316209/512309629440$	$0.98436$	$5.69561$	$[1, 0, 0, -191497930, 1034526919460]$	\(y^2+xy=x^3-191497930x+1034526919460\)	840.2.0.?	$[ ]$
203280.eb1	203280bv1	203280.eb	203280bv	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 2^{21} \cdot 3^{5} \cdot 5 \cdot 7^{7} \cdot 11^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$840$	$2$	$0$	$1$	$1$		$0$	$23950080$	$3.337955$	$-30795427858316209/512309629440$	$0.98436$	$5.35866$	$[0, 1, 0, -62529936, 193013396244]$	\(y^2=x^3+x^2-62529936x+193013396244\)	840.2.0.?	$[ ]$
203280.fa1	203280bj1	203280.fa	203280bj	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 2^{21} \cdot 3^{5} \cdot 5 \cdot 7^{7} \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$840$	$2$	$0$	$0.655637165$	$1$		$4$	$2177280$	$2.139008$	$-30795427858316209/512309629440$	$0.98436$	$4.18153$	$[0, 1, 0, -516776, -145201740]$	\(y^2=x^3+x^2-516776x-145201740\)	840.2.0.?	$[(1006, 18816)]$
381150.fy1	381150fy1	381150.fy	381150fy	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	\( - 2^{9} \cdot 3^{11} \cdot 5^{7} \cdot 7^{7} \cdot 11^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$840$	$2$	$0$	$1$	$1$		$0$	$17418240$	$2.799885$	$-30795427858316209/512309629440$	$0.98436$	$4.59410$	$[1, -1, 0, -7267167, -7646222259]$	\(y^2+xy=x^3-x^2-7267167x-7646222259\)	840.2.0.?	$[ ]$
381150.la1	381150la1	381150.la	381150la	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	\( - 2^{9} \cdot 3^{11} \cdot 5^{7} \cdot 7^{7} \cdot 11^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$840$	$2$	$0$	$1$	$1$		$0$	$191600640$	$3.998833$	$-30795427858316209/512309629440$	$0.98436$	$5.71366$	$[1, -1, 1, -879327230, 10179759808397]$	\(y^2+xy+y=x^3-x^2-879327230x+10179759808397\)	840.2.0.?	$[ ]$

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