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.u5	2310t4	2310.u	2310t	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{3} \cdot 3^{3} \cdot 5 \cdot 7^{12} \cdot 11 \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	4.6.0.1, 3.8.0.1	2B, 3B.1.1	$9240$	$384$	$5$	$1$	$4$	$2$	$4$	$13824$	$1.573116$	$31522423139920199089/164434491947880$	$0.99430$	$5.79693$	$[1, 0, 0, -65811, -6474375]$	\(y^2+xy=x^3-65811x-6474375\)	2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 12.48.0-12.g.1.12, $\ldots$	$[]$
6930.q5	6930o5	6930.q	6930o	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{3} \cdot 3^{9} \cdot 5 \cdot 7^{12} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.8.0.2	2B, 3B.1.2	$9240$	$384$	$5$	$1.700262362$	$1$		$4$	$110592$	$2.122421$	$31522423139920199089/164434491947880$	$0.99430$	$5.82216$	$[1, -1, 0, -592299, 174808125]$	\(y^2+xy=x^3-x^2-592299x+174808125\)	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, $\ldots$	$[(579, 4782)]$
11550.a5	11550c4	11550.a	11550c	$8$	$12$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{3} \cdot 3^{3} \cdot 5^{7} \cdot 7^{12} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.7, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$4.438822717$	$4$	$2$	$2$	$331776$	$2.377834$	$31522423139920199089/164434491947880$	$0.99430$	$5.83187$	$[1, 1, 0, -1645275, -809296875]$	\(y^2+xy=x^3+x^2-1645275x-809296875\)	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, $\ldots$	$[(-725, 2125)]$
16170.bn5	16170bn5	16170.bn	16170bn	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{3} \cdot 3^{3} \cdot 5 \cdot 7^{18} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.6, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$1$	$4$	$2$	$0$	$663552$	$2.546070$	$31522423139920199089/164434491947880$	$0.99430$	$5.83771$	$[1, 1, 1, -3224740, 2217485885]$	\(y^2+xy+y=x^3+x^2-3224740x+2217485885\)	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, $\ldots$	$[]$
18480.l5	18480bm5	18480.l	18480bm	$8$	$12$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{15} \cdot 3^{3} \cdot 5 \cdot 7^{12} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$7.068898643$	$1$		$3$	$331776$	$2.266262$	$31522423139920199089/164434491947880$	$0.99430$	$5.41659$	$[0, -1, 0, -1052976, 414360000]$	\(y^2=x^3-x^2-1052976x+414360000\)	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.1.8, $\ldots$	$[(1301, 35282)]$
25410.v5	25410w4	25410.v	25410w	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{3} \cdot 3^{3} \cdot 5 \cdot 7^{12} \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$3.773774146$	$1$		$4$	$1658880$	$2.772064$	$31522423139920199089/164434491947880$	$0.99430$	$5.84494$	$[1, 0, 1, -7963134, 8609429992]$	\(y^2+xy+y=x^3-7963134x+8609429992\)	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, $\ldots$	$[(1748, 4752)]$
34650.df5	34650da4	34650.df	34650da	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{3} \cdot 3^{9} \cdot 5^{7} \cdot 7^{12} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$1$	$1$		$0$	$2654208$	$2.927139$	$31522423139920199089/164434491947880$	$0.99430$	$5.84954$	$[1, -1, 1, -14807480, 21836208147]$	\(y^2+xy+y=x^3-x^2-14807480x+21836208147\)	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, $\ldots$	$[]$
48510.s5	48510ba4	48510.s	48510ba	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{3} \cdot 3^{9} \cdot 5 \cdot 7^{18} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$1$	$4$	$2$	$0$	$5308416$	$3.095375$	$31522423139920199089/164434491947880$	$0.99430$	$5.85423$	$[1, -1, 0, -29022660, -59901141560]$	\(y^2+xy=x^3-x^2-29022660x-59901141560\)	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, $\ldots$	$[]$
55440.cx5	55440dz4	55440.cx	55440dz	$8$	$12$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{15} \cdot 3^{9} \cdot 5 \cdot 7^{12} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$1$	$4$	$2$	$1$	$2654208$	$2.815567$	$31522423139920199089/164434491947880$	$0.99430$	$5.47527$	$[0, 0, 0, -9476787, -11178243214]$	\(y^2=x^3-9476787x-11178243214\)	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.dy5	73920bs4	73920.dy	73920bs	$8$	$12$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{21} \cdot 3^{3} \cdot 5 \cdot 7^{12} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$1$	$4$	$2$	$1$	$2654208$	$2.612835$	$31522423139920199089/164434491947880$	$0.99430$	$5.11776$	$[0, -1, 0, -4211905, -3310668095]$	\(y^2=x^3-x^2-4211905x-3310668095\)	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, $\ldots$	$[]$
73920.gp5	73920hf4	73920.gp	73920hf	$8$	$12$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{21} \cdot 3^{3} \cdot 5 \cdot 7^{12} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$1$	$4$	$2$	$1$	$2654208$	$2.612835$	$31522423139920199089/164434491947880$	$0.99430$	$5.11776$	$[0, 1, 0, -4211905, 3310668095]$	\(y^2=x^3+x^2-4211905x+3310668095\)	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, $\ldots$	$[]$
76230.ee5	76230ej4	76230.ee	76230ej	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{3} \cdot 3^{9} \cdot 5 \cdot 7^{12} \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.12.0.8, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$9.152476261$	$4$	$2$	$2$	$13271040$	$3.321369$	$31522423139920199089/164434491947880$	$0.99430$	$5.86009$	$[1, -1, 1, -71668202, -232454609791]$	\(y^2+xy+y=x^3-x^2-71668202x-232454609791\)	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, $\ldots$	$[(10099, 266403)]$
80850.cl5	80850bz4	80850.cl	80850bz	$8$	$12$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{3} \cdot 3^{3} \cdot 5^{7} \cdot 7^{18} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$5.751201489$	$1$		$2$	$15925248$	$3.350788$	$31522423139920199089/164434491947880$	$0.99430$	$5.86082$	$[1, 0, 1, -80618501, 277346972648]$	\(y^2+xy+y=x^3-80618501x+277346972648\)	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, $\ldots$	$[(5622, 39751)]$
92400.ho5	92400hj4	92400.ho	92400hj	$8$	$12$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{15} \cdot 3^{3} \cdot 5^{7} \cdot 7^{12} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.8, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$1.860432407$	$1$		$5$	$7962624$	$3.070980$	$31522423139920199089/164434491947880$	$0.99430$	$5.49871$	$[0, 1, 0, -26324408, 51742351188]$	\(y^2=x^3+x^2-26324408x+51742351188\)	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, $\ldots$	$[(4348, 139650)]$
127050.gv5	127050ga4	127050.gv	127050ga	$8$	$12$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{3} \cdot 3^{3} \cdot 5^{7} \cdot 7^{12} \cdot 11^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$1$	$1$		$0$	$39813120$	$3.576782$	$31522423139920199089/164434491947880$	$0.99430$	$5.86617$	$[1, 1, 1, -199078338, 1076178749031]$	\(y^2+xy+y=x^3+x^2-199078338x+1076178749031\)	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, $\ldots$	$[]$
129360.he5	129360ia4	129360.he	129360ia	$8$	$12$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{15} \cdot 3^{3} \cdot 5 \cdot 7^{18} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.6, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$1$	$4$	$2$	$1$	$15925248$	$3.239216$	$31522423139920199089/164434491947880$	$0.99430$	$5.51304$	$[0, 1, 0, -51595840, -142022288332]$	\(y^2=x^3+x^2-51595840x-142022288332\)	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, $\ldots$	$[]$
177870.bu5	177870hq5	177870.bu	177870hq	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( 2^{3} \cdot 3^{3} \cdot 5 \cdot 7^{18} \cdot 11^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$1$	$4$	$2$	$0$	$79626240$	$3.745018$	$31522423139920199089/164434491947880$	$0.99430$	$5.86990$	$[1, 1, 0, -390193542, -2953424680884]$	\(y^2+xy=x^3+x^2-390193542x-2953424680884\)	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, $\ldots$	$[]$
203280.bj5	203280de5	203280.bj	203280de	$8$	$12$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{15} \cdot 3^{3} \cdot 5 \cdot 7^{12} \cdot 11^{7} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$19.80730418$	$1$		$7$	$39813120$	$3.465210$	$31522423139920199089/164434491947880$	$0.99430$	$5.53105$	$[0, -1, 0, -127410136, -551003519504]$	\(y^2=x^3-x^2-127410136x-551003519504\)	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, $\ldots$	$[(14738, 878766), (-6675, 44786)]$
221760.cb5	221760ek5	221760.cb	221760ek	$8$	$12$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{21} \cdot 3^{9} \cdot 5 \cdot 7^{12} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$1$	$4$	$2$	$1$	$21233664$	$3.162144$	$31522423139920199089/164434491947880$	$0.99430$	$5.19650$	$[0, 0, 0, -37907148, -89425945712]$	\(y^2=x^3-37907148x-89425945712\)	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.dp5	221760ks4	221760.dp	221760ks	$8$	$12$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{21} \cdot 3^{9} \cdot 5 \cdot 7^{12} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$1.250280284$	$1$		$5$	$21233664$	$3.162144$	$31522423139920199089/164434491947880$	$0.99430$	$5.19650$	$[0, 0, 0, -37907148, 89425945712]$	\(y^2=x^3-37907148x+89425945712\)	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, $\ldots$	$[(-3602, 423360)]$
242550.nk5	242550nk5	242550.nk	242550nk	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{3} \cdot 3^{9} \cdot 5^{7} \cdot 7^{18} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$8.853420983$	$4$	$2$	$2$	$127401984$	$3.900097$	$31522423139920199089/164434491947880$	$0.99430$	$5.87315$	$[1, -1, 1, -725566505, -7488368261503]$	\(y^2+xy+y=x^3-x^2-725566505x-7488368261503\)	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, $\ldots$	$[(40009, 5226370)]$
277200.ir5	277200ir5	277200.ir	277200ir	$8$	$12$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{15} \cdot 3^{9} \cdot 5^{7} \cdot 7^{12} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$1$	$1$		$1$	$63700992$	$3.620289$	$31522423139920199089/164434491947880$	$0.99430$	$5.54266$	$[0, 0, 0, -236919675, -1397280401750]$	\(y^2=x^3-236919675x-1397280401750\)	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, $\ldots$	$[]$
369600.ic5	369600ic4	369600.ic	369600ic	$8$	$12$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{21} \cdot 3^{3} \cdot 5^{7} \cdot 7^{12} \cdot 11 \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.12.0.7, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$4.297980540$	$1$		$7$	$63700992$	$3.417557$	$31522423139920199089/164434491947880$	$0.99430$	$5.22852$	$[0, -1, 0, -105297633, 414044107137]$	\(y^2=x^3-x^2-105297633x+414044107137\)	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, $\ldots$	$[(6443, 55076)]$
369600.pw5	369600pw5	369600.pw	369600pw	$8$	$12$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{21} \cdot 3^{3} \cdot 5^{7} \cdot 7^{12} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.12.0.8, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$8.790519446$	$1$		$1$	$63700992$	$3.417557$	$31522423139920199089/164434491947880$	$0.99430$	$5.22852$	$[0, 1, 0, -105297633, -414044107137]$	\(y^2=x^3+x^2-105297633x-414044107137\)	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, $\ldots$	$[(-24459/2, 280623/2)]$
381150.gp5	381150gp5	381150.gp	381150gp	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{3} \cdot 3^{9} \cdot 5^{7} \cdot 7^{12} \cdot 11^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$1$	$1$		$0$	$318504960$	$4.126091$	$31522423139920199089/164434491947880$	$0.99430$	$5.87761$	$[1, -1, 0, -1791705042, -29058617928884]$	\(y^2+xy=x^3-x^2-1791705042x-29058617928884\)	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, $\ldots$	$[]$
388080.bq5	388080bq4	388080.bq	388080bq	$8$	$12$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{15} \cdot 3^{9} \cdot 5 \cdot 7^{18} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$9240$	$384$	$5$	$1$	$4$	$2$	$1$	$127401984$	$3.788525$	$31522423139920199089/164434491947880$	$0.99430$	$5.55461$	$[0, 0, 0, -464362563, 3834137422402]$	\(y^2=x^3-464362563x+3834137422402\)	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.ce5	390390ce5	390390.ce	390390ce	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13^{2} \)	\( 2^{3} \cdot 3^{3} \cdot 5 \cdot 7^{12} \cdot 11 \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$120120$	$384$	$5$	$1$	$16$	$2$	$0$	$31850496$	$2.855591$	$31522423139920199089/164434491947880$	$0.99430$	$4.68252$	$[1, 0, 1, -11122063, -14213079814]$	\(y^2+xy+y=x^3-11122063x-14213079814\)	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, $\ldots$	$[]$