Elliptic curve search results

Results (27 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
2310.h6	2310g1	2310.h	2310g	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{12} \cdot 3^{6} \cdot 5 \cdot 7^{3} \cdot 11 \)	$1$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.12.0.12, 3.8.0.1	2B, 3B.1.1	$9240$	$384$	$5$	$3.327524201$	$1$		$11$	$13824$	$1.589788$	$2601656892010848045529/56330588160$	$1.00969$	$6.36674$	$[1, 0, 1, -286534, 59011352]$	\(y^2+xy+y=x^3-286534x+59011352\)	2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 8.12.0-4.c.1.2, $\ldots$	$[(334, 605)]$
6930.bl6	6930bl1	6930.bl	6930bl	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{12} \cdot 3^{12} \cdot 5 \cdot 7^{3} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.8.0.2	2B, 3B.1.2	$9240$	$384$	$5$	$1$	$1$		$1$	$110592$	$2.139095$	$2601656892010848045529/56330588160$	$1.00969$	$6.32118$	$[1, -1, 1, -2578802, -1593306511]$	\(y^2+xy+y=x^3-x^2-2578802x-1593306511\)	2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 12.48.0-12.g.1.10, $\ldots$	$[]$
11550.bl6	11550bk1	11550.bl	11550bk	$8$	$12$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{12} \cdot 3^{6} \cdot 5^{7} \cdot 7^{3} \cdot 11 \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.12.0.7, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$1$	$1$		$3$	$331776$	$2.394508$	$2601656892010848045529/56330588160$	$1.00969$	$6.30364$	$[1, 1, 1, -7163338, 7376419031]$	\(y^2+xy+y=x^3+x^2-7163338x+7376419031\)	2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.1, 6.12.0.a.1, 12.48.0-12.g.1.1, $\ldots$	$[]$
16170.k6	16170m1	16170.k	16170m	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{12} \cdot 3^{6} \cdot 5 \cdot 7^{9} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$21.27238609$	$1$		$1$	$663552$	$2.562744$	$2601656892010848045529/56330588160$	$1.00969$	$6.29310$	$[1, 1, 0, -14040142, -20254933964]$	\(y^2+xy=x^3+x^2-14040142x-20254933964\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[(-66908229675/5561, 188353560740836/5561)]$
18480.k6	18480bn1	18480.k	18480bn	$8$	$12$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{24} \cdot 3^{6} \cdot 5 \cdot 7^{3} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.12, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$17.94125785$	$1$		$1$	$331776$	$2.282936$	$2601656892010848045529/56330588160$	$1.00969$	$5.86580$	$[0, -1, 0, -4584536, -3776726544]$	\(y^2=x^3-x^2-4584536x-3776726544\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.2, $\ldots$	$[(1370475820/703, 24138212354048/703)]$
25410.cj6	25410cl1	25410.cj	25410cl	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{12} \cdot 3^{6} \cdot 5 \cdot 7^{3} \cdot 11^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$1$	$1$		$1$	$1658880$	$2.788734$	$2601656892010848045529/56330588160$	$1.00969$	$6.28004$	$[1, 0, 0, -34670556, -78578780400]$	\(y^2+xy=x^3-34670556x-78578780400\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[]$
34650.n6	34650s1	34650.n	34650s	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{12} \cdot 3^{12} \cdot 5^{7} \cdot 7^{3} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$16.16769282$	$1$		$1$	$2654208$	$2.943813$	$2601656892010848045529/56330588160$	$1.00969$	$6.27173$	$[1, -1, 0, -64470042, -199227783884]$	\(y^2+xy=x^3-x^2-64470042x-199227783884\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.5, $\ldots$	$[(149834909/41, 1823290204153/41)]$
48510.cu6	48510dk1	48510.cu	48510dk	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{12} \cdot 3^{12} \cdot 5 \cdot 7^{9} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$2.032955478$	$1$		$5$	$5308416$	$3.112049$	$2601656892010848045529/56330588160$	$1.00969$	$6.26326$	$[1, -1, 1, -126361283, 546756855747]$	\(y^2+xy+y=x^3-x^2-126361283x+546756855747\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[(6485, -3972)]$
55440.df6	55440dx1	55440.df	55440dx	$8$	$12$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{24} \cdot 3^{12} \cdot 5 \cdot 7^{3} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$1$	$4$	$2$	$1$	$2654208$	$2.832241$	$2601656892010848045529/56330588160$	$1.00969$	$5.87930$	$[0, 0, 0, -41260827, 102012877514]$	\(y^2=x^3-41260827x+102012877514\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.4, $\ldots$	$[]$
73920.dx6	73920bt1	73920.dx	73920bt	$8$	$12$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{30} \cdot 3^{6} \cdot 5 \cdot 7^{3} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.6, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$1$	$1$		$1$	$2654208$	$2.629509$	$2601656892010848045529/56330588160$	$1.00969$	$5.51142$	$[0, -1, 0, -18338145, 30232150497]$	\(y^2=x^3-x^2-18338145x+30232150497\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.5, $\ldots$	$[]$
73920.gn6	73920hg1	73920.gn	73920hg	$8$	$12$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{30} \cdot 3^{6} \cdot 5 \cdot 7^{3} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.6, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$1$	$4$	$2$	$1$	$2654208$	$2.629509$	$2601656892010848045529/56330588160$	$1.00969$	$5.51142$	$[0, 1, 0, -18338145, -30232150497]$	\(y^2=x^3+x^2-18338145x-30232150497\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.5, $\ldots$	$[]$
76230.bi6	76230bu1	76230.bi	76230bu	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{12} \cdot 3^{12} \cdot 5 \cdot 7^{3} \cdot 11^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$1$	$1$		$1$	$13271040$	$3.338043$	$2601656892010848045529/56330588160$	$1.00969$	$6.25267$	$[1, -1, 0, -312035004, 2121627070800]$	\(y^2+xy=x^3-x^2-312035004x+2121627070800\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[]$
80850.ge6	80850fx1	80850.ge	80850fx	$8$	$12$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{12} \cdot 3^{6} \cdot 5^{7} \cdot 7^{9} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$1$	$1$		$1$	$15925248$	$3.367462$	$2601656892010848045529/56330588160$	$1.00969$	$6.25136$	$[1, 0, 0, -351003563, -2531164738383]$	\(y^2+xy=x^3-351003563x-2531164738383\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[]$
92400.hu6	92400hf1	92400.hu	92400hf	$8$	$12$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{24} \cdot 3^{6} \cdot 5^{7} \cdot 7^{3} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.12.0.8, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$2.862363177$	$1$		$5$	$7962624$	$3.087654$	$2601656892010848045529/56330588160$	$1.00969$	$5.88469$	$[0, 1, 0, -114613408, -472320044812]$	\(y^2=x^3+x^2-114613408x-472320044812\)	2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.2, 6.12.0.a.1, 12.48.0-12.g.1.7, $\ldots$	$[(-6181, 84)]$
127050.bt6	127050be1	127050.bt	127050be	$8$	$12$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{12} \cdot 3^{6} \cdot 5^{7} \cdot 7^{3} \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$3.363085280$	$1$		$3$	$39813120$	$3.593452$	$2601656892010848045529/56330588160$	$1.00969$	$6.24169$	$[1, 1, 0, -866763900, -9822347550000]$	\(y^2+xy=x^3+x^2-866763900x-9822347550000\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[(423000, 274216500)]$
129360.hj6	129360hy1	129360.hj	129360hy	$8$	$12$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{24} \cdot 3^{6} \cdot 5 \cdot 7^{9} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$1$	$1$		$1$	$15925248$	$3.255890$	$2601656892010848045529/56330588160$	$1.00969$	$5.88798$	$[0, 1, 0, -224642280, 1295866489140]$	\(y^2=x^3+x^2-224642280x+1295866489140\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[]$
177870.gk6	177870cz1	177870.gk	177870cz	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( 2^{12} \cdot 3^{6} \cdot 5 \cdot 7^{9} \cdot 11^{7} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.12.0.7, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$4.704545870$	$1$		$5$	$79626240$	$3.761692$	$2601656892010848045529/56330588160$	$1.00969$	$6.23496$	$[1, 1, 1, -1698857245, 26950822819955]$	\(y^2+xy+y=x^3+x^2-1698857245x+26950822819955\)	2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.1, 6.12.0.a.1, 12.48.0-12.g.1.1, $\ldots$	$[(87335, 23295780)]$
203280.bo6	203280di1	203280.bo	203280di	$8$	$12$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{24} \cdot 3^{6} \cdot 5 \cdot 7^{3} \cdot 11^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$1$	$1$		$1$	$39813120$	$3.481884$	$2601656892010848045529/56330588160$	$1.00969$	$5.89213$	$[0, -1, 0, -554728896, 5029041945600]$	\(y^2=x^3-x^2-554728896x+5029041945600\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[]$
221760.ci6	221760ep1	221760.ci	221760ep	$8$	$12$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{30} \cdot 3^{12} \cdot 5 \cdot 7^{3} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$1$	$1$		$1$	$21233664$	$3.178814$	$2601656892010848045529/56330588160$	$1.00969$	$5.55503$	$[0, 0, 0, -165043308, 816103020112]$	\(y^2=x^3-165043308x+816103020112\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[]$
221760.dy6	221760kz1	221760.dy	221760kz	$8$	$12$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{30} \cdot 3^{12} \cdot 5 \cdot 7^{3} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$14.69096906$	$1$		$1$	$21233664$	$3.178814$	$2601656892010848045529/56330588160$	$1.00969$	$5.55503$	$[0, 0, 0, -165043308, -816103020112]$	\(y^2=x^3-165043308x-816103020112\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[(17772481/34, 20811917889/34)]$
242550.gw6	242550gw1	242550.gw	242550gw	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{12} \cdot 3^{12} \cdot 5^{7} \cdot 7^{9} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$1$	$1$		$1$	$127401984$	$3.916767$	$2601656892010848045529/56330588160$	$1.00969$	$6.22909$	$[1, -1, 0, -3159032067, 68341447936341]$	\(y^2+xy=x^3-x^2-3159032067x+68341447936341\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[]$
277200.ib6	277200ib1	277200.ib	277200ib	$8$	$12$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{24} \cdot 3^{12} \cdot 5^{7} \cdot 7^{3} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$1$	$1$		$1$	$63700992$	$3.636959$	$2601656892010848045529/56330588160$	$1.00969$	$5.89480$	$[0, 0, 0, -1031520675, 12751609689250]$	\(y^2=x^3-1031520675x+12751609689250\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.3, $\ldots$	$[]$
369600.in6	369600in1	369600.in	369600in	$8$	$12$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{30} \cdot 3^{6} \cdot 5^{7} \cdot 7^{3} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.7, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$20.75484581$	$1$		$1$	$63700992$	$3.434227$	$2601656892010848045529/56330588160$	$1.00969$	$5.57276$	$[0, -1, 0, -458453633, -3778101904863]$	\(y^2=x^3-x^2-458453633x-3778101904863\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.3, $\ldots$	$[(167569414741/2449, 33564817801797632/2449)]$
369600.qf6	369600qf1	369600.qf	369600qf	$8$	$12$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{30} \cdot 3^{6} \cdot 5^{7} \cdot 7^{3} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.8, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$7.567849299$	$1$		$1$	$63700992$	$3.434227$	$2601656892010848045529/56330588160$	$1.00969$	$5.57276$	$[0, 1, 0, -458453633, 3778101904863]$	\(y^2=x^3+x^2-458453633x+3778101904863\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.4, $\ldots$	$[(62677/2, 5318175/2)]$
381150.pw6	381150pw1	381150.pw	381150pw	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{12} \cdot 3^{12} \cdot 5^{7} \cdot 7^{3} \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$1.719158535$	$1$		$7$	$318504960$	$4.142761$	$2601656892010848045529/56330588160$	$1.00969$	$6.22103$	$[1, -1, 1, -7800875105, 265195582974897]$	\(y^2+xy+y=x^3-x^2-7800875105x+265195582974897\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[(50975, -32292)]$
388080.y6	388080y1	388080.y	388080y	$8$	$12$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{24} \cdot 3^{12} \cdot 5 \cdot 7^{9} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$1$	$1$		$1$	$127401984$	$3.805195$	$2601656892010848045529/56330588160$	$1.00969$	$5.89755$	$[0, 0, 0, -2021780523, -34990416987302]$	\(y^2=x^3-2021780523x-34990416987302\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[]$
390390.ep6	390390ep1	390390.ep	390390ep	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13^{2} \)	\( 2^{12} \cdot 3^{6} \cdot 5 \cdot 7^{3} \cdot 11 \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$120120$	$384$	$5$	$2.204120944$	$1$		$5$	$31850496$	$2.872261$	$2601656892010848045529/56330588160$	$1.00969$	$5.02529$	$[1, 0, 0, -48424165, 129696365057]$	\(y^2+xy=x^3-48424165x+129696365057\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[(4022, -1525)]$